Search
Derek M.'s Photo

MSc Mathematics | Where Logic Meets Accuracy
Derek M.

Your first lesson is backed by our Good Fit Guarantee
Hourly Rate: $45
Contact Derek

About Derek

Bio

Hello, and welcome! I’m delighted you stopped by and look forward to supporting you on your mathematics journey.

I have experience helping students navigate mathematics at different stages, from strengthening essential foundations to tackling rigorous high school and university-level material. I focus on identifying what students already understand and where missing connections may be making new topics more difficult. Whether a student is catching up, preparing for an important assessment,...

Hello, and welcome! I’m delighted you stopped by and look forward to supporting you on your mathematics journey.

I have experience helping students navigate mathematics at different stages, from strengthening essential foundations to tackling rigorous high school and university-level material. I focus on identifying what students already understand and where missing connections may be making new topics more difficult. Whether a student is catching up, preparing for an important assessment, or working through advanced coursework, I help bring structure and clarity to the learning process. By connecting new ideas to previously learned concepts, I help students see how mathematics fits together rather than viewing each topic as a separate set of rules. This creates a stronger foundation for understanding increasingly complex material and approaching problems with greater confidence.

Each lesson is shaped by the student's current understanding rather than following a fixed, one-size-fits-all routine. I pay close attention to how students interpret problems, approach unfamiliar questions, and explain their thinking, using purposeful questions and targeted practice to uncover gaps or misconceptions. From there, I guide learning through a logical progression that encourages genuine reasoning instead of simply memorizing steps. When helpful, I present ideas through visual, graphical, numerical, and symbolic perspectives so students can examine the same concept from different angles and better understand the relationships involved. I also encourage students to communicate their reasoning, reflect on their choices, and check their work, allowing them to develop stronger mathematical judgment alongside deeper conceptual understanding.

I hold an M.S. in Mathematics (Pure Mathematics) from the University of Toledo, with a GPA of 3.47/4.0, complemented by the Google UX Design Certificate. I’m excited to help you build confidence in mathematics. Whenever you’re ready, let’s make your first session count.

Read more

Policies

Schedule

Loading...

Sun

Mon

Tue

Wed

Thu

Fri

Sat

Derek hasn’t set a schedule.

We’re having trouble loading this schedule right now. Please try again later.

Approved Subjects

ACT Math

ACT Math

My expertise in ACT Math focuses on combining mathematical fluency with strategic reasoning, efficient problem-solving, and accurate interpretation under timed conditions. I specialize in number and quantity, algebra, linear and nonlinear equations, functions, polynomial and exponential relationships, systems, geometry, coordinate geometry, trigonometry, statistics and probability, ratios, percentages, rates, averages, measurement, and multi-step quantitative problems. I also emphasize the ACT’s modeling and integrating-essential-skills components, including translating real-world situations into mathematical models, interpreting graphs and tables, identifying efficient solution paths, estimating intelligently, and connecting multiple concepts within a single problem. My approach prepares students not only to solve difficult questions but to recognize patterns, eliminate inefficient methods, manage time strategically, and confidently tackle unfamiliar ACT problems.
Algebra 1

Algebra 1

My expertise in Algebra 1 focuses on developing strong mathematical reasoning while building a clear foundation for more advanced mathematics. I specialize in variables and expressions, linear equations and inequalities, systems of equations, proportional relationships, functions, graphing, slope, polynomials, exponent rules, factoring, quadratic equations, radicals, rational expressions, and sequences. My experience also includes absolute value equations and inequalities, function notation, transformations, word problems, mathematical modeling, coordinate geometry, and interpreting graphs and relationships between quantities. I emphasize understanding why algebraic methods work, recognizing multiple solution strategies, and developing the problem-solving skills students need to approach unfamiliar problems with confidence.
Algebra 2

