This course covers topics in accelerated precalculus, focusing on rational functions, systems of linear equations, matrices, trigonometric functions, inverse trigonometric functions, polar coordinates, vectors, complex numbers, conic sections, and parametric equations. The course aims to help students develop skills in graphing functions, solving systems of equations, manipulating matrices, understanding trigonometric identities, working with vectors, and analyzing conic sections. The teaching method includes lectures, problem-solving sessions, and practice exercises. The intended audience for this course is students looking to strengthen their precalculus skills in a fast-paced environment.
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
