# Calculus Tutoring Sessions

Sign up for a session at schoolhouse.world, a free peer tutoring platform founded by Sal Khan of Khan Academy. We offer virtual small-group sessions with volunteer tutors from around the world. Join Schoolhouse to learn with a community that’ll support you!

#### Live Calculus Help

Get 1-on-1 help from volunteer tutors certified in Calculus, every weekday 4:00 PM-7:00 PM PST.

Aayush M

Online -

Hi! I'm Aayush and I'm a junior in high school. I have a passion for math and physics, and I'm always striving to learn more. In fact, I hope to become a physicist one day! When I'm not studying, you can often find me at the pool where I work as a lifeguard. In my free time, I volunteer to fix bicycles in my city. I'm excited to be a part of Schoolhouse!Abigail C

Online -

Hello! I am in 10th grader from the USA who is currently studying Calculus and AP Statistics and currently tutoring in Pre-Alg to Pre-Calc. I would love to help people in these areas of Math!! In my free time I love to climb trees, ride my bike, and read story books!Kaleb S

Online -

Hi! I'm Kaleb, and I'm currently a homeschooled high school student. I love math, participate regularly in various math competitions like the AMCs and AIME (3x qualifier), and I'm always excited to share this love with others! I also help coach a middle school competitive math team and often discuss math with others. Some of my hobbies include listening to and making music, reading philosophy, gardening, and photography. Here on Schoolhouse.world, I mainly tutor Competition Math/AoPS Math and for Live Help. I'm also a member of the advanced peer review team :)#### Calculus Series

8

Join a series to learn, practice, and study Calculus regularly with other learners like you.

Calculus · Series

### Limits Continuity and Derivatives 🌪⛵️✅●✓⏃⚡︎

- Starts

We'll go through Calc1 which will help you in Calc AB and Calc BC. Lessons will match Khan Academy's plan.

Yashwinder R

Calculus · Series

### AP Calculus AB Exam Review!

- Starts

8 session review of all 8 units of AP Calculus AB in preparation for the AP exam. Students are expected to have previous knowledge of the content. If you are not taking Calculus, please join as well! Just understand we will be going over topics at a fast pace. We will go over unit/topic summaries and AP-style practice problems.

Cencen W

Calculus · Series

### Calculus I and II Comprehensive Review

- Starts

In this course, we will be reviewing concepts of Calculus. It doesn't matter whether you are taking AP or College Calculus, or want to learn Calculus in general. This course is for you! Note: This course isn't for people taking AB/BC this year, due to the timing. Rather it's for people who want to learn Calculus, people who are taking AB/BC Calculus next year, or people self studying.

Urjit A

Calculus · Series

### Comprehensive Calculus: Limits, Derivatives, and Integrals

- 2nd session

Finally! The long-awaited series in Calculus is here. Main resources being used: AoPS and Khan Academy Pre-requisites: Trigonometry, Algebra 1, Algebra 2, and Precalculus (recommended but not required). The session descriptions are posted below, so please check them out! This is the first of three series I will be hosting, covering Calculus 1, 2, and 3. After each series ends I will host the next. In this course we will be covering the following: LIMITS AND CONTINUITY (Unit 1) - Introduction to limits - One and two-sided limits - Creating tables to approximate limits; approximating limits using tables - Limits of composite functions - Evaluating limits through direct substitution -Limits of trigonometric and piecewise functions -Evaluating limits by rationalizing and by using trigonometric identities -Squeeze theorem and applications -Introduction to continuity and types of discontinuities -Continuity at a point and over an interval -Removing discontinuities -Limits at infinity and limits at infinity of quotients -The Intermediate Value Theorem -The formal epsilon-delta definition of a limit DERIVATIVES (Unit 2): -Introduction to derivatives and notation -Average rate of change and the secant line -Instantaneous rate of change and the tangent line -The formal and informal definition of a derivative using limits -Equation of the tangent line of a function at a point -Estimating derivatives graphically and algebraically -Differentiability at a point and over an interval (connection to continuity) -Evaluating derivatives using the power rule, sum rule, product rule, quotient rule, and chain rule (including proofs of all the rules) -Derivative of sin(x), cos(x), tan(x), csc(x), sec(x), cot(x), ln(x), e^x, a^x, and log_a(x) (including a derivation of all of the formulas) -Derivative of inverse functions and inverse trigonometric functions -Second derivatives, implicit differentiation, and related rates -Position, velocity, and acceleration problems -Local linearity and linear approximations to functions -L'Hôpital's rule and the special case of L'Hôpital's rule -The Mean Value Theorem for derivatives, the Extreme Value Theorem, and Rolle's Theorem -Finding critical points, local minima and maxima, increasing and decreasing intervals of a function -Finding absolute extrema over closed intervals and over the entire domain of a function -Introduction to concavity -The Second Derivative Test and points of inflection -Optimization INTRODUCTION TO INTEGRATION (Unit 3) -introduction to accumulation of change -Left and right Riemann sums; over and under-approximation -Midpoint and trapezoidal sums -Definition of indefinite integral using as the limit of Riemann sums -The Fundamental Theorem of Calculus (including the proof), antiderivatives, and definite integrals -Interpretation of accumulation functions: negative definite integrals, definite integrals over a single point; graphical interpretation and evaluation. -Integrating sums of functions, switching the bounds of integration, and with functions as bounds. -The reverse power rule, u-substitution, and integration by parts -Antiderivatives of all the previously mentioned functions -Improper integrals

