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Schoolhouse.world: peer tutoring, for free.
AP Calculus Basics (from limits to Optimization)

SAT Score Range

20 sessions

+1

About

Each week we will cover one of the most fundamental parts of calculus. This will cover about half of Calculus AB or one semester of Calculus

Tutored by

Isabela M 🇺🇸

Certified in 5 topics

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Hi! My name is Isabela, and I’m passionate about helping students build confidence and reach their academic goals. I specialize in English, SAT prep, History, and Chemistry, and I enjoy breaking down challenging concepts into simple, step-by-step explanations. Outside of tutoring, I’m an honors student involved in leadership, volunteer work, and music, and I plan to pursue a career in chemistry and research. I know from experience that learning can feel overwhelming at times, but with the right guidance and practice, anyone can succeed. I look forward to supporting you on your learning journey!

✋ ATTENDANCE POLICY

You will be withdrawn from the series if you have more than 2 unexcused absences in a row. Please message the tutor in advance for any absences!

SESSION 1

3

Dec

SESSION 1

AP Calculus

AP Calculus

Wed 12:00 AM - 1:00 AM UTCDec 3, 12:00 AM - 1:00 AM UTC

Introduction to calculus + the idea of change
SESSION 2

5

Dec

SESSION 2

AP Calculus

AP Calculus

Fri 12:00 AM - 1:00 AM UTCDec 5, 12:00 AM - 1:00 AM UTC

Limits: graphical and numerical approaches
SESSION 3

10

Dec

SESSION 3

AP Calculus

AP Calculus

Wed 12:00 AM - 1:00 AM UTCDec 10, 12:00 AM - 1:00 AM UTC

Limit rules and algebraic techniques
SESSION 4

12

Dec

SESSION 4

AP Calculus

AP Calculus

Fri 12:00 AM - 1:00 AM UTCDec 12, 12:00 AM - 1:00 AM UTC

One-sided limits & continuity
SESSION 5

17

Dec

SESSION 5

AP Calculus

AP Calculus

Wed 12:00 AM - 1:00 AM UTCDec 17, 12:00 AM - 1:00 AM UTC

Understanding instantaneous rate of change
SESSION 6

19

Dec

SESSION 6

AP Calculus

AP Calculus

Fri 12:00 AM - 1:00 AM UTCDec 19, 12:00 AM - 1:00 AM UTC

Definition of the derivative (limit definition)
SESSION 7

24

Dec

SESSION 7

AP Calculus

AP Calculus

Wed 12:00 AM - 1:00 AM UTCDec 24, 12:00 AM - 1:00 AM UTC

Basic derivative rules (power, constant, sum)
SESSION 8

26

Dec

SESSION 8

AP Calculus

AP Calculus

Fri 12:00 AM - 1:00 AM UTCDec 26, 12:00 AM - 1:00 AM UTC

Product & quotient rules
SESSION 9

31

Dec

SESSION 9

AP Calculus

AP Calculus

Wed 12:00 AM - 1:00 AM UTCDec 31, 12:00 AM - 1:00 AM UTC

Chain rule mastery
SESSION 10

2

Jan

SESSION 10

AP Calculus

AP Calculus

Fri 12:00 AM - 1:00 AM UTCJan 2, 12:00 AM - 1:00 AM UTC

Derivatives of trig functions
SESSION 11

9

Jan

SESSION 11

AP Calculus

AP Calculus

Fri 12:00 AM - 1:00 AM UTCJan 9, 12:00 AM - 1:00 AM UTC

Derivatives of exponential & logarithmic functions
SESSION 12

14

Jan

SESSION 12

AP Calculus

AP Calculus

Wed 12:00 AM - 1:00 AM UTCJan 14, 12:00 AM - 1:00 AM UTC

Implicit differentiation
SESSION 13

16

Jan

SESSION 13

AP Calculus

AP Calculus

Fri 12:00 AM - 1:00 AM UTCJan 16, 12:00 AM - 1:00 AM UTC

Related rates basics
SESSION 14

21

Jan

SESSION 14

AP Calculus

AP Calculus

Wed 12:00 AM - 1:00 AM UTCJan 21, 12:00 AM - 1:00 AM UTC

Advanced related rates problems
SESSION 15

23

Jan

SESSION 15

AP Calculus

AP Calculus

Fri 12:00 AM - 1:00 AM UTCJan 23, 12:00 AM - 1:00 AM UTC

Linear approximation
SESSION 16

28

Jan

SESSION 16

AP Calculus

AP Calculus

Wed 12:00 AM - 1:00 AM UTCJan 28, 12:00 AM - 1:00 AM UTC

Finding critical points & using the first derivative
SESSION 17

30

Jan

SESSION 17

AP Calculus

AP Calculus

Fri 12:00 AM - 1:00 AM UTCJan 30, 12:00 AM - 1:00 AM UTC

The second derivative & concavity
SESSION 18

4

Feb

SESSION 18

AP Calculus

AP Calculus

Wed 12:00 AM - 1:00 AM UTCFeb 4, 12:00 AM - 1:00 AM UTC

Curve sketching with derivatives
SESSION 19

6

Feb

SESSION 19

AP Calculus

AP Calculus

Fri 12:00 AM - 1:00 AM UTCFeb 6, 12:00 AM - 1:00 AM UTC

Introduction to optimization
SESSION 20

11

Feb

SESSION 20

AP Calculus

AP Calculus

Wed 12:00 AM - 1:00 AM UTCFeb 11, 12:00 AM - 1:00 AM UTC

Advanced optimization + cumulative review

Public Discussion

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Dec 3 - Feb 11

11 weeks

60 mins

/ session

Next session on December 3, 2025

SCHEDULE

Wednesdays

12:00AM

Fridays

12:00AM