BRONX COMMUNITY COLLEGE

of the City University of New York


DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE


SYLLABUS: MTH 30 - Precalculus (4 Credits - 4 Hours per week)


Prerequisite: MTH 06 or equivalent


TEXT: Precalculus Essentials (Third Edition) by Robert E. Blitzer, Prentice-Hall

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SECTION TOPIC SUGGESTED EXERCISES


Functions and Graphs


1.2 Basics of Functions and their Graphs 159/ 11-31 (odd), 45, 47, 53 -57, 71,

72, 75, 76

1.3 More on Functions and their Graphs 173/ 11, 15, 17, 23, 69-76, 81

1.6 Transformations of Functions 216/ 1-87 (odd)

l.7 Combinations of Functions; 229/ 5-11, 17-33, 49-57, 81-88

Composite Functions

1.8 Inverse Functions 240/ 1-5, 11-25, 29-37


Polynomial and Rational Functions


2.2 Quadratic Functions 298/ 9-55 (odd)

2.3 Polynomial Functions and

Their Graphs 312/ 3-7, 15-20, 21, 25, 27-33, 37, 39, 41-47

    1. Dividing Polynomials;

Remainder and Factor Theorems 324/ 13, 15, 17-25, 33-41

2.5 Zeroes of Polynomial Functions 335/ 1-17, 19, 21, 23, 25-31 (odd)

2.6 Rational Functions and

Their graphs 354/ 1-7, 9-14, 21-35, 37, 41, 49, 55, 63

2.7 Polynomial and Rational Inequalities 366/1-23 (odd), 43-45, 55-57, 69, 70

Exponential and Logarithmic Functions


3.1 Exponential Functions 396/ 11-17, 19-24, 25-31, 35-37, 41, 43

3.2 Logarithmic Functions 410/ 1-29, 43, 44, 47-53, 55, 59, 63, 71,

75-79, 81-89

3.3 Properties of Logarithms 421/ 1-27, 35, 37, 41-57, 67, 71-77

    1. Exponential and Logarithmic

Equations 432/1-21, 27-43, 49-57, 67-69, 85, 87





Trigonometric Functions


4.1 Angles and Radian Measure 472/1-10, 13-28, 41-56, 60-63

    1. Trigonometric Functions:

The Unit Circle 486/ 1-55

4.3 Right Triangle Trigonometry 498/ 3-15, 21-31

4.4 Trigonometric Functions of

Any Angle 513/1-21, 23-27, 35-43, 61-73

4.5 Graphs of Sine and Cosine Functions 533/1-25 (odd), 43-49

4.7 Inverse Trigonometric Functions 563/ 1-11, 19-41, 47-53, 63-67


Analytic Trigonometry


5.1 Verifying Trigonometric Identities 594/ 1-35

5.2 Sum and Difference Formulas 603/ 1, 3, 5, 13, 15, 21, 23, 33, 35

5.5 Trigonometric Equations 636/ 11, 15, 19, 25, 39, 41, 57, 59




11/09 (JP)