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 Functions
03 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