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Sungae
Certified Mathematical optimization Tutor
Sungae
BA Sungkyunkwan University • Doctor of Engineering, Mechanical Engineering Texas Tech University
6+ Years Tutoring

Sungae's doctoral work in mechanical engineering involved solving constrained optimization problems — linear programming, gradient descent, Lagrange multipliers — as part of actual design processes. She teaches the theory behind objective functions and feasibility regions while showing students how solvers behave in practice, which makes the math feel purposeful instead of abstract.

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Irene
Certified Mathematical optimization Tutor
Irene
BA University of Patras • Doctor of Philosophy, Mathematics and Computer Science University of Illinois at Chicago
6+ Years Tutoring

Linear programming, gradient descent, and constrained optimization each require translating a real problem into precise mathematical language — then solving it. Irene's background spanning both mathematics and computer science means she tackles optimization from both the theoretical side (convexity, duality) and the computational side, connecting the two so the methods actually make sense.

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Certified Mathematical optimization Tutor
Abby
BA University of Notre Dame
6+ Years Tutoring

A double major in Applied and Computational Mathematics and Statistics from Notre Dame means Abby spent serious time with the tools underlying optimization — linear algebra, multivariable calculus, and statistical modeling — before applying them to problems like constrained minimization and resource allocation. She's particularly strong at breaking down how to set up a problem correctly, connecting the computational steps back to the underlying math so the process doesn't feel like a black box.

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Certified Mathematical optimization Tutor
Andrew
MS Washington University in St. Louis • BA Washington University in St. Louis
5+ Years Tutoring

Andrew's graduate work in electrical engineering put him deep into linear programming, constrained optimization, and gradient descent methods — the kind of problems where setting up the objective function correctly matters as much as solving it. He teaches students to translate real-world engineering constraints into mathematical formulations and then systematically find optimal solutions. Rated 5.0 by students, he brings both the theoretical rigor and applied intuition that optimization demands.

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Certified Mathematical optimization Tutor
Joseph
BA University of Chicago
5+ Years Tutoring

Linear programming, simplex methods, and constrained optimization problems all require a mix of calculus intuition and algebraic precision. Joseph's math coursework at the University of Chicago, combined with his programming skills in Python and Java, means he can walk through both the theory behind optimization and the computational side of implementing solutions. He's especially good at translating word problems into objective functions and constraint sets.

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Certified Mathematical optimization Tutor
Arun
BA IIT Chennai • Doctor of Engineering, Engineering and Industrial Management Princeton University
5+ Years Tutoring

Linear programming models, constraint formulation, and objective function analysis are daily tools in industrial management — and Arun's doctorate is specifically in Engineering and Industrial Management. He teaches optimization not as a purely theoretical exercise but as a decision-making framework, walking through simplex methods and duality with real-world resource-allocation scenarios. That applied perspective makes even the most notation-heavy problems feel purposeful.

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Certified Mathematical optimization Tutor
Sujana
BA CUNY City College
5+ Years Tutoring

Chemical engineers optimize processes for a living — minimizing cost, maximizing yield, balancing constraints — so Sujana's degree gave her hands-on fluency with linear programming, Lagrange multipliers, and objective function formulation. She teaches students to translate real-world problems into mathematical models first, then apply the optimization technique that fits. That modeling step is where most students struggle, and it's where her engineering instincts are most useful.

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Certified Mathematical optimization Tutor
Mimi
MS Harvard University • BA Dartmouth College
6+ Years Tutoring

I am an interdisciplinary educator with an Ed.M. from the Harvard Graduate School of Education and a B.A. from Dartmouth College. My background is primarily in integrated arts learning and museum education and I specialize in visual arts, history and art history, and object-based learning. In all subjects, I take a creative, inquiry-based and learner-centered approach, designing opportunities for each unique individual to meet their learning goals.

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Certified Mathematical optimization Tutor
Aaron
BA The University of Texas at Dallas • Current Grad Student, Mechanical Engineering Duke University
10+ Years Tutoring

I'm not tutoring or buried in my textbooks, you will either find me rock climbing at the Triangle Rock Club, playing Ultimate Frisbee, working on my car, or enjoying the great outdoors (beaches, mountains, forests--you name it, I love it). On rainy weekends I enjoy tinkering with computers and old electronics, playing Pokemon, or picking at my guitar.

