Calculus Honors

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
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

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