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This course plan includes a one year course (10 credits) in high school Calculus.  

Topics covered in this AP Calculus AB course include:

  1. Limits, Derivatives, and Integrals
  2. Properties of Limits
  3. Derivatives, Antiderivatives, and Indefinite Integrals
  4. Products, Quotients, and Parametric Functions
  5. Definite and Indefinite Integrals
  6. The Calculus of Exponential and Logarithmic Functions
  7. The Calculus of Growth and Decay
  8. The Calculus of Plane and Solid Figures
  9. Algebraic Calculus Techniques for Elementary Functions
  10. The Calculus of Motion – Averages, Extremes and Vectors

This course prepares the student for the AP(R) Calculus AB exam, which typically gives Calculus I credit at most colleges and universities.  (see each university’s AP policy for credits) Please inform the instructor if your child wishes to take the AP(R) Calculus AB exam.

This course is recommended for students who have achieved one of the following:  a “B” or better in Honors Algebra II/Trigonometry, or successful completion of PreCalculus.  

Students taking this course for Kolbe Core (K) credit are expected to complete daily assignments, periodic exams and quizzes.  Kolbe Honors (H) students will go into more depth and cover more material than the Kolbe Core (K) students.

Assignment due-dates and grades are established by the parent.  Optionally, a student may be enrolled in the Self-Paced Plus© grading assistance program to receive grading assistance from a Kolbe Academy faculty or staff member on designated assignments in the course. In this case, parents will still submit final grades to Kolbe for the course, but may choose to incorporate the graded assignments into the student’s overall grade or use the Kolbe-graded assignments to assist in arriving at the student’s final grade.

  • Calculus: Concepts and Applications, Paul A. Foerster
  • Home Study Companion for Calculus: Concepts and Applications, Math Without Borders (This course companion is optional, but recommended. It is listed under the Algebra 1 “Optional Material” section in the Kolbe Bookstore.)


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Other required material:

  • Programmable graphing calculator, preferably TI-83 or TI-84 model (required)

Note that this is the digital version of the homeschool course plan, which is found in the course’s associated Parent Group.  This course plan is built into the Schoology course for the student. 


Course Details:

Section Number


Grades (Typical)

 11 – 12 (11th, 12th)


Mrs. Bjorgaard

Lecture Format




Subscription Length

1 year

Extension may be granted for an additional fee.

Self-Paced Plus



10 (Math)

Transcript Designation



Alg 2/Trig or Precalculus

Self-Paced Companion Course

Physics or Honors Physics

Online Companion Courses