Calculus Honors
Overview
Study limits, continuity, differentiation, integrated algebraic, trigonometric, and transcendental functions, and the applications of derivatives and integrals.
Major Concepts:
- Review of Function Terminology and More
- Graphing Calculators
- Compositions and Transformations of Functions
- Some Common Functions
- Introduction to Limits
- Properties of Limits
- Limits Involving Infinity
- Continuity
- Applications of Limits
- The Derivative
- Rules of Differentiation
- Trigonometric Derivatives and the Chain Rule
- Inverse Functions
- Exponential and Logarithmic Functions
- Derivatives of Exponential, Logarithmic, and Inverse Trig Functions
- Implicit Differentiation
- Analyzing Functions Part I: Curve Sketching
- Analyzing Functions Part II: Maximums and Minimums
- Applied Maximum and Minimum Problems
- Distance, Velocity, Acceleration, and Rectilinear Motion
- Related Rates
- The Mean-Value Theorem and L’Hôpital’s Rule
- Linearization
- Area Approximation and Riemann Sums
- Introduction to the Definite Integral
- The Fundamental Theorem of Calculus
- Integrals and Antiderivatives
- Integration by Substitution
- The Definite Integral
- Finding the Area Under and Between Curves
- Volume by Discs (Slicing)
- Average Value of a Function and Rectilinear Motion Revisited
- Differential Equations – An Introduction
- Initial Value Problems and Slope Fields
- Numerical Approximation Methods with Integrals
- Exploring the Graphs of f, f Prime, and f Double Prime
- Relative Rates of Growth
- Using Calculus with Data in a Table
- Functions Defined by Integrals
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 Registration. |
Grade Level
Grade 9, 10, 11, 12
Duration
Annual
Requirements
Study Forge – Provided within the course.
Prerequisites
Algebra I, Geometry, Algebra II, & Pre-Calculus or Trigonometry/Analytical Geometry