Accelerate through a comprehensive precalculus course covering advanced mathematical concepts in 14 hours. Explore topics including rational functions, systems of linear equations, matrices, determinants, trigonometric functions, inverse trigonometric functions, polar coordinates, vectors, conics, and parametric equations. Master techniques such as partial fraction decomposition, trigonometric identities, and the laws of sines and cosines. Develop a strong foundation in complex mathematical principles essential for higher-level mathematics and calculus.
Overview
Syllabus
4.3 part 1 - The Graph of a Rational Function.
11.1 part 1 - Systems of Linear Equations: Substitution and Elimination.
11.1 part 2 - Systems of Linear Equations: Substitution and Elimination.
11.2 part 1 - Systems of Linear Equations: Matrices.
11.2 part 2 - Systems of Linear Equations: Matrices.
11.3 - Systems of Linear Equations: Determinants.
11.4 part 1 - Matrix Algebra.
11.4 part 2 - Matrix Algebra.
11.5 part 1 - Partial Fraction Decomposition.
11.5 part 2 - Partial Fraction Decomposition.
11.6 - Systems of Nonlinear Equations.
11.7 - Systems of Inequalities.
6.1 part 1 - Angles and Their Measure.
6.1 part 2 - Angles and Their Measure.
6.2 part 1 - Trigonometric Functions: Unit Circle Approach.
6.2 part 2 - Trigonometric Functions: Unit Circle Approach.
6.3 part 1 - Properties of the Trigonometric Functions.
6.3 part 2 - Properties of the Trigonometric Functions.
6.3 part 3 - Properties of the Trigonometric Functions.
6.3 part 4 - Properties of the Trigonometric Functions.
6.4 - Graphs of the Sine and Cosine Functions.
6.5 - Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions.
6.6 - Phase Shift; Sinusoidal Curve Fitting.
7.1 part 1 - The Inverse Sine, Cosine, and Tangent Functions.
7.1 part 2 - The Inverse Sine, Cosine, and Tangent Functions.
7.2 - The Inverse Trigonometric Functions (Continued).
7.3 - Trigonometric Equations.
7.4 - Trigonometric Identities.
7.5 - Sum and Difference Formulas.
7.6 - Double-angle and Half-angle Formulas.
7.7 - Product-to-Sum and Sum-to-Product Formulas.
8.1 - Right Triangle Trigonometry; Applications.
8.2 part 1 - The Law of Sines.
8.2 part 2 - The Law of Sines.
8.3 - The Law of Cosines.
8.4 - Area of a Triangle.
9.1 - Polar Coordinates.
9.2 part 1 - Polar Equations and Graphs.
9.2 part 2 - Polar Equations and Graphs.
9.3 part 1 - The Complex Plane; DeMoivre’s Theorem.
9.3 part 2 - The Complex Plane; DeMoivre’s Theorem.
9.4 part 1 - Vectors.
9.4 part 2 - Vectors.
9.4 part 3 - Vectors.
9.5 part 1 - The Dot Product.
9.5 part 2 - The Dot Product.
9.6 part 1 - Vectors in Space.
9.6 part 2 - Vectors in Space.
9.7 part 1 - The Cross Product.
9.7 part 2 - The Cross Product.
10.1 - Conics & 10.2 part 1 - The Parabola.
10.2 part 2 - The Parabola.
10.3 part 1 - The Ellipse.
10.3 part 2 - The Ellipse.
10.3 part 3 - The Ellipse.
10.4 part 1 - The Hyperbola.
10.4 part 2 - The Hyperbola.
10.7 - Plane Curves and Parametric Equations.
Taught by
Kamuela Yong
