Text: Edwards & Penney, Differential Equations and Linear Algebra, 3rd Edition, Pearson, 2010, ISBN: 97801360542542 Download the Textbook
How to schedule a tutoring appointment with OSS?
How to study?
Use practice exams as a study guide. Start working on the practice exam earlier. Make sure you understand and remember the steps of every problem. If possible, do the practice exam multiple times.
In class: Engage and take notes. Answer questions. Ask questions.
After class: Review the notes. Watch recordings if needed. When you watch the recording, you can control the speed. Stop every step to think through the math. Make sure you understand every in-class example. If you have questions on some steps of the problem, ask Suky. Visit office hours or if you are not available during my office hours - email me to schedule an appointment. Your exam questions are similar to your in-class examples.
After reviewing the notes and formula, do your homework with a pencil. After you finish, use a red pen to make corrections according to the solution. Please please please be honest with yourself. Do not copy the solution with a pencil. I saw many “perfect homework” (also “perfect practice exam”), but low scores on actual exams. We need to know our mistakes and weaknesses so we can improve!!! Mistakes are our teachers!!! Come to ask me if you don’t understand some solution.
Schedule weekly appointments with a tutor (free tutoring service at the lower level of Snyder Academic Center)
Form a study group.
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
AI (Chat GPT) answers:
Homework assignments:
Go to Canvas and click the corresponding homework links.
You have unlimited attempts for the homework. So you can re-do some homework questions to get a perfect score. You can attempt each problem three times and then the system will generate a new but similar question as many times as necessary.
I've included a sample homework solution below. I strongly recommend that you review class notes and then work on your homework. Please write down all the details of your solution in a notebook. If you don't get the right answer, read the solution and follow the steps to work on that question. Save your work in the notebook so you can study later to prepare for exams. Cheers!
When you have questions, come to ask me! Cheers! ^o^
Homework 1 (section 3.1-3.3) solution
Homework 2 (section 3.4 - 3.5) solution
Homework 3 (section 3.6 - 4.2) solution
Homework 4 (section 1.1 - 1.3) solution
Homework 5 (section 1.4 - 1.6) solution
Homework 6 (section 2.1 - 2.2) solution
Homework 7 (section 5.1-5.3) solution
Homework 8 (section 5.4 - 5.5) solution
Homework 9 (section 6.1) solution
Homework 10 (section 7.1 - 7.3) solution
Practice exams and solutions: exam scores
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! :-)
1. Practice Exam 1 Solution AI answers
2. Practice Exam 2 Solution AI answers Exam 2 formula sheet
3. Practice Exam 3 Solution AI answers
4. Practice Final exam Solution AI answers
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!!! :-)