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Concept-Based Math Teaching | 8 Years Experience
Victor B.

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Hourly Rate: $45
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About Victor

Bio

Hello, and thank you for visiting my profile.

I earned my MSc in Applied Mathematics from The University of Manchester with a 72% Distinction, and further strengthened my training by completing the Graduate Certificate in Applied & Computational Mathematics through Stanford Online. My background combines strong theoretical foundations with applied and computational problem-solving, allowing me to approach mathematical challenges with clarity, rigor, and precision.

I work confidently...

Hello, and thank you for visiting my profile.

I earned my MSc in Applied Mathematics from The University of Manchester with a 72% Distinction, and further strengthened my training by completing the Graduate Certificate in Applied & Computational Mathematics through Stanford Online. My background combines strong theoretical foundations with applied and computational problem-solving, allowing me to approach mathematical challenges with clarity, rigor, and precision.

I work confidently across a wide range of levels, supporting students in algebra, geometry, trigonometry, precalculus, and calculus, as well as advanced topics such as multivariable calculus, linear algebra, differential equations, optimization, and applied mathematical reasoning. My goal is to help students move beyond procedures toward genuine conceptual understanding and transferable problem-solving skills.

My teaching approach is deliberate, structured, and student-centered. I begin by identifying each student’s current level, strengths, and goals, then design focused sessions that directly target their specific needs. Complex ideas are presented in a clear, logical progression, ensuring students understand not only how a method works, but why it works. I emphasize active participation, guided problem-solving, and multiple solution strategies so students develop accuracy, confidence, and independence rather than relying on memorization.

Throughout our work, I provide precise, actionable feedback and adjust pacing strategically to ensure mastery before moving forward. When helpful, I reinforce abstract concepts with intuitive explanations, visual reasoning, and applied perspectives, allowing students to confidently transfer their understanding to new and unfamiliar problems. My goal is to build clarity, confidence, and strong mathematical habits that lead to lasting improvement in coursework, exams, and long-term learning.

I would be glad to support your success in applied mathematics and related areas.

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Approved Subjects

ACT Math

ACT Math

I specialize in comprehensive ACT Math preparation with a focus on speed, accuracy, and advanced reasoning. My expertise spans algebra, coordinate geometry, trigonometry, matrices, probability, statistics, and advanced function analysis. I train students to navigate dense problem sets efficiently, apply strategic guessing methods, and optimize calculator usage. I also emphasize pattern recognition, formula fluency, and endurance practice to maximize scaled scores.
Algebra 1

Algebra 1

I specialize in linear equations, inequalities, and systems, including substitution, elimination, and graphing methods. My expertise includes function notation, domain and range analysis, arithmetic and geometric sequences, polynomial operations, factoring techniques, and solving quadratic equations by factoring, completing the square, and the quadratic formula. I work extensively with absolute value equations and inequalities, rational expressions, and exponential growth and decay models. I also emphasize multi-step word problems, real-world modeling, and foundational algebraic reasoning that prepares students for advanced mathematics.
Algebra 2

Algebra 2

I specialize in higher-degree polynomial functions, synthetic division, the Remainder and Factor Theorems, and complex roots. My expertise includes rational functions, asymptotic behavior, exponential and logarithmic equations, conic sections (circles, ellipses, parabolas, hyperbolas), and systems involving nonlinear equations. I regularly work with matrices, determinants, sequences and series, binomial expansion, and the Fundamental Theorem of Algebra. I also guide students through transformations of functions, inverse functions, piecewise modeling, and advanced problem-solving strategies aligned with college-preparatory standards.
Calculus

Calculus

I specialize in rigorous limit evaluation, continuity analysis, and formal derivative rules including implicit differentiation and logarithmic differentiation. My expertise includes optimization, related rates, curve sketching, concavity, Mean Value Theorem applications, and motion analysis. I work extensively with substitution, integration by parts, partial fractions, improper integrals, and applications involving area, volume (disk, washer, shell methods), and arc length. I also cover sequences and series, Taylor and Maclaurin expansions, parametric and polar calculus, and introductory multivariable concepts.
Differential Equations

Differential Equations

I specialize in first-order and higher-order differential equations, including separable, linear, exact, and Bernoulli equations. My expertise includes homogeneous equations, undetermined coefficients, variation of parameters, Laplace transforms, and systems of differential equations. I regularly analyze stability, phase portraits, and characteristic equations for modeling dynamic systems. I also apply differential equations to physics, engineering mechanics, electrical circuits, and population growth models.
Elementary Math

Elementary Math

I specialize in building deep number sense through addition, subtraction, multiplication, and division strategies. My expertise includes fractions, decimals, place value, measurement systems, time, money, and introductory geometry concepts. I regularly teach multi-step word problems, estimation techniques, patterns, and basic data interpretation. I also focus on mathematical reasoning, conceptual understanding, and confidence-building to establish long-term academic success.
General Computer

