Pre-Calculus Honors
Overview
As a mathematical analyst, you will investigate how advanced math concepts can solve problems encountered in operating national parks. This course includes analytical geometry and trigonometry.
Major Concepts:
- Functions and Their Graphs
- Introduction to Function
- Graphs of Function
- Shifting, Reflecting and Stretching Graphs
- Combinations of Functions
- Inverse Functions
- Polynomial and Rational Functions
- Quadratic Functions
- Polynomial Functions of Higher Degree
- Real Zeros of Polynomial Functions
- Complex Numbers
- The Fundamental Theorem of Algebra
- Writing about Polynomials
- Rational Functions and Asymptotes
- Graphs of Rational Functions
- Exponential and Logarithmic Functions
- Exponential Functions and Their Graphs
- Logarithmic Functions and Their Graphs
- Properties of Logarithms
- Solving Exponential and Logarithmic Equations and their Models
- Trigonometric Functions
- Radian and Degree Measure
- Trigonometric Functions: The Unit Circle, Any Angle
- Right Triangle Trigonometry
- Trigonometric Function of Any Angle
- Graphs and Analysis of Sine and Cosine Functions
- Graphs of Other Trigonometric Functions
- Inverse Trigonometric Functions
- Applications and Models
- Analytic Trigonometry
- Using Fundamental Identities
- Verifying Trigonometric Identities
- Solving Trigonometric Equations: Linear, Factored or Quadratic
- Sum and Difference Formulas
- Multiple Angle Formulas
- Additional Topics in Trigonometry
- Laws of Sines and Cosines and Applications
- Vectors in the Plane and 3 Dimensions
- Vectors and Dot Products
- Cross Product of To Vectors
- Complex Numbers in Trigonometric Form and DeMoivre’s Theorem for Roots
- Sequences, Series, and Poof by Induction
- Sequences and Summation Notation
- Arithmetic and Geometric Sequences
- Mathematical Induction
- Topics in Analytic Geometry
- Conic Sections: Parabolas, Ellipses, Hyperbolas
- Conics Collage
- Parametric Equations
- Polar Coordinates and their Graphs
- Limits and Introduction to Calculus
- Introduction to Limits
- Evaluating Limits and One-Sided Limits
- Continuity at a Point
Fee Details
| S.No. | Program Name | Fee Component | Amount (USD) | Description |
|---|---|---|---|---|
| 1. | Honors | Course Fee | $ 425 | To be paid by the student at the time of Enrollment. |
Grade Level
Grade 9, 10, 11, 12
Duration
Annual
Requirements
None
Prerequisites
Algebra I, Geometry, & Algebra II
