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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 Daebeom Choi
Mona B Merling
MOOR 216 TR 12:00 PM-1:29 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 Julia Hartmann BENN 419 MF 10:15 AM-11:44 AM 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 Fnu Rakvi FAGN 116 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. MATH3140402, MATH5140402
AMCS 5141-403 Advanced Linear Algebra LRSM AUD T 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 5141-404 Advanced Linear Algebra DRLB A2 R 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. MATH3140404, MATH5140404
AMCS 5141-405 Advanced Linear Algebra Oualid Merzouga
Fnu Rakvi
DRLB 4C2 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. MATH3140405, MATH5140405
AMCS 5141-406 Advanced Linear Algebra Oualid Merzouga
Fnu Rakvi
DRLB 4C8 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. MATH3140406, MATH5140406
AMCS 5200-401 Ordinary Differential Equations Andrew Cooper
Deependra Singh
DRLB 3C8 TR 12:00 PM-1:29 PM After a rapid review of the basic techniques for solving equations, the course will discuss one or more of the following topics: stability of linear and nonlinear systems, boundary value problems and orthogonal functions, numerical techniques, Laplace transform methods. MATH4200401
AMCS 5461-401 Advanced Applied Probability Jiaqi Liu DRLB 3N1H MW 10:15 AM-11:44 AM The required background is (1) enough math background to understand proof techniques in real analysis (closed sets, uniform covergence, fourier series, etc.) and (2) some exposure to probability theory at an intuitive level (a course at the level of Ross's probability text or some exposure to probability in a statistics class). MATH5460401
AMCS 6035-001 Numerical and Applied Analysis II Joshua A Mcginnis DRLB 3C8 TR 1:45 PM-3:14 PM We will cover asymptotic methods, primarily for differential equations. In many problems of applied mathematics, there is a small parameter in the problem. Asymptotic analysis represents a collection of methods that takes advantage of the smallness of this parameter. After a brief discussion of non-dimensionalization, we will discuss regular perturbation methods, matched asymptotics, method of multiple scales, WKB approximation, and homogenization. Other topics will be discussed, time permitting. The prerequisite for this class is some familiarity with differential equations, but required background will be reviewed in class. https://coursesintouch.apps.upenn.edu/cpr/jsp/fast.do?webService=syll&t=202410&c=AMCS6035001
AMCS 6091-401 Analysis Ryan C Hynd
Tianyue Liu
MOOR 212 TR 10:15 AM-11:44 AM Real analysis: general measure theory, outer measures and Cartheodory construction, Hausdorff measures, Radon-Nikodym theorem, Fubini's theorem, Hilbert space and L2-theory of the Fourier transform. Functional analysis: normed linear spaces, convexity, the Hahn-Banach theorem, duality for Banach spaces, weak convergence, bounded linear operators, Baire category theorem, uniform boundedness principle, open mapping theorem, closed graph theorem, compact operators, Fredholm theory, interpolation theorems, Lp-theory for the Fourier transform. MATH6090401
AMCS 6491-401 Stochastic Processes Da Wu
Shengjing Xu
SHDH 1203 MW 1:45 PM-3:14 PM Continuation of MATH 6480/STAT 9300, the 2nd part of Probability Theory for PhD students in the math or statistics department. The main topics include Brownian motion, martingales, Ito's formula, and their applications to random walk and PDE. MATH6490401, STAT9310401
MATH 0240-101 Calculus III Lab DRLB A2 F 8:30 AM-9:59 AM Lab for Math 2400
MATH 0240-102 Calculus III Lab LRSM AUD F 10:15 AM-11:44 AM Lab for Math 2400
MATH 0240-103 Calculus III Lab DRLB A2 F 12:00 PM-1:29 PM Lab for Math 2400
MATH 0240-104 Calculus III Lab DRLB A2 F 1:45 PM-3:14 PM Lab for Math 2400
MATH 1070-001 Mathematics of change, Part I Robin Pemantle DRLB 3N1H TR 10:15 AM-11:44 AM 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. General Requirement in Formal Reasoning & Analysis
MATH 1070-002 Mathematics of change, Part I Patrick Shields DRLB 3N1H MW 7:00 PM-8:29 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. General Requirement in Formal Reasoning & Analysis
MATH 1070-201 Mathematics of change, Part I DRLB 3C6 MW 8:30 AM-9:59 AM 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. General Requirement in Formal Reasoning & Analysis
MATH 1070-202 Mathematics of change, Part I Emma Lennen
Robin Pemantle
DRLB 4C4 MW 10:15 AM-11:44 AM 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. General Requirement in Formal Reasoning & Analysis
MATH 1070-211 Mathematics of change, Part I DRLB 2C4 TR 8:30 AM-9:59 AM 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. General Requirement in Formal Reasoning & Analysis
MATH 1070-212 Mathematics of change, Part I DRLB 3C2 TR 10:15 AM-11:44 AM 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. General Requirement in Formal Reasoning & Analysis
MATH 1080-002 Mathematics of change, Part II Nakia Rimmer DRLB 4C2 TR 1:45 PM-3:14 PM Multivariate calculus; optimization; multivariate probability densities. Introduction to linear algebra; introduction to differential equations. Mathematical modeling and applications to the social, economic and information sciences. General Requirement in Formal Reasoning & Analysis
