Math 14 - Survey of Calculus - Fall 2003

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Last modified: Sept. 30, 2003

All numbers indicate sections from Tan Fifth Edition.

Monday

Wednesday

Friday
Sept. 1
Labor Day 		Sept. 3
Lecture:
Introduction to Calculus

 Sept. 5
Lecture:
Functions and Graphs

Homework Due:
Read: Section 2.1
Sept. 8
Lecture:
Combining Functions

Homework Due:
Read:Section 2.2,2.3
Do: Section 2.1- 4,8,11,14,20,32,35,44,47,52,67,70,71
 		Sept. 10
Lecture:
Mathematical Models

Homework Due:
Do:
Section-2.2: 6,16,24,26,27,32,40,51,53
Section-2.3: 3,7,17,30,31
 		Sept. 12
Lecture(10:20-11:00):
Limits of Functions

Homework Due:
Read: Section 2.4(pg. 110-120)
Do:
Section-2.3: 12,13,19,20,23,25,33,44,45,48,55,57
 pg 76-78 Examples 1-3 (Not to be turned in),
pg 104 Examples 1,2 (Not to be turned in)
Sept. 15
Lecture:
Limits of Functions

Homework Due:
Read: 2.4(pg. 121-127)
Do:
Section-2.4: 1,4,6,10,12,13,14,15 		Sept. 17
Lecture:
One-sided limits Continuity

Homework Due:
Read: 2.5
Do:
Section-2.4: 26,32,34,40,49,54,56,59,60 		Sept. 19
Lecture:
More Continuity
Derivative

Homework Due:
Read: 2.6
Do:
Section 2.5: 2,4,5,10-13,
30,34,51,56,58,60,62,73
Sept. 22
Lecture:
More Derivatives
Rules of Differentiation

Homework Due:
Do:
Section 2.5: 71,78,80,86,88
Section 2.6: 1,2,4,5
pg 153 11-13 (Not to be turned in)
 pg 153: 15 (turn this one in)
Chapter 2 Review: 1,4,12,16,18
 		Sept. 24
Lecture:
More Derivatives
Questions Answered

Homework Due:
Do:
Section 2.6: 9,12,14,16,20,26,31,32
Chapter 2 Review: 29,36,42
 		Sept. 26
Lecture:
Exam 1
Topics Covered:Chapter 2
Sept. 29
Lecture:
Sum and Power Rules of Differentiation

Homework Due:
Read: 3.1
Do:
 		Oct. 1
Lecture:
Product and Quotient Rules of Differentiation

Homework Due:
Read: 3.2
Do:
Section 3.1: 2,4,5,10,13,14,18,28,30,34,
35,36,42,44,56,57,58,63,72 		Oct. 3
Lecture:
The Chain Rule of Differentiation

Homework Due:
Read: 3.3
Do:
Section 2.2: 1,2,4,6,10,14,22,24,30,31,34,40,
41,47,48,54,58,59,60,61
Oct. 6
Lecture:
Applications in Economics
Homework Due:
Read: 2.4 (pg. 224-231)
Read up to Elastity of Demand.
Read: 2.5
Do:
Section 3.3: 1,3,6,12,14,21,22,24,34,42,46,47,
48,53,54,63,65,80 		Oct. 8
Lecture:
More Economics Applications
Higher-Order Derivatives

Homework Due:
Read: 2.6
Do:
Section 3.4:2-4,6,7,12,13,16,17,18
 		Oct. 10
Lecture:
Implicit Differentiation
Related Rates
Homework Due:
Read: 4.1(278-283)
Do:
Section 3.5: 2,6,11,15,20,23,29,30-33
Oct. 13
Lecture:
Related Rates

Homework Due:
Read: 4.1
Do:
Section 3.6: 1,2,6,8,15,16,22,24,
29,31
 		Oct. 15
Lecture:
Increasing and Decreasing


Homework Due:
Do:
Section 3.6:34,36,38,
39-44,51,52,54,57-60
 		Oct. 17
Fall Break
Oct. 20
Lecture:
Relative Extrema and Critical Points