Algebra 2

My expertise in Algebra 2 centers on connecting algebraic structures, functions, equations, and mathematical modeling through deep conceptual reasoning. I specialize in polynomial functions, complex numbers, rational functions, radical equations, exponential and logarithmic functions, systems of equations and inequalities, sequences and series, transformations, inverse functions, and advanced function analysis. My experience extends to quadratic forms, polynomial division, the Fundamental Theorem of Algebra, synthetic division, composition of functions, conic sections, probability, combinatorics, and introductory trigonometric concepts. I focus on helping students understand the relationships between algebraic, graphical, numerical, and analytical representations so they can solve complex problems strategically rather than depend on memorized procedures.
Calculus

Calculus

My expertise in Calculus spans first-principles reasoning, limits and continuity, derivatives and their applications, implicit and logarithmic differentiation, related rates, curve sketching, optimization, linearization, Newton’s method, and the Mean Value Theorem. I also specialize in integration techniques, the Fundamental Theorem of Calculus, Riemann sums, u-substitution, integration by parts, trigonometric integrals, improper integrals, and applications of integration to area, volume, arc length, and average value. My experience extends to sequences and series, convergence tests, Taylor and Maclaurin series, power series, parametric equations, polar coordinates, vector-valued functions, and introductory multivariable calculus concepts such as partial derivatives, gradients, directional derivatives, multiple integrals, and optimization. I focus on connecting these topics through rigorous mathematical reasoning and intuitive problem-solving so students can confidently tackle both standard and unfamiliar calculus problems.
Computer Programming

Computer Programming

My expertise in Computer Programming centers on developing strong computational thinking and the ability to translate complex problems into clear, efficient programs. I specialize in variables, data types, operators, conditionals, loops, functions, arrays and collections, strings, recursion, modular programming, input/output, debugging, error handling, and fundamental object-oriented programming concepts. My experience also includes algorithms, data structures, abstraction, decomposition, computational complexity, testing, code organization, version control concepts, and designing solutions systematically from problem requirements. I focus on teaching learners how to analyze problems, develop algorithms before coding, write readable and maintainable programs, debug logically, and transfer programming concepts across different languages and environments.
Differential Equations

Differential Equations

My expertise in Differential Equations centers on understanding how differential equations model change, motion, growth, decay, and dynamic systems from first principles. I specialize in first-order equations, separable equations, linear equations, exact equations, Bernoulli equations, autonomous equations, slope fields, equilibrium solutions, existence and uniqueness, and numerical methods such as Euler’s method. My experience extends to higher-order linear differential equations, characteristic equations, undetermined coefficients, variation of parameters, Laplace transforms, systems of differential equations, phase-plane analysis, stability, eigenvalues and eigenvectors, and applications involving mechanical, electrical, biological, and physical systems. I focus on connecting the underlying mathematics to the behavior of solutions so students can reason through unfamiliar differential equations rather than simply memorize solution procedures.
Elementary Math

Elementary Math

My expertise in Elementary Math centers on developing number sense, mathematical reasoning, and confidence through a deep understanding of how fundamental concepts connect. I specialize in whole-number operations, place value, mental math, estimation, multiplication and division, fractions, decimals, percentages, ratios, patterns, basic algebraic thinking, measurement, time, money, geometry, area, perimeter, volume, data interpretation, graphs, and introductory probability. I also work extensively with multi-step word problems, mathematical representations, logical reasoning, and real-world applications that require students to select and justify appropriate strategies. My approach emphasizes conceptual understanding alongside procedural fluency, helping students explain their thinking, recognize mathematical patterns, check the reasonableness of answers, and build skills that transfer naturally into Prealgebra and higher mathematics.
GED