MATH 1080-003 Mathematics of change, Part II Henry Piers Towsner DRLB A5 TR 3:30 PM-4:59 PM Multivariate calculus; optimization; multivariate probability densities. Introduction to linear algebra; introduction to differential equations. Mathematical modeling and applications to the social, economic and information sciences. General Requirement in Formal Reasoning & Analysis https://coursesintouch.apps.upenn.edu/cpr/jsp/fast.do?webService=syll&t=202410&c=MATH1080003
MATH 1080-211 Mathematics of change, Part II DRLB 2C6 MW 8:30 AM-9:59 AM Multivariate calculus; optimization; multivariate probability densities. Introduction to linear algebra; introduction to differential equations. Mathematical modeling and applications to the social, economic and information sciences. General Requirement in Formal Reasoning & Analysis
MATH 1080-212 Mathematics of change, Part II Nakia Rimmer
Hunter Stufflebeam
DRLB 4C2 MW 10:15 AM-11:44 AM Multivariate calculus; optimization; multivariate probability densities. Introduction to linear algebra; introduction to differential equations. Mathematical modeling and applications to the social, economic and information sciences. General Requirement in Formal Reasoning & Analysis
MATH 1080-221 Mathematics of change, Part II DRLB 2C4 MW 8:30 AM-9:59 AM Multivariate calculus; optimization; multivariate probability densities. Introduction to linear algebra; introduction to differential equations. Mathematical modeling and applications to the social, economic and information sciences. General Requirement in Formal Reasoning & Analysis
MATH 1080-224 Mathematics of change, Part II Frenly Espino
Henry Piers Towsner
DRLB 2C4 MW 10:15 AM-11:44 AM Multivariate calculus; optimization; multivariate probability densities. Introduction to linear algebra; introduction to differential equations. Mathematical modeling and applications to the social, economic and information sciences. General Requirement in Formal Reasoning & Analysis
MATH 1300-001 Introduction to Calculus Irfan Alam ANNS 111 MW 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 1300-201 Introduction to Calculus DRLB 2C8 F 8:30 AM-9:59 AM 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 DRLB 4C4 F 10:15 AM-11:44 AM 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 1300-601 Introduction to Calculus Matthew P Wiener DRLB 3C2 MW 7:00 PM-8:29 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 1400-001 Calculus, Part I Brett S Frankel DRLB A8 MW 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 Beca Lufi DRLB A1 MW 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 1400-003 Calculus, Part I Jingwen Chen DRLB A4 MW 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 1400-201 Calculus, Part I DRLB 2C6 F 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 1400-202 Calculus, Part I DRLB 4C2 F 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 DRLB 3C6 F 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 1400-204 Calculus, Part I CANCELED 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 CANCELED 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 DRLB 2C6 F 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 1400-207 Calculus, Part I DRLB 3C4 F 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 1400-208 Calculus, Part I CANCELED 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 CANCELED 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 CANCELED 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 DRLB 3C2 F 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 CANCELED 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 CANCELED 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 DRLB 3C2 F 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 1400-601 Calculus, Part I Nakia Rimmer LRSM 112B MW 7:00 PM-8:29 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 1410-001 Calculus, Part II Andrew Cooper DRLB A8 TR 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 1410-002 Calculus, Part II Sarah L Strikwerda DRLB A8 TR 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 1410-003 Calculus, Part II Patrick Shields LLAB 10 TR 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 DRLB 3C8 F 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 1410-202 Calculus, Part II DRLB 3W2 F 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 1410-203 Calculus, Part II DRLB 3C8 F 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 DRLB 3C6 F 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 1410-205 Calculus, Part II DRLB 3C6 F 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 DRLB 3C8 F 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 1410-207 Calculus, Part II DRLB 3C6 F 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 1410-208 Calculus, Part II DRLB 3C4 F 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 1410-209 Calculus, Part II DRLB 3C4 F 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 1410-210 Calculus, Part II DRLB 3C4 F 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 1410-211 Calculus, Part II DRLB 3C4 F 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 