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Certified Mathematical optimization Tutor
Nina
MS Columbia University • BA Northwestern University
10+ Years Tutoring

I am a recent graduate from a masters program in biostatistics at Columbia University. I received my Bachelor of Arts in biological sciences, with a focus in neurobiology at Northwestern University. In August, I will be starting a doctoral program in biostatistics at NYU. I was a teaching assistant at Columbia University in my department and also have tutored graduate students and undergraduates privately as well. My primary areas of tutoring are math and statistics coursework in addition to math sections on standardized tests such as the GRE and GMAT. I am very passionate about helping students feel more confident and excited about math. In my spare time, I enjoy running, playing piano, and spending time with friends and family.

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Certified Mathematical optimization Tutor
Reid
PhD Harvard University • BA Wesleyan University
1+ Years Tutoring

I am a graduate of Wesleyan University, where I received my Bachelor of Arts in Sociology with High Honors. With eight years of experience working in education, I've tutored students in math, science, history, and English, as well as helped students prepare for standardized tests. I've guided adults towards passing the US Citizenship Exam and taught English in India, where I lived for six months. Whenever I work with a student I personalize the lessons to fit their particular learning style, since I know every student is unique and having the right fit can make all the difference in making learning fun and effective. My strengths are tutoring the social sciences and humanities, as well as making math and standardized tests approachable to students that normally don't like those subjects. In my spare time I like traveling, spending time in the outdoors (climbing & backpacking), meditation, and playing soccer. Next fall I will be beginning my PhD in Education at Harvard University.

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Certified Mathematical optimization Tutor
Solange
BA Harvard University
8+ Years Tutoring

I'm Solange - a recent graduate from Harvard where I studied Sociology & Women's Studies. I've been tutoring for eight years now, and have worked with a wide range of ages and in a wide range of subjects. Some of my specialties are college prep/test taking II worked in the admissions office on campus); social sciences; and literature/writing.

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Certified Mathematical optimization Tutor
Christopher
BA Harvard College
1+ Years Tutoring

I am a rising sophomore at Harvard College and am about to declare as a Mechanical Engineering concentrator, working towards a Bachelor of Science degree. I've always enjoyed sharing my knowledge with my peers and those around me and have done so in both formal and informal settings. I've been a tutor for both Math and Spanish programs in high school and enjoyed the strides I made with students. I am willing to tutor any subject I have a background in, but am strong in mathematics, the sciences, Spanish, history, writing, and ACT prep. I enjoy teaching mathematics most due to the joy I can see in children once they master a topic and can answer even pointed questions meant to stump them, and maybe even put their knowledge to real world use. As a tutor, I like to give a strong foundation to orient my student, and then gradually grant them more freedom and independence until they can feel themselves grasp the concept, pointing out pitfalls or common errors along the way; teachers who used these methods on me always left the most lasting impressions. Outside of my studies, I really enjoy listening to music, both old favorites and new interests, reading classics, and gaming/playing basketball with my friends.

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Certified Mathematical optimization Tutor
Liz
MS Simmons College • BA Washington University in St. Louis
1+ Years Tutoring

I am a graduate of Washington University in St Louis, where I received my Bachelor of Arts in History with minors in Humanities and Anthropology. Since graduation, I have worked as a tutor, teacher, and director of tutors at a charter public middle school in Boston. During this time I also received my Masters in Mild to Moderate Disabilities from Simmons College. I have worked extensively with students with a range of abilities, including students with specific learning disabilities, emotional impairments, dyslexia, and ADHD. My teaching experience has given me a deep understanding of the knowledge and habits essential to academic success and has given me the opportunity to hone a variety of strategies that ensure students at each level can achieve their academic goals. While I tutor a broad range of subjects, my favorite ones are Reading, Elementary/Middle School Math, History, and Test Prep. In my experience, tutoring is the most rewarding when a student has that "aha!" moment and achieves a new level of understanding and confidence in his/her abilities. I am a firm believer in the transformative power of education, and I see my role to be that of a facilitator and coach who is there to help the student reach his/her goals through individualized support and rigorous practice. In my free time, I enjoy reading, running, practicing my Spanish, and discovering new music. I am also an avid traveler and just got back from a 3 month trip to South America. I look forward to the opportunity to work with you!

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Certified Mathematical optimization Tutor
Michelle
MD Baylor College of Medicine • BA Rice University
1+ Years Tutoring

I am proud to be a part of Varsity Tutors! I am originally from San Antonio, TX; I completed my undergraduate education at Rice University in Houston where I received a bachelor's degree in Biochemistry and Cell Biology. Currently, I am in my second year of medical school at Baylor College of Medicine.

