AP Calculus AB (Part 1) | Grade 9+

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What You Will Learn

Students will master the following components of AP Calculus AB (Part 1):  Limits and Continuity, Differentiation, Basic Derivatives, Rate of Change, Implicit Differentiation. Part 2 of this course will start in Fall 2021.

Keywords: AP Calculus AB, Math


Design For 

Grade 9+ 

Math courses are level-based, not grade-based. For example, a very smart student can take any course as long as the prerequisites are met!



Passed Pre-Calculus with a grade of C- or better



Course Overview

4 - 8



hours per class

Eastern Time

Friday, Saturday

3:45 - 5:45 p.m. ET 

Pacific Time

Friday, Saturday

12:15 - 2:15 p.m. PT

18 classes / meet twice a week
 6/25/2021- 8/21/2021 
6/25, 6/26, 7/2,
7/3, 7/9, 7/10,
7/16, 7/17,7/23,
7/24, 7/30, 7/31,
8/6, 8/7, 8/13, 8/14, 8/20, 8/21




Course Schedule

Note: The instructor will adjust the speed and amount of content covered depending on the needs of the students. The goal is to make sure that students are proficient in all areas covered – quality over quantity.

Day 1. Concept of instantaneous rate of change

Day 2. Understanding limits graphically and numerically

Day 3. Properties of Limits

Day 4. Finding limits by analytic methods

Day 5. Limits of transcendental functions

Day 6. Limits and Continuity

Day 7. Infinite limits and limits of infinity

Day 8. Intermediate Value Theorem

Day 9. Rates of change and the tangent line problem

Day 10. Tangent Lines and the Derivative

Day 11. Understanding the derivative and linear approximations

Day 12. Differentiability and Continuity

Day 13. Basic Differentiation Rules

Day 14. Velocity and other rates of change

Day 15. The chain rule

Day 16. Symbolic differentiation

Day 17. Implicit differentiation

Day 18. Derivative of inverse functions


*Prepare your own materials

  • graphing calculator
  • notebook
  • writing instruments
  • highlighter
All content materials will be provided by the instructor and will be uploaded to google classroom. Students must have the week’s material printed out before the start of class.



 Ruth L.


I’m not your ordinary middle school or high school math teacher. I’m a “mathemagician.” I can transform your students from hating math to loving it.
I surprise my students, using my juggling, sewing, and knitting skills to explain challenging math concepts, such as graphing, proportions, and patterns. Math is not hard when you apply it to real-world situations.
As a high school math teacher for 25 years, I’ve taught all levels from algebra to AP calculus.
I’m a “master teacher,” who trains college student teacher interns. 
I speak five dialects, read and write Chinese, and have a passion for global travel. For 13 consecutive years, I’ve led a highly successful global travel program, taking students to China, Japan, Korea, France, Germany, and Switzerland. I created a mentorship program for retired professionals to tutor and mentor at-risk students, consistently bringing grades from D’s and F’s to A’s and B’s. My students often come from at-risk, low-income families yet have gone on to study at Harvard, Stanford, UC Berkeley, UCLA, and Georgetown University to name a few.