Math 360 Section 1 - Calendar- Fall 2006

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All numbers indicate sections from Kosmala Second Edition.

R is for the reading assignment
C is for exercises that are assigned and will be collected
NC is for exercises that are assigned but will not be collected

Monday

Wednesday

Friday
Sept. 4
Labor Day 		Sept. 6
 Sept. 8
Lecture:
Intro to Advanced Calculus
Sets


Homework:
 R 1.1-1.2,1.7
 C 1.1: 3(prove the second assertion in each), 4,6
 NC 1.1: 1,3(rest),5
Sept. 11
Lecture:
Relations and Functions
Fields

Homework Due:
Homework From Sept. 8

Homework:
 C 1.2: 12,13,22,23
 NC 1.2: 21,24
 		Sept. 13
Lecture:
Fields

Homework:
 R 1.3
 C 1.7: 1bdefg,2
 		Sept. 15
Lecture:
Ordered Fields
Natural Numbers

Homework:
 R 1.3
 C 1.7: 3,4bcd
C 1.3: 2abk
 NC 1.3: 2cdj
Sept. 18
Lecture:
Rationals
Completeness Axiom

Homework Due:
Homework Through Sept. 15

Homework:
 R 1.5
 C 1.7: 5
C link to additional problems
Sept. 20
Lecture:
Real Numbers

Homework:
 R 1.6
 C 1.7: 7,8
C link to additional problems
 NC 1.5: 9
 		Sept. 22
Work on Homework Problems
Sept. 25
Presentation:
Closure of Natural Numbers.
Lecture:
Archimedean Property
Density of Rationals

Homework:
 R 1.8
 C 1.7: 10,11,12
 NC 1.7: 15
 		Sept. 27
Presentation:
Closure of Integers and Rationals.
Lecture:
Real Functions

Homework:
 C 1.2:8acdj,9ab,10
 NC 1.2:8befg, 11
 		Sept. 29
Lecture:
Functions
Polynomials

Homework Due:
Homework Through Sept. 25

Homework:
 R 2.1
 C link to additional problems
NC 1.8: 1
Oct. 2
Lecture:
Rational Root Theorem
Inequalities

Homework:
 C 1.8:12,14bd,18
 NC 1.8:6b,14ce,19
 		Oct. 4
Lecture:
Sequences

Homework:
 R 2.2
 C 2.1: 2cdg, 6
 NC 2ach,3a
 		Oct. 6
Lecture:
Sequence Theorems

Homework Due:
Homework Through Sept. 29

Homework:
 C 2.1: 5,7,9
 NC 2.1: 1,12
Oct. 9
Lecture:
Limit Laws

Homework:
 R 2.3
 C 2.1: 17(you can use Thm. 2.2.1),18
C 2.2: 4 (part d)
 NC 2.1: 19
 		Oct. 11
Lecture:
More Limit Laws
Squeeze Theorem

Homework:
 C 2.2: 7(k=3),11egl
 NC 2.2: 11hm
 		Oct. 13
Lecture:
Divergence to Infinity

Homework Due:
Through Oct. 6

Homework:
 R 2.4
 C 2.2: 17
C 2.3: 1,2ab
 NC 2.2: 11gj
Oct. 16
Lecture:
Divergence to Infinity
Questions for Exam

Homework:
 C Study for Exam
 		Oct. 18
Exam 1
Homework:
 C 2.3: 4,5,12a
 NC 12b,16b
 		Oct. 20
Fall Break
Oct. 23
Lecture:
Ratio Test

Homework Due:
Homework Through Oct. 13
2.1: 17(you can use Thm. 2.2.1),18
2.2: 4 (part d)
2.2: 7(k=3),11egl
2.2: 17
2.3: 1,2ab


 Homework:
 C 2.3:11,16b
C link to additional problems
NC 2.3:4
 		Oct. 25
Lecture:
Monotone Sequences


Homework:
 R 2.5
 C 2.4: 4acd,11ce
 NC 2.3: 2
 		Oct. 27
Lecture:
Bolzano-Wierstrass Theorem

Homework Due:
Homework Through Oct. 23

Homework:
 R 2.6
 C 2.5: 2ace,3ac,4
 NC 2.5: 2bd,3bd
Oct. 30
Lecture:
Cauchy Sequences

Homework:
 C 2.5: 9,10
 NC 2.5: 11
 		Nov. 1
Lecture:
Contraction Principle
Subsequences



Homework:
 C 2.5: 14,15
C 2.6: 1 		Nov. 3
Lecture:
Bolzano-Weierstrass Theorem for Squences
limsup and liminf

Homework Due:
Homework Through Oct. 27
Homework:
 R 3.1
 C 2.6: 2ac
C link to additional problems
NC 2.6: 2bd, 6
Nov. 6
Lecture:
Limits at infinity

Homework Due:
Homework Through Nov. 1
Homework:
 R 3.2
 C 2.6: 7,8 		Nov. 8
Lecture:
Infinite Limits

Homework:
 C 3.1:1,5acg,12
 NC 3.1: 5di,8c,13
 		Nov. 10
Lecture:
Limits at a number

Homework:
 R 3.3
 C 3.1: 11
C 3.2: 1ad
 NC 3.2: 1bc
Nov. 13
Lecture:
Limit at a number

Homework Due:
Homework Through Nov. 8

Homework:
 C 3.2: 8,9
 NC 3.2: 15
 		Nov. 15
Lecture:
Sided Limits

Homework:
 C 3.3: 1
C link to additional problems
NC 3.3: 3
 		Nov. 17
Lecture:
More Sided Limits

Homework Due:
Homework Through Nov. 13

Homework:
 C 3.3: 2,4ab
 NC 3.3: 5b
Nov. 20
Lecture:
Continuous Functions
Questions for exam

Homework:
 R 4.1
 NC Study for exam
 		Nov. 22
Exam 2


Homework:
 C 4.1: 2
 		Nov. 24
Thanksgiving Break
Nov. 27
Lecture:
Continuity

Homework Due:
Through Nov. 17

Homework:
 R 4.3
 C 4.1: 3abij,6af
 NC 4.1: 3f, 6hi
 		Nov. 29
Lecture:
Open-Closed Sets

Homework:
 C 4.1: 6lm,7a
 NC 4.1: 7b,9
 		Dec. 1
Lecture:
Functions on Compact Sets

Homework:
 R 4.4
 C Prove Theorems 4.3.4 and 4.3.5
using theorems from class
C 4.3: 3
 NC 4.3: 2
Dec. 4
Lecture:
Intermediate Value Theorem
Uniform Continuity

Homework Due:
Homework Through Nov. 29

Homework:
 R 5.1
 C 4.3:10
C link to additional problems
NC<++>
 		Dec. 6
Lecture:
Uniform Continuity
Derivative of a function

Homework:
 R 5.2
 C 4.4: 3abc
 NC 4.4: 1ad, 2fg
 		Dec. 8
Lecture:
Properties of the derivative

Homework:
 R 5.3
 C 5.2: 2,3,8
 NC 5.1: 3ae
Dec. 11
Lecture:
Power Rule
Rolle's Theorem

Homework Due:
Through Dec. 6

Homework:
 R 8.4
 C 5.2:4b,11
 NC 5.2:1h
 		Dec. 13
 Dec. 15
Final Exam
Friday, December 22nd at 11am

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