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Certified Mathematical optimization Tutor
Charles
BA Yale University
1+ Years Tutoring

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!

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Certified Mathematical optimization Tutor
Justin
BA Washington University in St. Louis • Doctor of Philosophy, Computational Mathematics University of Chicago
9+ Years Tutoring

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 Computational and Applied Mathematics. I've tutored introductory physics students for three years and enjoyed it thoroughly, as a chance to help other students while revisiting fundamental concepts to enhance my own knowledge. I'm eager to continue reaching out and helping students of math and physics to succeed and, furthermore, to appreciate the beauty and power of these subjects.

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Certified Mathematical optimization Tutor
Andrew
BA University of North Texas • Doctor of Philosophy, Biomedical Engineering Vanderbilt University
6+ Years Tutoring

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

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Certified Mathematical optimization Tutor
Daniel
BA Brown University
10+ Years Tutoring

I am excited to be home and help fellow straphangers on their educational paths! My largest wealth of tutoring experience is in foreign languages--particularly French--but I also feel very comfortable editing essays of any kind and working through standardized test concepts. My availability is extremely flexible, and anywhere in New York City works for me. I look forward to working with you.

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Certified Mathematical optimization Tutor
Isabella
BA Massachusetts Institute of Technology • Current Grad Student, Operations Research Georgia Institute of Technology-Main Campus
9+ Years Tutoring

I am a graduate of MIT. I received my Bachelor of Science in Mathematics with minors in Management Science and Ancient and Medieval Studies. Since graduation, I have started my PhD at Georgia Tech in Operations Research. Throughout my career I have TA'd several math and computer science courses at the college level. I have also taught at summer programs for gifted middle school and high school students. I am passionate about tutoring kids in math and science because I think that a strong foundation in STEM at an early age can set the tone for their future. In my spare time I like to engage in athletics, and was a Division 1 rower in college.

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Certified Mathematical optimization Tutor
Henry
BA Harvard College
9+ Years Tutoring

I'm eager to help you in your education. I'm a recent graduate of Harvard College looking to apply to law school. My senior thesis was written on John Dewey's ideas of education, which I deeply believe has incredible power to transform individuals and society.

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Certified Mathematical optimization Tutor
Ingrid
BA Northwestern University
6+ Years Tutoring

I am exploring my creativity by pursuing a double major in Asian Languages and Cultures with a focus in Korean, studying abroad in South Korea as a Benjamin A. Gilman Scholar, leading workshops that teach 3D printing and CAD for undergraduate students as the president of 3D4E, advocating for the first-generation and low-income student community as the Outreach Chair of the Quest+ Scholars Network, and getting involved with the Society of Women Engineers' outreach committee. I currently hold a work-study position as an administrative clerical aide in the Institute of Sustainability and Energy at Northwestern and was an undergraduate researcher in the John Rogers Lab. As I look forward with aspirations of applying to graduate school, areas of research in biomedical engineering and biotechnology that I am particularly interested in include biomaterials, pharmaceuticals, and drug delivery systems. Outside of the classroom, I enjoy learning on my own and sharing my experience and knowledge with my peers and other students. I hope to make use of my experiences with academics and learning in high school and so far in my undergraduate career in order to effectively tutor students who may be experiencing the same struggles in learning that I also experienced.

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Certified Mathematical optimization Tutor
Elena
MS University of Edinburgh • BA Mcgill University
1+ Years Tutoring

I am a graduate of McGill University (BA First Class Honors) and the University of Edinburgh (MSc First Class Honors with Distinction) with over eight years of tutoring experience. I am currently a curriculum developer for a company which creates relatable and culturally-literate courses for middle and high-schools, and am particularly adept at communicating and explaining concepts in a quirky, engaging, and intelligent manner. I was named Scotland International Young Thinker of the Year 2014 for exactly that sort of work. Much of my tutoring background is in test-prep and essay coaching, which I enjoy because it allows the tutor and student to think strategically together, and work as a team to achieve concrete results. I have worked with students ranging in age from 6-32, and believe that, in an educational context, a few jokes never hurt anybody. I love reading and learning, and my educational approach is centered around making the material just as engaging to students as it is to me. I think J.K. Rowlings, the writer of Harry Potter, is just as brilliant as Stephen Hawking, and in my free time, I manage my (terrible) fantasy baseball team, write songs for my comedy band, and crack jokes about terrible science-fiction movies with my friends.

