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Title Instructor Location Time All taxonomy terms Description Section Description Cross Listings Fulfills Registration Notes Syllabus Syllabus URL Course Syllabus URL
AMCS 5100-401 Complex Analysis Jonathan Block TR 1:45 PM-3:14 PM Complex numbers, DeMoivre's theorem, complex valued functions of a complex variable, the derivative, analytic functions, the Cauchy-Riemann equations, complex integration, Cauchy's integral theorem, residues, computation of definite integrals by residues, and elementary conformal mapping. MATH4100401
AMCS 5141-401 Advanced Linear Algebra Irfan Alam TR 1:45 PM-3:14 PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. MATH3140401, MATH5140401
AMCS 5141-402 Advanced Linear Algebra M 7:00 PM-8:59 PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. MATH3140402, MATH5140402
AMCS 5141-403 Advanced Linear Algebra W 7:00 PM-8:59 PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. MATH3140403, MATH5140403
AMCS 6025-001 Algebraic Techniques for Applied Mathematics and Computational Science, I. Daniel Gomez TR 8:30 AM-9:59 AM We turn to linear algebra and the structural properties of linear systems of equations relevant to their numerical solution. In this context we introduce eigenvalues and the spectral theory of matrices. Methods appropriate to the numerical solution of very large systems are discussed. We discuss modern techniques using randomized algorithms for fast matrix-vector multiplication, and fast direct solvers. Topics covered include the classical Fast Multipole Method, the interpolative decomposition, structured matrix algebra, randomized methods for low-rank approximation, and fast direct solvers for sparse matrices. These techniques are of central importance in applications of linear algebra to the numerical solution of PDE, and in Machine Learning. The theoretical content of this course is illustrated and supplemented throughout the year with substantial computational examples and assignments.
AMCS 6081-401 Analysis Robert M Strain TR 10:15 AM-11:44 AM Complex analysis: analyticity, Cauchy theory, meromorphic functions, isolated singularities, analytic continuation, Runge's theorem, d-bar equation, Mittlag-Leffler theorem, harmonic and sub-harmonic functions, Riemann mapping theorem, Fourier transform from the analytic perspective. Introduction to real analysis: Weierstrass approximation, Lebesgue measure in Euclidean spaces, Borel measures and convergence theorems, C0 and the Riesz-Markov theorem, Lp-spaces, Fubini Theorem. MATH6080401
AMCS 6481-401 Probability Theory Jiaoyang Huang MW 1:45 PM-3:14 PM Measure theoretic foundations, laws of large numbers, large deviations, distributional limit theorems, Poisson processes, random walks, stopping times. MATH6480401, STAT9300401
MATH 0030-101 Introduction to Calculus Lab Nakia Rimmer F 8:30 AM-9:59 AM Lab for Math 103
MATH 0030-102 Introduction to Calculus Lab Nakia Rimmer F 10:15 AM-11:44 AM Lab for Math 103
MATH 0030-103 Introduction to Calculus Lab Nakia Rimmer F 12:00 PM-1:29 PM Lab for Math 103
MATH 0030-104 Introduction to Calculus Lab Nakia Rimmer F 1:45 PM-3:14 PM Lab for Math 103
MATH 0030-105 Introduction to Calculus Lab Nakia Rimmer F 3:30 PM-4:59 PM Lab for Math 103
MATH 0040-101 Calculus Lab I Brett S Frankel F 8:30 AM-9:59 AM Lab for Math 1400
MATH 0040-102 Calculus Lab I Brett S Frankel F 10:15 AM-11:44 AM Lab for Math 1400
MATH 0040-103 Calculus Lab I Brett S Frankel F 12:00 PM-1:29 PM Lab for Math 1400
MATH 0040-104 Calculus Lab I Brett S Frankel F 1:45 PM-3:14 PM Lab for Math 1400
MATH 0040-105 Calculus Lab I Brett S Frankel F 3:30 PM-4:59 PM Lab for Math 1400
MATH 0140-101 Calculus II Lab Robert W Ghrist F 8:30 AM-9:59 AM Lab for Math 114
MATH 0140-102 Calculus II Lab Robert W Ghrist F 10:15 AM-11:44 AM Lab for Math 114
MATH 0140-103 Calculus II Lab Robert W Ghrist F 12:00 PM-1:29 PM Lab for Math 114
MATH 0140-104 Calculus II Lab Robert W Ghrist F 1:45 PM-3:14 PM Lab for Math 114
MATH 0140-105 Calculus II Lab Robert W Ghrist F 3:30 PM-4:59 PM Lab for Math 114
MATH 0240-101 Calculus III Lab Dennis M Deturck F 8:30 AM-9:59 AM Lab for Math 240
MATH 0240-102 Calculus III Lab Dennis M Deturck F 10:15 AM-11:44 AM Lab for Math 240
MATH 0240-103 Calculus III Lab Dennis M Deturck F 12:00 PM-1:29 PM Lab for Math 240
MATH 0240-104 Calculus III Lab Dennis M Deturck F 1:45 PM-3:14 PM Lab for Math 240
MATH 0240-105 Calculus III Lab Dennis M Deturck F 3:30 PM-4:59 PM Lab for Math 240
MATH 1070-201 Mathematics of change, Part I W 1:45 PM-3:14 PM Limits, orders of magnitude, differential and integral calculus; Taylor polynomials; estimating and bounding; probability densities. Mathematical modeling and applications to the social, economic and information sciences. Nat Sci & Math Sector (new curriculum only)
MATH 1070-301 Mathematics of change, Part I Andrew Cooper MF 1:45 PM-3:14 PM Limits, orders of magnitude, differential and integral calculus; Taylor polynomials; estimating and bounding; probability densities. Mathematical modeling and applications to the social, economic and information sciences. Nat Sci & Math Sector (new curriculum only)