1410-212 Calculus, Part II LRSM 112B F 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 1410-213 Calculus, Part II CANCELED 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 1700-001 Ideas in Mathematics CANCELED 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 Yumeng Ou DRLB A1 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 1700-201 Ideas in Mathematics CANCELED 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 CANCELED 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 CANCELED 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 CANCELED 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 1700-211 Ideas in Mathematics DRLB 3C4 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 1700-212 Ideas in Mathematics DRLB 2C6 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 1700-213 Ideas in Mathematics LRSM 112B F 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 1700-601 Ideas in Mathematics Marco Zaninelli DRLB 2C8 TR 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 2030-101 Proving things: Algebra Avik Chakravarty
Angela Gibney
DRLB 4C6 T 7:00 PM-8:29 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 arithmetic, algebra, linear algebra, groups, rings and fields. 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. General Requirement in Formal Reasoning & Analysis
MATH 2030-102 Proving things: Algebra DRLB 4E19 R 7:00 PM-8:29 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 arithmetic, algebra, linear algebra, groups, rings and fields. 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. General Requirement in Formal Reasoning & Analysis
MATH 2030-301 Proving things: Algebra Angela Gibney DRLB 2C6 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 arithmetic, algebra, linear algebra, groups, rings and fields. 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. General Requirement in Formal Reasoning & Analysis
MATH 2100-001 Mathematics in the Age of Information CANCELED This course counts as a regular elective for both the Mathematics Major and Minor. This is a course about mathematical reasoning and the media. Embedded in many stories one finds in the media are mathematical questions as well as implicit mathematical models for how the world behaves. We will discuss ways to recognize such questions and models, and how to think about them from a mathematical perspective. A key part of the course will be about what constitutes a mathematical proof, and what passes for proof in various media contexts. The course will cover a variety of topics in logic, probability and statistics as well as how these subjects can be used and abused. Nat Sci & Math Sector (new curriculum only)
MATH 2400-001 Calculus, Part III Davi Maximo-Alexandrino-Nogueir DRLB A8 MW 8:30 AM-9:59 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 Mira A Peterka DRLB A6 MW 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 Nakia Rimmer DRLB A1 TR 12:00 PM-1:29 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 2400-201 Calculus, Part III DRLB 3W2 MW 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 DRLB 3C4 MW 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 CANCELED 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 CANCELED 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 DRLB 4C4 MW 12:00 PM-1:29 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 2400-212 Calculus, Part III DRLB 4C2 MW 12:00 PM-1:29 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 2400-213 Calculus, Part III DRLB 2C8 MW 12:00 PM-1:29 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 2400-221 Calculus, Part III DRLB 2C6 TR 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 2400-222 Calculus, Part III DRLB 3W2 TR 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 2400-223 Calculus, Part III DRLB 4C6 TR 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 2400-224 Calculus, Part III JAFF B17 TR 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 2400-225 Calculus, Part III Ellis Buckminster
Nakia Rimmer
DRLB 2C8 TR 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 2400-226 Calculus, Part III DRLB 4C4 TR 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 Michael A. Carchidi DRLB A5 MW 12:00 PM-1:29 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 Michael A. Carchidi DRLB A2 TR 10:15 AM-11:44 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 2410-201 Calculus, Part IV DRLB 3N6 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 DRLB 4N30 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 DRLB 3N6 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 DRLB 4E19 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 2410-211 Calculus, Part IV DRLB 3N6 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 2410-212 Calculus, Part IV DRLB 4N30 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 2410-213 Calculus, Part IV DRLB 3N6 F 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 2410-214 Calculus, Part IV DRLB 3N6 F 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 2600-001 Honors Calculus, Part II Herman Gluck DRLB A2 TR 12:00 PM-1:29 PM This is an honors version of Math 2400 which explores the same topics but with greater mathematical rigor.
