Math 409 (Fall 2017)

Syllabus: link

Lectures: MWF 9:10-10:00am, Blocker 160

Office: Blocker 633C

Office Hours: Monday 1:30 - 3:30 pm or by appointment
 
Textbooks:

Help Session: Tuesday and Thursday, 8:00 - 10:00 pm, Blocker 202


Final Exam: December 11th (Monday), 8:00 - 10:00 am, Blocker 160

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
solution
Oct. 4 practice #1
solution
1.1 ~ 1.6
#2
solution
Nov. 8 practice #2
solution
2.1 ~ 2.4, 3.1 ~ 3.4

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
Sep 13 (Section 1.2): 0, 3, 4(a,c), 7(a,b), 10
#2
Sep 20 (Section 1.3): 0(a,c), 1(a,e)(just state the answer), 4, 6, 7, 8
#3
Sep 27 1.4: 2(b,d), 4(a,c);
1.5: 0(b,c,d), 2(a,b,c) (just state the answer), 5, 6
#4
not handed in 1.6: 0, 1, 3, 6(a)
#5
Oct 11 2.1: 0, 1(c,d), 2(a), 4, 7, 8
#6
Oct 18 2.2: 0(a,b), 1(a,b), 2(b), 3(a,b)
2.3: 0, 3, 7
#7
Oct 27 2.4: 0, 3(b,c), 4
3.1: 0(c,d), 1(a,d), 3(a), 6
#8
Nov 1 3.2: 0(a,c), 1(b), 6
3.3: 0(a,c), 1(a,b), 2(a), 4
#9
not handed in 3.3: 3, 4, 5, 10
3.4: 0, 1, 4, 6
#10
Nov 15 4.1: 3, 6; 4.2: 0, 1, 2; 4.3: 0(a,b), 4, 9
#11
Nov 29 4.4: 1, 3, 5(a,c); 4.5: 0(a,b), 1, 7;
5.1: 0(a), 2(b), 3, 4
#12
not handed in 5.2: 0(b), 6; 5.3: 0(a,b), 1(b,c), 3; 5.4: 0(b,c), 1(b), 7