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College Math Tutor: Probability, Linear Algebra, Calc, and More
Ethan B.

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About Ethan

Bio

Hi! My name is Ethan. I am a fourth-year mathematics major at UC Davis, and I plan to pursue graduate study in mathematics after completing a fifth year. I offer online tutoring year-round and occasional in-person tutoring near campus.

I tutor a wide range of mathematics, including high school subjects such as Algebra, Geometry, Trigonometry, and Precalculus; lower-division college courses such as Calculus and Statistics; and upper-division courses including Probability, Linear Algebra,...

Hi! My name is Ethan. I am a fourth-year mathematics major at UC Davis, and I plan to pursue graduate study in mathematics after completing a fifth year. I offer online tutoring year-round and occasional in-person tutoring near campus.

I tutor a wide range of mathematics, including high school subjects such as Algebra, Geometry, Trigonometry, and Precalculus; lower-division college courses such as Calculus and Statistics; and upper-division courses including Probability, Linear Algebra, Linear Programming, and Modern Algebra.

Over the years, I have gained informal tutoring experience through helping my younger sister with math from middle school through college-level discrete mathematics. Through that experience, I learned the importance of patience, adaptability, and clear explanations when going over tricky material.

My tutoring style focuses on helping students deeply understand concepts rather than simply memorizing procedures. I emphasize step-by-step explanations and walk-throughs and work carefully through examples so students can build both confidence and long-term problem-solving skills. I also try to adapt my teaching style to each student’s background and pace of learning.

I know that math can sometimes feel intimidating or frustrating, especially in fast-paced classes, so I aim to create a supportive environment where students feel comfortable asking questions and working through mistakes.

Whether you are preparing for exams, working on homework, trying to strengthen your foundations, or studying advanced topics, I would be happy to help! Feel free to reach out with any questions you may have!

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Education

UC Davis
Mathematics

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Approved Subjects

Algebra 1

Algebra 1

As a fourth-year mathematics major, I have a strong foundation in algebra 1 that is essential for success in higher mathematics. I am very comfortable helping students with graphing, systems of equations, quadratic equations, slope and intercepts, factoring, and more. I emphasize clear step-by-step explanations that help students strengthen their problem-solving skills and gain a strong understanding of the mathematical concepts.
Algebra 2

Algebra 2

As a fourth-year mathematics major, I have a strong foundation in algebra 2 that is essential for success in higher mathematics. I am very comfortable helping students with graphing, systems of equations, quadratic equations, complex and imaginary numbers, factoring, trigonometry, exponents, logarithms, and more. I emphasize clear step-by-step explanations that help students strengthen their problem-solving skills and gain a strong understanding of the mathematical concepts.
Calculus

Calculus

As a fourth-year mathematics major, I have a strong background in calculus through years of both high school and university coursework. I earned a 5 on the AP Calculus BC exam in high school and have continued using calculus extensively throughout my undergraduate mathematics courses. I am very comfortable helping students with limits, derivatives, integrals, sequences and series, multivariable calculus, and related applications through clear step-by-step explanations and problem-solving strategies.
Differential Equations

Differential Equations

As a fourth-year mathematics major, I have completed university coursework in differential equations and related areas of higher mathematics. I am comfortable helping students with many standard topics from introductory differential equations courses such as separable equations, first-order linear equations, series, integrating factors, and systems of differential equations. I focus on clear step-by-step explanations that help students understand both the methods and the reasoning needed to arrive at the solution.
Discrete Math

Discrete Math

As a fourth-year mathematics major, I have a strong background in Discrete Mathematics, including experience tutoring my younger sister in the subject. In addition to coursework in Discrete Mathematics itself, I have completed several upper-division math courses that build on related concepts, including Real Analysis and Modern Algebra. These courses have strengthened my understanding of set theory, proofs, mathematical logic, and rigorous mathematical reasoning. I enjoy helping students develop confidence in these topics through clear step-by-step explanations and structured problem-solving strategies.
Finite Math

