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M.Sc. Mathematical & Computing Science | Patient, Skilled Tutor
Isaac L.

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Hourly Rate: $40
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About Isaac

Bio

Hello, and thank you for visiting my profile! I hold a Master of Science in Mathematical and Computing Science from the Tokyo Institute of Technology, where I graduated with an overall grade of A (83%, ≈ 3.75/4.0). My studies combined advanced mathematics and computer science, giving me a strong foundation in both theory and practical applications. In addition, I have completed the Applied Mathematics Professional Certificate from Coursera, further strengthening my expertise in mathematical...

Hello, and thank you for visiting my profile! I hold a Master of Science in Mathematical and Computing Science from the Tokyo Institute of Technology, where I graduated with an overall grade of A (83%, ≈ 3.75/4.0). My studies combined advanced mathematics and computer science, giving me a strong foundation in both theory and practical applications. In addition, I have completed the Applied Mathematics Professional Certificate from Coursera, further strengthening my expertise in mathematical modeling, analysis, and problem-solving techniques.

I have explored a wide spectrum of mathematical and computational subjects, from foundational courses such as Algebra I & II, Geometry, Trigonometry, and Precalculus, to advanced topics at the Master’s level, including advanced calculus, linear algebra, numerical analysis, combinatorics, graph theory, probability and stochastic processes, optimization, computational complexity, programming languages, cryptography, and mathematical modeling. This expertise allows me to tutor all levels, from foundational math to advanced coursework in mathematics and computing.

My teaching approach is structured, patient, and adaptable, designed to help students build both conceptual understanding and practical problem-solving skills. I begin by assessing each student’s current level and learning style, then tailor lessons to their individual goals. Complex problems are broken down into manageable steps, multiple solution strategies are offered, and visual reasoning and real-world examples are used to make abstract concepts tangible. Whether through step-by-step guided practice, applied computational exercises, or problem-solving discussions, I aim to help students approach challenges with clarity, confidence, and critical thinking, while fostering independent thinking, curiosity, and a lasting appreciation for the power and beauty of mathematics and computing.

I would be delighted to help you strengthen your skills in mathematics, computer science, and their intersection.

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Approved Subjects

ACT Math

ACT Math

I cover algebra, geometry, functions, trigonometry, data analysis, probability, number theory, and modeling as tested on the ACT. I emphasize time efficiency, pattern recognition, mental shortcuts, and multi-step reasoning. My training includes strategies for diagrams, equations, and tricky word problems. Students learn to maximize accuracy under strict time limits.
Algebra 1

Algebra 1

My mastery includes linear equations, inequalities, systems, graphing, functions, transformations, radicals, polynomials, factoring, and introductory quadratics. I also teach domain/range, function notation, slope analysis, piecewise functions, and real-world modeling. My instruction emphasizes concept clarity, graph interpretation, and multi-step reasoning. Students develop confidence in manipulating symbols and solving structured problems.
Algebra 2

Algebra 2

I teach exponential and logarithmic functions, complex numbers, conic sections, polynomial division, rational expressions, radical equations, sequences, series, and advanced factoring. I also explain transformations, asymptotic behavior, matrix basics, probability connections, and mathematical modeling. My lessons bridge abstract algebraic understanding with graphical intuition. Students become fully prepared for precalculus and STEM coursework.
Calculus

Calculus

I specialize in limits, continuity, derivatives, integrals, optimization, related rates, differential equations, infinite series, convergence tests, parametric curves, polar functions, and multivariable concepts. I teach key techniques such as substitution, integration by parts, partial fractions, and numerical approximations. I connect calculus to physics, engineering, and real-world modeling. My explanations balance visualization with rigorous reasoning for strong comprehension.
Computer Programming

Computer Programming

I teach core programming concepts including algorithms, data structures, loops, conditionals, functions, object-oriented programming, recursion, debugging, and modular design. I also cover file handling, logic development, API usage, and problem-solving patterns. My experience spans languages like Python, JavaScript, Java, C++, and more. Students learn to write clean, efficient, and scalable code.
Differential Equations

Differential Equations

I have extensive experience solving ordinary, partial, and nonlinear differential equations using both analytical and numerical methods. My expertise includes topics such as Laplace transforms, Fourier series, eigenvalue problems, stability analysis, phase-plane methods, boundary-value problems, and numerical solvers like Euler, Runge–Kutta, and finite-difference techniques. I also work with mathematical modeling of real-world systems in physics, engineering, biology, and economics. In addition, I help learners interpret solutions, verify results, and choose the most effective method for a given problem.
Elementary Math

