| Mahnesmith, Victor / Pre-Calculus / Grade 12 / High School |
Month
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Content
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August/
September |
Analytic Trigonometry
Inverse Trigonometric Functions, Trigonometric Identities, Sum and Difference Formulas, Double Angle Formulas, Half-Angle Formulas, Product-to-Sum Formulas, Sum-to-Product Formulas, Trigonometric Equations |
October |
Applications of Trigonometric Functions
Right Triangle Trigonometry, Law of Sines, Law of Cosines, The Area of a Triangle, Simple Harmonic Motion |
November/
December |
Polar Coordinates; Vectors
Polar Coordinates, Polar Equations and Graphs, The Complex Plane, Vectors, Dot Product |
January/
February |
Analytic Geometry
Conics, Parabola, Ellipse, Circle, Hyperbola, Polar Equations of Conics, Plane Curves and Parametric Equations |
February/
March |
Sequences; Induction
Sequences, Arithmetic Sequences, Geometric Sequences, Mathematical Induction |
March/
April |
Counting and Probability
Sets and Counting, Permutations, Combinations, Probability |
April |
Limits
Finding Limits, Continuity, One-sided Limits, Infinite Limits |
| May |
Introduction to Derivatives
The Derivative and Tangent Line Problem, Basic Differentiation Rules, Rates of Change, Product Rule, Quotient Rule, Higher Order Derivatives, Chain Rule, Implicit Differentiation |
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