MATH 2600-201 Honors Calculus, Part II Eben M Blaisdell
Herman Gluck
TOWN 319 M 7:00 PM-8:59 PM This is an honors version of Math 2400 which explores the same topics but with greater mathematical rigor.
MATH 2600-202 Honors Calculus, Part II TOWN 319 W 7:00 PM-8:59 PM This is an honors version of Math 2400 which explores the same topics but with greater mathematical rigor.
MATH 3120-001 Linear Algebra Irfan Alam
Spenser Talkington
ANNS 111 MW 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 Yumeng Ou STNH AUD TR 12:00 PM-1:29 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 3130-401 Computational Linear Algebra John D Green DRLB A4 TR 10:15 AM-11:44 AM Many important problems in a wide range of disciplines within computer science and throughout science are solved using techniques from linear algebra. This course will introduce students to some of the most widely used algorithms and illustrate how they are actually used. Some specific topics: the solution of systems of linear equations by Gaussian elimination, dimension of a linear space, inner product, cross product, change of basis, affine and rigid motions, eigenvalues and eigenvectors, diagonalization of both symmetric and non-symmetric matrices, quadratic polynomials, and least squares optimazation. Applications will include the use of matrix computations to computer graphics, use of the discrete Fourier transform and related techniques in digital signal processing, the analysis of systems of linear differential equations, and singular value deompositions with application to a principal component analysis. The ideas and tools provided by this course will be useful to students who intend to tackle higher level courses in digital signal processing, computer vision, robotics, and computer graphics. MATH5130401 https://coursesintouch.apps.upenn.edu/cpr/jsp/fast.do?webService=syll&t=202410&c=MATH3130401
MATH 3140-401 Advanced Linear Algebra Julia Hartmann BENN 419 MF 10:15 AM-11:44 AM 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 Fnu Rakvi FAGN 116 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. AMCS5141402, MATH5140402
MATH 3140-403 Advanced Linear Algebra LRSM AUD T 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 3140-404 Advanced Linear Algebra DRLB A2 R 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. AMCS5141404, MATH5140404
MATH 3140-405 Advanced Linear Algebra Oualid Merzouga
Fnu Rakvi
DRLB 4C2 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. AMCS5141405, MATH5140405
MATH 3140-406 Advanced Linear Algebra Oualid Merzouga
Fnu Rakvi
DRLB 4C8 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. AMCS5141406, MATH5140406
MATH 3410-401 Discrete Mathematics II Oualid Merzouga
Andre Scedrov
DRLB 3C4 TR 10:15 AM-11:44 AM Topics will be drawn from some subjects useful in the analysis of information and computation: logic, set theory, theory of computation, number theory, probability, and basic cryptography. LGIC2200401 https://coursesintouch.apps.upenn.edu/cpr/jsp/fast.do?webService=syll&t=202410&c=MATH3410401
MATH 3500-001 Number Theory Ted C K Chinburg DRLB 2C4 TR 12:00 PM-1:29 PM Congruences, Diophantine equations, continued fractions, nonlinear congruences,and quadratic residues.
MATH 3600-001 Advanced Calculus Andrew Cooper DRLB 2C4 TR 3:30 PM-4:59 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 3600-101 Advanced Calculus DRLB 2C2 M 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 DRLB 2C2 W 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 Mira A Peterka TOWN 311 MW 12:00 PM-1:29 PM Continuation of MATH 3600.
