**Announcement: Changes have been made due to COVID-19, marked as red.**

Spring 2019~2020 **AMSC/CMSC 460** (Numerical methods), section 0201, University of Maryland, College Park

Lecture: TuTh 9:30am-10:45am, using Zoom

Email: rshu@cscamm.umd.edu

Office: 4150 CSIC building

Office hours: 12:00pm-1:00pm Tuesday, and by appointment

**Syllabus:** spring2020_amsc460_shu_syllabus (updated: March 31)

**Textbook 10th edition: ****https://drive.google.com/file/d/1Q8r1C_GUegqJBpd_3moTHzt3qv5qxc-v/view**

**Previous exams:**

midterm1_soln midterm2_soln final

Proof problems like #4,#5 in previous midterm1 will not appear in this semester.

**Exam contents:**

**Exam solutions:**

### Lecture notes:

(format: date_chapter_section)

20200128_1_2 (codes: teaching_code_20200128.m)

20200130_2_1 (codes: teaching_code_20200130.m)

20200206_2_2_2_3 (codes: teaching_code_20200206.m)

20200211_2_3_2_4 (codes: teaching_code_20200211.m)

20200218_3_1_3_2 (codes: teaching_code_20200218.m)

20200303_6_2 (codes: teaching_code_20200303.m)

20200305_6_5 (codes: teaching_code_20200305.m)

20200312_8_1 (codes: teaching_code_20200312.m)

20200407_4_1 (codes: teaching_code_20200407.m)

### Homework: (all from textbook)

You **don’t** need to print your codes with the homework. Just print the outputs.

HW1 (due Thursday, February 13):

sec 1.2: 5(a)(b). (ignore things about relative errors)

sec 2.1: 3, 18. (you could use my codes, but you are suggested to write your own. Intermediate values of p_n should be shown in your report.)

sec 2.2: 5, 12 (for 12, you could use a code with TOL much smaller than 10^{-4}. Ignore the last sentence in the problem.)

sec 2.3: 6(a) (Intermediate values of p_n should be shown in your report)

HW2 (due Thursday, February 20):

sec 2.3: 11(b) (only Newton’s and secant methods)

sec 2.4: 10 (this result means, if you know the multiplicity of the root you want to find, then you can achieve quadratic convergence without computing f”(x) (like in the modified Newton’s method))

sec 3.1: 1(a)(c) (for the polynomial with deg<=1, use any two base points out of x0,x1,x2)

HW3 (due Thursday, February 27):

sec 3.1: 3(a)(c) (only for degree-2 case)

sec 3.2: 1(a) (you are suggested to write a code because this is a nice practice of coding)

sec 3.3: 1(a)

HW4 (due Thursday, March 12):

sec 6.2: 1(a)(d), 3(a)(d) (you are suggested to write your own code, as practice)

sec 6.6: 2 (only the ‘strictly diagonally dominant’ part)

sec 6.5: 2(a), 6(a)(d)

HW5 (due Thursday, April 2): (you are supposed to submit via ELMS)

sec 6.6: 3(a)(b), 17

sec 8.1: 3

HW6 (due Thursday, April 9): (you are supposed to submit via ELMS)

sec 8.2: 1(a)(c), 11 (weight function w(x) is constant 1 if not stated in the problem)

Homework still uses 10th edition textbook (available here https://drive.google.com/file/d/1Q8r1C_GUegqJBpd_3moTHzt3qv5qxc-v/view)

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Previous teaching:

At University of Maryland, College Park, as instructor:

Fall 2019~2020 AMSC 460 (numerical methods), 2 sections

Spring 2018~2019 Math 136 (calculus for life sciences)

Fall 2018~2019 Math 141 (calculus 2)

At University of Wisconsin-Madison, as teaching assistant:

Fall 2017~2018 Math 234 (calculus 3)

Fall 2016~2017 Math 222 (calculus 2)

Fall 2015~2016 Math 234 (calculus 3)

Spring 2014~2015 Math 221 (calculus 1)

Fall 2014~2015 Math 221 (calculus 1)