### Spring 2021 MATH 310 Section 0401

##### INSTRUCTOR:

Ruiwen Shu, Email: rshu@cscamm.umd.edu.

Office hours: 2:00pm-3:00pm TuTh (on Zoom), and by appointment.

Office hour link: https://umd.zoom.us/j/5108150194

##### LECTURE (all sections):

TuTh 3:30pm-4:45pm, use Zoom through ELMS

##### SYLLABUS: (updated on February 10, 2021)

##### TEXTBOOK:

A transition to advanced mathematics, 8th Edition, by Douglas Smith, Maurice Eigen and Richard St. Andre.

##### LECTURE NOTES: (filename: date_section)

##### HOMEWORK:

Homework 1 (due Friday, Feb. 5): (when asked T/F for a proposition, try to explain a little about how you get the answer. You are not required to be completely rigorous at this stage)

sec1.1: 3(b)(f)(j), 14(a)(b); sec1.2: 5(b)(f); sec1.3: 6(b)(c), 8(a)(c)(k), 10(b)

Homework 2 (due Friday, Feb. 12): (now you are required to be **rigorous** when writing proofs. Missing some sentences like ‘assume x is an integer’ or ‘therefore ~Q implies ~P’ is ok, but the essential logical steps have to be clear. Also, you are allowed to use an easy statement directly (like ‘if x is even, so is x^2’) if the problem is much more complicated than that.)

sec1.4: 5(c)(g), 6(e), 9(a); sec1.5: 4(a), 7(a), 10

Homework 3 (due Friday, Feb. 19):

sec1.6: 1(b)(d), 4(b)(f), 6(f); sec2.1: 11(c); sec2.2: 2(d)(j), 9(e)

Homework 4 (due Monday, Mar. 1):

sec2.1: 14(d), 18(b); sec2.2: 14 (be careful!), 16(b)

Homework 5 (due Friday, Mar. 5):

sec2.4: 4(d)(g), 5(a)(n), 6(b)

Homework 6 (due Friday, Mar. 12):

sec2.5: 3; sec3.1: 1, 3(b)(d) (no need to prove), 5(d) (write proof), 6(d)(h) (express your answer as {(x,y): y=something in x}), 7(a)(c)

##### EXAM SOLUTIONS:

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Previous teaching:

At University of Maryland, College Park, as instructor:

Fall 2020~2021 Math 246 (Introduction to ODEs)

Spring 2019~2020 AMSC 460 (numerical methods)

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)