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Irene
I am a retired math teacher, who just has too much time on her hands!!!
University of Patras
Bachelor of Science, Mathematics
University of Illinois at Chicago
Doctor of Philosophy, Mathematics and Computer Science

Certified Tutor
6+ years
Sungae
I am Sungae, ph.d in Engineering (from Texas Tech University). I have ~8 years teaching experience in math and science: teaching assistant, private tutor, teaching small group of class in private institution. I love math and science, and my goal is to have my students enjoy studying with me.
Sungkyunkwan University
Bachelor of Engineering, Mechanical Engineering
Texas Tech University
Doctor of Engineering, Mechanical Engineering

Certified Tutor
5+ years
Andrew
I am a dual degree graduate with a bachelor's in both zoology (from liberal arts school - Ohio Wesleyan University) and biomedical engineering (from Washington University in St. Louis). I am working towards a Masters in Electrical Engineering and expect to receive it this August 2021. This dual degr...
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
I'm a sophomore at the University of Chicago. I'm a student-athlete with a great background in math, computer science, and standardized tests. I'm the oldest of 6 kids and have always helped my younger siblings with these subjects. I look forward to potentially tutoring you.
University of Chicago
Bachelor of Science, Mathematics

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5+ years
Arun
I am grounded on the foundations that have made me what I am and that is my strength in quantitative and analytical abilities. It is my wish and endeavor to embark on a journey to help in imparting this knowledge to aspiring students.
IIT Chennai
Bachelor of Science, Civil Engineering
Princeton University
Doctor of Engineering, Engineering and Industrial Management

Certified Tutor
6+ years
I am a graduate from the University of Notre Dame with a double major in Applied and Computational Mathematics and Statistics and Anthropology. I am passionate about learning and teaching, and I am looking forward to experiencing both together!
University of Notre Dame
Bachelor of Science

Certified Tutor
5+ years
Abhijun
I am a rising junior at the University of Illinois at Urbana Champaign studying Computer Engineering. I love learning and teaching math, science, and programming. I have mentored kids ranging from 5-15 and worked as a counselor for a science camp. My favorite subject to tutor would be programming si...
University of Illinois at Urbana-Champaign
Bachelor of Science, Computer Engineering, General

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5+ years
Sujana
I am a graduate of CUNY City College. I received my bachelors in Chemical Engineering, with minors in mathematics and chemistry. I have been a tutor/mentor for the past 10yrs. I am passionate about being able to guide/teach students in STEM and walk through different fundamentals- to enhance their l...
CUNY City College
Bachelor of Engineering, Chemical Engineering

Certified Tutor
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

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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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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