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Award-Winning Differential Calculus Tutors

Samuel

Certified Tutor

5+ years

Samuel

Doctor of Philosophy, Applied Mathematics
Samuel's other Tutor Subjects
Applied Mathematics
Linear Algebra
Finite Mathematics
Multivariable Calculus

I am especially passionate about presenting a new perspective on algebra, trigonometry, calculus, and linear algebra. In my experience, students have always appreciated my patience and flexibility when approaching challenging topics. I also follow sports closely, and in my spare time I enjoy running...

Education

Cornell University

Bachelor of Science, Mechanical Engineering

University of Iowa

Doctor of Philosophy, Applied Mathematics

Yucheng

Certified Tutor

6+ years

Yucheng

Bachelor of Science, Mechanical Engineering
Yucheng's other Tutor Subjects
AP Statistics
AP Calculus AB
Pre-Algebra
College Algebra

I am a student at the University of Texas. I tutor multiple subjects from middle to high school level math. I have tutored algebra, algebra 2, pre calculus and ACT prep. I look forward to helping you!

Education

The University of Texas at Austin

Bachelor of Science, Mechanical Engineering

Test Scores
ACT
31
Ismael

Certified Tutor

2+ years

Ismael

Bachelor
Ismael's other Tutor Subjects
AP Calculus BC
Pre-Algebra
College Algebra
Trigonometry

As a physics major with a passion for particle physics, I am deeply interested in exploring the theoretical and universal aspects of both physics and math. I have over 100 hours of tutoring experience, during which I've helped students navigate these challenging subjects. Whether working with founda...

Education

Rhodes College

Bachelor

Eric

Certified Tutor

2+ years

Eric

Bachelor
Eric's other Tutor Subjects
AP Calculus BC
AP Calculus AB
Pre-Algebra
Trigonometry

I'm a junior undergraduate at Florida State University with over 200 hours of tutoring experience, both online and in person. I've been teaching for more than two years, including students with learning disorders like ADHD, and I mainly specialize in physics, chemistry, calculus, and algebra. Outsi...

Education

University of Wisconsin - Madison

Bachelor

Janani

Certified Tutor

2+ years

Janani

Bachelor
Janani's other Tutor Subjects
AP Statistics
AP Calculus BC
AP Calculus AB
Pre-Algebra

Current freshman at the University of Texas at Dallas majoring in Computer Science having graduated from Flower Mound High School with the class of 2024. Has been tutoring students for about 3-4 years now, and is most confident in tutoring math (upto Calculus 2), science, reading comprehension, and ...

Education

The University of Texas at Dallas

Bachelor

Chandana

Certified Tutor

2+ years

Chandana

PhD
Chandana's other Tutor Subjects
Applied Mathematics
AP Calculus AB
Pre-Algebra
Linear Algebra

I have PhD in Mathematics from University of Wyoming, USA. I have been teaching mathematics for 15 years in University of Wyoming, WY, St. Cloud State University, MN and SLIIT, Sri Lanka. Mathematics can be a difficult subject for any student. It's nothing to be afraid of. You need to invest some ...

Education

University of Wyoming

PhD

University of Colombo

PhD

Jagriti

Certified Tutor

2+ years

Jagriti

MS
Jagriti's other Tutor Subjects
AP Statistics
AP Calculus BC
AP Calculus AB
Pre-Algebra

A passionate science and mathematics teacher with logical approach. Having a Masters degree in Physics and Bachelors with Physics, Chemistry and Mathematics, I find interest in all these subjects. Basically, Science is something that one should always enjoy with Mathematics as Mathematics is code la...

Education

Panjab university

MS

Naveen

Certified Tutor

2+ years

Naveen

Master's/Graduate
Naveen's other Tutor Subjects
Applied Mathematics
AP Calculus BC
AP Calculus AB
Pre-Algebra

I teach IB Physics, AP Physics, College Physics, Calculus, and GRE Quantitative Reasoning, with a strong foundation in Mathematics and Physics. I hold a Master of Applied Science in Mechanical Engineering and a Bachelor of Technology in Production Engineering, and I've been passionate about helping ...

