Midterm 1 

• Scheduled on 2/24 Tuesday. 

• The exam will be based on the materials corresponding to HW 1-- HW 5, which are on Ch 1 and Ch 2.

My Old Exams 

•  Exam 1 Fall 2024  (its solution to be posted later; for now, work out the problems on your own) and its Solution

• Exam 1 Fall 2025 (its solution to be posted later; for now, work out the problems on your own) and its Solution

  • Do NOT assume the upcoming exam this semester will have (almost) the identical questions. 

  • You must practice more problems if aiming an A or a B.

2/14 Update

• Fall 24 & Fall25 topics were covered in a slightly different order and more proofs compared to the current semester.  The following adjustments are needed accordingly.

  1. The upcoming midterm 1 in Spring 26 will ask fewer proof questions (but you will surely see at least one);  some of the proof questions in my old exam may be asked as True/False or short answers.

  2. The following questions were not on the two old exams above. Be sure to study 

     • • HW 1.3 Matrix Multiplication: Columns and Rows: "1.3 Class exercise: Rows and Columns of AB" on the last page

       • HW 1.3 Matrix Equation, Linear System, and Linear Combination (Def): "1.3 Class exercise: Ax in  Linear Combination of Column vectors"  on the last page

       • HW Exercises 1.6: #14(see Example 3 on pp.8-9 in 1.6 Non-homogeneous Ax=b, Invertible matrix TFAE (e)(f). 

         • • Do (a)--(d) as in the lecture file), that is 

             • • (a) Rewrite the given linear system in a matrix equation 

               • (b) Find the conditions on the b_i's for the system to be consistent, as asked in the exercise 

               • (c) Integrate the conditions on the b_i's found  in (b) to rewrite the solution b in column vector in independent variable(s); be sure to give the range of the independent variable(s)   

               • (d) What can you say about the invertibility of A?

2/16 Update

• • No homework due on the exam date

2/20 Update

• • Links to the solutions of my old exams have been posted above, next to each exam.

Midterm 2

• Scheduled on 4/14 Tuesday

• The exam will be based on the materials corresponding to HW 6-- HW 10, which are on Chapter 4. Sections 4.1--4.7, only the materials that were on HW 6--HW10.

4/6 Update

My Old Exams

• Exam 2 Fall2024    (its solution to be posted later; for now, work out the problems on your own) and its Solution

  • • The course pace was a lot faster in Fall24. For the upcoming midterm, do: #3 (Ignore the hints for both (a) and (b).; we discussed less details this semester), #4, #5(a)(b)(c), #6

• Exam 2 Fall2025   (its solution to be posted later; for now, work out the problems on your own) and its Solution

  • • Fall25 exam doesn't have a problem on coordinate vectors with respect to an ordered basis that will be on the upcoming midterm this semester. 

  • Do NOT assume the upcoming exam this semester will have (almost) the identical questions as my old exams.  You must have a comprehensive understanding of the topics if aiming an A or a B.

4/11 Update

• • Make sure you do a few additional homework problems assigned on Chapter 4 if you didn't do earlier.  Those problems contain essential knowledge that you should know. 

  • Links to the solutions of my old exams have been posted above, next to each exam.

Final Exam 

• 5/4 Monday, 10:30am-12:30pm, RE121 (our usual classroom) Herman Hall, Room 003

• No make-up for the final exam

4/28 Update

• • Study Guide Final Exam 332 Spring 26

  • The same policies and logistics will be applied as midterms, unless specified otherwise.

5/1 Update

• The final exam location has changed to Herman Hall, Room 003.

Exam information and updates will appear below until the actual exam date.