MATH 3610-002 Advanced Calculus Robert M. Strain TOWN 313 TR 1:45 PM-3:14 PM Continuation of MATH 3600.
MATH 3610-101 Advanced Calculus Mira A Peterka
Deependra Singh
DRLB 4E19 T 7:00 PM-8:59 PM Continuation of MATH 3600.
MATH 3610-102 Advanced Calculus Mira A Peterka
Deependra Singh
DRLB 4N30 R 7:00 PM-8:59 PM Continuation of MATH 3600.
MATH 3610-103 Advanced Calculus Nikita Borisov
Robert M. Strain
DRLB 4N30 M 7:00 PM-8:59 PM Continuation of MATH 3600.
MATH 3610-104 Advanced Calculus Nikita Borisov
Robert M. Strain
DRLB 4N30 W 7:00 PM-8:59 PM Continuation of MATH 3600.
MATH 3700-001 Algebra Fnu Rakvi DRLB 4C6 TR 3:30 PM-4:59 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 3700-101 Algebra Fnu Rakvi
Jacob Van Hook
DRLB 3N6 M 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 Fnu Rakvi
Jacob Van Hook
DRLB 4E19 W 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 Jianqi Liu DRLB 3W2 MW 12:00 PM-1:29 PM Continuation of MATH 3700.
MATH 3710-101 Algebra Jianqi Liu
Xingyu Meng
DRLB 3N6 T 7:00 PM-8:59 PM Continuation of MATH 3700.
MATH 3710-102 Algebra Jianqi Liu
Xingyu Meng
DRLB 3N6 R 7:00 PM-8:59 PM Continuation of MATH 3700.
MATH 4100-401 Complex Analysis Daebeom Choi
Mona B Merling
MOOR 216 TR 12:00 PM-1:29 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 4200-401 Ordinary Differential Equations Andrew Cooper
Deependra Singh
DRLB 3C8 TR 12:00 PM-1:29 PM After a rapid review of the basic techniques for solving equations, the course will discuss one or more of the following topics: stability of linear and nonlinear systems, boundary value problems and orthogonal functions, numerical techniques, Laplace transform methods. AMCS5200401
MATH 4250-001 Partial Differential Equations Ching-Li Chai
Yaojie Hu
DRLB 3C8 MW 12:00 PM-1:29 PM Method of separation of variables will be applied to solve the wave, heat, and Laplace equations. In addition, one or more of the following topics will be covered: qualitative properties of solutions of various equations (characteristics, maximum principles, uniqueness theorems), Laplace and Fourier transform methods, and approximation techniques.
MATH 4650-401 Differential Geometry Dennis M Deturck
Jacob Van Hook
DRLB 3C6 TR 12:00 PM-1:29 PM Differential geometry of curves in the plane and in 3-space;n gauge theories Surfaces in 3-space; The geometry of the Gauss map;ons. The language of Intrinsic geometry of surfaces; Geodesics; Moving frames; of vector bundles, The Gauss-Bonnet Theorem; Assorted additional topics. MATH5010401
MATH 5010-401 Differential Geometry Dennis M Deturck
Jacob Van Hook
DRLB 3C6 TR 12:00 PM-1:29 PM The course moves from a study of extrinsic geometry (curves and surfaces in n-space) to the intrinsic geometry of manifolds. After a review of vector calculus and a section on tensor algebra, we study manifolds and their intrinsic geometry, including metrics, connections, geodesics, and the Riemann curvature tensor. Topics include Eulerian curvature and Euler's theorems, the Gauss map and first/second fundamental forms, the Theorema Egregium, minimal surfaces in n-space; other topics as time permits. MATH4650401
MATH 5030-001 Abstract Algebra Jianqi Liu DRLB 3C8 MW 10:15 AM-11:44 AM Continuation of Math 5020.
MATH 5030-101 Abstract Algebra Chayansudha Biswas
Jianqi Liu
DRLB 2C2 T 7:00 PM-8:59 PM Continuation of Math 5020.
MATH 5030-102 Abstract Algebra Chayansudha Biswas
Jianqi Liu
DRLB 4C8 R 7:00 PM-8:59 PM Continuation of Math 5020.