Education

University of Windsor

Master's/Graduate

Diba

Certified Tutor

2+ years

Diba

BS
Diba's other Tutor Subjects
Applied Mathematics
Pre-Algebra
Finite Mathematics
College Algebra

Hey :) I am Diba and I am completing my degree in Honours Physics at University of Waterloo. I have been tutoring math and physics for more than five years, helping students from middle school to university level. I value learning through solving examples and practice questions. My goal is to crea...

Education

University of Waterloo

BS

Kavya

Certified Tutor

2+ years

Kavya

BS
Kavya's other Tutor Subjects
Pre-Algebra
Middle School Math
Geometry
Algebra

I am a passionate individual who believe in collaboration before competition. I understand that everyone has their own journey and want to help students like myself to reach their goal a little quicker. I love explaining things to people because I believe that you can learn more about the concepts w...

Education

University of British Columbia

BS

Meet Our Expert Tutors

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Romola

Applied Mathematics Tutor • +62 Subjects

Hi! My name is Romola and I'm currently a junior at Columbia studying Applied Math. My approach to tutoring is bottoms-up and about understanding why things are right rather than just memorizing answers. Alongside math, I'm passionate about bioengineering, finance/investing, the tech industry, and cooking! I'm a published and award winning writer, 3x published scientific researcher, and I'm hoping to become a certified pilates instructor on the side. I'm excited about tutoring across subjects, but I can be especially helpful in math, writing, ACT prep (I got a 36 in 2020), and college admissions. I'm excited to meet you!

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Ruben

Pre-Algebra Tutor • +20 Subjects

I am an Engineering Physics graduate from the University of Alberta. I've spent a lot of time helping children, from leading cabins at summer camp to coaching gymnastics classes. I love seeing them succeed! Academically, my focus lies in physics, and the math that lays the foundation for it. Being able to understand and predict natural processes is awesome!

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Bianca

Applied Mathematics Tutor • +98 Subjects

As a current PhD student in Medical Biophysics at the University of Toronto, I am passionate about helping students unlock their potential and achieve their academic goals. I received my Bachelor of Applied Sciences from the University of British Columbia, where I specialized in Biomedical Engineering with a focus on Cellular and Molecular Bioengineering. Growing up, I attended an international multilingual school. Throughout this time, I accumulated years of experience helping fellow students in a wide range of languages, including English, Portuguese, Spanish, and German. Today, I continue to offer tutoring services in Biology, Chemistry, Physics, and Mathematics, with a particular enthusiasm for Cellular Biology and Genetics. After graduating, I aspire to purse a career in clincal cancer genomics. Outside the academic realm, I enjoy traveling and exploring new cultures, which continually broadens my perspective and enriches my life experiences. I look forward to helping students achieve their own academic aspirations and career goals. Together, we can navigate the challenges of your coursework and build a strong foundation for your future success.

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Shivansh

Applied Mathematics Tutor • +95 Subjects

I am in the process of earning Bachelor's degree in Mathematics with a concentration in Data Science from the University of British Columbia. For the past three years, I have tutored students across North America in SAT Math, ACT Math, Calculus, Algebra, Geometry, Statistics, and Physics. I am most passionate about teaching math because it builds problem-solving skills that extend beyond academics. My approach is clear, step-by-step, and customized to each student's needs, fostering both confidence and mastery. Outside of tutoring, I enjoy entrepreneurship, fitness, and personal finance.

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Glib

AP Calculus BC Tutor • +33 Subjects

Helping others understand challenging concepts has been something that I have always enjoyed. I'm currently in my third year of University studying Materials Engineering with a minor in Aerospace Engineering at McGill University. I specialize in tutoring Calculus 1 and 2 (Any sort of functions classes as well) and AP Physics. I genuinely enjoy helping students dive into these subjects and helping them understand them. My solid understanding comes not just from my degree, but also from the experience of tutoring them in the past. What excites me the most is showing others how fascinating these topics can be when you truly understand them. Throughout my high school career, I was the go-to person for friends and classmates who needed help with math, physics, or chemistry, and I loved bringing sense to tough ideas using my teaching techniques. Since joining Varsity Tutors, I have successfully guided one student through a Calculus 1 course and another through a Chemistry 1 course, both of whom achieved exceptional grades. In grades 11 and 12, I also took on a formal/volunteering role as a peer mentor, working with younger students in grades 8 and 9. It was rewarding to not only help students with their academic work but also to guide them through general challenges and give them the confidence to succeed. Whether it was assisting friends with math and physics problems in high school or mentoring younger students in general studies, I've always felt a strong desire to make learning more accessible and enjoyable. The way I learn new subjects and concepts is through a specific manner; which I integrate into my teaching technique. My tutoring style is all about collaboration. Learning is most effective when it's a shared process, so I ask lots of guiding questions and offer hints to lead students toward the solution. I want my students to feel the satisfaction of figuring things out themselves, even if it means making a few mistakes along the way since that's how real understanding happens. Instead of just providing answers, or even just explaining the solution right away, I help them understand the "why" behind the solution, which builds their confidence and encourages deeper understanding. I also tend to make students re-explain topics and answers to me, to make sure they do actually understand the concept.

