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Kate
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 ...
Massachusetts Institute of Technology
Masters, Environmental Engineering
Massachusetts Institute of Technology
Bachelors
Certified Tutor
9+ years
Jai
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'...
Stanford University
Bachelors in Electrical Engineering and Computer Science
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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...
Nova Southeastern University
PHD, Medicine
University of Pennsylvania
Bachelors, History
University of Pennsylvania
undergraduate
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6+ years
Jeffrey
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...
University of Notre Dame
Bachelor of Science
Rice University
Doctor of Philosophy, Mechanical Engineering
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6+ years
Rhea
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...
University of Chicago
Bachelor of Science, Biology, General
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Erika
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...
Harvard University
Master of Public Policy, Public Policy
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6+ years
Samuel
I am a freshman at Caltech majoring in Applied and Computational Mathematics. My favorite subject to tutor is math because I find it very rewarding to simplify complex topics to aid in understanding. I have lots of tutoring experience. In high school, I ran and taught an SAT prep class and was vice ...
California Institute of Technology
Bachelor of Science, Applied Mathematics
Certified Tutor
10+ years
Zachary
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...
Yale University
Bachelors, Biochemistry and Biophysics
Certified Tutor
9+ years
Sharon
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 classro...
Columbia University in the City of New York
Master of Science, Journalism
University of Chicago
Bachelor in Arts
Certified Tutor
9+ years
Annie
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.
University of California Los Angeles
Bachelors, Physiological Sciences
Drexel University College of Medicine
Current Grad Student, MD
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Pinelopi
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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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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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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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Quinn
Calculus Tutor • +17 Subjects
I am willing to address any issue with an open mind and I try to develop strategies that play to a student's strengths. I would like to think I am very approachable and personable, and I have had very positive experiences with many students in the past using this philosophy. Outside of academics, I love playing basketball and watching sports, as well as chilling with friends, listening to music, and keeping up with politics and current affairs.
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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 in NYC and tackle even the most hard-science of problems with a top-down, big-picture, holistic approach. If you have a propensity to look at problems in a cross- or inter-disciplinary manner (or want to learn how to do so), I'm the tutor for you!
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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
Students typically struggle most with the conceptual leap from standard calculus to understanding how geometric measures interact with integrals. The biggest pain points are: visualizing how measures on curves and surfaces behave under transformations, understanding the relationship between differential forms and geometric quantities, and connecting abstract measure theory to concrete geometric problems. Many students also find the transition from Euclidean to non-Euclidean settings conceptually demanding, and struggle to see how classical results (like the Cauchy-Crofton formula) emerge naturally from the underlying theory.
Tutors skilled in Integral Geometry break down transformations by starting with concrete examples—like how arc length behaves under rotation or scaling—before moving to abstract invariance principles. They help students visualize how measures on curves and surfaces change (or stay constant) under group actions, often using diagrams and parametric representations to make the geometry tangible. A strong tutor will connect these transformations back to the integral formulas students are working with, showing how symmetry reduces computational complexity and why certain quantities are invariant under specific transformations.
Many Integral Geometry students feel caught between abstract measure-theoretic definitions and geometric meaning. Tutors bridge this gap by starting with geometric intuition—what does a measure actually represent in physical or spatial terms?—then showing how the formal definitions capture that intuition rigorously. For example, a tutor might explain Haar measure on a group by first exploring how it generalizes arc length, or introduce differential forms by connecting them to area and volume elements students already understand. This approach helps students see that the abstraction serves the geometry, not the reverse.
Effective Integral Geometry tutors teach students to identify the symmetry and invariance structure of a problem first, before diving into calculations. Key strategies include: recognizing which group actions are relevant, determining what measures or quantities should be preserved, and using Fubini's theorem or change-of-variables formulas to simplify integrals over transformed spaces. Tutors also help students develop the habit of checking whether a result makes sense geometrically—does the formula capture the expected symmetries? This strategic approach prevents students from getting lost in computational details and builds confidence in tackling unfamiliar problems.
Tutors work with students to build intuition by consistently asking 'what does this mean geometrically?' and encouraging students to sketch, visualize, and explore examples before generalizing. They help students see patterns—like how the Cauchy-Crofton formula relates line intersections to curve length, or how kinematic measures encode information about motion and shape. Through targeted examples and guided exploration, tutors help students internalize why certain theorems hold and recognize when they apply, transforming Integral Geometry from a collection of abstract formulas into a coherent framework for understanding geometric measurement.
A strong Integral Geometry tutor should have deep familiarity with differential geometry, measure theory, and group actions—the foundational tools of the subject. Beyond technical knowledge, look for someone who can explain abstract concepts through concrete examples and has experience helping students transition from computational to conceptual understanding. The best tutors also understand common misconceptions (like confusing invariant measures with constant functions, or misapplying symmetry arguments) and can diagnose where a student's understanding breaks down, then rebuild it from the ground up.
For students new to Integral Geometry, tutors focus on building foundational understanding of how measures work geometrically and establishing comfort with differential forms and group actions. For intermediate students, tutoring emphasizes problem-solving strategies, recognizing when classical theorems apply, and developing fluency with transformations and invariants. Advanced students benefit from tutors who can help them see connections to broader mathematics—how Integral Geometry relates to harmonic analysis, representation theory, or applications in stochastic geometry—and support them in tackling research-level problems or independent projects.
Tutors teach students to structure proofs by first identifying the key geometric insight or invariance principle, then showing how the formal definitions and theorems support that insight. They emphasize clarity in notation, careful justification of measure-theoretic steps (like when Fubini's theorem applies), and explicit connection between abstract formulas and geometric meaning. By reviewing student work and asking 'why does this step work?' and 'what geometric property are we using here?', tutors help students move beyond mechanical symbol manipulation to writing proofs that demonstrate genuine understanding of the underlying geometry.
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