MATH 1300-001 Introduction to Calculus Nakia Rimmer M 12:00 PM-1:29 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1300-002 Introduction to Calculus Nakia Rimmer W 12:00 PM-1:29 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1300-003 Introduction to Calculus Fnu Rakvi T 1:45 PM-3:14 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1300-004 Introduction to Calculus Fnu Rakvi R 1:45 PM-3:14 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1300-201 Introduction to Calculus W 12:00 PM-1:29 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1300-202 Introduction to Calculus W 12:00 PM-1:29 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1300-203 Introduction to Calculus M 12:00 PM-1:29 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1300-204 Introduction to Calculus M 12:00 PM-1:29 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1300-211 Introduction to Calculus R 1:45 PM-3:14 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1300-212 Introduction to Calculus R 1:45 PM-3:14 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1300-213 Introduction to Calculus T 1:45 PM-3:14 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1300-214 Introduction to Calculus T 1:45 PM-3:14 PM Introduction to concepts and methods of calculus for students with little or no previous calculus experience. Polynomial and elementary transcendental functions and their applications, derivatives, extremum problems, curve-sketching, approximations; integrals and the fundamental theorem of calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-001 Calculus, Part I Andrew Cooper M 10:15 AM-11:44 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-002 Calculus, Part I Andrew Cooper W 10:15 AM-11:44 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-003 Calculus, Part I Irfan Alam T 12:00 PM-1:29 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-004 Calculus, Part I Irfan Alam R 12:00 PM-1:29 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-005 Calculus, Part I T 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-006 Calculus, Part I R 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-007 Calculus, Part I Patrick Shields T 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-008 Calculus, Part I Patrick Shields R 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-009 Calculus, Part I Nakia Rimmer M 8:30 AM-9:59 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-010 Calculus, Part I Nakia Rimmer W 8:30 AM-9:59 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-011 Calculus, Part I Brett S Frankel M 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-012 Calculus, Part I Brett S Frankel W 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-013 Calculus, Part I Andrew Cooper M 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-014 Calculus, Part I Andrew Cooper W 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-201 Calculus, Part I W 10:15 AM-11:44 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-202 Calculus, Part I W 10:15 AM-11:44 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-203 Calculus, Part I M 10:15 AM-11:44 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-204 Calculus, Part I M 10:15 AM-11:44 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-205 Calculus, Part I R 12:00 PM-1:29 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-206 Calculus, Part I R 12:00 PM-1:29 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-207 Calculus, Part I T 12:00 PM-1:29 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-208 Calculus, Part I T 12:00 PM-1:29 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-209 Calculus, Part I R 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-210 Calculus, Part I R 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-211 Calculus, Part I T 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-212 Calculus, Part I T 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-213 Calculus, Part I R 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-214 Calculus, Part I R 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-215 Calculus, Part I T 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-216 Calculus, Part I T 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-217 Calculus, Part I W 8:30 AM-9:59 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-218 Calculus, Part I W 8:30 AM-9:59 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-219 Calculus, Part I M 8:30 AM-9:59 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-220 Calculus, Part I M 8:30 AM-9:59 AM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-221 Calculus, Part I W 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-222 Calculus, Part I W 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-223 Calculus, Part I M 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-224 Calculus, Part I M 1:45 PM-3:14 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-225 Calculus, Part I W 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-226 Calculus, Part I W 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-227 Calculus, Part I M 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-228 Calculus, Part I M 3:30 PM-4:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1400-601 Calculus, Part I MW 7:00 PM-8:59 PM Brief review of High School calculus, applications of integrals, transcendental functions, methods of integration, infinite series, Taylor's theorem, and first order ordinary differential equations. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis <span class="penncourse-course-notes">Perm Needed From Department</span>
