College Mathematics & Chemistry Instructor|Calculus, Algebra,Trig

Colton E.

I have over ten years of experience instructing college-level mathematics and chemistry and providing individualized one-on-one academic instruction. I hold a degree in Biochemistry from Texas State University, with advanced coursework in calculus, multivariable calculus, differential equations, general chemistry, organic chemistry, and biochemistry.

I have taught in classroom and college-associated instructional settings, including work connected with Austin Community College, and support high school students, college students, and adult learners. In chemistry, I guide students through laboratory coursework, including pre-labs, post-labs, data analysis, dimensional analysis, unit conversions, error analysis, and formal lab reports. I explicitly teach how mathematics underlies chemical reasoning, including ladder-method unit analysis, proper grouping and parentheses, thermodynamics, stoichiometry, equilibrium, and kinetics.

In mathematics, I teach Calculus I–III (multivariable calculus), trigonometry, college algebra, and differential equations with emphasis on interpretation and method selection. I use visuals and Mathematica programming to expand series, analyze error in Calculus II and AP Calculus BC, and demonstrate why approximations work. I also use Mathematica for differential equations, including variation of parameters, piecewise functions, and Laplace transforms, explaining both how and why the methods are valid.

I teach efficient algebraic strategies such as synthetic and long division, factoring methods (including AC and pattern recognition), and rational expressions, breaking down boxed methods into clear logical steps. I am known for an extremely patient instructional style and have experience supporting students with learning differences, including autism and traumatic brain injuries, adapting pacing and explanation to ensure understanding and independence.