Mathematics Department
Indiana University of Pennsylvania
Indiana, PA 15705

Course Number: MA 110

Course Title: Elementary Functions

Credits: 3 semester hours

Prerequisites: student may not have successfully completed a calculus course

Textbook: Precalculus: Mathematics for Calculus, 3rd ed. by Stewart, Redlin, Watson; Brooks/Cole

Revised: 8/98

Catalog Description:
For students not prepared to begin the study of calculus; topics include polynomial, exponential, logarithmic, and trigonometric functions.

Course Outline/Time Schedule:

1. Fundamentals

Recall the TI-92 is required in MA 123/124, and students taking this course will be taking that calculus sequence. You might want to go over 1.1 so students know the difference between exact answers and approximate answers.

1.7 Inequalities (includes nonlinear inequalities)
1.8 Coordinate Geometry
1.9 Graphing Calculators and Computers
1.10 Lines

2.1 What is a Function?
2.2 Graphs of Functions
2.3 Applied Functions
2.4 Transformations of Functions
2.5 Extreme Values of Functions
Note : Distinguish between an extreme value and where it occurs.
2.6 Combining Functions
2.7 One to One Functions and Their Inverses
Focus on Problem Solving : Principles of Modeling
This is a good chance to do some work with the calculator.

3.1 Polynomial Functions and Their Graphs
Get students aware of the shapes of various polynomial graphs
3.2 Real Zeros of Polynomials
Remainder and Factor Theorems, and Upper and Lower Bound Theorem only (for choosing appropriate viewing windows).
3.5 Rational Functions
Note : Oblique asymptotes are optional

4.1 Exponential Functions
4.2 The Natural Exponential Function
4.3 Logarithmic Functions
4.4 Laws of Logarithms
4.5 Exponential and Logarithmic Equations
4.6 Applications of Exponential/Logarithmic Functions
Focus on Modeling

5.1 The Unit Circle
5.2 Trigonometric Functions of Real Numbers
5.3 Trigonometric Graphs
5.4 More Trigonometric Graphs (Optional)
Focus on Modeling

6.1 Angle Measure
6.2 Trigonometry of Right Angles
6.3 Trigonometric Functions of Angles
6.4 The Law of Sines (Optional)
6.5 The Law of Cosines (Optional)

7.1 Trigonometric Identities
7.2 Addition and Subtraction Formulas
7.3 Double-Angle, Half-Angle and Product-Sum Formulas
7.4 Inverse Trigonometric Functions
7.5 Trigonometric Equations

Suggested Problem Assignments for MA 110
To Accompany Mathematics for Calculus, 3rd ed., by Stewart, Redlin, and Watson.

1.7: 15-61 odd
1.8: 2, 5, 7, 11, 13, 17, 19, 21, 25, 30, 33, 34, 39, 41, 45, 46, 47, 48, 52, 53, 57, 58, 59,
60, 61, 62, 63, 65, 67, 69, 71, 74, 75, 82
1.9: 9, 11, 17, 19, 21, 23-27, 29, 30, 31
1.10: 1, 3, 7, 9-13, 17, 21, 23, 25, 27, 29, 41, 47, 53, 56, 57, 59, 61, 63, 65
2.1: 1-8, 11, 13, 15, 17, 19, 21, 25, 28, 29, 30, 31, 33, 37, 39, 41, 43, 47, 49
2.2: 1-12, 13, 15, 17, 21, 25, 27, 31, 33, 35, 43, 47, 55, 57, 58, 59, 63, 69, 71, 73
2.3 : 1, 3, 5, 7, 9, 13, 15, 16, 17, 19, 21, 23, 26, 28, 30, 31, 35, 39, 43, 45, 46, 48, 49, 50
2.4: 1-5, 7, 9, 10, 11, 15-27 (odd), 33, 34, 35, 37, 43, 45, 47, 49
2.5: 1, 5, 7, 9, 13, 15, 17, 19, 23, 25, 29, 31, 33, 35, 41, 47, 49, 51, 53, 55, 56, 58, 59, 62
2.6: 1, 3, 5, 8-11, 15, 17, 19, 21, 23, 25, 29, 33, 37, 39, 43, 45
2.7: 1-13, 15, 16, 17, 21, 23, 29, 31, 33, 45-48, 53
Principles of Modeling (page 216): 1, 5, 9
3.1: 1, 2, 5, 9, 11, 13, 15 ,17, 19, 21, 27-30, 33, 37, 39, 41, 43, 63, 67
3.2: 25, 27, 35, 37, 39, 41, 43
3.5: 1, 3, 5, 9, 16, 21, 25, 29, 55, 59, 63, 65, 66
4.1: 3, 9, 11, 13, 15-20, 23, 25, 35, 37, 41, 43, 47, 48
4.2: 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25, 27, 29, 32, 42, 44, 45, 46
4.3: 1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 21, 21, 27, 33-42, 45, 47, 51, 53, 55, 57, 61, 65, 67, 68
4.4: 1, 5, 9, 13, 17, 21, 25, 26, 27, 29, 31, 35, 39, 41, 45, 47, 53
4.5: 1, 3, 9, 15, 19, 21, 23, 27, 31, 33, 37, 39, 41, 45, 53, 55, 57, 61, 65, 70
4.6 : 9, 11, 13, 15, 21, 25, 27, 30, 33, 35, 40, 41, 47
Focus on Modeling (page 347): 1, 2, 4, 6
5.1 : 1-35 (odd), 39, 43, 45
5.2: 1-19 (odd), 25, 27, 31, 35-47 (odd), 51, 53, 61, 63, 65, 71, 75
5.3: 3, 5, 7, 9, 13, 17, 19, 25, 32, 33-38, 39, 41, 49, 51, 55, 59, 61, 69
5.4: Optional
Focus on Modeling (page 401): 1, 3, 6, 11
6.1: 3, 8, 11, 13, 19, 21, 23, 29, 49, 51, 53, 55, 59
6.2: 3, 8, 9, 11, 13, 14, 15, 17, 21, 23, 24, 29, 33, 35, 39, 43, 51, 52
6.3: 1, 4, 7, 9, 13, 15, 17, 22, 25, 31-35, 39, 43, 47, 51
6.4: Optional
6.5: Optional
7.1: 1, 7, 15, 17, 31, 35, 43, 44, 45, 47, 83, 85, 87, 93, 95
7.2: 1, 5, 7, 15-19, 23, 24
7.3: 1, 3, 5, 13, 17, 19, 24, 25, 71, 72, 75
7.4: 1, 3, 5, 8, 11, 15, 17, 19, 27, 29, 33, 39, 41
7.5: 1, 3, 5, 9, 15, 19, 31, 47, 50, 51, 55, 63, 67