MATH 1410-001 Calculus, Part II M 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-002 Calculus, Part II W 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-003 Calculus, Part II Yingdi Qin T 8:30 AM-9:59 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-004 Calculus, Part II Yingdi Qin R 8:30 AM-9:59 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-005 Calculus, Part II Robert W Ghrist T 1:45 PM-3:14 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis https://coursesintouch.apps.upenn.edu/cpr/jsp/fast.do?webService=syll&t=202230&c=MATH1410005
MATH 1410-006 Calculus, Part II Robert W Ghrist R 1:45 PM-3:14 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis https://coursesintouch.apps.upenn.edu/cpr/jsp/fast.do?webService=syll&t=202230&c=MATH1410006
MATH 1410-007 Calculus, Part II M 10:15 AM-11:44 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-008 Calculus, Part II W 10:15 AM-11:44 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-009 Calculus, Part II M 3:30 PM-4:59 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-010 Calculus, Part II W 3:30 PM-4:59 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-011 Calculus, Part II T 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-012 Calculus, Part II R 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-201 Calculus, Part II W 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-202 Calculus, Part II W 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-203 Calculus, Part II M 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-204 Calculus, Part II M 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-205 Calculus, Part II R 8:30 AM-9:59 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-206 Calculus, Part II R 8:30 AM-9:59 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-207 Calculus, Part II T 8:30 AM-9:59 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-208 Calculus, Part II T 8:30 AM-9:59 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-209 Calculus, Part II R 1:45 PM-3:14 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-210 Calculus, Part II R 1:45 PM-3:14 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-211 Calculus, Part II T 1:45 PM-3:14 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-212 Calculus, Part II T 1:45 PM-3:14 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-213 Calculus, Part II W 10:15 AM-11:44 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-214 Calculus, Part II W 10:15 AM-11:44 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-215 Calculus, Part II M 10:15 AM-11:44 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-216 Calculus, Part II M 10:15 AM-11:44 AM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-217 Calculus, Part II W 3:30 PM-4:59 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-218 Calculus, Part II W 3:30 PM-4:59 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-219 Calculus, Part II M 3:30 PM-4:59 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-220 Calculus, Part II M 3:30 PM-4:59 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-221 Calculus, Part II R 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-222 Calculus, Part II R 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-223 Calculus, Part II T 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-224 Calculus, Part II T 12:00 PM-1:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1410-601 Calculus, Part II Christopher J Bailey
Nakia Rimmer
TR 7:00 PM-8:29 PM Functions of several variables, vector-valued functions, partial derivatives and applications, double and triple integrals, conic sections, polar coordinates, vectors and vector calculus, first order ordinary differential equations. Applications to physical sciences. Use of symbolic manipulation and graphics software in calculus. General Requirement in Formal Reasoning & Analysis
MATH 1610-001 Honors Calculus Herman Gluck TR 12:00 PM-1:29 PM Students who are interested in math or science might also want to consider a more challenging Honors version of Calculus II and III, Math 1610 and Math 2600 (the analogues of Math 1410 and Math 2400, respectively). These courses will cover essentially the same material as 1610 and 2400, but more in depth and involve discussion of the underlying theory as well as computations. General Requirement in Formal Reasoning & Analysis
MATH 1610-201 Honors Calculus M 7:00 PM-8:59 PM Students who are interested in math or science might also want to consider a more challenging Honors version of Calculus II and III, Math 1610 and Math 2600 (the analogues of Math 1410 and Math 2400, respectively). These courses will cover essentially the same material as 1610 and 2400, but more in depth and involve discussion of the underlying theory as well as computations. General Requirement in Formal Reasoning & Analysis
MATH 1610-202 Honors Calculus W 7:00 PM-8:59 PM Students who are interested in math or science might also want to consider a more challenging Honors version of Calculus II and III, Math 1610 and Math 2600 (the analogues of Math 1410 and Math 2400, respectively). These courses will cover essentially the same material as 1610 and 2400, but more in depth and involve discussion of the underlying theory as well as computations. General Requirement in Formal Reasoning & Analysis
