# Math 0220 Schedule and Practice Problems

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

Substitution
ed 1: 5.5 Number 1-50
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