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Calculus Summer Preparation

SAT Score Range

•

22 sessions

•

About

This tutoring series will give you an introduction to calc bc topics, so you walk into class knowing a little bit of everything, think of it as a head start.

Tutored by

Sai C 🇺🇸

Certified in 3 topics

View Profile

I just graduated high school from Katy Texas. I can comfortably teach AP Calculus BC 1 with no issues. I like to hang out with friends and bike around in my free time.

Schedule

✋ ATTENDANCE POLICY

If you can't make a session, message me 12 hours before.

SESSION 1

9

Jul

SESSION 1

AP Calculus

AP Calculus

Wed 12:15 AM - 12:45 AM UTCJul 9, 12:15 AM - 12:45 AM UTC

Today, we will just introduce ourselves and go over the syllabus and what to expect.
SESSION 2

11

Jul

SESSION 2

AP Calculus

AP Calculus

Fri 11:00 PM - Sat, 12:00 AM UTCJul 11, 11:00 PM - Jul 12, 12:00 AM UTC

Today we will go over some basic precalculus rules so we don't get confused later on. If we work really fast, we can start on actual Calculus.
SESSION 3

15

Jul

SESSION 3

AP Calculus

AP Calculus

Tue 11:00 PM - Wed, 12:00 AM UTCJul 15, 11:00 PM - Jul 16, 12:00 AM UTC

Explore the concept of a limit, continuity, the Intermediate Value Theorem, limits at infinity, and asymptotic behavior.
SESSION 4

17

Jul

SESSION 4

AP Calculus

AP Calculus

Thu 11:00 PM - Fri, 12:00 AM UTCJul 17, 11:00 PM - Jul 18, 12:00 AM UTC

Practice evaluating limits algebraically and graphically; continuity from graphs and equations; and justifying IVT conditions.
SESSION 5

22

Jul

SESSION 5

AP Calculus

AP Calculus

Tue 11:00 PM - Wed, 12:00 AM UTCJul 22, 11:00 PM - Jul 23, 12:00 AM UTC

Learn the formal definition of a derivative, differentiability vs. continuity, and basic differentiation rules (power, sum, product, quotient).
SESSION 6

24

Jul

SESSION 6

AP Calculus

AP Calculus

Thu 11:00 PM - Fri, 12:00 AM UTCJul 24, 11:00 PM - Jul 25, 12:00 AM UTC

Practice computing derivatives from first principles and using rules; interpreting derivative as slope/rate of change.
SESSION 7

29

Jul

SESSION 7

AP Calculus

AP Calculus

Tue 11:00 PM - Wed, 12:00 AM UTCJul 29, 11:00 PM - Jul 30, 12:00 AM UTC

Apply chain rule, implicit differentiation, including exponential, logarithmic, and trigonometric functions.
SESSION 8

31

Jul

SESSION 8

AP Calculus

AP Calculus

Thu 11:00 PM - Fri, 12:00 AM UTCJul 31, 11:00 PM - Aug 1, 12:00 AM UTC

Practice chain rule-heavy problems, implicit differentiation steps, and derivative of inverse function evaluations (e.g., arcsin, ln, e^x).
SESSION 9

5

Aug

SESSION 9

AP Calculus

AP Calculus

Tue 11:00 PM - Wed, 12:00 AM UTCAug 5, 11:00 PM - Aug 6, 12:00 AM UTC

Analyze motion problems, related rates, Mean Value Theorem, and how to interpret and justify function behavior using first and second derivatives.
SESSION 10

7

Aug

SESSION 10

AP Calculus

AP Calculus

Thu 11:00 PM - Fri, 12:00 AM UTCAug 7, 11:00 PM - Aug 8, 12:00 AM UTC

Practice solving real-world related rates and optimization problems; MVT justifications; curve sketching from derivatives.
SESSION 11

12

Aug

SESSION 11

AP Calculus

AP Calculus

Tue 11:00 PM - Wed, 12:00 AM UTCAug 12, 11:00 PM - Aug 13, 12:00 AM UTC

Study critical points, local/absolute extrema, concavity, inflection points, optimization, and using derivatives for sketching graphs.
SESSION 12

