Fall 2021
Instructor: John Gemmer
Office: Manchester #388
E-mail: gemmerj@wfu.edu
Lecture: MWF: 12:30-1:45, Carswell 101
Textbooks: Peterson, Gary and Sochacki, James. Linear Algebra and Differential Equations Pearson, 2002.
Teaching Assistant: Grace Hofmann
E-mail: hofmge17@wfu.edu
Study Sessions:
Thursday 7-9, Kirby 103.
Course Handouts:
1. Syllabus: (.pdf)
2. Homework Policy: (.pdf)
Lecture Notes:
1. Lecture #1: (Solving Systems of Equations) (.pdf)
2. Lecture #2: (Matrix Operations) (.pdf)
3. Lecture #3: (Inverse of a Matrix) (.pdf)
4. Lecture #4: (Determinant) (.pdf)
5. Lecture #5: (Properties of a Determinant) (.pdf)
6. Lecture #6: (Vector Spaces) (.pdf)
7. Lecture #7: (Subspaces and Spanning Sets) (.pdf)
8. Lecture #8: (Linear Independence and Bases) (.pdf)
9. Lecture #9: (Dimension, nullspace, row space, column space) (.pdf)
10. Lecture #10: (Wronskians) (.pdf)
11. Lecture #11: (Introduction to ODEs) (.pdf)
12. Lecture #12: (Seperable ODEs) (.pdf)
13. Lecture #13: (Linear First Order ODEs) (.pdf)
14. Lecture #14: (Theory of Linear ODEs) (.pdf)
15. Lecture #15: (Homogenous Constant Coefficient Systems) (.pdf)
16. Lecture #16: (Method of Undetermined Coefficients) (.pdf)
17. Lecture #17: (Linear Transformations) (.pdf)
18. Lecture #18: (Algebra of Linear Transformations) (.pdf)
19. Lecture #19: (Matrices for Linear Transformations) (.pdf)
20. Lecture #20: (Eigenvalues and Eigenvectors) (.pdf)
21. Lecture #21: (Diagonlization and Jordan Canonical Form) (.pdf)
22. Lecture #22: (Homogeneous Systems) (.pdf)
23. Lecture #23: (Power Series Solutions) (.pdf)
Quiz Solutions:
1. Quiz #1 (Solution.pdf)
2. Quiz #2 (Solution.pdf)
3. Quiz #3 (Solution.pdf)
4. Quiz #4 (Solution.pdf)
5. Quiz #5 (Solution.pdf)
6. Quiz #6 (Solution.pdf)
7. Quiz #7 (Solution.pdf)
8. Quiz #8 (Solution.pdf)
Exam Solutions:
1. Exam #1 (Solution.pdf)
2. Exam #2 (Solution.pdf)
3. Exam #3 (Solution.pdf)
Homework Assignments:
1. (Due 01/14/22): pg. 15-17: #2-8 (even), #12, #14, #18, #20, #24, #26. (solutions.pdf)
2. (Due 01/21/22): pg. 26-27: #2-22 (even), #28, #31.
3. (Due 01/28/22): pg. 36: #2-10 (even), #15, #18, #20, #21. pg. 50: #2-12 (even).
4. (Due 02/18/22): pg. 73: #2-4 (even). pg. 81-82: #1-5 (all), #10-20 (even). (solutions.pdf)
5. (Due 02/25/22): pg. 93-94: #2-26 (even). pg. 104: #2-3, 13-15. (solutions.pdf)
6. (Due 03/04/22): pg. 104-105: #6-12 (even), #16-19 (all). pg. 110: #2-12 (even). (solutions.pdf)
7. (Due 03/25/22): Non-textbook Problems: (Problems.pdf). Textbook Problems: pg. 124: #4, 8, 10, 12, 14. (solutions.pdf)
8. (Due 04/01/22): pg. 135: #2-8 (even), #14-18 (even), pg. 188: #2, #4, #10, #14, #18, pg. 201: #2-6 (even), #7, #12, #16, #18, #20. (solutions.pdf)
9. (Due 04/08/22): pg. 211: #2, 4, 6, 10, 12, 14, 18, 20, pg. 243: #2-12 (even), #16-28 (even).
10. (Due 04/22/22): pg. 267: #1-4 (all), pg. 277: #1-6 (all). (solutions.pdf)
11. (Due 04/29/22): pg. 277: #8-18 (even), pg. 286: #8-18 (even), #20-24 (even), #31, 33, 34, 36, 37. (solutions.pdf)