# Precalculus

1. Course Prerequisites:This course is designed for students who have learned algebra I, algebra II, and geometry or equalint courses and willing to take calculus I.

2. DayTime:WedSat 7:30-8:30pm (Tentative )3. Major Topics to be Covered:

01 Functions, Graphs Continuity, End Behavior, Extrema and Average Rates of Change 02 Parent Functions, Transformations, and Composition of Functions03 Inverse Functions, Power and Radical Functions, Polynomial Functions

04 The Remainder and Factor Theorems, Zeros of Polynomial Functions

05 Rational Functions, Nonlinear Inequalities, Exponential Functions

06 Logarithmic Functions, Properties, Exponential and Logarithmic Equations

07 Right Triangle Trigonometry, Degrees and Radians, The Unit Circle

08 Graphing Trigonometric Functions, Inverse Trigonometric Functions

09 Trigonometric Identities, Solving Trigonometric Equations

10 The law of Sines and The Law of Cosines

11 Multivariable Linear Systems, Matrix Operations, Inverses, and Determina

12 Solving Linear Systems Using Inverses and Cramer’s Rule

13 Parabolas, Ellipses and Circles

14 Hyperbolas, Rotations of Conic Sections

15 Parametric Equations, Introduction to vectors, Dot and Cross Products.

16 Polar Coordinates, Graphs, Polar and Rectangular Forms of Equations

17 Polar Forms of Conic Sections, Complex Numbers and De Moivre’s Theorem

18 Sequences, Series, Arithmetic and Geometric Sequences, Series

19 Mathematical Induction, The Binomial Theorem