Homework Due:
Read: 4.2
Do:
Section 3.6 48,49
Section 4.1: 6,8,12,18,22,25,33 		Oct. 22
Lecture:
Concavity and Inflection Points
The Second Derivative Test


Homework Due:
Read:
Do:
Section 4.1:48,53,59,60,76,77
 		Oct. 24
Lecture:
Absolute Extrema
Optimization

Homework Due:
Read: 4.4
Do:
Section 4.2:1,2,6,7,8,22,28,35,42
Secton 4.2:61,64,67,79,80
Oct. 27
Class Canceled Due to Fires 		Oct. 29
Classes Canceled Due to Fires 		Oct. 31
Lecture:
More Optimization


Homework Due:
Read: 4.5
Do:
Section 4.4 1,2,3,6,16,17,27,28,36,41,42,52,58
Nov. 3
Lecture:
Questions Answered


Homework Due:
Section 4.5:1,2,3,8,9,11,12,18,19,20
 		Nov. 5
Lecture:
Exam 2
Topics Covered: Section 3.1 thru 4.5
(Does not include 4.3)

Nov. 7
Lecture:
Exponential Functions

Homework Due:
Read: 5.1
Do: 4.4: 55,56
4.5: 21,22,24
Chapter 4 Review: 39
Nov. 10
Lecture:
Loarithmic Functions

Homework Due:
Read: 5.2
Do:
Section 5.1: 2,4,6,7,14,15,16,23-26,36-39 		Nov. 12
Lecture:
Compound Interest


Homework Due:
Read: 5.3
Do:
Section 5.2: 1,6,10,11,12,14,16,21,22
Section 5.2: 24,28,32,36,38,42,44,47
 		Nov. 14
Lecture:
Differentiation of Exponential Functions

Homework Due:
Read: 5.4
Do:
Section 5.3: 1,3,4,6,12,13,15,16
Section 5.3: 21,22,23,27,29
Nov. 17
Lecture:
Differentiation of Exponential Functions

Homework Due:
Read: 5.5
Do:
Section 5.4: 1,6,10,11,12,21,28
Section 5.4: 34,35,41,44,50,53,59,60
 		Nov. 19
Lecture:
Mathematical Models using Exponential Functions

Homework Due:
Read: 5.6
Do:
Section 5.5: 1,4,10,13,25,28,32,34,35
Section 5.5: 38,39,42,50,51,55,56,59,60 		Nov. 21
Lecture:
Questions Answered

Homework Due:
Do:
Section 5.6: 2,4,5,8,11,12,14,16,18,20,24
Nov. 24
Lecture:
Exam 3
Topics Covered: Chapter 5

Nov. 26
Lecture:
Antiderivatives
Basic Rules of Intergration


Homework Due:
Read: 6.1
 Nov. 28
Thanksgiving
Dec. 1
Lecture:
Initial Value Problems
Integration by Substitution


Homework Due:
Read: 6.2
Do:
Section 6.1:
1,2,3,4,8,9,10,12,18,20,35,38
 		Dec. 3
Lecture:
More Integration by Substitution
Area under curves

Homework Due:
Read: 6.3
Do:
Section 6.1: 51,52,56,57,63,64,70,80
Section 6.2: 1,2,3
 		Dec. 5
Lecture:
More Area
Definite Integral

Homework Due:
Do:
Section 6.2: 13,18,22,28,35,45,50,57,63,64
Section 6.3: 1,2,3
Dec. 8
Lecture:
The Fundamental Theorem of Calculus

Homework Due:
Read: 6.4
Do:
Section 6.2: 39,46,47
Section 6.3:7,8,13,14,17
 		Dec. 10
Lecture:
More Fundamental Theorem


Homework (Not to be turned in):
Do:
Section 6.4: 1,2,3,4,10,12,16,20
 		Dec. 12
Lecture:
Final Review
All Qestions Answered


Homework (Not to be turned in):
Do: Section 6.4: 31,38,40,41,43,46,47,48
Final Exam, Friday, December 19, 11:00 am

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