# Ji-Shan HU

(PhD, Princeton, 1991)

### Research Interests:

Applied analysis

### Courses:

Fall, 2013

Math 3043 Honors Real Analysis

Syllabus

Midterm Test: Room 4480, 12 Apr 2013 (Fri) , 19:00-22:00 solutions

Previous Midterm: 2011

 Assignments Due time 1 6.8, 6.13(a), (b), (d) 7pm, Feb 14 2 7.4(a), 7.4(c) (find where it is absolutely convergent, where it fails to converge uniformly) 7pm, Feb 21 3 7.9, 7.11, 7.12 7pm, Feb 28 4 7.7 7pm, Feb 28 5 7.16, 7.20, 7.22 7pm, Mar 7 6 8.9(a) 7pm, Mar 7 7 8.7, 8.8, 8.10 7pm, Mar 14 8 8.15 7pm, Mar 14 9 8.12, 8.17(a), (b).Optional: 8.17(c). 7pm, Mar 21 10 9.7, 9.9, 9.14 7pm, Mar 28 11 9.24 7pm, Mar 28 12 9.16, 9.17 7pm, April 11 13 homework #1, #2 7pm, April 18 14 #3 7pm, April 25 15 homework(revised) #3 7pm, April 25 16 homework #1, #2 7pm, May 2 17 homework 7pm, May 9 18 19

Math 4051 Theory of ODEs

Syllabus

Lecture Notes

Mid-term Test: 10:30-11:55 on March 15 (Fri) in Classroom 2406 , solutions

Previous Midterms: 2011, 2012

Previous Finals: 2011, 2012

 Assignments Due time 1 Section 1.1: #1, #3 18:00 on Feb 14 2 Section 1.1: #4; Section 1.2: #1, #2 18:00 on Feb 14 3 Section 1.2: #5, Section 1.3: #1 18:00 on Feb 21 4 Section 1.3: #3 18:00 on Feb 21 5 Section 1.4: #1, #2 18:00 on Feb 28 6 Section 1.4: #3, #5 18:00 on Feb 28 7 Section 1.5: #1, #2 18:00 on Mar 7 8 Section 1.6: #1, #3 18:00 on Mar 7 9 Section 1.6: #4, #5 18:00 on Mar 14 10 Section 2.1: #1(b), #1(f), #2 18:00 on Mar 21 11 Section 2.2: #1(b), #1(g), #1(i), #2 18:00 on Mar 28 12 Section 2.2: #1(e), #1(h) 18:00 on Mar 28 13 Section 2.3: #1(b), #1(d), #1(e), #1(h) 18:00 on Apr 11 14 Section 2.3: #1(i) 18:00 on Apr 11 15 Section 2.4: #4, #5, #6 18:00 on Apr 25 16 Section 2.5: #1, #2, #3 18:00 on May 2 17 #1: For the system given in Example 2.5.1, find a Liapunov function for the crtitical point (-1,-1). 18:00 on May 2 18 homework 18:00 on May 9 19 homework 18:00 on May 9

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