Ryan Manion

University of Pennsylvania

Summer 2010: MATH 240

Class lectures

I'll post what topics we covered as well as the notes here.

Date	Lecture topics	Sections in Book
July 6th	Vector spaces, linear independence, span, matrices and linear maps	7.1-7.6, 8.1
July 7th	Matrix operations, systems of equations, row reduction, rank, row-echelon form	8.1-8.3
July 8th	More on rank and linear independence, determinants, inverse matrices	8.3-8.6
July 12th	Homogenous systems of equations, eigenvectors and eigenvalues, diagonalization	8.6,8.8,8.12
July 13th	We finished up the previous lecture, had Quizzo
July 14th	Bit more linear algebra, initial value problems (homogeneous and nonhomogeneous), linear equations with constant coefficients	3.1,3.3
July 15th	Method of undetermined coefficients, cauchy-euler equations	3.4,3.6
July 19th	Spring equations Requested comment	3.8
July 20th	Systems of linear differential equations, solving homogeneous systems, phase planes	10.1-10.2
July 21st	Reviewed for the test
July 22nd	MIDTERM 1
July 26th	Repeated roots and 3x3 systems of diffy q's, solving with series solutions	10.2, 5.1
July 27th	Series solutions around singular points, vector valued functions, partial and total derivatives, tangent lines and planes	5.2, 9.1,9.4-9.6
July 28th	Gradients, directional derivatives, divergence and curl	9.5-9.7
July 29th	Line integrals, work integrals, path independence	9.8-9.9
August 2nd	Double integrals, polar coordinates, Green's theorem	9.10-9.12
August 3rd	Surface integrals, Stokes' theorem	9.13-9.14
August 4th	Reviewed for the test
August 5th	MIDTERM 2
August 9th	Triple integrals, divergence theorem	9.15-9.16
August 10th	Final exam review
August 11th	Final exam review
August 12th	FINAL EXAM

Homework

I'll post the homework assignments here. Many of them come from the old final exams which are here.

Due date	Assignment	Book problems
July 13th	HW1	Zill & Cullen
July 20th	HW2	Zill & Cullen
July 27th	HW3	Zill & Cullen
August 3rd	HW4	Zill & Cullen Zill & Cullen2
August 10th	HW5	Zill & Cullen