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Experienced Math Tutor | Making Complex Math Simple
Michael D.

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Hourly Rate: $45
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About Michael

Bio

I'm Michael. I graduated from Southern Methodist University (SMU) with a BS in Mathematics, earning a GPA of 3.38/4.0, and later earned an MS in Applied & Computational Mathematics from the University of Washington through its online program. After graduating and beginning my career in education, I saw that a larger disconnect was beginning to grow between students and the subjects they were being taught. As a tutor, I focus on identifying where those disconnects are occurring and shining a...

I'm Michael. I graduated from Southern Methodist University (SMU) with a BS in Mathematics, earning a GPA of 3.38/4.0, and later earned an MS in Applied & Computational Mathematics from the University of Washington through its online program. After graduating and beginning my career in education, I saw that a larger disconnect was beginning to grow between students and the subjects they were being taught. As a tutor, I focus on identifying where those disconnects are occurring and shining a new light on the subject matter. By breaking topics down into their more comprehensible roots, I aim to create a stronger foundation for each student's education. I use lesson plans to cover each topic at a pace that is comfortable for the student, teaching them what they need to succeed in that particular unit. I then provide students with time to work through problems and ask questions as they work, helping to reinforce that session's topics. This approach can always be adjusted to meet each student's individual needs.

I have been a tutor on and off for fellow students, friends, and other associates for 7 years now, with dedicated online tutoring over the past four years, logging over 500+ hours of online tutoring and helping close to 100 students in both high school and college. These tutoring sessions have included both group and individual instruction, including full courses in Algebra 1 & 2, Geometry, Trigonometry, Pre-Calculus, Calculus I, II & III, Linear Algebra, Differential Equations, Probability, and Mathematical Modeling. I have also worked with students preparing for standardized and state assessments, including GED, ACT, SAT, NC Math 1 and Math 2, helping students strengthen their foundational skills, improve problem-solving strategies, and build confidence for their exams.

I welcome any resources students or parents can provide, as they help me better understand each student's needs. I’m also happy to answer questions and coordinate sessions, so feel free to reach out anytime.

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Approved Subjects

ACT Math

ACT Math

I have strong subject-matter expertise in ACT Math, covering the major mathematical content areas assessed on the ACT, including pre-algebra, elementary algebra, intermediate algebra, coordinate geometry, plane geometry, and trigonometry. My knowledge includes integers, fractions, ratios, proportions, percentages, exponents, radicals, polynomials, factoring, linear and quadratic equations, inequalities, systems of equations, functions, sequences, and mathematical modeling. I am also proficient in geometry topics such as angles, triangles, circles, polygons, area, perimeter, volume, surface area, coordinate planes, slopes, distance and midpoint formulas, and basic trigonometric ratios and applications. Additionally, I specialize in ACT-style problem-solving, interpreting graphs and tables, probability, statistics, counting principles, logical reasoning, efficient calculation strategies, time management, and identifying common test-taking traps to help students improve accuracy, speed, and overall performance.
Algebra 1

Algebra 1

I have strong subject-matter expertise in Algebra 1, covering real number systems, numerical and algebraic expressions, properties of operations, order of operations, exponents, scientific notation, radicals, and simplifying expressions. My knowledge includes solving linear equations and inequalities, multi-step equations, literal equations, absolute value equations, systems of linear equations, ratios, proportions, percentages, and applications of algebraic concepts to real-world problems. I am also proficient in graphing and analyzing linear functions, slope-intercept and point-slope forms, writing equations of lines, interpreting functions, sequences, polynomials, factoring, quadratic expressions, quadratic equations, and introductory exponential functions. Additionally, my expertise includes coordinate graphing, scatter plots, lines of best fit, arithmetic sequences, data interpretation, mathematical modeling, word problems, and developing strong algebraic reasoning and problem-solving skills.
Algebra 2

Algebra 2

I have strong subject-matter expertise in Algebra II, with comprehensive knowledge of U.S. high school mathematics standards, including algebraic expressions, polynomial operations, factoring, rational expressions, equations, inequalities, and systems of equations. My expertise includes quadratic, polynomial, rational, exponential, logarithmic, and radical functions; complex numbers; sequences and series; matrices; and function transformations, graphing, and analysis. I am also proficient in mathematical modeling, interpreting functions in real-world contexts, solving trigonometric problems, and applying statistical reasoning to analyze mathematical relationships. I emphasize conceptual understanding, algebraic reasoning, problem-solving strategies, mathematical precision, and step-by-step explanations to help students master challenging concepts and develop strong independent mathematical skills.
Calculus

