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ATHENA PREPARATORY

Private High School Education & College Preparation

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AP Calculus

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Because we are a private high school, we don’t believe in teaching to the test. Instead, we teach students the information they need to learn and give them the freedom needed to think critically, analytically, and mathematically. In this way, we teach advanced calculus to our students in Lodi in such a way that they are able to take the Advanced Placement (AP) Calculus test at the end of the year, earning college credit and gaining the knowledge they will keep with them for years.

Our Calculus Coursework:

Functions

  • Properties
  • Operations with Functions
  • Inverses
  • Even and Odd Functions
  • Periodic Functions
  • Roots and Zeros

Limits

  • Properties
  • Limits on One Side
  • Infinite Limits
  • Nonexistent Limits

Continuity

  • Definition and Use

Differentials

  • Explicit and Implicit
  • High Orders
  • Application of Inverses
  • Rules and Theorems
  • Applications in Graphing
  • Applications in Optimization

Integrals

  • Indefinite and Definite
  • Substitution and by Parts
  • Practical Applications
  • Volumes (With Different Methods)