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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

Limits, continuity, and the formal definition of the derivative are where many students first encounter math that demands both intuition and precision at the same time. Samuel breaks down epsilon-delta arguments and related-rates problems by connecting them to the physics and engineering contexts wh...

Education

Cornell University

Bachelor of Science, Mechanical Engineering

University of Iowa

Doctor of Philosophy, Applied Mathematics

Eric

Certified Tutor

2+ years

Eric

Bachelor
Eric's other Tutor Subjects
Trigonometry
Pre-Calculus
Geometry
Algebra

The jump from computing derivatives to actually understanding them — what a limit definition means, why the chain rule works, how related rates model real motion — is where most Differential Calculus students get stuck. Eric tackles these conceptual hurdles by grounding each rule in physics applicat...

Education

University of Wisconsin - Madison

Bachelor

Certified Tutor

2+ years

Aashay

Bachelor
Aashay's other Tutor Subjects
AP Calculus BC
AP Calculus AB
Linear Algebra
Algebra

As a Computer Science graduate with a minor in Mathematics from Dalhousie University, I am passionate about teaching and dedicated to fostering a deep understanding of complex concepts in my students. With over 2 years of tutoring experience, I specialize in a wide array of subjects, including AP Ca...

Education

Dalhousie University

Bachelor

Certified Tutor

Jessica

PHD, Medicine
Jessica's other Tutor Subjects
College Algebra
Calculus
Algebra
Honors Chemistry

I am a licensed physician from Florida who is currently changing careers. I graduated from the University of Pennsylvania in 2009 and have extensive tutoring and editing experience. While a student, I became a certified writing tutor through the Critical Writing Department. Since I completed my writ...

Education

Nova Southeastern University

PHD, Medicine

University of Pennsylvania

Bachelors, History

University of Pennsylvania

undergraduate

Test Scores
SAT
1540

Certified Tutor

9+ years

Jai

Bachelors in Electrical Engineering and Computer Science
Jai's other Tutor Subjects
Calculus
Algebra
Electrical Engineering
ACT Writing

I'm a recent Stanford graduate (Electrical Engineering and Computer Science), and have been working at a major Management Consulting firm for a few years now. I personally scored a 2360 (out of 2400) on the SAT and 35 on the ACT and was successful in gaining admission to several top universities. I'...

Education

Stanford University

Bachelors in Electrical Engineering and Computer Science

Test Scores
SAT
1590
ACT
35

Certified Tutor

Kate

Masters, Environmental Engineering
Kate's other Tutor Subjects
AP Calculus BC
AP Calculus AB
College Algebra
Pre-Calculus

I'm available to tutor biology, chemistry, physics, math from Algebra up through AP Calculus, SAT test prep, and French. I've been tutoring students in science and math for 7 years. I also spent 8 months working and studying in France, and have tutored high school and adult students in French. When ...

Education

Massachusetts Institute of Technology

Masters, Environmental Engineering

Massachusetts Institute of Technology

Bachelors

Test Scores
SAT
1580

Certified Tutor

6+ years

Rhea

Bachelor of Science, Biology, General
Rhea's other Tutor Subjects
AP Statistics
AP Calculus BC
AP Calculus AB
Pre-Algebra

I am a current student at the University of Chicago. I am working towards a Bachelor of Science in Biological Sciences, and I am on the pre-medical track. I am extremely passionate about tutoring, and I have several years of experience tutoring students in my high school's learning center in various...

Education

University of Chicago

Bachelor of Science, Biology, General

Test Scores
Perfect Score
SAT
1550
ACT
36

Certified Tutor

6+ years

Jeffrey

Doctor of Philosophy, Mechanical Engineering
Jeffrey's other Tutor Subjects
Pre-Calculus
Geometry
Calculus
Algebra

I am enrolled in the Mechanical Engineering PhD program at Rice University which will begin Fall 2020, and I am hoping to return to academia as a professor after earning my PhD. In the meantime, I am looking to share my passion for gaining knowledge, specifically in STEM, by educating the up and com...

Education

University of Notre Dame

Bachelor of Science

Rice University

Doctor of Philosophy, Mechanical Engineering

Test Scores
ACT
34

Certified Tutor

Erika

Master of Public Policy, Public Policy
Erika's other Tutor Subjects
Pre-Algebra
Middle School Math
Calculus
Algebra

I am available to tutor middle and high school math, history and test prep. I have tutored math and history in the past and I previously taught a test prep course at a school in Hanoi, Vietnam. I have a lot of experience teaching all the need-to-know tricks to doing great on the SATS/ACTS! When I am...