MATH 1700-001 Ideas in Mathematics Angela Gibney TR 1:45 PM-3:14 PM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Nat Sci & Math Sector (new curriculum only)
MATH 1700-002 Ideas in Mathematics MWF 1:45 PM-2:44 PM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Nat Sci & Math Sector (new curriculum only)
MATH 1700-201 Ideas in Mathematics M 8:30 AM-9:29 AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Nat Sci & Math Sector (new curriculum only)
MATH 1700-202 Ideas in Mathematics M 10:15 AM-11:14 AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Nat Sci & Math Sector (new curriculum only)
MATH 1700-203 Ideas in Mathematics W 8:30 AM-9:29 AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Nat Sci & Math Sector (new curriculum only)
MATH 1700-204 Ideas in Mathematics W 10:15 AM-11:14 AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Nat Sci & Math Sector (new curriculum only)
MATH 1700-205 Ideas in Mathematics T 8:30 AM-9:29 AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Nat Sci & Math Sector (new curriculum only)
MATH 1700-206 Ideas in Mathematics T 10:15 AM-11:14 AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Nat Sci & Math Sector (new curriculum only)
MATH 1700-207 Ideas in Mathematics R 8:30 AM-9:29 AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Nat Sci & Math Sector (new curriculum only)
MATH 1700-208 Ideas in Mathematics R 10:15 AM-11:14 AM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Nat Sci & Math Sector (new curriculum only)
MATH 1700-601 Ideas in Mathematics MW 7:00 PM-8:29 PM Topics from among the following: logic, sets, calculus, probability, history and philosophy of mathematics, game theory, geometry, and their relevance to contemporary science and society. Nat Sci & Math Sector (new curriculum only)
MATH 2020-101 Proving Things: Analysis T 7:00 PM-8:59 PM This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying real and complex numbers, sequences, series, continuity, differentiability and integrability. Small class sizes permit an informal, discussion-type atmosphere, and often the entire class works together on a given problem. Homework is intended to be thought-provoking, rather than skill-sharpening. Nat Sci & Math Sector (new curriculum only)
MATH 2020-102 Proving Things: Analysis R 7:00 PM-8:59 PM This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying real and complex numbers, sequences, series, continuity, differentiability and integrability. Small class sizes permit an informal, discussion-type atmosphere, and often the entire class works together on a given problem. Homework is intended to be thought-provoking, rather than skill-sharpening. Nat Sci & Math Sector (new curriculum only)
MATH 2020-301 Proving Things: Analysis Truong-Son Van MWF 12:00 PM-12:59 PM This course focuses on the creative side of mathematics, with an emphasis on discovery, reasoning, proofs and effective communication, while at the same time studying real and complex numbers, sequences, series, continuity, differentiability and integrability. Small class sizes permit an informal, discussion-type atmosphere, and often the entire class works together on a given problem. Homework is intended to be thought-provoking, rather than skill-sharpening. Nat Sci & Math Sector (new curriculum only)
MATH 2400-001 Calculus, Part III Dennis M Deturck T 10:15 AM-11:44 AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-002 Calculus, Part III Dennis M Deturck R 10:15 AM-11:44 AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-003 Calculus, Part III Dennis M Deturck T 3:30 PM-4:59 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-004 Calculus, Part III Dennis M Deturck R 3:30 PM-4:59 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-005 Calculus, Part III M 1:45 PM-3:14 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-006 Calculus, Part III W 1:45 PM-3:14 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-201 Calculus, Part III R 10:15 AM-11:44 AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-202 Calculus, Part III R 10:15 AM-11:44 AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-203 Calculus, Part III T 10:15 AM-11:44 AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-204 Calculus, Part III T 10:15 AM-11:44 AM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-205 Calculus, Part III R 3:30 PM-4:29 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-206 Calculus, Part III R 3:30 PM-4:29 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-207 Calculus, Part III T 3:30 PM-4:29 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-208 Calculus, Part III T 3:30 PM-4:29 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-209 Calculus, Part III W 1:45 PM-3:14 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-210 Calculus, Part III W 1:45 PM-3:14 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-211 Calculus, Part III M 1:45 PM-3:14 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2400-212 Calculus, Part III M 1:45 PM-3:14 PM Linear algebra: vectors, matrices, systems of linear equations, vector spaces, subspaces, spans, bases, and dimension, eigenvalues, and eigenvectors, maxtrix exponentials. Ordinary differential equations: higher-order homogeneous and inhomogeneous ODEs and linear systems of ODEs, phase plane analysis, non-linear systems.
