John Jones - Courses

Courses

Fall 2009:

• MAT 442: Advanced Linear Algebra
  TuTh 9:00-10:15 in Discovery 181
  Prerequisites: MAT 300 and a previous linear algebra course
• MAT 443: Introduction to Abstract Algebra
  TuTh 10:30-11:45 in McClintock Hall 138
  Prerequisites: MAT 300 and a linear algebra course

Spring 2010:

• MAT 443: Introduction to Abstract Algebra
  TuTh 1:30-2:45 in ED 238
  
  
  Prerequisites: MAT 300 and a linear algebra course

  Description: Ordinarily, this course is not offered in the spring, and it usually covers an introduction to ring theory. This Spring, we are going to cover an introduction to group theory.

  Textbook: A First Course in Abstract Algebra by Fraliegh

• MAT 598: Algebraic Number Theory
  TuTh 9:00-10:15 in Lang and Lit 245
  
  
  Description: Algebraic number theory is a natural continuation in the study of abstract algebra. The main object of study is the ring of integers in a finite extension of the rational numbers. We will study the structure of its ideals, questions of unique factorization, and its units. In addition to abstract algebra, we will introduce techniques from the geometry of numbers and local fields.

  Prerequisite: Preferably a course in graduate algebra. MAT 544 can be taken concurrently. Students with good grades in MAT 442 and 444 can also enroll with permission from the instructor.

  Textbook: We will either work from Milne's online course notes, or Dr. Childress's textbook, or both.

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