## Topics, Exams and Homework Assignments

Week Dates Topics Sections Covered Homework Due
1 Aug 21—Aug 25 Complex numbers and their polar form. Exponentials, trig functions, logarithm. 13.1, 13.2, 13.5
Wiley+ 1
Aug 31
2 Aug 28—Sep 1 Exponentials, trig functions, logarithm. Matrices, vectors. 13.6, 13.7 Sep 6
3 Sep 4 Labor Day - no class.
3 Sep 6—Sep 8 Exponentials, trig functions, logarithm. Matrices, vectors. 13.7, 7.1
Wiley+ 2
Sep 8
4 Sep 11 Review for Midterm 1.
4 Sep 13 Midterm 1.
4 Sep 15 Matrices, vectors. 7.1
Wiley+ 3
Sep 22
5 Sep 18—Sep 22 Matrix multiplication. Gaussian elimination. 7.2, 7.3
Wiley+ 4
Oct 6
6 Sep 25—Sep 30 Linear independence and solution spaces. 7.4, 7.5
7 Oct 2—Oct 6 Determinant and inverse of a matrix. 7.7, 7.8
Wiley+ 5
Oct 11
8 Oct 9—Oct 13 Eigenvalues. 8.1
Wiley+ 6
Oct 27
9 Oct 16 Review for Midterm 2.
9 Oct 18 Midterm 2.
9 Oct 20 Linear ODE. Solution space for homogenous equation. Linear independence of functions. Fundamental system of solutions. 3.1, 3.2
10 Oct 23—Oct 27 Linear ODE. Wronskian test. Construction of solutions for homogenous systems. Characteristic equation. Solution when all roots are simple. 3.2
11 Oct 31—Nov 3 Solution when there are multiple roots. Solution when there are complex roots. Non-homogenous equations. 3.3
12 Nov 6 Non-homogenous equations. Variation of parameters. 3.3
Wiley+ 7
Nov 22
12 Nov 8 Veteran's day - no class.
12 Nov 10 Systems of linear ODE. 4.2, 4.3
13 Nov 13—Nov 17 Fourier series and wave equation. Heat equation. Fourier transform. Heat equation on the line. 12.3, 11.1, 11.2, 11.5
14 Nov 20—Nov 24 Fourier series and wave equation. Heat equation. Fourier transform. Heat equation on the line. 12.6, 11.9, 12.7
15 Nov 27 Review for Midterm 3.
15 Nov 30 Midterm 3.
15 Dec 1 Optional topics. Review before the Final Exam.
16 Dec 4—Dec 6 Optional topics. Review before Final Exam.
Finals Week Dec 12 (Tuesday) Final Exam, 10:30 am - 12:30 pm (regular room).