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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
Rasa

Certified Tutor

Rasa

Bachelor in Arts, Anthropology, Educational Studies
Rasa's other Tutor Subjects
ACT Prep
ACT English
ACT Math
ACT Reading

I graduated from Washington University in St. Louis in May 2014 with a Bachelor of Arts in Anthropology and Educational Studies and a minor in Political Science. I had two years of teaching experience with Breakthrough Collaborative as well as relevant undergraduate coursework to supplement my tutor...

Education

Washington University in St Louis

Bachelor in Arts, Anthropology, Educational Studies

Test Scores
ACT
35
Hervé

Certified Tutor

2+ years

Hervé

Bachelors, Electrical and computer engineering
Hervé's other Tutor Subjects
Algebra
Algebra 2
Conversational French
French

I enjoy meeting new people and enjoy what they have to say, i have always loved math and sciences; I know!! I am a nerd but people says i don't look like one. I enjoy video games, sports (I play soccer three time a week) good food and social hours.

Education

Northern Illinois University

Bachelors, Electrical and computer engineering

Michelle

Certified Tutor

4+ years

Michelle

Masters in Education, Curriculum and Instruction
Michelle's other Tutor Subjects
Adult ESL/ELL
English
ESL/ELL
Essay Editing

Academic instruction is authentic, discussion-oriented, and interdisciplinary in order to create a holistic understanding, critical questioning, and evaluation for a person to grow cognitively and spiritually, promoting the betterment of a multicultural, ever-changing world.

Education

Appalachian State University

Masters in Education, Curriculum and Instruction

University of North Carolina at Greensboro

Bachelor in Arts, Social Studies Teacher Education

Carson

Certified Tutor

6+ years

Carson

Bachelor in Arts, Philosophy
Carson's other Tutor Subjects
ACT Prep
ACT English
ACT Math
ACT Reading

I graduated from the University of Oklahoma this August with a degree in Philosophy. I also have minors in Classics and English Literature, which is my favorite subject and pastime. My training in Philosophy has taught me to identify and explain central concepts of a written work, and this training ...

Education

University of Oklahoma Norman Campus

Bachelor in Arts, Philosophy

Test Scores
SAT
1510
ACT
35
Arjun

Certified Tutor

Arjun

Juris Doctor, Law
Arjun's other Tutor Subjects
English Language Arts Substitute
Graduate Test Prep
LSAT
LSAT Analytical Reasoning

I received a BA in Philosophy from Boston University and a JD from Columbia Law School. After my sophomore year at College I taught a history class in India. While studying for the LSAT I gave my friends informal tutoring sessions. I have tutored all multiple choice sections of the LSAT formally sin...

Education

Boston University

Bachelor in Arts, Philosophy

Columbia Law School

Juris Doctor, Law

Test Scores
LSAT
176
Titus

Certified Tutor

4+ years

Titus

Bachelor of Science, Mechanical Engineering
Titus's other Tutor Subjects
ACT Prep
ACT Math
Algebra
Calculus

Howdy, my name is Titus Klutz. I am a Sr. In Mechanical Engineering at Texas A&M University. I absolutely love physics and math and like watching how it is applied in the world around us. My desire is to show students how beautiful these subjects are. Achieving the moment in learning where the topic...

Education

Texas A & M University-College Station

Bachelor of Science, Mechanical Engineering

Yucheng

Certified Tutor

6+ years

Yucheng

Bachelor of Science, Mechanical Engineering
Yucheng's other Tutor Subjects
Algebra
Algebra 2
Algebra REGENTS
AP Calculus AB

Hello! My name is Yucheng and 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
Elizabeth Ann

Certified Tutor

2+ years

Elizabeth Ann

Bachelor's
Elizabeth's other Tutor Subjects
6th Grade AP Language Composition
ACT English
Admissions
CLEP Prep

I am a graduate of both Western Governor's University and Liberty University. I received my Bachelor of Arts in Secondary Education with a focus on Social Studies and English Language, and My Master's Degree in Rhetoric and Composition. I have been an educator for the past 28 years. I am most passio...

Education

University

Bachelor's

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Rae

Accounting Tutor • +56 Subjects

I graduated from the University of Pennsylvania's Wharton School of Business in December with a degree in international business management and legal studies. I currently work in Corporate Strategy. I have worked with numerous students throughout my 5+ years of tutoring, each with unique learning styles. I am an excellent resource for students of all ages!Having worked and traveled to 6 continents, I have advanced my communication skills by engaging with people from various cultures and backgrounds. I am well-versed in numerous subjects and am happy to work around busy school schedules.

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Charles

AP US History Tutor • +35 Subjects

I am thrilled to bring my successful experience as an educator, vast subject knowledge and passion for teaching to Varsity Tutors. I possess a Master's Degree in Education from Hofstra University as well as an Advanced Certification in School Leadership from SUNY Stony Brook. In addition my professional credentials include New York State teaching certification in Social Studies (7-9), NYS School Building Leadership and NYS School District Leadership. I have taught social studies for ten years including courses in American History and Government (Regents), AP USH and Civics.I went into teaching because I wanted to change the world. I know this sounds overly idealistic but I have managed to realize this mission. You see changing the world is not the monumental task it seems. What I have found is that when I help one student to learn than I have changed the world. When this learning enables my student to take another step towards realizing their potential than I have changed the world. As an educator this has always been my mission and I am pleased to continue it with Varsity Tutors.

