Est. 2007
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MATH A170 - PRECALCULUS



SYLLABUS
Spring 2019 - Syllabus




TEXTBOOK


HANDOUTS
Section 1.1 - Equations in One Variable
Section 1.2 - Constructing Models to Solve Problems
Section 1.3 - Equations and Graphs in Two Variables
Section 1.4 - Linear Equations in Two Variables
Section 1.6 - Complex Numbers
Section 1.7 - Quadratic Equations
Section 1.8 - Linear and Absolute Value Inequalities

Section 2.1 - Functions
Section 2.2 - Graphs of Relations and Functions
Section 2.3 - Families of Functions, Transformations, and Symmetry
Section 2.4 - Operations with Functions
Section 2.5 - Inverse Functions

Section 3.1 - Quadratic Functions and Inequalities
Section 3.2 - Zeroes of Polynomial Functions
Section 3.3 - The Theory of Equations
Section 3.4 - Miscellaneous Equations
Section 3.5 - Graphs of Polynomial Functions
Section 3.6 - Rational Functions and Inequalities

Section 4.1 - Exponential Functions and Their Applications
Section 4.2 - Logarithmic Functions and Their Applications
Section 4.3 - Rules of Logarithms
Section 4.4 - More Equations and Applications

Section 5.1 - Angles and Their Measurements
Section 5.2 - The Sine and Cosine Functions
Section 5.3 - The Graphs of the Sine and Cosine Functions
Section 5.4 - The Other Trigonometric Functions and Their Graphs
Section 5.5 - The Inverse Trigonometric Functions
Section 5.6 - Right Triangle Trigonometry

Section 6.1 - Basic Identities
Section 6.2 - Verifying Identities
Section 6.3 - Sum and Difference Identities
Section 6.4 - Double-Angle and Half-Angle Identities
Section 6.6 - Conditional Trigonometric Equations

Section 7.1 - The Law of Sines
Section 7.2 - The Law of Cosines
Section 7.3 - Vectors
Section 7.6 - Polar Equations
Section 7.7 - Parametric Equations

Section 8.1 - Systems of Linear Equations in Two Variables
Section 8.2 - Systems of Linear Equations in Three Variables
Section 8.3 - Nonlinear Systems of Equations

Section 9.1 - Solving Linear Systems Using Matrices
Section 9.2 - Operations with Matrices
Section 9.3 - Multiplication of Matrices
Section 9.4 - Inverses of Matrices
Section 9.5 - Solution of Linear Systems in Two Variables Using
Determinants
Section 9.6 - Solution of Linear Systems in Three Variables Using
Determinants

Section 10.1 - The Parabola
Section 10.2 - The Ellipse and the Circle
Section 10.3 - The Hyperbola

Section 11.1 - Sequences
Section 11.2 - Series
Section 11.3 - Geometric Sequences and Series
Section 11.5 - Combinations, Labeling, and the Binomial Theorem
Section 11.7 - Mathematical Induction



EXAM REVIEWS
Exam 2 - Review
Exam 3 - Review
Exam 4 - Review
Final Exam - Review Sections