Schoolhouse.world: peer tutoring, for free.
Schoolhouse.world: peer tutoring, for free.
Schoolhouse.world: peer tutoring, for free.
The People's Guide to Calculus

SAT Score Range

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18 sessions

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About

What comes to mind when you hear the word "calculus"?

For many people, calculus is often associated with difficulty and despair. Perhaps fairly so; indeed, calculus is notorious for being a class that is hard to understand and easy to fall behind in.

But it doesn't need to be.

My name is George Hartman, and I’ve scored a 5 on both the AP Calculus AB and BC exams. In this course, I aim to challenge the notion that calculus is only for the geniuses among us. By connecting complex concepts to simple ideas and supplementing each new topic with an engaging video or activity, I plan to not only teach you as much as I can about all things calculus, but also to provide you with a fun and interesting experience while doing so. And after each session, it's my hope that you'll walk away feeling just a little bit smarter and more capable.

This 9-week course will focus on the core components of the AP Calculus AB curriculum. Each of the first 8 weeks will be devoted to a unit of Calculus AB, and we will advance through the units sequentially. In week 9, we will learn about a few foundational Calculus BC concepts.

This course is intended to be fun and approachable for all skill levels, from struggling student to top-of-the-class

I can't wait to help make calculus into an engaging and accessible subject for you!




Tutored by

George H 🇺🇸

Certified in 7 topics

View Profile

Hello all! I'm currently a senior and enrolled in public high school. Last year I achieved a 1600 superscore on my SAT, got a B+ in a college-level Calculus BC course, and self-studied 2 AP Physics courses; 1 and 2. This year I hope to be able to help prospective students out with all of these subjects and more! In my free time, I enjoy playing disc golf, going bowling, and playing pickleball.

Sessions

✋ ATTENDANCE POLICY

While attendance is not mandatory for any particular session, failure to attend at least 5 sessions (out of 18) may result in removal from the series if it is already full or close to full.

Sessions will not be held on holidays such as Christmas or New Year's Day.

SESSION 1

10

Dec

SESSION 1

AP Calculus

AP Calculus

Wed 1:00 AM - 2:00 AM UTCDec 10, 1:00 AM - 2:00 AM UTC

We will explore the concept of a limit, as well as strategies for finding basic limits. We will also define continuity and explore different types of discontinuities.
SESSION 2

12

Dec

SESSION 2

AP Calculus

AP Calculus

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

We will explore more complex limits, including those that involve indeterminate forms. We will also practice using the Intermediate Value Theorem and the Squeeze Theorem.
SESSION 3

17

Dec

SESSION 3

AP Calculus

AP Calculus

Wed 1:00 AM - 2:00 AM UTCDec 17, 1:00 AM - 2:00 AM UTC

We will apply limits to define the derivative, and determine the derivatives for some elementary functions. We'll also connect the concepts of continuity and differentiability.
SESSION 4

19

Dec

SESSION 4

AP Calculus

AP Calculus

Fri 1:00 AM - 2:00 AM UTCDec 19, 1:00 AM - 2:00 AM UTC

We'll learn how to apply differentiation rules, such as the product and quotient rule, to differentiate more complex functions.
SESSION 5

24

Dec

SESSION 5

AP Calculus

AP Calculus

Wed 1:00 AM - 2:00 AM UTCDec 24, 1:00 AM - 2:00 AM UTC

We will learn how to differentiate functions using the chain rule. We will also learn how to calculate higher-order derivatives of functions.
SESSION 6

31

Dec

SESSION 6

AP Calculus

AP Calculus

Wed 1:00 AM - 2:00 AM UTCDec 31, 1:00 AM - 2:00 AM UTC

We will learn how to do implicit and inverse differentiation. We'll also review all the strategies for differentiating functions we've explored so far.
SESSION 7

