Pre-calculus – Fall
Prerequisites
Solving equations and inequalities in one variable (graphically and algebraically)
Straight Lines (Slope Intercept Form, Two-Point Form, Parallel Lines and Perpendicular Lines)
Application of Linear Equations
Functions and Graphs
Modeling and Equation Solving
Functions and Their Properties
Twelve Basic Functions
Building Functions from Functions
Parametric Relations and Inverses
Graphical Transformations
Modeling with Functions
Polynomial, Power, and Rational Functions
Linear and Quadratic Functions and Modeling
Power Functions with Modeling
Polynomial Functions of Higher Degree
Real Zeros and Complex Zeros
Fundamental Theorem of Algebra
Graphs of Rational Functions
Equations with extraneous solution
Exponential, Logistic, and Logarithmic Functions
Exponential, Logistic, and Logarithmic Functions
Exponential and Logistic Modeling
Logarithmic Functions and Their Graphs
Properties of Logarithmic Functions
Equation Solving and Modeling
Math of Finance
Systems and Matrices
Solving systems of 2 and 3 equations algebraically
Matrix Algebra
Multivariate Linear Systems and Row Operations
PreCalculus – Spring
Trigonometric Functions
Angles and Their Measures
Trigonometric Functions of Acute Angles
Circular Functions
Graphs of Trigonometric Functions
Inverse Trigonometric Functions
Right Triangle Problem
Analytic Trigonometry
Fundamental Identities
Proving Identities
Sum and Difference
Multiple Angle Identities
Sine and Cosine Law
Applications of Trigonometry
Vectors in Plane
Dot Product
Polar Coordinates
Graphs of Polar Equations
De Moivre’s Theorem
Analytic Geometry in 2 or 3 Dimensions
Conic Sections
Circle, Parabola, Ellipse, and Hyperbola
Discrete Math
Binomial Theorem
Basic Combinatorics
Sequences and Series
Mathematical Induction
Calculus Review – Limits of a Function and Derivative