Schedule

Week 1

First day of classes: Monday, July 1

Topics

July 1:

Appendix A: Numbers, Inequalities, and Absolute Values

Appendix B: Coordinate Geometry and Lines

Appendix D: Trigonometry

July 2:

Section 1.3: New Functions from Old Functions

Section 1.4: Exponential Functions

Section 1.5: Inverse Functions

July 3:

Section 1.5: Logarithms

:Section 2.2: The Limit of a Function

Independence Day: No class Thursday, July 4.

Week 2

Topics

July 8:

Section 2.2: The Limit of a Function

Section 2.3: Calculating Limits Using the Limit Laws

July 9:

Section 2.5: Continuity

July 10:

Section 2.6: Limits at Infinity; Horizontal Asymptotes

Section 2.7: Derivatives and Rates of Change

Section 2.8: The Derivative as a Function

July 11:

Midterm 1 Review

Week 3

Midterm 1: July 16, class time.

July 15:

Section 3.1: Derivatives of Polynomials and Exponential Functions

Section 3.2: The Product and Quotient Rules

Appendix: Binomial Coefficients

July 16:

Midterm 1

July 17:

Section 3.3: Derivatives of the Trigonometric Functions

Section 3.4: The Chain Rule

July 18:

Section 3.5: Implicit Differentiation

Section 3.6: Derivatives of Logarithmic Functions

Week 4

July 22:

Section 3.7: Rates of Change in Natural and Social Sciences

July 23:

Section 3.9: Related Rates

Section 3.10: Linear Approximation and Differentials

July 24:

Section 4.1: Maximum and Minimum Values

Section 4.2: The Mean Value Theorem

July 25:

Midterm 2 Review

Week 5

July 29:

Midterm 2

July 30:

Section 4.3: How Derivatives Affect the Shape of a Graph

Section 4.4: Indeterminate Forms and L’Hospital’s Rule

July 31:

Section 4.7: Optimization Problems

Section 4.9: Antiderivatives

Aug 1:

Section 5.1: Areas and Distances

Section 5.2: The Definite Integral

Week 6

Aug 5:

Section 5.3: Fundamental Theorem of Calculus

Section 5.4: Indefinite Integrals and the Net Change Theorem

Section 5.5: The Substitution Rule

Aug 6:

Final Exam Review

Aug 7:

Office Hour

Aug 8:

Final Exam