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Award-Winning Mathematical optimization Tutors

Certified Tutor
6+ years
Sungae
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 ...
Sungkyunkwan University
Bachelor of Engineering, Mechanical Engineering
Texas Tech University
Doctor of Engineering, Mechanical Engineering

Certified Tutor
6+ years
Irene
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,...
University of Patras
Bachelor of Science, Mathematics
University of Illinois at Chicago
Doctor of Philosophy, Mathematics and Computer Science
Certified Tutor
6+ years
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...
University of Notre Dame
Bachelor of Science
Certified Tutor
5+ years
Andrew
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 engineerin...
Washington University in St. Louis
Master of Science, Electrical Engineering
Washington University in St. Louis
Bachelor's in Biomedical Engineering
Certified Tutor
5+ years
Joseph
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...
University of Chicago
Bachelor of Science, Mathematics
Certified Tutor
5+ years
Arun
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...
IIT Chennai
Bachelor of Science, Civil Engineering
Princeton University
Doctor of Engineering, Engineering and Industrial Management
Certified Tutor
5+ years
Sujana
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 m...
CUNY City College
Bachelor of Engineering, Chemical Engineering
Certified Tutor
6+ years
Mimi
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 su...
Harvard University
Masters in Education, Education
Dartmouth College
B.A.
Certified Tutor
10+ years
Aaron
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 e...
The University of Texas at Dallas
Bachelors, Mechanical Engineering
Duke University
Current Grad Student, Mechanical Engineering
Certified Tutor
10+ years
Nina
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 ...
Columbia University
Masters in biostatistics
Northwestern University
Bachelor of Arts in biological sciences (focus in neurobiology)
Columbia University in the City of New York
Current Grad Student, Biostatistics
Certified Tutor
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...
Harvard University
PHD, Education
Wesleyan University
Bachelor in Arts, Sociology
Certified Tutor
Michelle
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 Medici...
Baylor College of Medicine
Current Grad Student, M.D.
Rice University
Bachelor's in Biochemistry and Cell Biology
Certified Tutor
Charles
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 descr...
Yale University
Bachelor of Science, Mechanical Engineering
Certified Tutor
8+ years
Solange
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 campu...
Harvard University
Bachelor in Arts (Sociology & Women's Studies)
Certified Tutor
Christopher
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 tut...
Harvard College
Bachelor of Science, Mechanical Engineering
Top 20 Math Subjects
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Reid
Pre-Algebra Tutor • +35 Subjects
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.
Michelle
Pre-Algebra Tutor • +27 Subjects
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.
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
Solange
Calculus Tutor • +31 Subjects
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. Hobbies: books, hiking, reading, music, writing, art
Christopher
AP Calculus AB Tutor • +51 Subjects
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. Hobbies: writing, art, books, reading, gardening, music
Liz
Pre-Algebra Tutor • +40 Subjects
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!
Justin
AP Calculus BC Tutor • +48 Subjects
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.
Justin
Calculus Tutor • +38 Subjects
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.
Isabella
Pre-Algebra Tutor • +27 Subjects
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. Hobbies: reading, swimming, writing, books, music, running, art
Andrew
Pre-Algebra Tutor • +26 Subjects
I am comfortable tutoring math subjects up to multivariable calculus and differential equations, as well as college physics. Hobbies: books, music, art, reading, writing
Top 20 Subjects
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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