GED

My expertise in GED Mathematical Reasoning focuses on rebuilding mathematical foundations while developing the reasoning skills needed to solve practical and unfamiliar problems independently. I specialize in arithmetic and number operations, fractions, decimals, ratios, proportions, percentages, measurement, units, exponents, roots, expressions, linear equations, inequalities, systems of equations, quadratic equations, functions, graphs, coordinate geometry, formulas, probability, statistics, data interpretation, and real-world quantitative applications. I also focus heavily on translating word problems into mathematical expressions, selecting the appropriate strategy, interpreting tables and graphs, estimating and checking solutions, and applying formulas accurately rather than simply memorizing procedures. My approach combines conceptual clarity with efficient test-taking strategies so students can build confidence, overcome foundational gaps, and apply mathematics successfully in both GED questions and everyday quantitative situations.
General Computer

General Computer

My expertise in General Computer instruction focuses on helping learners become confident, independent, and effective users of modern technology. I specialize in computer fundamentals, hardware and peripherals, operating systems, file and folder management, software installation and updates, keyboard and productivity skills, word processing, spreadsheets, presentations, web browsing, search strategies, email, cloud storage, online collaboration, and basic networking concepts. My experience also includes troubleshooting common computer and software problems, device settings, data organization, cybersecurity fundamentals, passwords and authentication, privacy, phishing awareness, responsible digital communication, and evaluating online information. I emphasize practical, transferable skills and step-by-step problem-solving so learners can understand how their technology works, choose appropriate digital tools, work efficiently, and confidently handle everyday computing tasks.
Geometry

Geometry

My expertise in Geometry centers on developing rigorous spatial reasoning and understanding why geometric relationships work from fundamental principles. I specialize in Euclidean geometry, angles, triangles, congruence and similarity, parallel and perpendicular lines, polygons, circles, coordinate geometry, transformations, constructions, area, perimeter, surface area, and volume. My experience also includes geometric proofs, deductive and inductive reasoning, Pythagorean theorem, trigonometric relationships, special triangles, circle theorems, loci, vectors, analytic geometry, and three-dimensional geometry. I focus on teaching students how to recognize patterns, construct logical arguments, visualize complex configurations, and approach unfamiliar geometry problems with a systematic proof-based strategy.
HTML

HTML

My expertise in HTML focuses on understanding how web pages are structured, interpreted, and made accessible across modern browsers and devices. I specialize in semantic HTML5, document structure, headings, paragraphs, links, lists, tables, forms, inputs, buttons, media, embedded content, attributes, metadata, and proper element relationships. My experience also includes accessible markup, form validation, SEO-conscious structure, responsive content organization, and integrating HTML with CSS and JavaScript to create functional web interfaces. I emphasize writing clean, semantic, maintainable markup while helping learners understand why proper document structure matters for accessibility, usability, search engines, and modern web development.
JavaScript

JavaScript

My expertise in JavaScript centers on understanding programming concepts deeply while building practical, reliable, and maintainable solutions. I specialize in variables and data types, operators, conditionals, loops, functions, scope, arrays, objects, strings, destructuring, error handling, and modern ES6+ syntax. My experience extends to DOM manipulation, events, asynchronous programming, promises, async/await, APIs, JSON, modules, debugging, functional programming concepts, and browser-based application development. I focus on helping learners understand how JavaScript executes and how individual programming concepts work together so they can independently design, debug, and improve real-world programs.
Linear Algebra

Linear Algebra

My expertise in Linear Algebra centers on understanding the underlying structures and reasoning that connect equations, vectors, matrices, and transformations. I specialize in systems of linear equations, Gaussian elimination, matrix operations, determinants, vector spaces, subspaces, linear independence, span, basis, dimension, linear transformations, kernel and range, rank and nullity, and coordinate representations. My experience extends to eigenvalues and eigenvectors, diagonalization, orthogonality, inner-product spaces, Gram-Schmidt, least-squares approximation, projections, change of basis, and applications of linear algebra to geometry, data, and mathematical modeling. I focus on helping students see linear algebra as a unified mathematical framework rather than a collection of computational procedures.
Prealgebra