Finite Math

As a fourth-year mathematics major, I have studied many of the core topics commonly taught in finite mathematics, including matrices, probability, linear programming, logic, and discrete mathematical methods. Through my upper-division coursework, I have developed strong quantitative problem-solving skills and experience applying mathematical techniques across a variety of contexts. I focus on helping students understand concepts step-by-step so they can build confidence and apply methods independently.
Geometry

Geometry

As a fourth-year mathematics major, I have a strong foundation in Geometry. I am very comfortable helping students with topics such as triangles, circles, coordinate geometry, proofs, similarity, congruence, and geometric formulas. I focus on clear step-by-step explanations that help students understand both the logic behind geometric concepts and effective strategies for confidently solving problems.
Linear Algebra

Linear Algebra

I have had a strong background in linear algebra since my first year of college, when I first completed an introductory linear algebra course with a strong grade. Since then, I have taken upper-division linear algebra coursework that further reinforced and expanded my understanding of the subject. I am very comfortable helping students understand topics such as matrices, vectors, bases, null spaces, linear transformations, eigenvalues/eigenvectors, the Gram–Schmidt process, and more through clear step-by-step explanations.
Logic

Logic

As a fourth-year mathematics major, I have a strong background in Logic developed through upper-division coursework including Discrete Mathematics, Real Analysis, and Modern Algebra. These courses rely heavily on formal reasoning and rigorous proof-writing, strengthening my understanding of set theory, mathematical logic, and abstract reasoning. I enjoy helping students develop confidence in these topics through clear step-by-step explanations and structured problem-solving strategies.
Prealgebra

Prealgebra

As a fourth-year mathematics major, I have a strong foundation in algebra and arithmetic that are essential for success in higher mathematics. I am very comfortable helping students with decimals, percentages, inequalities, order of operations, and more. I emphasize clear step-by-step explanations that help students strengthen their problem-solving skills and gain a strong understanding of the mathematical concepts.
Precalculus

Precalculus

As a fourth-year mathematics major, I have a strong foundation in algebra and precalculus concepts that are essential for success in higher mathematics. I am very comfortable helping students with functions, trigonometry, exponential and logarithmic equations, and related topics. I focus on clear step-by-step explanations that help students strengthen their problem-solving skills and gain a strong understanding of the mathematical concepts.
Probability

Probability

As a fourth-year mathematics major, I have a strong background in probability through multiple upper-division probability and statistics courses at university. This coursework has strengthened my understanding of both theoretical and computational probability. I am comfortable helping students with topics such as distributions, expected value, variance, standard deviation, random variables, combinatorics, and more. I focus on clear step-by-step explanations that help students understand the reasoning behind each method and build stronger problem-solving skills.
Real Analysis

Real Analysis

As a fourth-year mathematics major, I completed the university’s full three-course Real Analysis sequence with strong performance. My experience includes rigorous proof-writing, epsilon-delta arguments, convergence of sequences and series, continuity, differentiation, integration, and metric space theory. I enjoy helping students develop the logical precision and mathematical intuition needed to succeed in proof-based analysis courses.
SAT Math

SAT Math

As a fourth-year mathematics major, I have a strong foundation in the algebra, geometry, and problem-solving skills tested on the SAT math section. In addition to my university coursework, I scored a perfect 800 on the SAT Math section in high school. I am very comfortable helping students with topics such as linear functions, graphing, systems of equations, factoring, trigonometry, and quadratic equations through clear step-by-step explanations.
Statistics

Statistics

I have a strong background in statistics through both high school and university coursework. I earned a 5 on the AP Statistics exam and received an A+ in my university's stats 101 course, and my coursework has included probability and more advanced statistics subjects. As a mathematics major, I am very comfortable with statistical reasoning, probability, data analysis, distributions, and interpreting statistical concepts clearly and step-by-step for students.
Trigonometry

Trigonometry

As a fourth-year mathematics major, I have a strong foundation in trigonometry, which is essential for higher-level mathematics. I am comfortable helping students with topics such as triangles, the unit circle, trigonometric functions, identities, radians, graphs, and inverse trigonometric functions. I focus on clear step-by-step explanations that help students understand both the concepts behind trigonometry and how to efficiently solve problems.
Macroeconomics
Microeconomics
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Hourly Rate: $30
Contact Ethan