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Certified Mathematical optimization Tutor
Asta
BA University of Chicago
1+ Years Tutoring

I am a graduate of the University of Chicago where I received my undergraduate degree in political science. Right after graduation, I worked as an academic and test prep tutor as well as admissions consultant in Hong Kong. For the past two years, I worked with a number of students to help prepare them for college in the United States.

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Certified Mathematical optimization Tutor
James
BA Harvard University
1+ Years Tutoring

I am currently a senior at Harvard College where I study chemistry, and I'll be attending Columbia Medical School next year. I have years of experience tutoring college students in math (mostly calculus) and chemistry including both general and organic chemistry. In addition, I am very familiar with all sections of the SAT and ACT having prepared several high school students for these tests. I believe that every student is capable of boosting his or her baseline score on these tests, so long as he or she works hard to get to know the format of the tests and the most popular types of questions. I tutor because I love seeing students develop a genuine passion for the subjects they once disliked (such as math and science), once they understand the power of these subjects and their applications to the real world.

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Certified Mathematical optimization Tutor
Justin
BA University of Chicago • Current Grad Student, Philosophy University of New Mexico-Main Campus
1+ Years Tutoring

I am a graduate of the University of Chicago where I received my Bachelor of Arts in Philosophy. Currently, I am in the master's program at the University of New Mexico where I am continuing my education in philosophy. Ultimately, I hope to go on to earn a PhD in Philosophy so that I can continue engaging in my passions for learning and teaching. While in school, I have spent countless hours coaching high school speech and debate both in person and working online with students across the country. My focus in coaching has been to emphasize philosophy and critical thought to prepare students to think through novel arguments on their own. I am passionate about teaching and tutoring because I love seeing students learn to be intellectually independent and think through problems on their own terms by developing their critical thinking skills. I have devoted my life to education because I am passionate about it, and I try to share some of my passion for learning with the students I work with. I tutor all sorts of Standardized Tests, and I particularly enjoy working on logic-based problems like analogies and math sections. When I am not tutoring or reading for school, I enjoy strategy games (both board games and video games), listening to music, hiking, playing basketball, and just relaxing with friends.

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Certified Mathematical optimization Tutor
Sabira
BA Johns Hopkins University
5+ Years Tutoring

I am currently attending Johns Hopkins University, pursuing a dual degree in Computer Science and Applied Math and Statistics. I love helping students and I love the feeling I get knowing that I was able to use my knowledge to make someone else happier. My favorite subject to teach is math because there are so many ways to learn it and if one way does not help I can use another. I used to teach taekwondo and interacted with all kinds of students, and I'm excited to help out more!

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Certified Mathematical optimization Tutor
Keith
BA Williams College • Juris Doctor, Prelaw Studies Cornell University
5+ Years Tutoring

I am a recent graduate of Williams College, where I studied political science with sidelines in history and English. Next fall, I am headed to Ithaca to study at Cornell Law School. I have experience tutoring in all subjects for high school standardized tests and in writing and history at higher levels, and am excited to pass on the benefits of my study as a tutor for the LSAT. I look forward to working with you!

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Certified Mathematical optimization Tutor
Shayan
BA University at Buffalo • Current Grad Student, Pre-Health University of Pennsylvania
1+ Years Tutoring

I'm a pre-health student at the University of Pennsylvania, and have an extensive background in the sciences. I can also rock the SATs and MCAT, so I've got that going for me. I love learning with students and trying to make the tedious work of learning as fun as possible. I think and teach in examples and make abstract concepts easily understandable. I also love sports, adventures, travelling!

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Lauren
MS University of Chicago • BA Kent State University at Kent
7+ Years Tutoring

I'm glad you've come to my page. I'm here as an experienced tutor and mentor who likes to listen to your specific needs and create an environment and plan ideal for your learning level and experience. Whether it's immediate assistance with an exam or long-term goals and improvement, I'm here to help!

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Certified Mathematical optimization Tutor
Renee
BA Colgate University • Doctor of Philosophy, Spanish and Iberian Studies Princeton University
6+ Years Tutoring

I am passionate about education, learning, teaching, and specifically literatures and languages. I have experience as an ESL teacher for young children and teens, as well as experience working as a Writing Consultant at my undergraduate institution. I also spent all four years of my undergraduate career volunteering as an SAT tutor for local high schoolers. Beyond this, I have experience both as a private and public Spanish tutor. I love to help students reach their educational and personal goals in any way that I can.