MATH 2410-001 Calculus, Part IV Ching-Li Chai MWF 1:45 PM-2:44 PM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
MATH 2410-002 Calculus, Part IV TR 1:45 PM-3:14 PM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
MATH 2410-201 Calculus, Part IV T 8:30 AM-9:29 AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
MATH 2410-202 Calculus, Part IV T 10:15 AM-11:14 AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
MATH 2410-203 Calculus, Part IV R 8:30 AM-9:29 AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
MATH 2410-204 Calculus, Part IV R 10:15 AM-11:14 AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
MATH 2410-205 Calculus, Part IV M 8:30 AM-9:29 AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
MATH 2410-206 Calculus, Part IV M 10:15 AM-11:14 AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
MATH 2410-207 Calculus, Part IV W 8:30 AM-9:29 AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
MATH 2410-208 Calculus, Part IV W 10:15 AM-11:14 AM Partial differential equations and their solutions, including solutions of the wave, heat and Laplace equations, and Sturm-Liouville problems. Introduction to Fourier series and Fourier transforms. Computation of solutions, modeling using PDE's, geometric intuition, and qualitative understanding of the evolution of systems according to the type of partial differential operator.
MATH 2990-001 Undergraduate Research in Mathematics CANCELED Research conducted with the supervision of a faculty member. Must be approved by the Undergraduate Chair. May be repeated for credit.
MATH 3120-001 Linear Algebra Davi Maximo-Alexandrino-Nogueir TR 10:15 AM-11:44 AM Linear transformations, Gauss Jordan elimination, eigenvalues and eigenvectors, theory and applications. Mathematics majors are advised that MATH 3120 cannot be taken to satisfy the major requirements.
MATH 3120-002 Linear Algebra MWF 12:00 PM-12:59 PM Linear transformations, Gauss Jordan elimination, eigenvalues and eigenvectors, theory and applications. Mathematics majors are advised that MATH 3120 cannot be taken to satisfy the major requirements.
MATH 3140-401 Advanced Linear Algebra Irfan Alam TR 1:45 PM-3:14 PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. AMCS5141401, MATH5140401
MATH 3140-402 Advanced Linear Algebra M 7:00 PM-8:59 PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. AMCS5141402, MATH5140402
MATH 3140-403 Advanced Linear Algebra W 7:00 PM-8:59 PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products: Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. AMCS5141403, MATH5140403
MATH 3200-001 Computer Methods in Mathematical Science I Robert M Strain TR 12:00 PM-1:29 PM Students will use symbolic manipulation software and write programs to solve problems in numerical quadrature, equation-solving, linear algebra and differential equations. Theoretical and computational aspects of the methods will be discussed along with error analysis and a critical comparison of methods.
MATH 3400-401 Discrete Mathematics I Andre Scedrov TR 10:15 AM-11:44 AM Topics will be drawn from some subjects in combinatorial analysis with applications to many other branches of math and science: graphs and networks, generating functions, permutations, posets, asymptotics. LGIC2100401 https://coursesintouch.apps.upenn.edu/cpr/jsp/fast.do?webService=syll&t=202230&c=MATH3400401
MATH 3600-001 Advanced Calculus Yumeng Ou MW 12:00 PM-1:29 PM Syllabus for MATH 360-361: a study of the foundations of the differential and integral calculus, including the real numbers and elementary topology, continuous and differentiable functions, uniform convergence of series of functions, and inverse and implicit function theorems. MATH 508-509 is a masters level version of this course.