Prealgebra

My expertise in Prealgebra focuses on building strong number sense and algebraic reasoning before students enter formal algebra. I specialize in integers, rational numbers, fractions, decimals, percentages, ratios, proportions, order of operations, factors and multiples, prime factorization, exponents, roots, variables, expressions, equations, inequalities, and translating verbal statements into mathematical relationships. My experience also includes coordinate planes, patterns, sequences, basic functions, measurement, unit conversions, introductory geometry, data interpretation, probability, and multi-step real-world problems. I emphasize understanding the structure behind mathematical operations, estimating and checking solutions, recognizing patterns, and developing flexible problem-solving strategies that create a durable foundation for Algebra 1 and beyond.
Precalculus

Precalculus

My expertise in Precalculus centers on understanding functions as mathematical models and analyzing how quantities change together across algebraic, graphical, numerical, and contextual representations. I specialize in polynomial and rational functions, transformations, composition and inverse functions, exponential and logarithmic functions, sequences and series, recursive and explicit models, rates of change, function behavior, asymptotic analysis, and mathematical modeling. My experience extends to trigonometric and polar functions, the unit circle, trigonometric identities and equations, vectors, parametric relationships, matrices, systems, complex numbers, conic sections, regression, and applications involving discrete and continuous phenomena. I focus on developing the conceptual fluency needed for calculus by teaching students to recognize structure, select appropriate models, interpret representations, justify conclusions, and solve unfamiliar problems using multiple mathematical perspectives.
Probability

Probability

My expertise in Probability focuses on developing rigorous intuition for uncertainty, randomness, counting, and conditional relationships rather than treating probability as a collection of formulas. I specialize in sample spaces, events, counting principles, permutations and combinations, probability rules, complementary and mutually exclusive events, conditional probability, independence, Bayes’ theorem, two-way tables, tree diagrams, and multi-stage probability problems. My experience extends to discrete and continuous random variables, expected value, variance and standard deviation, probability distributions, binomial and geometric models, normal distributions, simulations, sampling, and interpreting probability in real-world contexts. I emphasize translating complex situations into precise probability models, identifying dependence and independence, selecting efficient solution strategies, and communicating conclusions clearly from both numerical and contextual evidence.
SAT Math

SAT Math

My expertise in SAT Math centers on mastering the mathematical relationships behind problems rather than relying on formula memorization or repetitive practice. I specialize in linear equations and inequalities, systems, functions, equivalent expressions, quadratics, polynomials, rational and radical expressions, exponential relationships, nonlinear equations, and advanced function analysis. My experience also includes ratios, rates, percentages, units, data interpretation, scatterplots, probability, conditional probability, statistics, margin of error, evaluating statistical claims, area and volume, lines and angles, triangles, circles, right-triangle trigonometry, and mathematical modeling. I focus on helping students recognize the structure of a problem quickly, translate between algebraic, graphical, numerical, and contextual representations, use efficient solution strategies, and handle the increasingly difficult questions within the digital SAT’s adaptive format.
Trigonometry

Trigonometry

My expertise in Trigonometry centers on understanding the geometric, algebraic, and functional relationships underlying trigonometric concepts rather than relying on memorized identities. I specialize in right-triangle trigonometry, radians and degrees, the unit circle, sine, cosine, tangent and reciprocal functions, reference angles, graphs and transformations of periodic functions, inverse trigonometric functions, trigonometric identities, and solving trigonometric equations. My experience extends to sum-and-difference identities, double- and half-angle formulas, law of sines, law of cosines, vectors, complex-number connections, polar relationships, and applications involving oscillations, circular motion, waves, navigation, and mathematical modeling. I focus on helping students move fluently between geometric, algebraic, graphical, and numerical representations so they can derive relationships, recognize structure, and solve unfamiliar trigonometric problems with confidence.
Derek M.'s Photo

Questions? Contact Derek before you book.

Still have questions?

Contact Derek
Hourly Rate: $45
Contact Derek