General Computer

I specialize in computer fundamentals including hardware components, operating systems, memory management, and file systems. My expertise includes productivity software, spreadsheets, presentations, cybersecurity basics, cloud computing, and network fundamentals. I guide learners through troubleshooting, software installation, system maintenance, and digital communication tools. I also cover introductory programming concepts, data organization, and practical technology applications for academic and professional use.
Geometry

Geometry

I specialize in Euclidean and coordinate geometry, with extensive experience constructing formal two-column, paragraph, and transformational proofs. My expertise includes congruence and similarity theorems, triangle inequalities, right triangle relationships, circle theorems (arcs, chords, tangents, secants), and properties of polygons and quadrilaterals. I regularly solve problems involving geometric transformations, dilations, vectors in the plane, loci, coordinate proofs, and analytic geometry using the distance and midpoint formulas. I also work with surface area and volume of complex solids, geometric probability, constructions, symmetry, and advanced spatial reasoning.
HTML

HTML

I specialize in semantic HTML5 structure, accessibility standards, and clean document architecture. My expertise includes forms, tables, multimedia embedding, hyperlinks, metadata, SEO-friendly markup, and responsive layout foundations. I work extensively with accessibility practices (ARIA roles), validation standards, and integration with CSS styling and introductory JavaScript functionality. I also emphasize best practices in cross-browser compatibility, performance optimization, and modern web development workflows.
Linear Algebra

Linear Algebra

I specialize in solving systems of linear equations using Gaussian and Gauss-Jordan elimination, LU decomposition, and matrix inverses. My expertise includes vector spaces, subspaces, linear independence, basis and dimension, linear transformations, and matrix representations. I work extensively with eigenvalues, eigenvectors, diagonalization, orthogonality, Gram-Schmidt process, and inner product spaces. I also apply linear algebra to differential equations, computer graphics, and applied mathematical modeling.
Microsoft PowerPoint

Microsoft PowerPoint

I specialize in creating professional, visually compelling PowerPoint presentations with strong design structure and audience engagement strategies. My expertise includes slide master customization, theme design, animations and transitions, multimedia integration (audio, video, screen recordings), and data visualization using charts, graphs, and SmartArt. I work extensively with layout optimization, typography principles, color theory, branding consistency, and presentation storytelling techniques. I also guide users in presenter view tools, collaboration features, exporting formats, interactive elements, and delivering polished, high-impact presentations for academic, corporate, and conference settings.
Prealgebra

Prealgebra

I specialize in developing strong numerical fluency with integers, fractions, decimals, ratios, proportions, and percentages. My expertise includes order of operations, exponents, square roots, basic equations, inequalities, and introductory graphing concepts. I guide students through number properties, unit conversions, word problems, and foundational problem-solving strategies. I also build logical reasoning skills and conceptual understanding necessary for a smooth transition into Algebra 1.
Precalculus

Precalculus

I specialize in in-depth function analysis including polynomial, rational, exponential, logarithmic, and piecewise-defined functions. My expertise includes trigonometric identities, inverse trigonometric functions, vectors, matrices, conic sections, polar coordinates, and parametric equations. I regularly work with complex numbers in rectangular and polar form, De Moivre’s Theorem, and sequences and series. I also emphasize analytical modeling, transformation techniques, and strong conceptual preparation for calculus.
Probability

Probability

I specialize in foundational and advanced probability theory, including axioms of probability, sample spaces, counting principles, permutations, combinations, and combinatorial analysis. My expertise includes conditional probability, Bayes’ Theorem, discrete and continuous random variables, probability distributions (binomial, geometric, Poisson, normal), and expected value computations. I regularly work with variance, standard deviation, joint and marginal distributions, independence, covariance, and moment-generating functions. I also apply probability to statistical inference, hypothesis testing, regression foundations, stochastic processes, and real-world modeling in finance, science, and data analysis.
SAT Math

SAT Math

I specialize in high-level SAT Math preparation, emphasizing algebraic fluency, advanced equation solving, and strategic time management. My expertise includes linear and quadratic systems, function interpretation, nonlinear modeling, statistics, probability, and data analysis using graphs and tables. I train students in recognizing common distractors, leveraging calculator efficiency, and applying estimation techniques under timed conditions. I also focus on word problem translation, exponential models, geometry review, and mastery of advanced math concepts tested in the digital SAT format.
Trigonometry

Trigonometry

I specialize in advanced trigonometric identities, equations, and proofs, with strong experience simplifying complex expressions and verifying identities. I regularly solve right and oblique triangle problems using the Law of Sines, Law of Cosines, and area formulas, as well as applications involving vectors and polar coordinates. My expertise includes graphing and transforming trigonometric functions, analyzing amplitude, period, phase shifts, and modeling real-world phenomena such as wave motion and circular motion. I also work extensively with inverse trigonometric functions, radian measure, the unit circle, sum and difference formulas, double- and half-angle identities, product-to-sum formulas, trigonometric substitution in calculus, and complex numbers in trigonometric form (De Moivre’s Theorem).
Computer Programming
GED
GMAT
GRE
JavaScript
Python
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Hourly Rate: $45
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