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Award-Winning Multivariable Calculus Tutors

Justin

Certified Tutor

9+ years

Justin

Doctor of Philosophy, Computational Mathematics
Justin's other Tutor Subjects
AP Calculus BC
AP Calculus AB
Pre-Algebra
Multivariable Calculus

I am an aspiring applied mathematician, with particular interest in image processing and climate science. I graduated in May 2017 from Washington University in St. Louis with a bachelor's in physics and mathematics, and am beginning a PhD program in September 2017 at the University of Chicago in Com...

Education

Washington University in St. Louis

Bachelor's in Physics and Mathematics

University of Chicago

Doctor of Philosophy, Computational Mathematics

Test Scores
SAT
1560
ACT
33
Rahul

Certified Tutor

6+ years

Rahul

B.S. in Chemical Engineering
Rahul's other Tutor Subjects
Pre-Algebra
Multivariable Calculus
Pre-Calculus
Geometry

I am a recent graduate of Cornell University, where I received a B.S. in Chemical Engineering and graduated Magna Cum Laude. Over the past several years, I have worked with students from diverse backgrounds and experiences tutoring thermodynamics (my personal favorite), chemistry, and math. I have a...

Education

Cornell University

B.S. in Chemical Engineering

Test Scores
Perfect Score
ACT
36
Andrew

Certified Tutor

6+ years

Andrew

Doctor of Philosophy, Biomedical Engineering
Andrew's other Tutor Subjects
Pre-Algebra
Linear Algebra
College Algebra
Multivariable Calculus

I am comfortable tutoring math subjects up to multivariable calculus and differential equations, as well as college physics.

Education

University of North Texas

Bachelor of Science, Physics

Vanderbilt University

Doctor of Philosophy, Biomedical Engineering

Test Scores
SAT
1480
Frankie

Certified Tutor

13+ years

Frankie

Bachelor in Arts
Frankie's other Tutor Subjects
College Algebra
Arithmetic
Multivariable Calculus
Competition Math

I'm Frankie! I have recently earned degrees in both Math and Physics from Cornell University. Prior to joining Varsity Tutors, I worked as both a Math Course Assistant and as an SAT Math Tutor. In addition to working with students, I'm also currently conducting Applied Math Research for the National...

Education

Cornell University

Bachelor in Arts

Richard

Certified Tutor

Richard

Bachelor in Arts, Government
Richard's other Tutor Subjects
AP Calculus BC
AP Calculus AB
Pre-Algebra
Linear Algebra

I am a rising senior at Harvard College pursuing an AB in Government. Academically, I have diverse interests, including history, language, math, physics, philosophy, music, and politics. In high school, I tutored elementary, middle, and high school students in music, math, ACT and SAT prep, and Span...

Education

Harvard University

Bachelor in Arts, Government

Test Scores
Perfect Score
SAT
1600
ACT
36
Natasha

Certified Tutor

Natasha

Bachelor of Science, Chemical and Biomolecular Engineering
Natasha's other Tutor Subjects
AP Calculus AB
Pre-Algebra
Finite Mathematics
College Algebra

I'm a graduate student at MIT. I started tutoring from my first year of undergrad because I had such wonderful experiences when I was in high school learning with friends and upperclassmen. I am personally a social learner- I learn best when I'm talking and wrestling with concepts out loud and in a ...

Education

Johns Hopkins

Bachelor of Science, Chemical and Biomolecular Engineering

Test Scores
SAT
1500
Derek

Certified Tutor

9+ years

Derek

Bachelor in Arts, Computer Science
Derek's other Tutor Subjects
AP Calculus BC
Pre-Algebra
Multivariable Calculus
Trigonometry

I am currently a Harvard student majoring in Computer Science with a minor in Applied Mathematics. I graduated Class Valedictorian in high school and was named National Merit Finalist. I took 16 AP classes in high school, including AP Calculus AB, AP Calculus BC, AP Computer Science A, AP Physics C ...

Education

Harvard University

Bachelor in Arts, Computer Science

Test Scores
SAT
1550
Zach

Certified Tutor

9+ years

Zach

Bachelor of Engineering, Mechanical Engineering
Zach's other Tutor Subjects
AP Calculus BC
AP Calculus AB
Pre-Algebra
Multivariable Calculus

I'm Zach, a sophomore at Northwestern University, and I am majoring in Mechanical Engineering with a minor in Computer Science. I love math and science, and enjoy the satisfaction of fostering love for such subjects in the students I tutor.

