Advanced Math

Properties, postulates, theorems and their applications. I demonstrate how to approach and solve problems, recognize when to apply which formulas, and to complete proofs.
Algebra II
Polynomials and factoring, quadratic equations, exponential growth and decay models and other practical applications. Other topics include powers and roots, logarithms and their properties, working with logs of different bases and complex numbers.
PreCalculus topics include Trigonometry; real and complex numbers; functions and their inverses; polynomials and factoring. Other topics include powers and roots, logarithms and their properties, working with logs of different bases including natural logs, and all manner of rational expressions.
AP Calculus AB and BC, preparing students in: Analysis of graphs; Limits of functions (including one-sided limits); Asymptotic and unbounded behavior; Continuity as a property of functions; Derivatives, both at a point and as a function; second derivatives; applications and computations thereof; Integrals; the Fundamental Theorem of Calculus; Techniques and applications of anti-differentiation; Polynomial Approximations and Series. We follow the College Board guide to preparing for both AB and BC tests.

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Our Khan Academy Course Codes

  • 7th Grade: WBTUHA
  • 8th Grade: 7JDKJ3
  • Algebra I: VXVJW4
  • Geometry: 56A9A6
  • Stats/Probability: F5QBKH
  • Algebra II: 96T3TG
  • PreCalculus: 69UHW7
  • Differential Calculus: 3UCHR8
  • Integral Calculus: RQAUBU
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Tutor Profile

Thomas Madsen
Harvard University, BA History & Literature, Magna Cum Laude
As a former high school “mathlete,” I competed in the state math championships four years in a row. I have logged thousands of tutoring hours in advanced math topics over the past few years, helping hundreds of high school and college students reach their target scores and raise their grades. My approach is to identify strengths, diagnose weaknesses, set goals and be both patient and thorough.

Student Feedback

“Great Results”
– Abdirahman, Minneapolis Thomas can make everything seem easier. When he explains it, things just make more sense. I started getting A’s on my tests for Algebra II and Precalculus, and then he helped with Calculus the next year.
“Thorough and Effective”
– Kristen K., Wayzata Thomas worked with our son to identify the areas of the ACT Math he wanted to focus on, then developed a customized plan to improve those scores. As a result, our son achieved his target scores on his most recent test, and learned key strategies that helped him improve on all sections. He really enjoyed working with Thomas!
“Very Organized! Lots of Resources.”
– Joy, Dalbo, MN on 4/28/14 Thomas helped my teen to make great strides in Algebra, Geometry and beyond. He was great to help with real understanding and test prep for both the ACT and SAT Math. He was very patient, easy to reach, and easy to deal with. Thanks Thomas!!
“Big Improvement with Thomas’s Help”
– Andrea Z., Edina, MN on 1/23/14 Thomas was extremely good at explaining PreCalculus; He’s extremely knowledgeable, especially when it comes to Trig, everyday applications and proofs. We enjoyed working with him.