Week Material Readings from
Textbook
Homework/Recitation Assignments
1

June 1997

Exponential Functions

Derivatives of Exponentials; The Natural Base

Logarithmic Functions

3.1

3.2

3.3

p. 200: 3, 5, 9, 13, 17, 27, 29, 35, 39, 43, 45, 47
p. 214: 1, 5, 9, 13, 15, 17, 21, 27, 33, 35, 39, 45, 60-62
1

18 Nov 96

Derivatives of Logarithmic Functions

Exponential Growth/Decay Problems

Inverse Trigonometric Functions

3.4 (to p. 218)

3.5

3.6

p. 221: 1, 5, 7, 11, 15, 19, 23, 27, 31, 45, 49, 51
p. 226: 3, 5, 7, 9, 11, 12, 13, 17, 19, 20, 21
p. 233: 1, 3, 11, 13, 31, 33, 35, 37, 41, 43, 51, 61, 63, 65
3

25 Nov 96

No Thursday lectures
No recitations this week

Related Rate Problems 2.8
p. 172: 5, 7, 15, 17, 19, 21, 23, 25, 26, 27
4

2 Dec 96

Differentials and Linear Approximations

Review

2.9 (to p. 178)
p. 180: 1, 5, 7, 11, 13, 17, 25, 27-29
5

6 Jan 97

Differentials & Linear Approximations
   (in recitation)

Antiderivatives

SIgma Notation

Chapter 2: Sec. 2.9 (to p. 178)

Chapter 4: Sec. 4.9

Chapter 5: Sec. 5.1

p. 180: 1, 5, 7, 11, 13, 17, 25, 27-29
p. 313 3, 7, 11, 19, 23, 27, 31, 55, 57, 61, 63, 69, 71-72
p. 326 1, 5, 9, 13, 17, 19, 21, 25, 29, 31, 41(a,c), 47-49
6

13 Jan 97

Area as a Limit

The Definite Integral

Chapter 5: Sec. 5.2 (to p. 333)

Chapter 5: Sec. 5.3 (to p. 341)

p. 335: 1, 3, 7, 21-22
p. 344: 1, 5, 9, 11, 13, 23, 25, 27, 29, 31
7

20 Jan 97

The Fundamental Theorem of Calculus

Indefinite Integrals

The Substitution Rule (Change of Variable)

Chapter 5: Sec.5.4 - 5.5
p. 356: 5, 7, 9, 11, 17, 19, 23, 25, 37, 43, 47, 63
p. 356: 67, 69, 71, 75, 77, 79, 81, 83
p. 365: 1, 3, 7, 9, 13, 17, 21, 27, 29, 35, 37, 53, 59, 63, 65, 69
8

27 Jan 97

Area Between Curves

Volumes by Slicing

Chapter 6: Sec. 6.1 - 6.2
p. 385: 1, 3, 5, 9, 11, 15, 17, 29, 33, 35, 41, 43
p. 396: 3, 7, 9, 11, 33, 35, 37, 49, 51, 53, 63, 69
9

3 Feb 97

Volumes by Cylindrical Shells

Work

Chapter 6: Sec. 6.3 - 6.4
p. 402: 1, 5, 11, 13, 17, 19, 35, 39, 41-42, 45-46
p. 406: 3, 5, 7, 11, 13, 15, 17, 19, 23-24, 25
10

10 Feb 97

Integration by Parts

Intetegration Using Tables
 and Computer Algebra Systems

Chapter 7: Sec. 7.1 & 7.7
p. 421: 1, 3, 5, 11, 13, 17, 19, 31, 37, 39, 42, 46
p. 457: 1, 3, 4, 5, 7, 11, 13, 19, 31, 33, 35-38
11

17 Feb 97

Approximate Integrations

Trapezoidal Rule and Simpson's Rule

Arc Length

Chapter 7: Sec. 7.8

Chapter 8: Sec. 8.2 (to p. 497)

p. 466: 3, 7, 11, 15, 36 (with Maple), 29-33 (with calculator)
p. 499: 3, 5, 9, 17, 19, 21, 23, 33
12

24 Feb 97

Differential Equations

Moments and Centers of Mass

Chapter 8: Sec. 8.1

Chapter 8: Sec. 8.4

p. 491: 1, 3, 5, 9, 17, 29, 31, 33, 34, 43
p. 511: 1, 3, 5, 7, 9, 11, 17, 19, 23, 25, 26-27
13

3 Mar 97

Curves Defined by Parametric Equations

Tangents and Areas

Arc Length for Parametric Curves

Chapter 9: Sec. 9.1-9.3 (to p. 542)
p. 531: 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 28, 31
p. 538: 1, 3, 5, 7, 19, 21, 23, 29
p. 543: 1, 3, 5, 7, 9, 11, 13, 15
14

10 Mar 97

Polar Coordinates & Polar Curves

Area in Polar Coordinates

Review for Final Examination

Chapter 9: Sec. 9.4 (to p. 548)

Chapter 9: Sec. 9.5 (to p. 555)

p. 552: 1, 7, 11, 13, 15, 17, 21, 25, 27, 31, 33, 37, 39, 43, 51
p. 558: 3, 5, 7, 11, 15, 21, 23, 25
Note: The above problems are to be prepared for the Week 1 Recitation in Spring term.


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