Education

Northwestern University

Bachelor of Engineering, Mechanical Engineering

Test Scores
ACT
35
Caroline

Certified Tutor

14+ years

Caroline

Masters in Business Administration, Business Administration and Management
Caroline's other Tutor Subjects
College Algebra
Arithmetic
Multivariable Calculus
Trigonometry

I am currently pursuing my MBA from MIT Sloan's School of Management. I attended undergrad at at Washington University in St. Louis and graduated Magna Cum Laude with my M.S. in Mechanical Engineering. After college, I moved to Houston, Texas to work for ExxonMobil at a refinery before returning to ...

Education

Massachusetts Institute of Technology

Masters in Business Administration, Business Administration and Management

Washington University in St. Louis

Undergraduate degree

Test Scores
SAT
1560
Michael

Certified Tutor

6+ years

Michael

Current Undergrad Student, Electrical Engineering
Michael's other Tutor Subjects
AP Calculus BC
AP Calculus AB
Multivariable Calculus
Trigonometry

I am currently a rising Junior at Northwestern University studying Electrical and Computer Engineering. In my studies I am focusing on Robotics and Control Systems (think developing robots like Boston Dynamics or designing algorithms that allow rockets to land on their own like SpaceX.) I also am a ...

Education

Northwestern University

Current Undergrad Student, Electrical Engineering

Test Scores
ACT
34

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Eamonn

AP Calculus BC Tutor • +30 Subjects

I am a highly motivated, PhD physics student with a very strong background in mathematics and physics. I have plenty of experience as a tutor, helping students at both the high school and university level.

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Gagik

Pre-Algebra Tutor • +30 Subjects

I am a graduate of Wayne State University in Detroit, Michigan, where I completed my Ph.D. program in Physics. I was doing research in physics for many years, but it always comes a time when you feel you must pass your knowledge to other people, especially those of new generation. So, I started teaching and tutoring then. Originally I was teaching Conceptual, Algebra-Based and Calculus-Based Physics courses at different colleges and universities. Yet, while teaching these courses, I was also unofficially "tutoring" the students during my office hours when they were coming with their concerns and confusions. Officially, my tutoring started in January 2017, when I was offered to tutor at Science Learning Center of Stark State College in North Canton, Ohio. One thing I like in tutoring is the opportunity to work with students individually and use personal approaches to direct them to the success in their studies, rather than teaching an "average student" standing at a whiteboard or a projector screen. I am tutoring College, University and AP Physics courses, also I am able to tutor algebra/trigonometry and calculus. Rather that just giving the students the equations to solve the desired problems, I prefer to make the students work themselves, concentrating myself in directing them whenever it is necessary and explaining the subtle points of the confusing material studied. During the tests the students are left with their task alone with no help form anyone, and my goal is to make them able to deal with such tasks successfully. Hobbies: art, books, writing, reading, music

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Satya

AP Statistics Tutor • +27 Subjects

I am an engineering student at Princeton University. I have taken and tutored many AP subjects especially in the sciences and math. I have experience tutoring students of all ages in a variety of topics including test prep (ACT, AP Exams, etc.) and general science/math course tutoring. My focus is on helping students gain a critical understanding of the subjects at hand so they can apply that knowledge to solving a variety of problems. Hobbies: reading, music, writing, art, books

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Daniel

AP Calculus BC Tutor • +30 Subjects

I am a rising sophomore at Cornell University in the College of Engineering. I finished up my freshman year with a 3.7 GPA. I have a passion for math and physics and have been very knowledgable about these subjects since a young age. I am dedicated to making sure people learn the math/physics concepts rather than just memorizing formulas. Hobbies: reading, music, art, books, writing

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Thomas

AP Calculus BC Tutor • +96 Subjects

I am also working towards a career in molecular biology, I use math and science every day, and I can explain real-world applications and uses for these subjects that may not seem obvious. By demonstrating the use of math and science in everyday life, I am able to help interact with the student and increase their interest in a subject in which they may experience difficulty. I also believe that as a tutor, it is my responsibility to engage with the student to help them achieve and even surpass their goals. In my spare time, I am heavily involved with music in New York City, being part of multiple choirs and continuing to play piano. I also enjoy exercising and exploring the city whenever I have the chance.

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Ben

12th Grade math Tutor • +49 Subjects

I am an undergraduate student at the University of Pennsylvania. I have been tutoring for over 6 years now, and I have found it to be an extremely rewarding and enjoyable experience. I specialize in mathematics, particularly at the high school level, and I also have experience tutoring other subjects. I also have done SAT prep for the mathematics section of the New SAT and am very familiar with the recent changes to the exam. My belief is that everyone is capable of learning with enough time, explanation, and practice, and I hope to pass this on to all the students I work with. For this reason, I believe in teaching students how to think and problem solve, rather than just having them memorize patterns or facts. Hobbies: reading, music, writing, art, books

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Enrico

Pre-Algebra Tutor • +21 Subjects

I am in my second year at MIT studying mathematics, and I am currently doing a research project in Spectral Graph Theory. I have been a tutor since my junior year in high school, and I enjoy teaching all levels of math; everything from pre-algebra through calculus and linear algebra! I focus primarily on making sure that the definitions and processes given in class make intuitive sense, so that math can begin to feel like second nature.

