UF Mathematics

3000-Level Courses

The 3000-level math courses may be grouped into the categories below. It is important that the student read the current Undergraduate Catalog entry for any course in which he or she is interested, and pay attention to the prerequisites. This and other information can be obtained by clicking on the course-number links below.

• Transition courses. These courses, intended primarily for math majors, are designed to help students make the transition from thinking of mathematics only as a collection formula-manipulating techniques to understanding also the conceptual side of mathematics, in which theorems and their proofs are core ingredients. A grade of C or higher in one of these courses is required before the student may take the theoretically-oriented linear algebra course MAS 4105, a core course for math majors and a gateway to many other courses.
  • MAS 3300 Numbers and Polynomials
  • MHF 3202 Sets and Logic

Students should not take more than one of the transition courses without approval from the math department's Undergraduate Coordinator.

• Courses primarily of interest to Bachelor of Arts math majors, including prospective teachers. All the courses in this group except MTG 3214 may be counted towards the elective requirement for the Bachelor of Science degree as well. However for students with catalog-year 2005 or later, up to three 3000-level math-major electives may be counted towards this requirement for the B.A., while for the B.S. at most one will count. (See the distinction between B.A. and B.S. requirments and the math-major electives list.)

  • MHF 3404 History of Mathematics

  • Geometry courses. To be licensed to teach high-school mathematics in the state of Florida, a prospective teacher must have completed a college-level geometry class. Both of the classes below serve this function; however, only MTG 3214 is geared specifically to ground students in the foundations of the geometry usually taught in high schools.
    • MTG 3212 Geometry. (May be counted towards the B.A. or B.S. degree in math.)
    • MTG 3214 Euclidean Geometry. (May be counted only towards the B.A. degree in math, not the B.S., and only for students with catalog-year 2005 or later. For students with catalog-year 2004 or earlier, MTG 3214 does not count towards either math degree. Prospective teachers with catalog-years 2004 or earlier should consider switching to a later catalog-year, but should speak with a math department advisor before making a change.) Students should not take more than one of the geometry courses without approval from the math department's Undergraduate Coordinator.

• Course of interest to majors and non-majors
  • MAD 3107 Discrete Mathematics
• MAS 3114 Computational Linear Algebra. Linear algebra is widely used in the sciences and engineering, as well as in pure and applied mathematics. MAS 3114 is designed primarily to serve non-math-majors, for whom the computational aspects of linear algebra are usually more important than the theoretical aspects. MAS 3114 may be taken without first taking one of the transition courses mentioned above.

  Note: MAS 3114 does not meet any math-major requirement. Under no circumstances will it substitute for MAS 4105 or count as a math-major elective. A non-math-major who takes MAS 3114 and later switches to math as a major, or adds math as an extra major, will still have to take MAS 4105.

• MAE 3811 Mathematics for Elementary School Teachers 2. This course is open only to students with a major in the College of Education, and is a required course for Elementary Education majors. It does not count towards any math-major requirement.

Last update made by D. Groisser Mon Jun 4 19:35:09 EDT 2007
Please report problems to: www@math.ufl.edu