AP Calculus AB: Online Tutoring

1. 01
   Unit 1 Limits and continuity

   • Limits from graphs and tables
   • Algebraic evaluation
   • One-sided limits
   • Continuity
   • The Intermediate Value Theorem
   • Infinite limits and asymptotes
2. 02
   Unit 2 Differentiation

   • Definition and fundamental properties: the derivative as a limit
   • Power rule
   • Product and quotient rules
   • Derivatives of trigonometric functions
3. 03
   Unit 3 Differentiation

   • Composite
   • Implicit and inverse functions: chain rule
   • Implicit differentiation
   • Derivatives of inverse and inverse trigonometric functions
   • Exponentials and logarithms
   • Higher-order derivatives
4. 04
   Unit 4 Contextual applications of differentiation

   • Rectilinear motion
   • Related rates
   • Linearization
   • L’Hôpital’s rule
5. 05
   Unit 5 Analytical applications of differentiation

   • Mean Value Theorem
   • Extreme values
   • Increasing and decreasing intervals
   • Concavity
   • First and second derivative tests
   • Optimization
6. 06
   Unit 6 Integration and accumulation of change

   • Riemann sums
   • Definite integrals
   • The Fundamental Theorem of Calculus
   • Integration techniques including substitution
7. 07
   Unit 7 Differential equations

   • Slope fields
   • Separation of variables
   • Exponential models
8. 08
   Unit 8 Applications of integration

   • Average value
   • Motion
   • Area between curves
   • Volumes with known cross sections
   • Volumes of revolution

Best for: Students aiming for an AP score of 4-5 for college credit.

What is AP Calculus AB?

AP Calculus AB is a College Board course equal to a first-semester college calculus course. It has eight units covering limits, differentiation, integration and differential equations.

What do I need before taking AP Calculus AB?

Students need a strong pre-calculus background: functions, trigonometry, exponents and logarithms.

Are the online AP Calculus AB classes one-to-one, or do I have to join a group?

Classes are live and one-to-one with Janvi Mam, Ph.D., on Zoom or Google Meet, so you never have to join a group or share the class with other students. If you prefer to study with a friend, small-group sessions of 2-3 students in the same course are available at a reduced per-student rate.

What are the benefits of one-to-one AP Calculus AB tutoring?

The lesson follows your own pace and gaps instead of a class average. Every minute goes to your questions, so you can ask anything without worrying about others. Weak topics are spotted and fixed quickly, and the plan can be matched to your school tests and exams.

Can classes fit my time zone?

Yes. Timings are arranged for students in Eastern, Central, Mountain and Pacific time, so you can ask for a slot that works after school or at the weekend.

Can I try a class before I commit?

Yes. You can book a free demo class, meet the teacher and see how the class runs before deciding.