Honors Pre-Calculus

Welcome to Honors Pre-Calculus

Here is glimpse of what we will be learning this year. 

Topics of Study

 Functions and Graphs

            Functions and Their Properties

            Twelve Basic Functions

            Building Functions from Functions

            Inverse Relations and Functions

            Graphical Transformations

 

Polynomial, Power, and Rational Functions

            Linear and Quadratic Functions and Modeling

            Polynomial Functions of Higher Degree

            Real Zeros of Polynomial Functions

            Complex Zeros

            Graphs of Rational Functions

            Solving Equations in One Variable

 

Exponential, Logistic, and Logarithmic Functions

            Exponential and Logistic Functions

            Exponential and Logistic Modeling

            Logarithmic Functions and Their Graphs

            Properties of Logarithmic Functions

            Equation Solving and Modeling

            Mathematics in Finance

 

Trigonometric Functions

            Angles and Their Measure

            Trigonometric Functions of Acute Angles

            Trigonometry Extended: The Circular Functions

            Graphs of Sine and Cosine

            Graphs of Tangent

            Inverse Trigonometric Functions

            Solving Problems with Trigonometry

 

Analytic Trigonometry

            Fundamental Identities

            Proving Trigonometric Identities

            Sum and Difference Identities

            Multiple-Angle Identities

            The Law of Sines

            The Law of Cosines

 

Applications of Trigonometry

            Polar Coordinates

            Graphs of Polar Coordinates

 

 

An Introduction to Calculus

            Defining Limits

            Properties of Limits

            Continuity

            One-sided and Two-sided Limits

            Limits Involving Infinity

            Derivatives Using Limits

            Basic Derivative Rules