14

Aug

SESSION 12

AP Calculus

AP Calculus

Thu 11:00 PM - Fri, 12:00 AM UTCAug 14, 11:00 PM - Aug 15, 12:00 AM UTC

Practice finding extrema, using first/second derivative tests, solving optimization word problems, and sketching from f', f''.
SESSION 13

19

Aug

SESSION 13

AP Calculus

AP Calculus

Tue 11:00 PM - Wed, 12:00 AM UTCAug 19, 11:00 PM - Aug 20, 12:00 AM UTC

Introduce antiderivatives, definite/indefinite integrals, area under a curve, u-substitution, and the Fundamental Theorem of Calculus. (Inverse functions derivatives as well)
SESSION 14

21

Aug

SESSION 14

AP Calculus

AP Calculus

Thu 11:00 PM - Fri, 12:00 AM UTCAug 21, 11:00 PM - Aug 22, 12:00 AM UTC

Practice calculating integrals, interpreting accumulation functions, applying FTC parts 1 & 2, and solving u-substitution problems.
SESSION 15

26

Aug

SESSION 15

AP Calculus

AP Calculus

Tue 11:00 PM - Wed, 12:00 AM UTCAug 26, 11:00 PM - Aug 27, 12:00 AM UTC

Examine slope fields, separable differential equations, general vs. particular solutions, and exponential/logistic models.
SESSION 16

28

Aug

SESSION 16

AP Calculus

AP Calculus

Thu 11:00 PM - Fri, 12:00 AM UTCAug 28, 11:00 PM - Aug 29, 12:00 AM UTC

Practice drawing slope fields, solving separable DEs, interpreting population growth models, and initial condition problems.
SESSION 17

2

Sep

SESSION 17

AP Calculus

AP Calculus

Tue 11:00 PM - Wed, 12:00 AM UTCSep 2, 11:00 PM - Sep 3, 12:00 AM UTC

Learn to calculate area between curves, volume using the disk/washer/shell methods, and average value of a function.
SESSION 18

4

Sep

SESSION 18

AP Calculus

AP Calculus

Thu 11:00 PM - Fri, 12:00 AM UTCSep 4, 11:00 PM - Sep 5, 12:00 AM UTC

Practice setting up integrals for volume and area; solving problems involving rotation around axes and average value applications.
SESSION 19

9

Sep

SESSION 19

AP Calculus

AP Calculus

Tue 11:00 PM - Wed, 12:00 AM UTCSep 9, 11:00 PM - Sep 10, 12:00 AM UTC

Work with parametric equations, polar coordinates, arc length, and area in polar coordinates; understand motion in parametric form.
SESSION 20

11

Sep

SESSION 20

AP Calculus

AP Calculus

Thu 11:00 PM - Fri, 12:00 AM UTCSep 11, 11:00 PM - Sep 12, 12:00 AM UTC

Practice converting between forms, differentiating parametric functions, and solving area/arc length in polar coordinates.
SESSION 21

16

Sep

SESSION 21

AP Calculus

AP Calculus

Tue 11:00 PM - Wed, 12:00 AM UTCSep 16, 11:00 PM - Sep 17, 12:00 AM UTC

Explore convergence/divergence of series, geometric/p-series, Taylor and Maclaurin series, and error bounds.
SESSION 22

18

Sep

SESSION 22

AP Calculus

AP Calculus

Thu 11:00 PM - Fri, 12:00 AM UTCSep 18, 11:00 PM - Sep 19, 12:00 AM UTC

Practice ratio/root tests, finding intervals of convergence, writing and using Taylor series, and approximating function values.

Public Discussion

Please log in to see discussion on this series.

Jul 9 - Sep 19

11 weeks

30 - 60 mins

/ session

Next session on July 15, 2025

SCHEDULE

Tuesdays

11:00PM

Thursdays

11:00PM