Introduction to College Mathematics for Business/Social
Text: College Algebra and Trigonometry 3rd Edition,
Author: M. Dugopolski
Publisher: Addison Wesley
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 Exponents and Scientific Notation
P.3 Rational Exponents and Radicals
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
1.6 Quadratic Equations
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
3.1 Quadratic Functions and Inequalities
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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