MATH 5090-001 Advanced Analysis Philip Gressman LRSM 112B TR 10:15 AM-11:44 AM Continuation of Math 5080. The Arzela-Ascoli theorem. Introduction to the topology of metric spaces with an emphasis on higher dimensional Euclidean spaces. The contraction mapping principle. Inverse and implicit function theorems. Rigorous treatment of higher dimensional differential calculus. Introduction to Fourier analysis and asymptotic methods.
MATH 5090-101 Advanced Analysis Jae Ho Choi
Philip Gressman
DRLB 2N36 M 7:00 PM-8:59 PM Continuation of Math 5080. The Arzela-Ascoli theorem. Introduction to the topology of metric spaces with an emphasis on higher dimensional Euclidean spaces. The contraction mapping principle. Inverse and implicit function theorems. Rigorous treatment of higher dimensional differential calculus. Introduction to Fourier analysis and asymptotic methods.
MATH 5090-102 Advanced Analysis Jae Ho Choi
Philip Gressman
DRLB 3N6 W 7:00 PM-8:59 PM Continuation of Math 5080. The Arzela-Ascoli theorem. Introduction to the topology of metric spaces with an emphasis on higher dimensional Euclidean spaces. The contraction mapping principle. Inverse and implicit function theorems. Rigorous treatment of higher dimensional differential calculus. Introduction to Fourier analysis and asymptotic methods.
MATH 5130-401 Computational Linear Algebra John D Green DRLB A4 TR 10:15 AM-11:44 AM A number of important and interesting problems in a wide range of disciplines within computer science are solved by recourse to techniques from linear algebra. The goal of this course will be to introduce students to some of the most important and widely used algorithms in matrix computation and to illustrate how they are actually used in various settings. Motivating applications will include: the solution of systems of linear equations, applications matrix computations to modeling geometric transformations in graphics, applications of the Discrete Fourier Transform and related techniques in digital signal processing, the solution of linear least squares optimization problems and the analysis of systems of linear differential equations. The course will cover the theoretical underpinnings of these problems and the numerical algorithms that are used to perform important matrixcomputations such as Gaussian Elimination, LU Decomposition and Singular Value Decomposition. MATH3130401 https://coursesintouch.apps.upenn.edu/cpr/jsp/fast.do?webService=syll&t=202410&c=MATH5130401
MATH 5140-401 Advanced Linear Algebra Julia Hartmann BENN 419 MF 10:15 AM-11:44 AM 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 Fnu Rakvi FAGN 116 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. AMCS5141402, MATH3140402
MATH 5140-403 Advanced Linear Algebra LRSM AUD T 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 5140-404 Advanced Linear Algebra DRLB A2 R 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. AMCS5141404, MATH3140404
MATH 5140-405 Advanced Linear Algebra Oualid Merzouga
Fnu Rakvi
DRLB 4C2 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. AMCS5141405, MATH3140405
MATH 5140-406 Advanced Linear Algebra Oualid Merzouga
Fnu Rakvi
DRLB 4C8 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. AMCS5141406, MATH3140406
MATH 5460-401 Advanced Applied Probability Jiaqi Liu DRLB 3N1H MW 10:15 AM-11:44 AM The required background is (1) enough math background to understand proof techniques in real analysis (closed sets, uniform covergence, fourier series, etc.) and (2) some exposure to probability theory at an intuitive level (a course at the level of Ross's probability text or some exposure to probability in a statistics class). AMCS5461401
MATH 5710-401 Logic and Computability 2 Andre Scedrov DRLB 2C4 TR 1:45 PM-3:14 PM A continuation of PHIL 6721. LGIC3200401, PHIL4722401, PHIL6722401 https://coursesintouch.apps.upenn.edu/cpr/jsp/fast.do?webService=syll&t=202410&c=MATH5710401
MATH 5810-001 Topics in Combinatorial Theory James B. Haglund DRLB 4C8 TR 10:15 AM-11:44 AM Variable topics connected to current research in combinatorial theory. Recent topics include algebraic combinatorics and symmetric functions, analytic combinatorics and discrete probability.
