MATHEMATICS 69.107, SECTION I, CLASS OUTLINE FOR FALL 2000

WEEK 

DATES 

TESTS 

SECTIONS 

TOPICS 

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Sep. 7

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3.1-3.3

Derivatives.

1

Sep. 11-15

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3.4, 3.5

Implicit Differentiation. Derivatives of Trigonometric Functions.

2

Sep. 18-22

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3.10, 3.11, 3.12

Derivatives of Inverse Trigonometric Functions. Newton's Method.

3

Sep. 25-29

Test 1

4.1-4.7

L'Hospital Rule. Exponential and Logarithmic Functions and Their Derivatives

4

Oct. 2-5

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10.3, 5.3

Laws of Growth and Decay. Maximum and Minimum Values.

Oct. 10-13

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5.3, 7.1

First and Second Derivative Test. Curve Sketching. Indefinite Integrals

6

Oct. 16-20

Test 2

7.2-7.4

Definite Integrals, Area Under a Curve, Fundamental Theorem of Calculus.

7

Oct. 23-27

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8.1-8.3

Integration by substitution. Integration by Parts.

8

Oct. 30 - Nov. 3 

Test 3

8.4-8.5

Integration by Partial Fractions. Products and Powers of Trigonometric Functions.

9

Nov. 6-10

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8.6-8.7

Trigonometric Substitution. Numerical Integration

10

Nov. 13-17

Test 4

9.2-9.3

Areas Between two Curves, The Volume of a solid of revolution.

11

Nov. 20-24

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10.1-10.2


Simple Differential Equations.

12 

Nov. 27 - Dec. 1 

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Sample Final Exams.

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Dec. 4

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Sample Final Exams