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Free online calculus tutors
when you need them.

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  • Analyzing Functions

  • Integrals

  • Applications of Integrals

  • Differential Equations

  • Limits and Continuity

  • Derivatives Basics

  • Applications of Derivatives

  • Chain Rule

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How UPchieve’s Online Calculus Tutoring Works

 
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Step 1: Join UPchieve by creating an account and signing-in

Step 2: Choose the subject you need help in and connect with a free online tutor within 5-10 minutes

Step 3: Work with your academic coach in our virtual classroom, using tools like a whiteboard and optional voice chat. You can ask them any academic question—this is a judgment-free zone!

Got questions about online tutoring? Visit our Student FAQ.

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So, what makes our online calculus tutoring different?

🧑🏽‍🏫 1:1 online tutors

Receive personalized one-on-one homework help from certified tutors!

🕐 AVAILABLE 24/7

Our online tutors are located all over the world and can help you at any time and day.

❤️ 100% FREE

We’re a nonprofit and we will never ask you to pay for the online tutoring and academic support you deserve!

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Meet our dedicated online calculus tutors 🧠

 
 
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 “Hello everyone! I'm Rebekah. I graduated from Penn State University in Spring 2020, and now I'm working for the Navy supporting reliability engineers with data analysis. I'm excited to share my love of statistics with you as an UPchieve Academic Co

“Hello everyone! I'm Rebekah. I graduated from Penn State University in Spring 2020, and now I'm working for the Navy supporting reliability engineers with data analysis. I'm excited to share my love of statistics with you as an UPchieve Academic Coach!”

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 “Hello everyone! I am Afuh, and I’m from Maryland! I am a neuroscience researcher at the National Institute of Health (NIH). I’m excited to be a part of this community and to help all you great students 🥳”

“Hello everyone! I am Afuh, and I’m from Maryland! I am a neuroscience researcher at the National Institute of Health (NIH). I’m excited to be a part of this community and to help all you great students 🥳”

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 “Hey! I'm Anika, and I'm a second year physics undergrad at Northeastern University. I'm planning to go into research on sustainable energy (particularly nuclear fusion), but I'm also super passionate about science education and DEI efforts within S

“Hey! I'm Anika, and I'm a second year physics undergrad at Northeastern University. I'm planning to go into research on sustainable energy (particularly nuclear fusion), but I'm also super passionate about science education and DEI efforts within STEM. I can’t wait to work with you!”

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 “Hello! My name is David. I’m a mechanical engineer with NASA-MSFC. I did tutoring in college at the University of Kentucky (Go Cats!) and I am very excited to help awesome students like you find their full potential and take the world to new height

“Hello! My name is David. I’m a mechanical engineer with NASA-MSFC. I did tutoring in college at the University of Kentucky (Go Cats!) and I am very excited to help awesome students like you find their full potential and take the world to new heights (literally) :)”

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 “Hello! I'm Christie, a postdoctoral fellow at Princeton in quantum science (big shoutout to any fellow women in physics out there), and I'm excited to support you in your educational journey!” 

“Hello! I'm Christie, a postdoctoral fellow at Princeton in quantum science (big shoutout to any fellow women in physics out there), and I'm excited to support you in your educational journey!” 

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 “Hi, my name is Jessica. I’m a Genetic Researcher at Indiana University Bloomington and I’m excited to have the opportunity to help students here on UPchieve!”

“Hi, my name is Jessica. I’m a Genetic Researcher at Indiana University Bloomington and I’m excited to have the opportunity to help students here on UPchieve!”

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 “Hello everyone, I’m Bianca! I’m from Brazil studying Chemical Engineering at Federal University of Rio Grande do Sul. I’m thrilled to share my passion for learning Chemistry and Mathematics.”

“Hello everyone, I’m Bianca! I’m from Brazil studying Chemical Engineering at Federal University of Rio Grande do Sul. I’m thrilled to share my passion for learning Chemistry and Mathematics.”