Calculus

I have extensive subject-matter expertise in Calculus, covering limits, continuity, one-sided limits, infinite limits, derivatives, differentiation rules, implicit differentiation, logarithmic differentiation, and higher-order derivatives. My knowledge includes applications of derivatives such as related rates, optimization, linear approximation, the Mean Value Theorem, Rolle’s Theorem, curve sketching, concavity, and the analysis of increasing and decreasing functions. I am also proficient in integration, including Riemann sums, definite and indefinite integrals, substitution, integration by parts, partial fractions, trigonometric substitution, improper integrals, the Fundamental Theorem of Calculus, and applications involving area, volume, arc length, and work. Additionally, my expertise extends to differential equations, slope fields, exponential growth and decay, sequences and series, Taylor and Maclaurin series, power series, parametric equations, polar coordinates, vectors, partial derivatives, multiple integrals, and introductory vector calculus, with an emphasis on mathematical reasoning, problem-solving, and real-world applications.
Differential Equations

Differential Equations

I have strong subject-matter expertise in Differential Equations, covering first-order and higher-order ordinary differential equations (ODEs), partial differential equations (PDEs), linear and nonlinear differential equations, separable equations, exact equations, homogeneous equations, and integrating factor methods. My knowledge includes initial-value problems, boundary-value problems, systems of differential equations, second-order linear equations, characteristic equations, Laplace transforms, inverse Laplace transforms, and power series solutions. I am also proficient in applications involving exponential growth and decay, population models, Newton's law of cooling, mixing problems, harmonic oscillators, damped and forced vibrations, electrical circuits, and mathematical modeling. Additionally, my expertise includes numerical methods such as Euler's method, slope fields, equilibrium solutions, stability analysis, eigenvalue methods, Fourier series, and introductory partial differential equation techniques.
GED

GED

I have strong subject-matter expertise in GED Mathematical Reasoning, covering arithmetic, number operations, fractions, decimals, percentages, ratios, proportions, integers, exponents, radicals, scientific notation, and real numbers. My knowledge includes prealgebra, algebraic expressions, linear equations and inequalities, systems of equations, polynomials, factoring, quadratic equations, functions, coordinate geometry, slopes, graphing, and mathematical modeling. I am also proficient in geometry, including angles, triangles, circles, polygons, perimeter, area, surface area, volume, the Pythagorean theorem, and basic trigonometry, as well as statistics, probability, mean, median, mode, range, data interpretation, and reading graphs and tables. Additionally, I specialize in GED-style mathematical reasoning, multi-step word problems, quantitative problem-solving, interpreting real-world mathematical situations, calculator skills, test-taking strategies, and time management to help students build confidence and achieve strong results on the GED Math test.
General Computer

General Computer

I have strong subject-matter expertise in General Computer Studies, covering computer fundamentals, hardware components, software applications, operating systems, file management, data storage, computer networks, and basic information technology concepts. My knowledge includes Microsoft Office applications such as Word, Excel, PowerPoint, and Outlook; Google Workspace tools; document formatting; spreadsheets; formulas and functions; presentations; email management; and internet navigation. I am also proficient in computer security fundamentals, cybersecurity awareness, password management, data privacy, cloud computing, troubleshooting, system maintenance, peripheral devices, networking basics, and responsible digital communication. Additionally, my expertise includes digital literacy, keyboarding, productivity tools, online research, information management, basic programming concepts, and helping learners develop practical computer skills for academic, professional, and everyday use.
Geometry

Geometry

I have strong subject-matter expertise in Geometry, covering Euclidean geometry, plane geometry, solid geometry, coordinate geometry, analytic geometry, and three-dimensional geometry. My knowledge includes points, lines, angles, parallel and perpendicular relationships, triangles, congruence, similarity, polygons, quadrilaterals, circles, arcs, chords, tangents, secants, and geometric constructions. I am also proficient in geometric transformations, including translations, rotations, reflections, and dilations; geometric proofs; theorems; postulates; trigonometric relationships; distance and midpoint formulas; slopes; equations of lines; and conic sections, including circles, parabolas, ellipses, and hyperbolas. Additionally, my expertise includes perimeter, area, surface area, volume, spatial reasoning, vectors in geometry, coordinate proofs, and applications of geometric principles to real-world measurement and mathematical problem-solving.
HTML

HTML

I have strong subject-matter expertise in HTML, covering HTML5, document structure, semantic elements, headings, paragraphs, hyperlinks, images, lists, tables, forms, input types, buttons, and multimedia integration. My knowledge includes semantic HTML elements such as header, nav, main, section, article, aside, and footer, as well as attributes, metadata, hyperlinks, embedded content, responsive design fundamentals, and proper document organization. I am also proficient in HTML forms and validation, accessibility standards, ARIA fundamentals, SEO-friendly markup, browser compatibility, debugging, code organization, and integrating HTML with CSS and JavaScript to build functional web pages. Additionally, I understand the Document Object Model (DOM), HTML best practices, web standards, page structure optimization, and the fundamentals of developing accessible, user-friendly, and well-structured websites.
Linear Algebra

