MATH 142

Course Description:  In preparation for calculus this is a comprehensive study of trigonometry, circular functions, right triangle trigonometry, analytical trigonometry. Sequences, series and induction are also covered.

 

Textbook: Abed, S., Farag, S., Lane, S., Wallace, T., Whitney, B. (2013). Pre-Calculus 141 & 142: 4^th Ed.

 

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Unit 1: Triangles and Circles

·         5.1 Angles

·         5.2 Right Triangle Trigonometry

·         5.3a Law of Sines

·         5.3b Law of Cosines

·         5.4 Points on a Circle

·         5.5a Other Trig Functions

Unit 2: Foundational Trig Identities

·         5.5b Introduction to Identities

·         5.6a Graph of Sine and Cosine

·         5.6b Graph of tan, cot, sec, csc

·         5.7 Inverse Trig Functions

·         6.1 Solve Trig Equations

·         6.2 Modeling with Trig Functions

Unit 3: More Trig Identities

·         6.3 Solving Trig Equations with Identities

·         6.4a.i Deriving Addition, Subtraction, Product to Sum, and Sum to Product Identities

·         6.4a.ii Addition, Subtraction, Product to Sum, and Sum to Product Identities

·         6.4b Using Identities

·         6.5.i Deriving Double and Half Angle Identities

·         6.5.ii Double and Half Angle Identities

·         6.6a Review Trig Equations

·         6.6b Review Trig Proofs

Unit 4: Other PreCalc Topics

·         7.1 Polar Coordinates

·         7.2 Polar Form of Complex Numbers

·         7.3 DeMoivre’s Theorem

·         8.1 Sequences

·         8.2 Series

·         8.3 Arithmetic Series

·         8.4 Geometric Series

·         8.5 Induction