ACMS 60550/50550 Spring 2023, Homework

The purpose of the homework is to help you learn the material. You may re-try any homework that you do not get 100%, for as many times as you wish. For fairness to the students who get everything right and on time,

All homework and re-tries must be submitted by May 9. Final exam will be distributed on May 1 with the due date (Tuesday May 9 at 12:30 pm) assigned by the registrar. See the official Final Exam schedule. Please discuss your homework with each other in your weekly discussion session. You are welcome to share your ideas with each other before submission. However, your submitted homework should represent your understanding of the materials.

 Hw #1. Due Tuesday Jan 24. 
  (a) Elect a course coordinator. Find a one-hour per week time to meet to discuss the homework.
  (b) page 91, 1.1, a,b,c,d,e,i,m. (The problem starts with "Show that". Any statements within the
      "Show that" request require proof.)

 Hw #2. Due Tuesday Jan 31, page 95, 1.5 a,b; 1.6 a,b,c,d,e; 1.7;

 Hw #3. Due Tuesday Feb 7, page 95, 1.8 a,b,c,d,e; 1.11a;

 Hw #4. Due Tuesday Feb 14, page 98, 1.9 a,b,c,d;

 Hw #5. Due Tuesday Feb 21.
  (a) Find a convenient evening time between March 6 and 9 for the mid-term exam.
      It is going to be a 90 minutes exam, but please find a date with at least 180 minutes.
      The lecture time on April 4 and April 6 (no classes) will be ultilized to accomodate this 
      mid-term exam.
  (b) page 93, 1.1 n, o, p; (there are only three problems, and there is a hint for each problem,
      see me if you need more hint.)
 Tuesday Feb 28: No homework due this week, please review for the mid-term exam next week.
 All homework materials up to Hw #5 are expected.
 Here is a list of what you are expected. 

 Mid-term exam: Hayes-Healy 125 Wednesday March 8 from 7 pm to 10 pm.

 Hw #6. Due Tuesday Mar 7, page 94, 1.3 a, b, c; 1.4 a;

 Hw #7. Due Tuesday Mar 21, page 178, 2.2, 2.3, 2.5; 2.12 
        (2.12 is a reading assignment: the solution is given in the book, read the proof
        Do not submit your reading assignment);
        Here is a hint.

 Hw #8, Due Tuesday, Mar 28, page 178, 2.7, 2.9c, 2.9d; 2.13b
        (2.13b is a reading assignment: the solution is given in the book, read the proof
        Do not submit your reading assignment);
        2.9c Hint: To show integration against an infinityly many time differentiable function with zero 
        in a neighborhood of the boundary, one needs to delete a small neighborhood of singularity and 
        then integration by parts (by divergence theorem) and take the limit. 

 Hw #9, Due Tuesday, April 11, page 222, 3.1; 3.2; 

 Hw #10, Due Tuesday, April 18, page 251, 4.1; 

 Hw #11, Due Tuesday, April 25, page 414, 5.3 (i)(ii), 5.4(i)(ii)(iii);