MATH 3600-101 Advanced Calculus T 7:00 PM-8:59 PM Syllabus for MATH 360-361: a study of the foundations of the differential and integral calculus, including the real numbers and elementary topology, continuous and differentiable functions, uniform convergence of series of functions, and inverse and implicit function theorems. MATH 508-509 is a masters level version of this course.
MATH 3600-102 Advanced Calculus R 7:00 PM-8:59 PM Syllabus for MATH 360-361: a study of the foundations of the differential and integral calculus, including the real numbers and elementary topology, continuous and differentiable functions, uniform convergence of series of functions, and inverse and implicit function theorems. MATH 508-509 is a masters level version of this course.
MATH 3610-001 Advanced Calculus Danny Krashen TR 3:30 PM-4:59 PM Continuation of MATH 3600.
MATH 3610-101 Advanced Calculus M 7:00 PM-8:59 PM Continuation of MATH 3600.
MATH 3610-102 Advanced Calculus W 7:00 PM-8:59 PM Continuation of MATH 3600.
MATH 3700-001 Algebra Svetlana Makarova MW 12:00 PM-1:29 PM Syllabus for MATH 370-371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. MATH 502-503 is a masters level version of this course.
MATH 3700-101 Algebra T 7:00 PM-8:59 PM Syllabus for MATH 370-371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. MATH 502-503 is a masters level version of this course.
MATH 3700-102 Algebra R 7:00 PM-8:59 PM Syllabus for MATH 370-371: an introduction to the basic concepts of modern algebra. Linear algebra, eigenvalues and eigenvectors of matrices, groups, rings and fields. MATH 502-503 is a masters level version of this course.
MATH 3710-001 Algebra Maximilien Peroux MW 10:15 AM-11:44 AM Continuation of MATH 3700.
MATH 3710-101 Algebra T 7:00 PM-8:59 PM Continuation of MATH 3700.
MATH 3710-102 Algebra R 7:00 PM-8:59 PM Continuation of MATH 3700.
MATH 4100-401 Complex Analysis Jonathan Block TR 1:45 PM-3:14 PM Complex numbers, DeMoivre's theorem, complex valued functions of a complex variable, the derivative, analytic functions, the Cauchy-Riemann equations, complex integration, Cauchy's integral theorem, residues, computation of definite integrals by residues, and elementary conformal mapping. AMCS5100401
MATH 5000-401 Geometry-Topology, Differential Geometry Dennis M Deturck TR 1:45 PM-3:14 PM Point set topology: metric spaces and topological spaces, compactness, connectedness, continuity, extension theorems, separation axioms, quotient spaces, topologies on function spaces, Tychonoff theorem. Fundamental groups and covering spaces, and related topics.
MATH 5020-001 Abstract Algebra Brett S Frankel MW 10:15 AM-11:44 AM An introduction to groups, rings, fields and other abstract algebraic systems, elementary Galois Theory, and linear algebra -- a more theoretical course than Math 3700.
MATH 5020-101 Abstract Algebra T 7:00 PM-8:59 PM An introduction to groups, rings, fields and other abstract algebraic systems, elementary Galois Theory, and linear algebra -- a more theoretical course than Math 3700.
MATH 5020-102 Abstract Algebra R 7:00 PM-8:59 PM An introduction to groups, rings, fields and other abstract algebraic systems, elementary Galois Theory, and linear algebra -- a more theoretical course than Math 3700.
MATH 5080-001 Advanced Analysis Philip Gressman TR 10:15 AM-11:44 AM Construction of real numbers, the topology of the real line and the foundations of single variable calculus. Notions of convergence for sequences of functions. Basic approximation theorems for continuous functions and rigorous treatment of elementary transcendental functions. The course is intended to teach students how to read and construct rigorous formal proofs. A more theoretical course than Math 3600. https://coursesintouch.apps.upenn.edu/cpr/jsp/fast.do?webService=syll&t=202230&c=MATH5080001
MATH 5080-101 Advanced Analysis M 7:00 PM-8:59 PM Construction of real numbers, the topology of the real line and the foundations of single variable calculus. Notions of convergence for sequences of functions. Basic approximation theorems for continuous functions and rigorous treatment of elementary transcendental functions. The course is intended to teach students how to read and construct rigorous formal proofs. A more theoretical course than Math 3600.
