Calculus Honors


Study limits, continuity, differentiation, integrated algebraic, trigonometric, and transcendental functions, and the applications of derivatives and integrals.



  • Introduction to Calculus
  • Graphing Calculators
  • Compositions and Transformations of Functions
  • Some Common Functions

Limits and Continuity

  • 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

Applications of Derivatives

  • Analyzing Functions: Curve Sketching
  • Analyzing Functions: Maximums and Minimums
  • Distance, Velocity, Acceleration, and Rectilinear Motion
  • Related Rates
  • The Mean-Value Theorem and L’Hôpital’s Rule
  • Linearization


  • Area Approximation and Riemann Sums
  • Introductions to the Definite Integrals
  • The Fundamental Theorem of Calculus
  • Integrals and Antiderivatives
  • Integration by Substitution
  • The Definite Integral

Applications of Integrals

  • Finding the Area Under and Between Curves
  • Volume by Discs (Slicing)
  • Average Value of a Function and Rectilinear Motion Revisited

Differential Equations and More Riemann Sums

  • Introduction
  • Initial Value Problems and Slope Fields
  • Numerical Approximation Methods with Integrals

Supplemental Topics

  • 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 Integral

Fee Details

Progam Honors  Honors 
Fee Component  Course Fee External Material Resource Fee
Amount (USD)  $ 583  $ 20 
Description To be paid by the student at the time of Enrollment.

Grade Level

Grade 9, 10, 11, 12




  • Graphing Calculator 
  • Study Forge – Provided within the course


Algebra I, Geometry, Algebra II, & Pre-Calculus or Trigonometry/Analytical Geometry

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