Linear Algebra

I have strong subject-matter expertise in Linear Algebra, covering systems of linear equations, Gaussian elimination, Gauss-Jordan elimination, matrix operations, determinants, matrix inverses, row reduction, and elementary matrices. My knowledge includes vector spaces, subspaces, linear combinations, span, linear independence, basis, dimension, rank, nullity, column spaces, and null spaces. I am also proficient in linear transformations, eigenvalues, eigenvectors, characteristic polynomials, diagonalization, orthogonality, orthogonal projections, Gram-Schmidt orthogonalization, inner product spaces, and least-squares solutions. Additionally, my expertise includes matrix factorizations, change of basis, coordinate transformations, quadratic forms, symmetric matrices, singular value decomposition (SVD), and applications of linear algebra in computer science, engineering, data analysis, and mathematical modeling.
Microsoft PowerPoint

Microsoft PowerPoint

I have strong subject-matter expertise in Microsoft PowerPoint, covering presentation creation, slide design, formatting, layouts, themes, templates, slide masters, and customized presentation structures. My knowledge includes inserting and editing text, images, icons, shapes, tables, charts, SmartArt graphics, videos, audio, hyperlinks, and interactive elements to create professional and visually engaging presentations. I am also proficient in slide transitions, animations, motion paths, multimedia integration, speaker notes, presenter view, slide shows, custom slide sizes, collaboration tools, and exporting presentations to PDF and other formats. Additionally, I understand visual storytelling, presentation design principles, typography, color coordination, data visualization, business presentations, educational slides, and effective presentation delivery, with an emphasis on creating clear, polished, engaging, and professional PowerPoint presentations.
Prealgebra

Prealgebra

I have strong subject-matter expertise in Prealgebra, covering integers, whole numbers, natural numbers, rational and irrational numbers, fractions, decimals, percentages, ratios, proportions, and the properties of real numbers. My knowledge includes order of operations (PEMDAS), prime factorization, greatest common factors, least common multiples, exponents, square roots, scientific notation, absolute value, and simplifying numerical expressions. I am also proficient in introductory algebraic concepts, including variables, constants, coefficients, algebraic expressions, evaluating expressions, combining like terms, the distributive property, one-step and multi-step equations, basic inequalities, and coordinate graphing. Additionally, my expertise includes unit conversions, measurement, perimeter, area, volume, basic geometry, data interpretation, mean, median, mode, probability, and solving practical word problems using foundational mathematical reasoning.
Precalculus

Precalculus

I have strong subject-matter expertise in Precalculus, covering polynomial, rational, exponential, logarithmic, piecewise, and trigonometric functions, including their domains, ranges, inverses, compositions, transformations, and graphical representations. My knowledge includes complex numbers, polynomial division, the Fundamental Theorem of Algebra, zeros of polynomial functions, synthetic division, rational expressions, conic sections, sequences and series, mathematical induction, and the Binomial Theorem. I am also proficient in trigonometric identities, unit circle applications, inverse trigonometric functions, trigonometric equations, the Laws of Sines and Cosines, vectors, parametric equations, polar coordinates, and systems of equations and inequalities. Additionally, my expertise includes limits and introductory calculus concepts, mathematical modeling, analytical reasoning, and applying advanced algebraic and trigonometric techniques to solve complex mathematical problems.
SAT Math

SAT Math

I have strong subject-matter expertise in SAT Math, covering all major content domains of the Digital SAT, including Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. My knowledge includes linear equations and inequalities, systems of equations, linear functions, equivalent expressions, quadratic and polynomial equations, nonlinear functions, exponential models, rational and radical expressions, and function notation. I am also proficient in ratios, rates, percentages, proportional relationships, unit conversions, statistics, probability, scatterplots, data interpretation, two-way tables, area, volume, circles, triangles, right-triangle trigonometry, and geometric relationships. Additionally, I specialize in Digital SAT-style problem-solving, interpreting graphs and tables, applying mathematical reasoning, using the Desmos graphing calculator effectively, recognizing question patterns, managing time, avoiding common errors, and developing strategic approaches to improve accuracy and overall test performance.
Trigonometry

Trigonometry

I have strong subject-matter expertise in Trigonometry, covering angle measurement in degrees and radians, right-triangle trigonometry, trigonometric ratios (sine, cosine, and tangent), reciprocal functions, and the unit circle. My knowledge includes trigonometric identities, Pythagorean identities, sum and difference formulas, double-angle and half-angle identities, inverse trigonometric functions, and solving trigonometric equations and inequalities. I am also proficient in graphing and analyzing trigonometric functions, including sine, cosine, tangent, cotangent, secant, and cosecant, as well as amplitude, period, phase shift, and vertical and horizontal transformations. Additionally, my expertise includes the Law of Sines, Law of Cosines, solving oblique triangles, verifying identities, sinusoidal modeling, harmonic motion, vectors, polar coordinates, and real-world applications involving periodic phenomena.
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Hourly Rate: $45
Contact Michael