Education

Harvard University

Master of Public Policy, Public Policy

Test Scores
ACT
32

Certified Tutor

Matthew

Bachelors in Human Biology (concentration in Bioinformatics and Stem Cell Science)
Matthew's other Tutor Subjects
Pre-Algebra
College Algebra
Algebra 3/4
Arithmetic

I'm a highly creative person who works best with visual thinkers. Very recently graduated from Stanford University, I majored in Human Biology with a concentration in Bioinformatics and Stem Cell Science. Technical though my background may be, I am currently gigging as a singer/songwriter/composer i...

Education

Stanford University

Bachelors in Human Biology (concentration in Bioinformatics and Stem Cell Science)

Test Scores
SAT
1510

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MaryAnn

Calculus Tutor • +21 Subjects

I am a published author who has enjoyed “coaching” our daughter, as she navigated through high school, college and graduate school. I mentor college juniors who are seeking careers in financial services, and I serve as a peer resource to professionals who are transitioning from private industry to the nonprofit sector. Hobbies: reading, cooking, writing, books, music, art, travel

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Annie

Pre-Algebra Tutor • +28 Subjects

I am currently a second year medical student. I was a Physiological Sciences major at UCLA (class of 2015), and pursued research during my gap year between undergrad and medical school.

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Charles

AP Calculus AB Tutor • +25 Subjects

I am a junior Mechanical Engineering major at Yale, and I hope to become a Naval Aviator after college. I am also a varsity sailor, and enjoy playing music with friends when I can get some free time. I have been tutoring my fellow students throughout my entire academic career, and I would best describe my tutoring style as one that adapts to each students' needs. For example, I have always tried to frame questions in a different way so that the student can better understand the question. Some students need visual representations of numbers and systems to understand them, and others benefit more by understanding the concepts behind each formula. I prefer to tutor in math and physics, and especially with real world application problems. I hope to help students improve their standardized test scores and their understanding of the math and sciences so that they can achieve their academic goals! Hobbies: art, books, running, reading, music, writing

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Sharon

Pre-Algebra Tutor • +29 Subjects

I am a graduate of the University of Chicago, and I will be starting a graduate program at Columbia in August. I am about to complete a year of service with City Year, an education non-profit that places young adults into under-served schools. As a City Year member, I worked full-time in the classroom with middle-school students who were in approximately the 10th percentile for math (meaning they score lower than 90% of students). One-fourth of those students were able to grow around 15 percentile points by the end of the year! Hobbies: reading, cooking, gardening, music, art, nature, books, writing

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Sami

Pre-Algebra Tutor • +19 Subjects

I am a Duke University graduate in Economics and Computer Science. I am currently pursuing an MBA degree at the Yale School of Management. I have worked in the financial field, both at a management consulting firm and a fortune 500 company. My hobbies include playing and coaching soccer. Hobbies: reading, writing, art, books, music

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Samantha

Pre-Algebra Tutor • +38 Subjects

I'm a first-year medical student and recent graduate from Duke University, where I studied Global Health Determinants, Behaviors, and Interventions. From running a piano program at a nonprofit children's theatre to private tutoring in math, science, and standardized test prep, I enjoy helping my students become confident and self-sufficient learners! Hobbies: photography, travel, reading, music, writing, running, art, books, traveling

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Pinelopi

Pre-Algebra Tutor • +25 Subjects

I am a Duke University graduate with a Bachelors degree in Psychology. I have experience tutoring all levels of Spanish language, all sections of the SAT, as well as algebra, pre algebra, geometry, and pre-calculus! I love kids & I have a very flexible schedule and a lot of patience! Let me help you :)

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Tiffany

Pre-Algebra Tutor • +56 Subjects

I am available to tutor a broad range of subjects, I am passionate about test preparation, Accountancy, and Algebra.

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Zachary

Trigonometry Tutor • +35 Subjects

I am passionate about teaching and tutoring and I thoroughly enjoy helping students gain an understanding and a drive for their studies. I have a long history of working with students of all grade levels and abilities (elementary school through college), and I have a good understanding of strategies to excel in both general academics and standardized tests.

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Tony

Calculus Tutor • +28 Subjects

I am a recent graduate of Yale University and incoming first year medical student at Columbia University. Originally from the DC area, I have always had a passion for science and medicine and pursued a degree in Biology while at Yale. During the 2008-2009 academic year, I tutored science, math, English, history, and Mandarin Chinese part-time with a DC-based tutoring company. At Yale, I worked as a freshman counselor to provide academic and career advice to incoming freshmen. I have taken both SAT and MCAT test prep classes and am familiar with both tests as well as the preparation necessary to score well. My personal career goals include attending medical school to pursue either immunology/infectious diseases or psych/neurology, teaching biology at the university level, and working in public/global health with either the CDC or the WHO.

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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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