Week(s)

Dates

Sec.

Topics

1

 June 18 – 19

2.1

Limits (An intuitive Introduction)

2

June  22 – 27

2.2

2.3

2.4

2.5

Limits (Computational Techniques)

Limits (Discussed more rigorously)

Continuity

Limits and Continuity of Trigonometric Functions

3

June 29 –July 3

3.1

3.2

3.3

3.4

Tangent Lines and Rates of Change

The Derivative

Techniques of Differentiation

Derivatives of Trigonometric Functions

4

July 5 – July 10

3.5

3.6

4.1

4.2

The Chain Rule

Local Linear Approximation; Differentials

Inverse Functions

Logarithmic and Exponential Functions

5

July12 –July 17

4.3

4.4

4.5

4.6

Implicit Differentiation

Derivatives of Logarithmic and Exponential Functions

Derivatives of Inverse Trigonometric Functions

Related Rates

6

July 19 – July 24

4.7

5.1

5.2

L’Hopital’s Rule; Indeterminate Forms

Increasing, Decreasing, and Concavity

Relative Extrema; First and Second Derivative Tests

7

July 27 – July 31

5.3

6.1

6.2

6.3

Applying Technology and the Tools of Calculus

Absolute Maxima and Minima

Applied Maximum and Minimum Problems

Rectilinear Motion

8

Aug.3 – Aug. 7

6.4

6.5

Newton’s Method

Rolle’s Theorem; Mean-Value Theorem

Review

9

Aug.10 –Aug. 12

Final exams