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Certified Mathematical optimization Tutor
Sam
PhD University of Iowa • BA Northwestern University
9+ Years Tutoring

I am flexible and adaptive to different learning styles. I welcome students and/or parents to set their own goals/expectations, and I tailor the curriculum to suit those goals.

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Matt
BA University of Pennsylvania
9+ Years Tutoring

I am a very motivated individual that will ensure all my students succeed in their studies. I have a great teaching style that is unique to each student that I work with, and I work hard to make sure my students not only master the material they need to learn, but also understand how to study and prepare on their own.

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Sherry
BA University of Chicago
10+ Years Tutoring

I am a graduate of the University of Chicago, with a bachelor's degree in psychology and linguistics. Currently, I am pursuing a master's degree in speech-language pathology at Teachers College, Columbia University. In the past, I have worked as a teacher's aide in a public school classroom, a mentor to middle school girls, an instructor and tutor at the literacy education organization 826, and a summer camp counselor. I tutor a diverse range of subjects, and I find that I especially enjoy tutoring language arts, reading, and writing at all levels, from elementary school all the way up to college/grad school test prep. As a tutor, I am committed to helping students reach their full potential as learners. Throughout my years as an educator, I have seen firsthand the remarkable academic growth that can occur when tutors provide students with the individualized support that they need. In my spare time, I enjoy reading, journaling, and learning about other languages and cultures.

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Emily
MS Yale University • MS Yale School of Public Health
9+ Years Tutoring

I am a Yale graduate with over 8 years experience tutoring students from a variety of backgrounds. I recently graduated from the Yale School of Public Health with a MPH concentrating in Epidemiology and Global Health. I also received my B.S. from Yale with a double major in Molecular, Cellular, and Developmental Biology and French. I have experience both leading group classes and working with students one on one. I will respond to a student's strengths, weaknesses, and learning style in order to help them succeed and make the most of our time together. I earned a perfect score of 36 on the ACT, 2280 on the SAT, and qualified as a National Merit Scholar on the PSAT. I look forward to working with you!

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Certified Mathematical optimization Tutor
Ben
BA University of Pennsylvania
10+ Years Tutoring

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.

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Brittney
MS Grand Valley State University • BA Princeton University
8+ Years Tutoring

I'm a graduate of Princeton University (2009), with a degree in Comparative Literature. I'll be receiving my masters degree in English from Grand Valley State University this fall and I'm looking forward to working with students like you! I've been teaching and tutoring students since 2008 and I specialize in English, Reading, Writing, Essays, and College Entrance Test Prep.

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Shelley
BA Northwestern University • Current Grad Student, Clinical Psychology Duke University
1+ Years Tutoring

I am a doctoral candidate in Clinical Psychology at Duke University. My job requires excellent mathematics, analytic, and writing skills, which are also my favorite subjects to teach. I have experience teaching kids in elementary, middle, and high school, as well as college-aged students. My particular expertise is in managing attention and assisting with executive functioning (e.g., time management and planning).

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Sung
BA Yale University
13+ Years Tutoring

I am specializing in the ACT. My tutoring approach, while covering test-taking techniques, will also emphasize the wisdom and skills needed to understand the root of the test questions. I hope that I can come alongside you to help and encourage you in your life pursuits.

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Julie
BA Princeton University
1+ Years Tutoring

I am a rising junior at Princeton University pursuing a Bachelors of Arts in Philosophy with a certificate in Statistics and Machine Learning. I am highly passionate about education: during the academic year, I serve as a volunteer tutor for the Petey Greene Program, which provides educational assistance to those incarcerated in New Jersey prisons; after graduation, I hope to work toward becoming a high school mathematics teacher. This summer, I am interning part-time at IntegrateNYC4me, a nonprofit that seeks to integrate New York schools. I believe that quality educational opportunities should be accessible to all, and I hope to dedicate my career toward realizing this vision!

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Testimonials

Because the right Mathematical optimization tutor makes all the difference.

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Worked with a Mathematical optimization Tutor

Your customer interface is A+, being your agents or your site, The tutor you found for me is perfect, no formulas or canned lectures but easy flowing lecture addressing my needs. Congratulations for a job well done.

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Julio Aranovich
Worked with a Mathematical optimization Tutor

Heejin has been very patient with me. I work a full time job sometimes even on the weekends. It has been a slow process with my Korean classes, but Heejin has been wonderful and patient.

