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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  DoubleAngle and HalfAngle 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
i
n 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 Ex
am  Review
Sections