7

Jan

SESSION 7

AP Calculus

AP Calculus

Wed 1:00 AM - 2:00 AM UTCJan 7, 1:00 AM - 2:00 AM UTC

We'll learn about the contextual applications of derivatives, as well as how to solve real-world problems involving rates of change. We'll also connect derivatives to position, velocity, and acceleration.
SESSION 8

9

Jan

SESSION 8

AP Calculus

AP Calculus

Fri 1:00 AM - 2:00 AM UTCJan 9, 1:00 AM - 2:00 AM UTC

We'll learn how to solve related rates problems. We'll also learn a shortcut for solving some indeterminate limit forms: L'Hopital's Rule.
SESSION 9

14

Jan

SESSION 9

AP Calculus

AP Calculus

Wed 1:00 AM - 2:00 AM UTCJan 14, 1:00 AM - 2:00 AM UTC

We'll learn all about various differentiation theorems and tests, including the Mean and Extreme Value Theorems, the first and second derivative tests, and the candidates test.
SESSION 10

16

Jan

SESSION 10

AP Calculus

AP Calculus

Fri 1:00 AM - 2:00 AM UTCJan 16, 1:00 AM - 2:00 AM UTC

We'll learn how to solve optimization problems. We'll also do a review of all derivatives content learned over the past 8 sessions.
SESSION 11

21

Jan

SESSION 11

AP Calculus

AP Calculus

Wed 1:00 AM - 2:00 AM UTCJan 21, 1:00 AM - 2:00 AM UTC

We'll introduce the concept of definite integrals. We'll also learn how to calculate them using Riemann sums.
SESSION 12

23

Jan

SESSION 12

AP Calculus

AP Calculus

Fri 1:00 AM - 2:00 AM UTCJan 23, 1:00 AM - 2:00 AM UTC

We'll learn about the Fundamental Theorem of Calculus and indefinite integrals. We'll also learn a few basic techniques to solve indefinite integrals.
SESSION 13

28

Jan

SESSION 13

AP Calculus

AP Calculus

Wed 1:00 AM - 2:00 AM UTCJan 28, 1:00 AM - 2:00 AM UTC

We'll learn what differential equations are, as well as how to derive them from verbal descriptions of change. We'll also learn how to sketch slope fields.
SESSION 14

30

Jan

SESSION 14

AP Calculus

AP Calculus

Fri 1:00 AM - 2:00 AM UTCJan 30, 1:00 AM - 2:00 AM UTC

We'll learn how to find general and particular solutions to separable differential equations. We'll also derive and apply models for exponential growth and decay.
SESSION 15

4

Feb

SESSION 15

AP Calculus

AP Calculus

Wed 1:00 AM - 2:00 AM UTCFeb 4, 1:00 AM - 2:00 AM UTC

We'll learn how to calculate the average value of a function using integrals. We'll also learn how to solve accumulation problems and connect integrals to position, velocity, and acceleration.
SESSION 16

6

Feb

SESSION 16

AP Calculus

AP Calculus

Fri 1:00 AM - 2:00 AM UTCFeb 6, 1:00 AM - 2:00 AM UTC

We'll learn how to use integrals to calculate the area and volume of shapes, including the area between two curves and the volume of disc and washer-shaped solids.
SESSION 17

11

Feb

SESSION 17

AP Calculus

AP Calculus

Wed 1:00 AM - 2:00 AM UTCFeb 11, 1:00 AM - 2:00 AM UTC

We'll learn all about parametric functions, which you'll explore in Calculus BC.
SESSION 18

13

Feb

SESSION 18

AP Calculus

AP Calculus

Fri 1:00 AM - 2:00 AM UTCFeb 13, 1:00 AM - 2:00 AM UTC

We'll learn all about Taylor polynomials and Taylor series, which you'll explore in Calculus BC.

Public Discussion

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Dec 10 - Feb 13

10 weeks

60 mins

/ session

Next session on December 10, 2025

SCHEDULE

Wednesdays

1:00AM

Fridays

1:00AM