Text: Edwards & Penney, Differential Equations and Linear Algebra, 3rd Edition, Pearson, 2010, ISBN: 97801360542542 Download the Textbook
Concept Maps:
chapter 3 - 4 matrix and vector space
chapter 6 - 7 Eigenvalue and system of ODE
In class worksheets /Handouts:
Lecture Videos YouTube Playlist Link to all blank notes as Word document files YouTube videos about Calculus
chapter 3.1 - 3.4 Notes with answers
chapter 3.5 - 3.6 Notes with answers
chapter 1.1 - 1.4 Notes with answers
chapter 1.5 - 1.6 Notes with answers
chapter 5.1 - 5.3 Notes with answers
chapter 5.4 - 5.5 Notes with answers
Practice exams and solutions:
Please note that the actual exam may be more difficult than the practice exam or homework. So use the practice exam as a study guide, try to find more problems (or make up harder problems) to practice! Cheers! :-)
2. Practice Exam 2 Solution Exam 2 formula sheet
4. Practice Final exam Solution
Cal 2 exam formula sheet blank with answers
2020 Spring Class Recordings about the extra exercises:
Chapter 1-2 3/20 office hours recording Notes
3/27 office hours recording Notes
Chapter 5 4/3 office hours recording Notes
4/10 office hours recording Notes
4/17 office hours recording Notes
Chapter 6-7 4/24 office hours recording Notes
5/1 office hours recording Notes
Application of Linear Algebra
Examples are taken from Elementary Linear Algebra by Ron Larson. These are extra readings. We won't test them on exams. Cheers!
Linear algebra applied to real-life problems
1.3 application of System of linear equations Solution
2.3 app inverse matrix Solution
2.5 app Markov chains Solution
2.6 app matrix operations Solution
4.8 app conic rotation Solution
6.5 app linear transformation Solution
7.4 app Eigenvalues and Eigenvectors Solution
7.4 Second-order systems and Mechanical applications Solution
Acknowledgement: The examples in the worksheets are taken from your textbook. The formula sheets are taken from Paul Dawkins' online math notes. If you find some useful online resources which may be beneficial to the whole class, please let me know. Thank you!!! :-)