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 “Hey, I’m Samy! I’m an Environment and Resources PhD graduate from Stanford University. I see high schoolers deal with the same challenges I had and appreciate the opportunity to give them the support I wished I had been given.”

“Hey, I’m Samy! I’m an Environment and Resources PhD graduate from Stanford University. I see high schoolers deal with the same challenges I had and appreciate the opportunity to give them the support I wished I had been given.”

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 “Hello! I’m Nedi and I’m a Health Science student from Oakland University and I’m excited to make students feel confident in their studies and succeed academically.”

“Hello! I’m Nedi and I’m a Health Science student from Oakland University and I’m excited to make students feel confident in their studies and succeed academically.”

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90% of students say UPchieve helped improve homework performance.

Our expert online calculus tutors are available 24/7 to help you tackle tough assignments. Tailored tutoring sessions ensure you understand the material and can apply it in class. Don't spend hours stuck—sign up with UPchieve, match with a tutor in minutes, and get calculus homework help whenever you need it. 

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Calculus Topics We Can Help With

If you’re struggling with calculus, you’re not alone! Our on-demand, 1:1 tutoring sessions mean you can learn at your own pace, anywhere, anytime—even if you’re pulling an all-night study session. Get matched with your private calculus tutor and start breaking down tricky topics.

 

Limits & Continuity

Learn limits and continuity — the building blocks of calculus. Understand how functions behave as they approach specific points, such as calculating the maximum load a structure can handle before breaking.

  • Limits intro

  • Estimating limits from graphs

  • Estimating limits from tables

  • Properties of limits

  • Limits by direct substitution

  • Limits using algebraic manipulation

  • Formal definition of limits (epsilon-delta)

  • Strategy in finding limits

  • Squeeze theorem

  • Types of discontinuities

  • Continuity at a point

  • Continuity over an interval

  • Removing discontinuities

  • Infinite limits

  • Limits at infinity

  • Intermediate value theorem

Derivatives Basics

Derivatives are a core component of calculus, representing the rates at which a function changes. We can help with topics like the Power Rule to help you understand how to calculate and apply derivatives, like calculating an object’s speed by measuring how its position changes over time.

  • Derivatives and tangent lines

  • Power rule

  • Product and quotient rules

  • Higher-order derivatives

  • Applications of basic derivatives

Advanced Derivatives: Chain Rule & More

Master more advanced derivative concepts and techniques that are crucial for solving complex problems, such as determining how changing one variable affects another in real-world situations like physics, where the chain rule can help calculate the rate of change of velocity over time.

  • Chain rule

  • Implicit differentiation

  • Inverse functions and derivatives

  • Derivatives of trigonometric, exponential, and logarithmic functions

  • L'Hopital's rule

  • Related rates

Applications of Derivatives

Explore real-world applications of derivatives. Understand how things change and make predictions based on that change; for example, derivatives can help calculate how your car’s velocity changes at any moment — which is crucial in understanding acceleration.

  • Understanding Rate of Change

  • Tangent Lines and Slopes

  • Optimization Problems

  • Maxima and Minima

  • Related Rates

  • Curvature and Concavity

  • Inflection Points

  • Motion and Velocity

  • Population Growth Models

  • Economics and Marginal Analysis

  • Exponential Growth and Decay

Analyzing Functions

In calculus, applications of derivatives help you analyze how things change, such as determining speed by calculating the rate of change in its position. Learn how to analyze functions as tools for solving optimization problems and understanding real-world scenarios involving rates of change.

  • Understanding functions and their graphs

  • Intercepts of functions (x-intercepts and y-intercepts)

  • Intervals of increase and decrease

  • Relative (local) extrema

  • Absolute (global) extrema

  • Concavity and points of inflection

  • Behavior at infinity

  • Symmetry in functions (even and odd functions)

  • Piecewise functions

  • Step functions and absolute value functions

  • Rate of change and slope of tangent lines

  • End behavior of functions

  • Using the first derivative test

  • Using the second derivative test

  • Critical points and their significance

  • Sketching graphs using derivative information

  • Understanding asymptotes (vertical, horizontal, and oblique)

Integrals

Integrals represent the area under a curve. In this calculus subtopic, learn how to calculate total quantities like distance, volume, or accumulated change. 

