Note: This schedule is a guideline for a MWF-50 minute class. Those sections meeting two times a week will be making the adjustments necessary to cover the same topics within the semester.

**January 20, 22, 25, 27, February 1****Introduction**

Review of Trigonometry and Trigonometric Functions

ed 1: Appendix A

ed 2: Appendix A

**Limits**

ed 1: 1.3 Number 1-8, 11, 13, 16, 19, 20

ed 2: 1.3 Number 1-8, 11, 13, 16, 19, 20

**Calculating Limits**

ed 1: 1.4 Number 1-24, 28, 29, 31-37, 43-48

ed 2: 1.4 Number 1-28, 32, 33, 35-38, 41-43

**Continuity**

ed 1: 1.5 Number 3-7, 13-16, 23, 24, 29-33, 35-42

ed 2: 1.5 Number 3-9, 15-18, 25, 26, 31-35, 37, 39-44

In the first two weeks, students should be able to identify the indeterminant limit of type zero/zero and algebraically determine if the limit exists by analytically evaluating whether the limit from the right equals the limit from the left. If the limit of a function f(x) exists at x=a and if that limit is equal to f(a), this should be the accepted (sufficient) definition of continuity. They should be prepared to identify and transition many of these limits as the definition of the derivative of a function at a point or a rate at a given time.

**February 3, 5, 8, 10, 12**

**Limits involving infinity **

ed 1: 1.6 Number 1-5, 9, 10, 13-31, 38, 39, 43, 45

ed 2: 1.6 Number 1-5, 9, 10, 13-33, 40, 41, 47, 49

**Derivatives and rates **

ed 1: 2.1 Number 1-20, 23-37, 41-43

ed 2: 2.1 Number 1-22, 25-30, 43-45

**Derivative as a function **

ed1: 2.2 Number 1-12, 17-23, 27-31, 33, 39, 40

ed2: 2.2 Number 1-12, 19-25, 33-37, 41, 45, 46

**Derivative formulas **

ed 1: 2.3 Number 1-26, 29-44, 49-52

ed 2: 2.3 Number 1-28, 31-46, 51-54

**Products and quotients **

ed 1: 2.4 Number 1-30, 33-36, 41-44, 46, 51, 52

ed 2: 2.4 Number 1-30, 33-36, 41-44, 46, 47, 48

**Chain Rule **

ed 1: 2.5 Number 1-40, 43-50, 57, 58

ed 2: 2.5 Number 1-48, 51, 53-56, 63

By the end of the fourth week, students should have the basic derivative formulas memorized and demonstrate the abilty to apply the product and chain rules when differentiation functions.

**February 15, 17, 19, 22, 24**

Implicit Differentiation

ed 1: 2.6 Number 1-26, 31, 39

ed 2: 2.6 Number 1-28, 33, 43

**Related Rates**

ed 1: 2.7 Number 1-38

ed 2: 2.7 Number 1-31, 33-42

**Linear Approximation**

ed 1: 2.8 Number 1-24

ed 2: 2.8 Number 1-24

**Exponentials, Logs and Inverses**

ed 1: 3.1 Number 7-18, 23-30

ed 1: 3.2 Number 3-26, 31-38, 43-54,59-66, 69-74

ed 2: 3.1 Number 7-18, 23-30

ed 2: 3.2 Number 3-26, 31-34, 43-54, 59-60, 63-68, 71-76

The Inverse Function Theorem should be covered as time permits. It will not be tested on the final exam.

**Derivatives of logs and exponentials**

ed 1: 3.3 Number 1-42, 45-58

ed 2: 3.3 Number 1-46, 51-64

**February 26****Review****March 1****Exam I**

**March 3, 5, 8, 10, 12**

**Inverse trig functions**

ed 1: 3.5 Number 1-10, 16-38

ed 2: 3.5 Number 1-10, 16-38

**Hyperbolic functions**

ed 1: 3.6 Number 1-19, 26-41

ed 2: 3.6 Number 1-19, 26-41

Inverse hyperbolic functions and their derivatives will not be tested on the final exam.

**L'Hopital's Rule**

ed 1: 3.7 Number 1-36, 46

ed 2: 3.7 Number 1-38, 50

**Extrema**

ed 1: 4.1 Number 3-10, 15-48, 64

ed 2: 4.1 Number 3-10, 15-48

**Mean Value Theorem**

ed 1: 4.2 Number 5, 15, 17, 18, 23, 27, 29

ed 2: 4.2 Number 5, 15, 19, 20, 23, 27, 29

The Mean Value Theorem should be covered as time permits. It will not be tested on the final exam.

**March 15, 17, 19, 22, 26, 29**

**Shape of graphs**

ed 1: 4.3 Number 1-10, 13-17, 21-42

ed 2: 4.3 Number 1-12, 15-19, 23-44

**Curve Sketching**

ed 1: 4.4 Number 1-44

ed 2: 4.4 Number 1-44

**Optimization**

ed 1: 4.5 Number 7-17, 23, 46, 48

ed 2: 4.5 Number 9-19, 22, 23, 28, 54, 56

**Newton's Method**

ed 1: 4.6 Number 1, 2, 4-7, 9-12

ed 2: 4.6 Number 1, 2, 4, 6-8, 11-14

**Antiderivatives**

ed 1: 4.7 Number 1-20, 31-37, 46

ed 2: 4.7 Number 1-26, 37-43, 52

Students will be expected to show a clear understanding of the properties of the derivative in each of the applications listed in these weeks.

**March 31, April 2, 5, 7**

**Area and distance**

ed 1: 5.1 Number 1-5, 7-9, 11, 12

ed 2: 5.1 Number 1-5, 9-11, 13, 14

**Definite integral**

ed 1: 5.2 Number 1-4, 7, 9-14, 29-36, 45-47

ed 2: 5.2 Number 1-4, 7, 9-14, 29-36, 47-49

**Evaluating integrals**

ed 1: 5.3 Number 1-32, 45-62

ed 2: 5.3 Number 1-36, 49-66

**Fundamental Theorem of Calculus**

ed 1: 5.4 Number 1-18, 25-28

ed 2: 5.4 Number 1-18, 25-28

**April 9****Review****April 12****Exam 2**

**April 14, 16, 19, 21**ed 1: 5.5 Number 1-50

Substitution

ed 2: 5.5 Number 1-52

**Integration by parts**

ed 1: 6.1 Number 1-28

ed 2: 6.1 Number 1-30

**Trigonometric integrals**

ed 1: 6.2 Number 1-34

ed 2: 6.2 Number 1-34

From Section 6.2, Trigonometric Substitution will not be tested on final exam.

**April 23****Review (last day of class)**

**TBA:**

Final Exam