The Cuntz Splice

Current Courses

Fall 2017:
  1. Math 135 (Pre-Calculus)
  2. Math 454 (Abstract algebra)

Courses taught at the University of Oregon

  1. College Algebra, Covers graph sketching, use of graphing calculators, definition and properties of functions, polynomial and rational functions and introduction to the exponential and logarithmic functions.
  2. Business Calculus II, Integral calculus with an emphasis on business applications and an introduction to solving systems of linear equation using matrices.
  3. Differential Calculus, Differential calculus in one variable taught from a traditional text.
  4. Integral Calculus, Integral calculus in one variable taught from a traditional text.
  5. Sequences and Series, Arc length, surface area of solids, infinite sequences and series, Taylor series.
  6. Differential Calculus for Biological Science, Differential calculcus with an emphasis on life science applications and an introduction to multivarible calculus.

Courses taught at the University of Toronto

  1. Multivariable Calculus, Differential and integral calculus of functions of several variables. Line and surface integrals, the divergence theorem, Stokes' theorem. Sequences and series, including an introduction to Fourier series. Some partial differential equations of Physics.
  2. Single Variable Calculus, Differential and integral calculus of functions of one variable with an emphasis on proofs.

Courses taught at the University of Hawai'i at Hilo

  1. Survey of Mathematics, The role of mathematics in our modern technological society. Topics may include logic, number systems, computers, algebra, and probability.
  2. Pre-Calculus, Covers graph sketching, use of graphing calculators, definition and properties of functions, polynomial and rational functions and introduction to the exponential, logarithmic functions, and trigonometric functions.
  3. Single Variable Calculus, Differential and integral calculus of functions of one variable taught from a traditional text.
  4. Multi Variable Calculus, Differential and integral calculus of functions of several variables taught from a traditional text.
  5. Complex Variables, One semester course in complex analysis. Topics include: limits and derivative of complex valued function, power series and Laurent series, and residue theory.
  6. Introduction to point set topology, One semester course in point set topology. Topics include: topological spaces, metric spaces, compact spaces, continuity.
  7. Ordinary differential equations, One semester course in ordinary differential equation. Topics incluled: linear ODE, power series solution, laplace transform.
  8. Real Analysis, A study of the basic concepts and theorem underlying classical analysis, including the topology of the real line, uniform convergence, and differential and integral calculus.
  9. Abstract Algebra, Theory of groups, rings, and fields. Polynomial rings, unique factorization, and Galois Theory.