John Jones - Courses

Courses

Spring 2013:

• MAT 371: Advanced Calculus I
  TuTh 10:30-11:45 in PSA 306
  
  
  Prerequisites: MAT 272 (or MAT 267) and MAT 300 (or 243) with C or better

  Description: Theorems and proofs from one variable calculus.

  Textbook: Introduction to Analysis, by Gaughan

• MAT 445: Theory of Numbers
  TuTh 10:30-11:45 in ECG 227
  
  
  Prerequisites: MAT 243 or 300 with C or better; MAT 342 or 343 with C or better

  Description: Prime numbers, unique factorization theorem, congruences, Diophantine equations, primitive roots, and quadratic reciprocity theorem.

  Textbook: Elementary Number Theory: Primes, Congruences, and Secrets, by William Stein

Fall 2013:

• MAT 442: Advanced Linear Algebra
  TuTh 12:00-1:15 in PSA 306
  
  
  Prerequisites: MAT 243 or 300 with C or better; MAT 242, 342 or 343 with C or better

  Description: Fundamentals of linear algebra, dual spaces, invariant subspaces, canonical forms, bilinear and quadratic forms, and multilinear algebra. The first 2/3 of this course is devoted to proving the theorems from MAT 342, with the final third covering new material on canonical forms.

  Textbook: Linear Algebra, by Freidberg, Insel, and Spence

• MAT 542: Elliptic Curves
  TuTh 3:00-4:15 in PSA 307
  
  
  Prerequisites: An undergraduate course in abstract algebra such as MAT 444.

  Description: We study elliptic curves, primarily over the rationals, but over other fields such as the reals, complex numbers, and finite fields as well.

  Textbook: Rational Poitns on Elliptic Curves, by Silverman and Tate

Previous courses taught at ASU:

• Lower division: College Algebra, Finite Mathematics, Brief Calculus, Elementary Linear Algebra, Calculus with Analytic Geometry I and II,
• Upper division: Mathematical Structures, Linear Algebra, Advanced Linear Algebra, Intermediate Calculus, Advanced Calculus I, Introduction to Abstract Algebra, Intermediate Abstract Algebra, Theory of Numbers, Cryptography
• Graduate courses: Abstract Algebra, Elliptic Curves, p-adic Analysis, Algebraic Number Theory, Topics in Galois Theory, Modular Forms

Courses taught at University of Texas:

• Calculus I and II
• Brief calculus
• Undergraduate abstract algebra
• Geometry for preservice teachers
• Elliptic curves

Courses taught at Harvard University:

• Calculus I and II