## ACMS 20550 Fall 2022, Homework

Due Wednesdays, unless otherwise specified.
All homework assignments are to be submitted to Canvas before the due date.
Homework #1, Due Aug 31, Page 3: 3, 4, 14. Page 5: 2, 3, 4, 5, 6, 7, 8.
Page 8: 2, 4, 6, 7. Page 9: 3, 4, 5, 6.
Page 11: 1, 2, 3, 4. Page 13: 7, 8, 9, 11, 15.
Page 14: 18, 20, 22, 24, 30.

Starting Hw #2, we require submission format to be in PDF. On iphone or android, here are Genius Scans:
https://apps.apple.com/us/app/genius-scan-pdf-scanner-app/id377672876
Choose PDF for your format in the app (see screenshots from the above links)

Homework #2, Due Sept 7, Page 16: 32, 34, 36. Page 17: 1, 3, 5.
Page 19: 2, 4, 6, 8, 10, 12, 22(a)(b)
Page 22: 1, 2, 3, 5, 7, 9, 12, 20, 22.
Page 32: 5(a)(b), 11(a)(b), 14(a)(b), 22, 39, 40
Homework #3, Due Sept 14 (extended to Sept 15, the exam 1 date),
Page 35: 3, 4, 5
Page 40: 5, 6, 7, 10, 11, 12, 16, 18, 21(a)(b) (see note below), 23(a)(b)
Page 45: 4, 5, 6, 7, 9, 18, 22.
Page 51: 1, 2, 9, 11. Page 52: 1, 3, 5, 9, 10. Page 53: 26, 30, 34
For problem 21(a)(b) on page 41, please use matlab to find the approximation.
Please read Matlab Lesson #2 on the homepage before you start the problem.
Try your answers with 10 terms, 100 terms, 1000 terms, 10000 terms.

Exam 1 - Thursday, Sept 15, 8:00 am. Exam 1 covers all materials on Homework #1 and #2.
You may use a BASIC calculator. TI graphic calculators are not allowed.
Exam 1 covers only materials up to Homework #2.
Review session: Wednesday Sept 14 at 7 pm at DBRT 129.
A sample test 1 is posted here
The answer to this Sample test is posted here
Another sample test 1 is posted here
The answer to this Sample test is posted here
Here is a summary of convergence tests posted by Professor Catie Acitelli.

For our course, here are some resources provided by Learning Resource Center.

Homework #4, Due Sept 21, Page 54: 36, 38, 40, 42, 44, 46. Page 55: 53, 54, 57, 58.
Page 56: 67, 68. Page 57: 3, 4, 5, 6, 10, 12. Page 59: 6, 7, 10, 12, 14.
Page 63: 2, 4, 6, 8, 10, 12, 21, 25, 30, 32, 34, 36.
Page 66: 1, 3, 6, 11, 12, 14, 18. Page 69: 4, 6, 8, 11, 12, 14.
Homework #5, Due Sept 28, Page 71: 14, 15, 16, 21 (review Matlab Lesson #1, plot using Matlab, submit a printout)
Page 74: 1, 3, 6, 7, 8, 11, 12. Page 76: 1, 3, 5, 11, 13.
While no homework has been assigned on linear algebra, please get familiar with the
materials from page 89 to page 95. Detailed materials will be covered in ACMS 20620.
We will need these materials. We shall spent one lecture on it.
Page 190: 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12.
Page 192: 1, 2, 4 (verify with Matlab, see Matlab Lesson #3), Page 198: 1, 11, 12, 13.
Homework #6, Due Oct 5, Page 201: 1, 4, 6. Page 203: 2, 7, 8, 10.
Page 210: 2, 3, 5, 10, 12, 14, 15.
Page 213: 4, 6, 8, 9, 12.
Page 222: 3, 4, 5. Page 227: 1.
Homework #7, Due Oct 12 (extended to Oct 13, the exam 2 date),
Page 232: 1, 3, 7. Page 236: 1, 3, 4, 12, 13.
Page 247: 1, 2, 3, 4, 5 (use matlab Lesson #4)
Page 247: 11, 13, 14, 19, 21, 25.

Exam 2 - Thursday, Oct 13, 8 am. Exam 2 covers all Chapters 2 and 4 materials, plus
remaining chapter 1 materials.
You may use a BASIC calculator. TI graphic calculators are not allowed.
Exam 2 covers all materials up to Homework #6, including all chapter 1 materials:
error estimates, High order derivatives, Limits using Taylor series e.g., 
$\displaystyle \hspace{8em}\frac{d^5}{d x^5} \Big( \frac1{x^3} \sin x^3 \Big)_{x=0}, \hspace{2em} \lim_{x\to 0} \frac{1-\cos(3x)}{\tan(x^2)}$
              Review session: Wednesday Oct 12 at 7 pm at DBRT 129.
A sample test 2 is posted here
The answer to this Sample test is posted here
Another sample test 2 is posted here
The answer to this sample is posted here

No homework is due on Oct 19, as it falls within the fall break Oct 15 - 23
Homework #8, Due Oct 26, Page 248: 30, 32, 37, 38, 40, 41.
Page 256: 6(a), 7(a)(b), 17, 18, 19, 20. Page 267: 1
Homework #9, Due Nov 2, Page 268: 11, 14, 16  Page 272: 1, 3  Page 275: 25.
Page 284: 1, 2.  Page 289: 2, 5.
Homework #10, Due Nov 9, Page 294: 1, 2, 3, 4, 6, 7.
Page 298: 1, 3, 5, 7, 9. Page 306: 1, 8, 11
Homework #11, Due Nov 16, (extended to Nov 17, the exam 3 date),
Page 313: 6. Page 322: 3, 4. Page 334: 6, 7.

Exam 3 - Thursday, Nov 17, 8 am. Exam 3 covers Leibniz' rule in Chapter 4,
all Chapter 5 materials, plus Chapter 6, Sections 1 through 8.
A formula summary of Chapter 6, Sections 1 through 8 is provided here
You may use a BASIC calculator. TI graphic calculators are not allowed.
Review session: Wednesday Nov 16 at 7 pm at DBRT 129.
A Sample test 3 is posted here.
The answer to this Sample test is posted here.
Another sample test 3 is posted here.
The answer to this sample is posted here.

Homework #12, Due Nov 23 (extended to Monday Nov 28 since Nov 23 is a Thanksgiving Holiday)
Page 343: 1, 2, 3, 7, 9. Page 347: 6, 7. Page 349: 3, 4, 5, 7, 9. Page 355: 1, 3, 7.
Homework #13, Due Nov 30 (extended to Tuesday Dec 6)
Canvas will not accept any homework submissions after Dec 6.
Dec 7 is our last lecture day
Page 358. 14. Page 360: 12. Page 363: 15(a).
(The matlab code for plotting Fourier series can be found here)
Page 370: 6, 9. Page 377. 5. Page 384. 4. Page 388. 10(c), 12.

The final exam is cumulative, it covers everything we learnt this semester.
A Sample final test is posted here.
The answer to this Sample test is posted here

Another sample final test is posted here.
The answer to this Sample test is posted here

This formula sheet will be provided in our final exam.