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Robert

Applied Mathematics Tutor • +58 Subjects

I'm a current University undergraduate who's studying Biochemistry. I first found my passion for tutoring while helping my high school classmates with concepts, and realized then how beneficial one-on-one learning can be for someone's foundational skills in a subject and spirit towards learning. I've always had a passion for Math and Science, and I enjoy helping others discover the same feeling for subjects such as Data Management, Mathematics and Calculus, Biology, Chemistry, and Physics. I believe in connecting concepts holistically, assisting students in understanding the correlation between theory and application/calculation which allows them to use their knowledge as a whole, which also sets them up for success in future studies. I am looking forward to strengthening your skills and unlocking your full potential!!"

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Frequently Asked Questions

Limits are the conceptual foundation that makes derivatives make sense. Many students try to memorize derivative rules without understanding that a derivative is fundamentally a limit of a difference quotient. A tutor helps you see why we need limits to define instantaneous rate of change, rather than treating derivatives as isolated formulas to plug into. This conceptual groundwork prevents common mistakes like applying the power rule mechanically without understanding what you're actually calculating.

The chain rule requires recognizing composite functions and understanding how derivatives chain together—a leap that many students find abstract. Tutors work through multiple examples to help you identify the "outer" and "inner" functions and see the pattern, rather than just memorizing the formula. Once you recognize the structure in problems like finding the derivative of sin(3x²), the chain rule becomes a reliable tool instead of a source of frustration.

Optimization requires connecting the derivative (which tells you where the slope is zero) to the real-world meaning of a maximum or minimum. Students often find the critical points correctly but then can't interpret what they mean in context, or they forget to check endpoints. Tutors help you build the conceptual bridge between "f'(x) = 0" and "this is where profit is maximized" by working through problems where you actually verify your answer makes sense in the original scenario.

Differential calculus demands more formal notation and justification than algebra—you need to explain why you can apply a rule, not just apply it. Tutors teach you to write out the limit definition when appropriate, clearly label when you're using the chain rule or product rule, and explain your reasoning in a way that shows you understand the concept, not just the mechanics. This level of rigor becomes especially important on exams and in higher-level courses where "I got the right answer" isn't enough.

Many students can compute f'(x) but struggle to interpret what it means on a graph—understanding that f'(x) is the slope of the tangent line, and that f''(x) tells you about concavity. Tutors use graphing tools and sketches to show you how critical points correspond to peaks and valleys, how the sign of the derivative tells you where a function is increasing or decreasing, and how the second derivative test connects to the shape of the curve. This visual connection transforms derivatives from abstract symbols into tools you can actually use to understand function behavior.

Differential calculus often feels like a big conceptual jump, and anxiety can block your ability to learn. Tutors build confidence by breaking complex topics into smaller, manageable pieces and celebrating when you recognize patterns or solve a problem independently. They also normalize the struggle—seeing limits and derivatives as genuinely difficult concepts that require time to internalize, not signs that you're "not a math person." Regular practice with immediate feedback helps you move from "I don't understand this" to "I understand this now and can apply it."

Implicit differentiation trips up students because it requires differentiating both sides of an equation with respect to x, treating y as a function of x even when it's not solved explicitly. Tutors help you see that you're applying the chain rule to y terms (since y is a function of x), which makes the "dy/dx" terms appear naturally rather than mysteriously. Once you understand why those terms show up and practice organizing your algebra to solve for dy/dx, implicit differentiation becomes a logical extension of what you already know instead of a confusing new technique.

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