MATH 5080-102 Advanced Analysis W 7:00 PM-8:59 PM Construction of real numbers, the topology of the real line and the foundations of single variable calculus. Notions of convergence for sequences of functions. Basic approximation theorems for continuous functions and rigorous treatment of elementary transcendental functions. The course is intended to teach students how to read and construct rigorous formal proofs. A more theoretical course than Math 3600.
MATH 5140-401 Advanced Linear Algebra Irfan Alam TR 1:45 PM-3:14 PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. AMCS5141401, MATH3140401
MATH 5140-402 Advanced Linear Algebra M 7:00 PM-8:59 PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. AMCS5141402, MATH3140402
MATH 5140-403 Advanced Linear Algebra W 7:00 PM-8:59 PM Topics will include: Vector spaces, Basis and dimension, quotients; Linear maps and matrices; Determinants, Dual spaces and maps; Invariant subspaces, Cononical forms; Scalar products; Euclidean, unitary and symplectic spaces; Orthogonal and Unitary operators; Tensor products and polylinear maps; Symmetric and skew-symmetric tensors and exterior algebra. AMCS5141403, MATH3140403
MATH 5700-401 Logic and Computability 1 Henry Piers Towsner TR 3:30 PM-4:59 PM The course focuses on topics drawn from the central areas of mathematical logic: model theory, proof theory, set theory, and computability theory. LGIC3100401, PHIL4721401, PHIL6721401
MATH 5800-001 Combinatorial Analysis Marino Romero TR 12:00 PM-1:29 PM Standard tools of enumerative combinatorics including partitions and compositions of integers, set partitions, generating functions, permutations with restricted positions, inclusion-exclusion, partially ordered sets. Permission of the instructor required to enroll.
MATH 5861-401 Mathematical Modeling in Biology Daniel B Cooney MW 1:45 PM-3:14 PM This course will cover various mathematical models and tools that are used to study modern biological problems. Mathematical models may be drawn from cell biology, physiology, population genetics, or ecology. Tools in dynamical systems or stochastic processes will be introduced as necessary. No prior knowledge of biology is needed to take this course, but some familiarity with differential equations and probability will be assumed. BIOL5860401
MATH 5940-401 Mathematical Methods of Physics Mark D Goulian TR 10:15 AM-11:44 AM A discussion of those concepts and techniques of classical analysis employed inphysical theories. Topics include complex analysis. Fourier series and transforms, ordinary and partial equations, Hilbert spaces, among others. PHYS5500401
MATH 6000-001 Topology and Geometric Analysis Wolfgang Ziller TR 1:45 PM-3:14 PM Differentiable functions, inverse and implicit function theorems. Theory of manifolds: differentiable manifolds, charts, tangent bundles, transversality, Sard's theorem, vector and tensor fields and differential forms: Frobenius' theorem, integration on manifolds, Stokes' theorem in n dimensions, de Rham cohomology. Introduction to Lie groups and Lie group actions.
MATH 6020-001 Algebra Julia Hartmann MF 10:15 AM-11:44 AM Group theory: permutation groups, symmetry groups, linear algebraic groups, Jordan-Holder and Sylow theorems, finite abelian groups, solvable and nilpotent groups, p-groups, group extensions. Ring theory: Prime and maximal ideals, localization, Hilbert basis theorem, integral extensions, Dedekind domains, primary decomposition, rings associated to affine varieties, semisimple rings, Wedderburn's theorem, elementary representation theory. Linear algebra: Diagonalization and canonical form of matrices, elementary representation theory, bilinear forms, quotient spaces, dual spaces, tensor products, exact sequences, exterior and symmetric algebras. Module theory: Tensor products, flat and projective modules, introduction to homological algebra, Nakayama's Lemma. Field theory: separable and normal extensions, cyclic extensions, fundamental theorem of Galois theory, solvability of equations.
