# Introduction to College Mathematics for Business/Social

Text: College Algebra and Trigonometry 3rd Edition, Author: M. Dugopolski
A study of functions and their graphs, with application to business and the social sciences (including linear and
polynomial
functions, zeroes, inverse functions exponential, logarithmic and trigonometric functions and their
inverses); counting (including elementary probability); and arithmetic/geometric progression.

Prerequisites and Algebraic Notation
P.1 Real Numbers and Their Properties
P.2 Integral Exp onents and Scientific Notation
P.4 Polynomials
P.5 Factoring Polynomials
P.6 Rational Expressions

Equations, Inequalities, and Modeling
1.1 Equations in One Variable
1.3 Equations and Graphs in Two Variables
1.4 Linear Equations in Two Variables
1.7 Linear and Absolute Value Inequalities

Functions and Graphs
2.1 Functions
2.2 Graphs of Relations and Functions
2.3 Families of Functions, Transformations, and Symmetry
2.4 Operations with Functions
2.5 Inverse Functions
2.6 Constructing Functions with Variation

Polynomial and Rational Functions
3.2 Complex Number
3.3 Zeros of Polynomial Functions
3.6 Graphs of Polynomial Functions
3.7 Rational Functions and Inequalities

Exponential and Logarithmic Functions
4.1 Exponential Functions and Their Applications
4.2 Logarithmic Functions and Their Applications
The Trigonometric Functions
5.1 Angles and Their Measurements
5.2 The Sine and Cosine Functions
5.3 The Graphs of the Sine and Cosine Functions

Trigonometric Identities and Conditional Equations
6.1 Basic Identities
Systems of Equations and Inequalities
8.1 Systems of Linear Equations in Two Variables
8.2 Systems of Linear Equations in Three Variables

The Conic Sections
10.1 The Parabola
10.2 The Ellipse and the Circle
10.3 The Hyperbola

Sequences, Series, and Probability
11.1 Arithmetic Sequences
11.2 Arithmetic Series
11.3 Geometric Sequences and Series
11.4 Counting and Permutations
11.5 Combinations and the Binomial Theorem
11.6 Elementary Probability

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