Jose Roberto Cossich G

#### Calculus Sessions

2

Register for a session to review specific Calculus topics with a small group of learners.

Calculus · session

#### Differentiation: composite, implicit, and inverse functions

We'll go through derivatives of Implicit and Inverse Functions in 100 minutes.

Yashwinder R

Calculus · session

#### General Calculus Q&A

We'll go over any doubts students have in Calculus!

Akshaya C

### That's it for now!

Don’t see what you need? Request a session and our team of volunteers will be on the way.

### Frequently Asked Questions

For a comprehensive list of FAQs, please visit our new Help Desk.

#### What is Schoolhouse.world?

Schoolhouse.world is a **free** online tutoring platform founded by Sal Khan, the founder of Khan Academy. Our mission is to connect the world through learning—our community of passionate, dedicated volunteer tutors is here to help. We offer free online math tutoring sessions, along with SAT and AP preparation. If you're interested in joining a session, sign up for an account to get started.

Interested in becoming a tutor? The first step is to get certified in a unit, which requires demonstrating your mastery by taking the relevant Khan Academy unit tests. After getting certified, you can apply to become a tutor and join our global volunteer community.

#### How much does a calculus tutor cost?

A local calculus tutor can cost anywhere from $25 to $70 per hour. Online, calculus tutors cost anywhere from $0 to $70 per hour.

At Schoolhouse.world, it’s completely free! You can access small-group calculus tutoring sessions anytime, anywhere, run by certified calculus tutors from around the world. Just sign up for an account to get started.

#### What is the best way to learn calculus?

Calculus builds off of many foundational math skills, while introducing plenty of new concepts combining theory and application. The best way to reinforce new concepts is practice! Khan Academy has an extensive calculus curriculum if you’re looking for practice problems. And if you’re looking for live, personal calculus tutoring, sign up for a session on Schoolhouse.world!

#### What can I do to be good at calculus?

Make sure you’re solid in math leading up to calculus–such as algebra and pre-calculus. Then as you’re learning calculus, the best things you can do to improve your skills are to practice, identify gaps in your knowledge, and review concepts as many times as you need! At Schoolhouse, our online calculus tutors are here to support you to reinforce topics until you’re confident in them.

#### How is calculus different from algebra?

Algebra lays down the foundations that underlie both pre-calculus and calculus. While algebra focuses on functions and equations, calculus focuses on integrals and rates of change. In addition to calculus tutoring, we also offer tutoring in algebra where you can brush up on more fundamental concepts.

#### How can calculus help us?

Calculus, the culmination of a traditional high school math curriculum, helps us model and understand how the world works. These concepts have applications across various disciplines, from architecture and engineering to physics and medicine.

#### Can I tutor calculus?

Anyone can become an online calculus tutor at Schoolhouse.world! The first step is to get certified in calculus, which requires demonstrating your mastery by taking the relevant Khan Academy unit tests. After getting certified, you can apply to become a tutor and join our global volunteer community.