  • Introduction to Integrals

  • Definite Integrals

  • Indefinite Integrals

  • Fundamental Theorem of Calculus

  • Techniques of Integration

  • Applications of Integrals in Real Life

  • Area Between Curves

  • Volume of Solids of Revolution

  • Improper Integrals

  • Numerical Integration Methods

  • Integration of Trigonometric Functions

  • Integration of Exponential and Logarithmic Functions

  • Applications in Physics and Engineering

  • Graphical Interpretation of Integrals

  • Challenges and Common Mistakes in Integration

Applications of Integrals

Learn to calculate the area under curves to determine real-life scenarios like the total distance traveled during a road trip.

  • Average Value of a Function

  • Straight-Line Motion

  • Non-motion Applications of Integrals

  • Vertical Area Between Curves

  • Horizontal Area Between Curves

  • Curves Intersecting at More than Two Points

  • Volume, Squares and Rectangles

  • Volume, Triangles and Semicircles

  • Volume, Disc Method

  • Volume, Washer Method

Differential Equations

Differential equations are mathematical equations that relate a function to its derivatives, helping us understand how things change over time. You can use differential equations in many real-life applications, like studying population growth or the spread of diseases. 

  • Introduction to Differential Equations

  • First-Order Differential Equations

  • Applications of First-Order Differential Equations

  • Second-Order Differential Equations

  • Systems of Differential Equations

  • Numerical Methods for Differential Equations

  • Laplace Transforms

  • Graphical and Qualitative Analysis

  • Project and Real-Life Applications

 

Get unstuck on a hard calculus problem with 24/7 calculus homework help

✅ Free calculus homework help available for middle and high school students nationwide 

✅ Homework help available 24/7, whether you're studying late at night or early in the morning 

✅ Get caught up after missing a calculus class

✅ Review problems you’ve answered incorrectly in the past 

✅ Use calculus homework questions to prepare for tests 

 

 

Calculus Tutoring FAQs

  • How much does a calculus tutor cost?

    UPchieve makes free online calculus tutoring available to all low-income middle and high school students in the U.S. UPchieve’s calculus tutoring is always 100% free as part of our nonprofit mission. Our funding comes from donations from individuals and organizations who support our mission to democratize academic support. 

  • Can I get help with AP Calculus AB?

    Yes! UPchieve’s trained and certified calculus tutors specialize in AP Calculus AB test material. UPchieve calculus tutoring is the perfect place to prepare for your AP Calculus AB exam and boost your confidence for test day! 

  • Can I get calculus help 24/7?

    Definitely! With our 24/7 calculus tutor service, you can connect with an experienced tutor any time of day or night. Whether it’s late-night calculus homework help or a last-minute review before a test, we’ll always have your back.

  • How do I find a private calculus tutor online?

    Step 1: Get in your pajamas.

    Step 2: Create an UPchieve account.

    Step 3: Choose “calculus” and connect with a private calculus tutor in under 10 minutes.

    Step 4: Use our handy chat and document editor to dive into any calculus topic. 

  • What topics do your calculus tutors cover?

    Our online calculus tutors cover a wide range of topics that are covered on the AP Calculus AB exam and college-level calculus prerequisites. Get paired with a live volunteer tutor in just 5 minutes and confidently tackle complex topics like integrals or differential equations.

  • Can I get help with calculus homework?

    Of course! Whether you’re struggling with optimization, solving differential equations, or graphing complex functions, our tutors will teach you how to successfully solve common calculus homework problems. 

  • Is your online calculus tutoring flexible?

    Absolutely. Our online calculus tutor service is designed to work around your schedule. Receive personalized one-on-one homework help from certified calculus tutors, located all over the world, who can help you at any time of day or night.

  • How do I sign up?

    It’s easy: Create a free UPchieve account, choose your calculus topic, and connect with a tutor in under 5-10 minutes. See our Student FAQs for more information.

 

 

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