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Dilruba

10th Grade Math Tutor • +45 Subjects

I can help you better understand basics concepts of mathematics and show you how they can be applied in everyday life through realistic illustrative examples. I am currently teaching at two different Universities as an Adjunct in their Mathematics and Engineering Departments, so I can offer different perspectives and a great variety of solution techniques to any kind of math problem.

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Abhiruchi

ACCUPLACER Arithmetic Tutor • +46 Subjects

I am a Masters in Pharmaceutical Sciences Graduate from Campbell University, NC and have over 10 years of experience in tutoring Mathematics to middle school, high school, undergraduate and graduate students.

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John

Algebra Tutor • +6 Subjects

I received my degree in Biomedical Engineering at Purdue University at IUPUI in Indianapolis. I have worked countless hours with classmates and friends tutoring them to prepare for exams and class projects. I currently tutor pre-Algebra, Algebra, Geometry, Trigonometry, and Calculus. I love tutoring Trigonometry best because trig comes up countless times in engineering and it is now somewhat dear to my heart; however, Algebra is just as important since it is the building block towards something greater. My tutoring philosophy is that learning should be fun. The more you know, the stronger you are as a person. Learning shouldn't be a tedious exercise but an empowering tool. When I tutor, I attempt to inspire, to show the big picture and why this stuff matters by using real world examples that students can relate to. Education aside, I'm sure we have a lot in common. I'm a pretty normal guy who enjoys his down time. I like sci-fi movies and books, video games, biking, and hanging out with my friends. I think school and academics are very important; however, having fun and knowing who you are are just as crucial.

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Emma

ACT Math Tutor • +20 Subjects

Hello! My name is Emma and I'm 23 years old. My tutoring experience began in high school when I tutored elementary, middle, and high school-aged students in math, Spanish, and language arts. In math specifically, I've tutored students in pre-algebra, algebra, geometry, and trigonometry, and have experience working with students who have fear and/or low self-confidence in math. During college, in addition to completing a math minor, I tutored undergraduate and graduate students in statistics. I've also worked as a college instructor, and am familiar with learning processes. If needed, I can provide a reference from a family I've helped to tutor.Outside of my tutoring experience, I have a goal to run a 5K in every state in the U.S. with my mom! We have checked off 27 states so far! I also enjoy knitting, cooking, and reading!I'd love to be considered to tutor for you! Please feel free to reach out if you have any questions about me or my experience!

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Meghana

Abstract Algebra Tutor • +47 Subjects

Howdy! My name is Meghana, and I am a BS/MD program student and President's Endowed Scholar at Texas A&M University studying neuroscience/biology and English. I enjoy helping my students with the SAT and ACT, English grammar, literature, writing, and AP subjects, especially in the sciences. Please feel free to message me for more info or to schedule a session. Thank you!

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Taneka

IB Biology Tutor • +4 Subjects

My students would probably describe me as scientifically sound, passionate, energetic, creative, strict and diplomatic. I hold all of my students accountable and expect them to leave my classes understanding their material down to a Cellular and Molecular level.My background is Science, Research, Education and Fashion Design. I graduated with a B.S. (2003) and M.S. (2007) in Molecular, Cellular and Microbial Biology. I completed my thesis in an Immunology lab that focused on the introduction of immunological cells, such as T-Cells, Dendritic Cells and Macrophages. I analyzed my results through many arrays of mRNA and Protein analysis; such as Real-Time PcR, Western Blots, Immunohistochemistry, and FACs Analysis. I then pursued a Ph.D at Northwestern University in 2006. During this time, I published the results of my Prostate Cancer research surrounding Developmental Biology at the Robert H. Lurie Research Center of Children's Memorial Hospital. After leaving the Ph.D. Program, I began teaching Biology courses at C.S.U. This led me back to school to complete a M.A.T. and Secondary Teaching Certificate at National-Louis University. I then taught for Chicago Public Schools from Middle School to Senior Level, alongside of teaching Biology courses for City Colleges of Chicago. After the major turn-around that occurred for CPS in 2013, I decided to expand upon my Fashion Engineering skills and enroll in a Fashion Design Program. I recently completed my B.F.A. in Fashion Design this past March (2016). Fashion Design has led me into designing, drafting and sewing my own collections; along with working for a modern-day, British, shirt-making company focusing on Visuals, Operations and Sales."The unseen threads that link us together sustain our existence, explain our connections, and define our destiny." ~T.s. Douglas, 2016

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Ahmani

Algebra Tutor • +3 Subjects

I am a junior at the University of North Florida. I am a double major, my first major being Math Education with a concentration in grades 6-12 and my second major being Mathematics.Math has always been my strong suit and I have always loved helping people with their math. However, being a math teacher was not my first career choice. Before college, I thought of being an OBGYN, right before I went to college, I changed my mind to be an Athletic Trainer.I finally decided to change my major to Math Education after helping 3 friends pass their college math classes. And after my first official tutoring gig, I decided to add the second major, Mathematics, so that I can get a deeper concept of math.Currently, I work at Panera Bread and also the UNF Preschool. Although I will keep both jobs, I want to tutor to really get that experience of helping different students with their math, as each student is different and may need different teaching styles.

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Merilin

Algebra Tutor • +10 Subjects

Hi! My name is Merilin, I am a super friendly, fun, and energetic tutor that looks forward to making learning fun!

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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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