Math 409 (Spring 2019)

Syllabus: link

Lectures: TR 2:20-3:35pm, Blocker 161

Office: Blocker 633C

Office Hours: Monday 1:30 - 3:30 pm or by appointment
 
Textbooks:
Final Exam: May 7 (Tuesday), 1:00 - 3:00pm, Blocker 161

Practice Final Exam
Solution
The final exam will cover 1.1-1.6, 2.1-2.4, 3.1-3.4, 4.1-4.5, 5.1-5.4,
with emphasis on Chapters 4 and 5.

Axioms, theorems, and definitions you may be asked to state:
completeness axiom, well-ordering principle, limit of a sequence,
Cauchy sequence, continuity, intermediate value theorem, extreme value theorem,
uniform continuity, derivative, mean value theorem, integrability

Midterms: (Please notify me if you spot any errors/typos.)

Midterm
Date
Practice Exam Sections Covered
#1
Feb 19 practice #1 solution #1
practice #2 solution #2 		1.1 ~ 1.6
#2
solution 		Apr 4 practice #1 solution #1
practice #2 solution #2 		2.1 ~ 2.4, 3.1 ~ 3.4

For midterm 1: Definitions and axioms you may be asked to state:
completeness axiom, countable set, well-ordering principle, Archimedean principle

For midterm 2: theorems and definitions you may be asked to state:
limit of a sequence, Bolzano-Weierstrass theorem, Cauchy sequence,
continuity, extreme value theorem, intermediate value theorem, uniform continuity.

Homework:

Homework
 Due date Problems from the textbook
#1
 Jan 29 (Section 1.2): 0, 3, 4(a,c), 7(a,b), 10
(Section 1.3): 0(a,c), 1(a,e)(just state the answer), 4
#2
 Feb 5 (1.3): 6, 7, 8; (1.4): 2(b,d), 4(a,c);
(1.5): 0(b,c,d), 2(a,b,c) (just state the answer)
#3
 Feb 12 (1.5): 5, 6; 1.6: 0, 1, 3, 6(a)[*]
#4
 March 5 2.1: 0, 1(c,d), 2(a), 4, 7, 8; 2.2: 0(a,b), 1(a,b)
#5
 Mar 19 2.2: 2(b), 3(a,b); 2.3: 0, 3, 7; 2.4: 0, 3(b,c), 4
#6
 Mar 26 3.1: 0(c,d), 1(a,d), 3(a), 6;
3.2: 0(a,c), 1(b), 6
#7
 not handed in 3.3: 0(a,c), 1(a,b), 2(a), 4
3.4: 0, 1, 4, 6
#8
 Apr 16 4.1: 3, 6; 4.2: 0, 1, 2; 4.3: 0(a,b), 4, 9
#9
 Apr 23 4.4: 1, 3, 5(a,c); 4.5: 0(a,b), 1, 7
#10
 not handed in 5.1: 0(a), 2(b), 3, 4; 5.2: 0(b), 6
#11
 not handed in 5.3: 0(a,b), 1(b,c), 3; 5.4: 0(b,c), 1(b), 7

[*]. Hint: you may want to use mathematical induction.