Date

Week

Topic in "Single Variable Calculus" by James Stewart 7th Edition

Days

24 Jan.-28 Jan.

1

Appendix B Coordinate Geometry and Lines AND

2

Appendix C Graphs of Second Degree Equations (Circle and Parabola ONLY)

1.5 Limit of a function - intuitive just mention the epsilon-delta issue; see 1.7

2

In a T or Th session a short lecture (30 min.) on epsilon-delta; (not on test or quiz)

Use all four days in Week 1 for teaching

31 Jan. - 4 Feb.

2

2.1 Derivatives and Rates of Change with some reference to

1.4 Tangent and Velocity Problems

1

1.6 Calculating limits using limit laws

1

1.8 Continuity AND

2.2 Derivative as a Function

1

7 Feb. - 11 Feb.

3

2.3 Differentiation Formulas

2

Appendix D Trigonometry AND

1

14 Feb. - 18 Feb.

4

2.4 Derivatives of Trig Functions

1

1.3 New functions from old

1

2.5 Chain Rule - for composition refer back to 1.3

1

22 Feb. - 25 Feb.

5

2.6 Implicit Differentiation

1

22 Feb. or 24 Feb.

FIRST TEST ( cover up to 2.4 Derivatives of Trig Functions)

1

NO class on 21 Feb.

2.7 Rates of change in the nature and social sciences-Physics

1

28 Feb. - 4 Mar.

6

2.7 Rates of change in the nature and social sciences- Chemistry/Biology/Economics

2

2.8 Related Rates

1

7 Mar. - 11 Mar.

7

3.1 Maximum and Minimum values

2

3.2 Mean Value Theorem AND

1

14 Mar. - 18 Mar.

8

3.3 Shape of a graph

1

8

3.4 Limits at infinity; Horizontal Asymptotes

2

28 Mar. - 1 Apr.

9

3.5 Curve Sketching

2

3.7 Optimization

1

4 Apr. - 8 Apr.

10

3.7 Optimization (continue)

1

04/08/11, in class

SECOND TEST (cover up to 3.4 Limits at infinity; Horizontal Asymptotes)

1

4.1 Areas and distances AND

2

Appendix E: Summation notation

11 Apr. - 15 Apr.

11

4.2 Definite Integral AND

2

4.3 Fundamental Theorem of Calculus

4.4 Indefinite integrals AND

1

26 Apr. - 29 Apr.

12

3.9 Antiderivatives AND

1

4.5 Substitution Rule

NO class on 25 Apr.

5.1 Area between curves

1

2 May – 6 May

13

5.2 Volumes

2

05/06/11, in class

THIRD TEST (Cover up to 4.5 Substitution Rule)

5.3 Cylindrical shells

1

9 May – 13 May

14

5.5 Average Value of a function

1

Review

2

Review or 3.8 Newton's Method or 2.9 Differentials

1

FINAL EXAM