Pre-Calculus

AIU High School
 
Part I. Functions and Graphs.
Lesson 1: Basic Definitions and Notations.
Lesson 2: Composite and Inverse Functions.
Lesson 3: Transformation of Graph.
Part II. Linear and Absolute Value Functions.
Lesson 4: Linear Equations and Inequalities in one Variable
Lesson 5: Linear Equations and Inequalities with Absolute Value
Lesson 6: Equations of Straight Lines. Parallel and Perpendicular Lines.
Lesson 7: Systems of Linear Equations with three Variables. Determinants of Order 3.
Part III. Polynomial and Rational Functions.
Lesson 8: Roots of Polynomial Equations. The Remainder Theorem.
Lesson 9: Graphing Rational Functions. Zeros and Asymptotes of Graphs.
Part IV. Exponential and Logarithmic Functions.
Lesson 10: Definition and properties of Logarithms.
Lesson 11: Graphs of Exponential and Logarithmic Functions.
Lesson 12: Solving Exponential and Logarithmic Equations. Applications.
Part V. Trigonometry and Applications.
Lesson 13: Angles and their Measure.
Lesson 14: The Trigonometric Functions of an Angle.
Lesson 15: Solving Triangles. The law of Cosines. The law of Sines. Applications.
Lesson 16: The Sine and Cosine Functions. General Trigonometry.
Lesson 17: Trigonometric Equations.


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