Zachary Brunell

Master AP Calculus AB or BC with personalized instruction that emphasizes conceptual understanding alongside problem-solving skills. I help students with limits, continuity, derivatives, applications of differentiation, optimization, related rates, definite and indefinite integrals, the Fundamental Theorem of Calculus, differential equations, area and volume applications, parametric and polar functions, sequences and series, Taylor and Maclaurin series, and other BC-specific topics. Whether you’re preparing for the AP exam or working through a challenging calculus course, I focus on helping students understand why the mathematics works so they can confidently tackle even the most difficult problems.

• Limits and continuity
• Derivatives and differentiation rules
• Applications of derivatives (optimization, related rates)
• Definite and indefinite integrals
• Fundamental Theorem of Calculus
• Series and sequences
• Taylor and Maclaurin series
• Parametric and polar functions

Develop a strong understanding of statistics and probability through clear explanations and practical applications. I help students with descriptive statistics, probability rules, random variables, probability distributions, expected value, sampling distributions, confidence intervals, hypothesis testing, correlation, regression, experimental design, and statistical inference. Whether you’re taking an introductory statistics course or a more rigorous probability class, I focus on building intuition alongside the mathematical foundations needed to solve problems confidently.

• Descriptive statistics
• Probability rules & random variables
• Probability distributions
• Sampling distributions
• Confidence intervals
• Hypothesis testing
• Correlation & regression
• Experimental design

Learn the fundamentals of programming through hands-on Python instruction tailored for beginners. I help students understand variables, data types, input/output, conditionals, loops, functions, lists, dictionaries, file handling, error handling, and basic object-oriented programming. We also cover debugging, algorithmic thinking, and problem-solving techniques while working through real coding exercises and projects. Whether you’re taking an introductory computer science course or learning Python for data science, I focus on building a strong foundation that prepares you for more advanced programming.

• Variables and data types
• Conditionals and loops
• Functions and scope
• Lists and dictionaries
• File handling and I/O
• Object-oriented programming basics
• Debugging and error handling
• Algorithmic problem-solving

I'll teach you understand the concepts behind data wrangling, probability, regression, and machine learning through clear explanations and hands-on examples. My goal is to help you develop confidence, improve your coursework performance, and build skills that transfer directly to internships and industry projects.

• Data wrangling and cleaning
• Probability for data science
• Regression analysis
• Machine learning fundamentals
• Exploratory data analysis
• Feature engineering

I provide personalized Algebra I and Algebra II tutoring designed to build both confidence and a deep understanding of mathematical concepts. Whether you’re struggling with the basics or preparing for more advanced coursework, I can help with linear equations and inequalities, systems of equations, parent functions and function transformations, function notation, polynomials, factoring, quadratic equations, rational and radical expressions, exponents, exponential and logarithmic functions, complex numbers, sequences and series, matrices, conic sections, introductory trigonometry, and mathematical modeling. My approach emphasizes understanding the “why” behind each concept, helping students improve their problem-solving skills, perform well on homework and exams, and build a strong foundation for future math courses.

• Linear equations and inequalities
• Systems of equations
• Quadratic equations and factoring
• Functions and function transformations
• Polynomials and rational expressions
• Exponential and logarithmic functions
• Exponents and radicals
• Sequences and series

Prepare for the SAT Math section with targeted instruction focused on both accuracy and speed. I help students master algebra, advanced math, geometry, trigonometry, problem-solving strategies, and data analysis while teaching efficient approaches to common SAT question types. We emphasize recognizing patterns, avoiding common mistakes, managing time effectively, and developing test-taking confidence through practice problems and full exam strategies. My goal is to help students maximize their score while strengthening the underlying mathematical concepts.

• SAT Algebra
• Advanced Math (polynomials, exponentials, logarithms)
• Geometry and Trigonometry
• Data Analysis and Statistics questions
• Problem-solving strategies for SAT question types
• Time management and test-taking techniques
• Common SAT Math mistakes and how to avoid them