MATH 6010-001 Topology and Geometric Analysis Mona B Merling
Kartik Tandon
DRLB 3C4 TR 1:45 PM-3:14 PM Covering spaces and fundamental groups, van Kampen's theorem and classification of surfaces. Basics of homology and cohomology, singular and cellular; isomorphism with de Rham cohomology. Brouwer fixed point theorem, CW complexes, cup and cap products, Poincare duality, Kunneth and universal coefficient theorems, Alexander duality, Lefschetz fixed point theorem.
MATH 6030-001 Algebra Zhenyue Guan
Florian Pop
DRLB 2C2 MW 10:15 AM-11:44 AM Continuation of Math 6020.
MATH 6090-401 Analysis Ryan C Hynd
Tianyue Liu
MOOR 212 TR 10:15 AM-11:44 AM Real analysis: general measure theory, outer measures and Cartheodory construction, Hausdorff measures, Radon-Nikodym theorem, Fubini's theorem, Hilbert space and L2-theory of the Fourier transform. Functional analysis: normed linear spaces, convexity, the Hahn-Banach theorem, duality for Banach spaces, weak convergence, bounded linear operators, Baire category theorem, uniform boundedness principle, open mapping theorem, closed graph theorem, compact operators, Fredholm theory, interpolation theorems, Lp-theory for the Fourier transform. AMCS6091401
MATH 6190-001 Algebraic Topology, Part I Jonathan Block DRLB 4N49 TR 12:00 PM-1:29 PM Rational homotopy theory, cobordism, K-theory, Morse theory and the h-corbodism theorem. Surgery theory.
MATH 6210-001 Algebraic Number Theory Ted C K Chinburg LRSM 112B TR 1:45 PM-3:14 PM Continuation of Math 6200.
MATH 6230-001 Complex Algebraic Geometry Tony G Pantev DRLB 4C4 MW 8:30 AM-9:59 AM Continuation of Math 6220.
MATH 6490-401 Stochastic Processes Da Wu
Shengjing Xu
SHDH 1203 MW 1:45 PM-3:14 PM Continuation of MATH 6480/STAT 9300, the 2nd part of Probability Theory for PhD students in the math or statistics department. The main topics include Brownian motion, martingales, Ito's formula, and their applications to random walk and PDE. AMCS6491401, STAT9310401
MATH 6770-401 Topics in Mathematical Logic: Game Theory, Artificial Intelligence, and Existential Risk Aydin Mohseni DRLB 2C4 MW 1:45 PM-3:14 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 7210-001 Advanced Number Theory Ching-Li Chai DRLB 4C8 MW 1:45 PM-3:14 PM Continuation of Math 7200.
MATH 7250-001 Topics in Algebraic Geometry Danny Krashen DRLB 4N49 MW 12:00 PM-1:29 PM Topics from the literature. The specific subject will vary from year to year.
MATH 8100-002 Reading Seminar Wolfgang Ziller 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
MATH 8100-006 Reading Seminar Herman Gluck 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
MATH 8100-008 Reading Seminar David Harbater 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
MATH 8100-009 Reading Seminar Andre Scedrov 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
MATH 8100-010 Reading Seminar: TQFT/Algebraic Geometry Research Seminar Ron Donagi 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
MATH 8100-011 Reading Seminar Mona B Merling 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
MATH 8100-012 Reading Seminar Julia Hartmann 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
MATH 8100-015 Reading Seminar Angela Gibney 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
MATH 8100-016 Reading Seminar Ted C K Chinburg 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
MATH 8100-018 Reading Seminar Philip Gressman 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
MATH 8100-021 Reading Seminar Florian Pop 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
MATH 8100-024 Reading Seminar Tony G Pantev 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
MATH 8100-025 Reading Seminar James B. Haglund 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
MATH 8100-027 Reading Seminar Danny Krashen 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
MATH 8100-030 Reading Seminar Robin Pemantle 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
MATH 8100-037 Reading Seminar Robert W. Ghrist 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
MATH 8100-039 Reading Seminar Henry Piers Towsner 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
MATH 8100-051 Reading Seminar Robert M. Strain 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
MATH 8100-063 Reading Seminar Davi Maximo-Alexandrino-Nogueir 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