Elementary Math

I teach number sense, addition, subtraction, multiplication, division, fractions, decimals, measurement, time, place value, geometry basics, and early problem-solving. I also guide students through patterns, logical reasoning, math vocabulary, and word-problem interpretation. My instruction uses intuitive explanations, visuals, and real-life context. Students gain confidence, fluency, and deep understanding.
Geometry

Geometry

I help students master congruence, similarity, transformations, triangles, circles, polygons, coordinate geometry, constructions, and 3D solids. I also teach proofs, geometric relationships, area/volume formulas, angle reasoning, and analytic geometry. My approach strengthens logical thinking, diagram interpretation, and spatial imagination. Students build a strong foundation for advanced math.
HTML

HTML

I have expertise in semantic HTML, elements, tags, forms, tables, multimedia embedding, accessibility standards, metadata, and responsive layout structures. I teach clean document hierarchy, reusable components, and integration with CSS and JavaScript. Students learn best practices for building professional and optimized webpages. My approach ensures strong fundamentals for front-end development.
JavaScript

JavaScript

I cover variables, functions, objects, arrays, loops, conditionals, DOM manipulation, events, ES6+ features, asynchronous programming, promises, classes, modules, and APIs. I also teach debugging, best practices, logical structuring, and browser interaction. My instruction includes real project-style examples for practical learning. Students gain skills for web apps, interactivity, and dynamic content creation.
Linear Algebra

Linear Algebra

I guide learners through vectors, matrices, systems of equations, Gaussian elimination, linear transformations, determinants, eigenvalues, eigenvectors, orthogonality, diagonalization, and vector spaces. I also cover projections, subspaces, rank, basis, dimension, and applications in differential equations and machine learning. My explanations blend geometric, computational, and theoretical views. Students develop a strong, versatile understanding.
Prealgebra

Prealgebra

I cover all core prealgebra topics including integers, fractions, decimals, ratios, proportions, percentages, factors, multiples, expressions, simple equations, and inequalities. I also teach coordinate grids, patterns, order of operations, and problem-solving strategies. My approach develops strong number sense, mental math, and logical thinking. Students gain a rock-solid foundation for algebraic success.
Precalculus

Precalculus

My precalculus expertise includes deep knowledge of functions, inverse functions, polynomial behavior, rational expressions, logarithmic and exponential models, conic sections, sequences, series, transformations, limits, and trigonometric foundations. I guide students through graph analysis, algebraic manipulation, parametric equations, vector basics, and introductory analytic geometry. I also help build strong conceptual reasoning needed for calculus readiness. My explanations strengthen intuition while building advanced symbolic fluency.
Probability

Probability

I teach probability rules, independence, conditional probability, permutations, combinations, distributions, expected value, simulations, and random variables. I also cover counting principles, sample spaces, geometric probability, binomial distributions, and problem-solving strategies. My explanations connect theory to real-life contexts like games, risk, and data. Students develop strong statistical reasoning skills.
Python

Python

I have extensive experience with Python fundamentals, data types, functions, modules, object-oriented programming, and error handling. My expertise includes data analysis, automation, scripting, APIs, file handling, web development fundamentals, and algorithmic problem solving. I also work with libraries such as NumPy, pandas, Matplotlib, and basic machine-learning concepts. I help learners write clean, efficient, and scalable Python code through practical examples and real-world applications.
SAT Math

SAT Math

I cover algebra, advanced algebra, problem-solving, data analysis, geometry, systems, functions, statistics, and trigonometry as they appear on the SAT. I teach timing control, shortcut strategies, question-type recognition, and trap avoidance. My guidance includes practice with grids, word problems, functional modeling, and multi-step reasoning. Students gain both accuracy and efficiency under exam conditions.
Trigonometry

Trigonometry

I specialize in trigonometric functions, unit circle, radians, identities, inverse functions, equations, graphs, periodicity, and amplitude adjustments. I also teach law of sines, law of cosines, triangle applications, rotations, polar coordinates, vectors, and modeling with sinusoidal functions. My lessons build equation-solving skills and geometric intuition together. Students become fluent in both theory and application.
Web Design

Web Design

I am a Coursera-certified web design professional, skilled in creating modern, responsive, and user-focused digital interfaces. My expertise includes UI/UX design with Figma, semantic HTML, advanced CSS (Flexbox, Grid), interactive JavaScript, and component-based development using React. I also craft high-quality prototypes, animations, and micro-interactions using Framer. From initial wireframes to polished interfaces, I specialize in blending visual design principles with front-end engineering for clean, engaging user experiences.
GED
General Computer
GMAT
GRE
Microsoft PowerPoint
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Hourly Rate: $40
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