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Worked with a Mathematical optimization Tutor

My son has had many quality tutors through this convenient service, and he can hop on at any time of day to get support for a homework assignment or test. It's very convenient and effective.

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Worked with a Mathematical optimization Tutor

I've been working with my tutor for a few months now and the progress has been remarkable. The personalized attention and tailored lessons made all the difference compared to in-classroom learning.

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Michael Chen
Worked with a Mathematical optimization Tutor

The flexibility of scheduling combined with the quality of instruction is unmatched. I can get help exactly when I need it, whether that's late at night or early in the morning before a test.

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My daughter went from dreading her sessions to looking forward to them. The tutor made the material engaging and built her confidence in ways I never thought possible. Highly recommend.

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Frequently Asked Questions

Mathematical optimization is the study of finding the best possible solution to a problem within given constraints—whether that's maximizing profit, minimizing cost, or optimizing resource allocation. It's a powerful tool used across engineering, economics, logistics, data science, and machine learning.

Understanding optimization helps students develop critical thinking skills and see how mathematics applies to real-world decision-making. It bridges procedural calculations and conceptual problem-solving, requiring students to not just perform operations but also understand trade-offs and why certain solutions work better than others.

Many students struggle with translating real-world scenarios into mathematical models—turning a word problem into equations and constraints. Others find it difficult to visualize optimization problems graphically, especially when working in multiple dimensions.

Additionally, students often feel overwhelmed by the abstract nature of proving why a solution is optimal, or frustrated when calculus-based methods (like Lagrange multipliers) feel disconnected from intuition. Personalized tutoring helps by breaking down the translation process step-by-step, building visual understanding before introducing formal proofs, and connecting methods back to the underlying concepts.

Many students learn calculus procedures (finding derivatives, setting them to zero) without grasping why these steps actually find optimal solutions. A skilled tutor helps make this connection explicit by showing how derivatives represent rates of change and how critical points reveal where values stop increasing or decreasing.

Tutors can use multiple approaches—graphing functions to see peaks and valleys, working through verbal descriptions before introducing equations, and repeatedly showing how the algebra connects back to the geometry. This conceptual understanding makes it easier to apply optimization techniques in new contexts rather than just memorizing formulas.

Linear programming deals with maximizing or minimizing a linear objective function subject to linear constraints—often visualized as finding the optimal corner point of a polygon. Nonlinear optimization involves curved objective functions or constraints, which requires calculus-based methods and is generally more complex.

The approach differs: linear programming often uses graphical methods or the simplex algorithm, while nonlinear optimization typically requires calculus (finding gradients and Hessians) or numerical methods. A tutor can help you recognize which type of problem you're facing, choose the right technique, and understand why different methods work for different situations.

The key is practicing a systematic translation process: identify what you're trying to optimize (your objective function), list all constraints and limitations, define your variables clearly, and then write out the mathematical model in symbols. Many students skip these steps and jump straight to equations, which creates confusion.

Tutoring helps by having you practice this translation repeatedly with different types of problems—whether it's a production/cost scenario, a resource allocation problem, or a geometry-based optimization challenge. Tutors also teach you to sanity-check your model by asking: "Does this equation actually capture what the problem is asking?" and "Do my constraints make sense?" This builds confidence and reduces the abstraction anxiety many students feel.

Look for a tutor who can explain not just how to solve problems, but why methods work. They should be comfortable with multiple approaches (graphical, algebraic, calculus-based, numerical) and able to choose the clearest one for your learning style.

The best tutors also ask questions that help you think through problems rather than just showing you solutions. They should be patient with the frustration that comes with abstract thinking, help you build connections between concepts, and give you strategies for checking your work and catching errors. Experience with your specific curriculum or exam (like optimization problems in AP Calculus or linear algebra courses) is also valuable.

Start by working with concrete, visual problems where you can graph the objective function and constraints. Seeing the feasible region and optimal point graphically makes the concept much less abstract than just manipulating equations. Practice showing your work at every step, even when it feels tedious—this helps you catch mistakes and builds a clearer understanding.

Work through progressively harder problems rather than jumping to complex ones, and regularly go back to simpler examples to reinforce core concepts. Tutoring helps by pacing your learning carefully, celebrating small wins, and repeatedly showing you that optimization is just logical problem-solving with mathematics as the tool. Many students' anxiety decreases significantly once they see patterns and realize they can solve these problems systematically.

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