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Kiran

AP Calculus BC Tutor • +43 Subjects

I am currently a senior at Stony Brook University, and a physics and computer science double-major. I hail from the town of Clarence, New York, a suburb of Buffalo. I enjoy tutoring in part because of my affinity for the subjects that I'll be teaching, but the primary reason is that I like working with people and forming interpersonal connections.

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Matthew

AP Statistics Tutor • +62 Subjects

I am a rising sophomore at Harvard College, currently on leave for the semester. I am a B.A. candidate in mathematics and physics, and I have both professional and academic experience in computer science as well.

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Anthony

AP Statistics Tutor • +46 Subjects

I'm currently a PhD student in economics at Yale University. I also have a BS in physics and math from Yale. Other subjects I enjoy are history, geography, and philosophy, and I dabble in photography and baking. I enjoy helping people understand tricky concepts and solve challenging problems, academic and otherwise.

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Frequently Asked Questions

The jump from single-variable to multivariable calculus is significant because students must shift from thinking about functions of one variable to visualizing and working with functions of multiple variables. Many students struggle with 3D visualization, understanding partial derivatives conceptually (not just procedurally), and recognizing when to apply which technique—whether that's partial differentiation, multiple integration, or vector calculus concepts.

A tutor can break down these abstract concepts into concrete examples, help you build spatial reasoning skills, and show how multivariable calculus extends what you already know rather than starting from scratch.

Multivariable calculus problems involve many steps and often require organizing your work across multiple coordinate systems or notations. Strong work-showing means clearly labeling what you're solving for, stating which technique you're using and why, and tracking partial derivatives, integrals, or vector operations systematically.

A tutor can help you develop a consistent approach to organizing complex problems—like setting up a double integral with clear bounds or showing how you're applying the chain rule to composite functions. They'll also help you recognize common patterns so you can explain your reasoning confidently, not just get the right answer.

Conceptual understanding in multivariable calculus means truly grasping why partial derivatives measure rates of change in specific directions, or what a double integral represents geometrically (volume, area, or flux). This requires moving beyond 'plug into a formula' thinking to seeing the connections between algebraic manipulation and real meaning.

Tutors help build this understanding by asking you to visualize and explain concepts in your own words, connecting them to familiar single-variable ideas, and working through why certain techniques work before diving into calculation. They'll point out patterns and help you predict which approach fits a problem, rather than memorizing a checklist.

Yes. Different textbooks—like Stewart, Larson, or OpenStax—sometimes organize topics differently, use varying notation systems, or emphasize different applications. Some courses focus heavily on vector calculus and line integrals, while others prioritize optimization or applications to physics and engineering.

Varsity Tutors connects you with tutors who understand these curricular variations and can explain concepts using your textbook's approach and notation. They'll help you align your problem-solving style with what your instructor expects.

Multivariable word problems require you to translate complex, real-world scenarios into mathematical language while managing multiple variables, constraints, and sometimes unfamiliar contexts (like optimization on a constrained surface or flux through a 3D region). Many students can execute the calculus mechanics but struggle to set up the problem correctly.

A tutor helps you develop a systematic approach: identifying variables, visualizing the scenario, recognizing which technique applies, and checking whether your answer makes sense. They'll work through several similar problems so you spot the underlying patterns and build confidence tackling new situations.

An effective multivariable calculus tutor should communicate clearly about abstract 3D concepts, ask questions to check your understanding rather than just explain, and help you see connections between topics (how the chain rule relates to directional derivatives, or why Green's theorem makes sense). They should also be patient with the visual and conceptual challenges this course presents.

Beyond subject expertise, strong tutors adapt their explanations to your learning style, help you organize messy work, and build your confidence by celebrating progress on genuinely difficult material.

With consistent tutoring, students typically see improvements in problem-solving speed, ability to set up complex problems correctly, confidence in explaining their reasoning, and exam performance. Many students also report that concepts that seemed abstract and disconnected suddenly make sense once they see them from a different angle.

The timeline varies—some students show significant improvement in a few weeks, while deeper conceptual shifts take longer. Regular sessions combined with your own practice between meetings accelerate progress. Your tutor will help you identify which topics need the most attention and work with you to build real mastery, not just temporary comprehension.

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