MATH 6080-401 Analysis Robert M Strain TR 10:15 AM-11:44 AM Complex analysis: analyticity, Cauchy theory, meromorphic functions, isolated singularities, analytic continuation, Runge's theorem, d-bar equation, Mittlag-Leffler theorem, harmonic and sub-harmonic functions, Riemann mapping theorem, Fourier transform from the analytic perspective. Introduction to real analysis: Weierstrass approximation, Lebesgue measure in Euclidean spaces, Borel measures and convergence theorems, C0 and the Riesz-Markov theorem, Lp-spaces, Fubini Theorem. AMCS6081401
MATH 6180-001 Algebraic Topology, Part I Herman Gluck TR 1:45 PM-3:14 PM Homotopy groups, Hurewicz theorem, Whitehead theorem, spectral sequences. Classification of vector bundles and fiber bundles. Characteristic classes and obstruction theory.
MATH 6200-001 Algebraic Number Theory Ching-Li Chai MW 12:00 PM-1:29 PM Dedekind domains, local fields, basic ramification theory, product formula, Dirichlet unit theory, finiteness of class numbers, Hensel's Lemma, quadratic and cyclotomic fields, quadratic reciprocity, abelian extensions, zeta and L-functions, functional equations, introduction to local and global class field theory. Other topics may include: Diophantine equations, continued fractions, approximation of irrational numbers by rationals, Poisson summation, Hasse principle for binary quadratic forms, modular functions and forms, theta functions.
MATH 6240-001 Algebraic Geometry Angela Gibney TR 10:15 AM-11:44 AM Algebraic geometry over algebraically closed fields, using ideas from commutative algebra. Topics include: Affine and projective algebraic varieties, morphisms and rational maps, singularities and blowing up, rings of functions, algebraic curves, Riemann Roch theorem, elliptic curves, Jacobian varieties, sheaves, schemes, divisors, line bundles, cohomology of varieties, classification of surfaces.
MATH 6440-001 Partial Differential Equations TR 1:45 PM-3:14 PM Subject matter varies from year to year. Some topics are: the classical theory of the wave and Laplace equations, general hyperbolic and elliptic equations, theory of equations with constant coefficients, pseudo-differential operators, and non-linear problems. Sobolev spaces and the theory of distributions will bedeveloped as needed.
MATH 6480-401 Probability Theory Jiaoyang Huang MW 1:45 PM-3:14 PM Measure theoretic foundations, laws of large numbers, large deviations, distributional limit theorems, Poisson processes, random walks, stopping times. AMCS6481401, STAT9300401
MATH 6600-001 Differential Geometry Davi Maximo-Alexandrino-Nogueir TR 1:45 PM-3:14 PM Riemannian metrics and connections, geodesics, completeness, Hopf-Rinow theorem, sectional curvature, Ricci curvature, scalar curvature, Jacobi fields, second fundamental form and Gauss equations, manifolds of constant curvature, first and second variation formulas, Bonnet-Myers theorem, comparison theorems, Morse index theorem, Hadamard theorem, Preissmann theorem, and further topics such as sphere theorems, critical points of distance functions, the soul theorem, Gromov-Hausdorff convergence.
MATH 6770-401 Topics in Mathematical Logic Scott Weinstein TR 12:00 PM-1:29 PM This graduate course focuses on topics drawn from the central areas of mathematical logic: model theory, proof theory, set theory, and computability theory. LGIC4960401, PHIL4720401, PHIL6720401
MATH 6940-001 Mathematical Foundations of Theoretical Physics Ron Donagi TR 10:15 AM-11:44 AM Selected topics in mathematical physics, such as mathematical methods of classical mechanics, electrodynamics, relativity, quantum mechanics and quantum field theory.
MATH 7020-001 Topics in Algebra Danny Krashen TR 12:00 PM-1:29 PM Topics from the literature. The specific subjects will vary from year to year.
MATH 7240-001 Topics in Algebraic Geometry Svetlana Makarova MW 10:15 AM-11:44 AM Topics from the literature. The specific subjects will vary from year to year.
MATH 7300-001 Topics in Algebraic and Differential Topology Ningchuan Zhang TR 1:45 PM-3:14 PM Topics from the literature. The specific subjects will vary from year to year.
MATH 8100-001 Reading Seminar Reading of mathematical literature under the direction of a faculty member in a group of students. Hours and syllabus to be arranged with the supervising faculty member