Courses | Department of Mathematics

Courses

COVID-19 Information

UNT is planning a full return to normal in-person operations in August 2021. Some COVID mitigation efforts will continue through summer 2021. See our learn-math-anywhere page for informtation about how to succeed in mathematics courses during this time of continued COVID mitigation.

Schedule of Classes

  • Fall 2022
  • Summer 2022
  • Spring 2022
  • Wintermester 2021/2022: Math 1580.801 INET Barber, M
  • Fall 2021 (UNT returns to normal operations in Fall 2021. Classes marked INET meet fully online; a few INET sections have scheduled synchronous meeting times, but most INET sections meet fully asynchronously. All other fall classes are expected to meet face-to-face.)
  • Summer 2021 (Summer sections marked with specific classrooms take place in-person on our Denton campus. Summer sections marked "Remote" will meet via Zoom at the times shown. Summer sections marked "INET" will be fully online and generally will NOT have regularly scheduled synchronous online meetings.)

Catalog Course Descriptions

View the Course Descriptions from the University Catalog

Fall 2022 Undergraduate Courses

MATH 4080 Differential Geometry - John Krueger

Textbook: "Elementary Differential Geometry", Andrew Pressley

Prerequisites: Linear Algebra (Math 2700), Multivariable Calculus (Math 2730), Real Analysis (Math 3000)

This course is an introduction to differential geometry. We will learn how to apply multivariable calculus and linear algebra to study curves and surfaces in three dimensional space. Topics include the Frenet apparatus for curves, isometries, the Gauss map, the fundamental forms for surfaces, and geodesics. In addition to being a beautiful area of pure mathematics, differential geometry also serves as a mathematical foundation to areas of theoretical physics such as general relativity.

Students who take this course will receive geometry or analysis credit towards their math major. This is a new class starting this year and will appear in the UNT 2022-23 catalog.

Spring 2022 Graduate Courses

The topic of this course is set theory. The main subjects will be infinitary combinatorial principles and forcing axioms. The idea of forcing will be introduced with an emphasis on the countable chain condition property, but the forcing technique will not be developed in depth. We will study forcing axioms such as Martin's axiom and applications to the theory of trees, such as Aronszajn and Suslin trees, and to the real number line, such as partition theorems for continuous colorings and aleph_1 dense sets of reals. Students will be expected to attend, participate, and give occasional presentations.

  • MATH 6510 An introduction to the Modular Character Theory of Finite Groups - Douglas Brozovic (Syllabus MATH 6510)
  • MATH 6700 Introduction to Automorphic Forms - Ralf Schmidt
    • The course will count towards the breadth requirement in algebra
    • Prerequisite: MATH 5520-3

This course will be a gentle introduction to the theory of automorphic forms, using the modern language of representation theory. There are two important ingredients to this kind of approach: Algebraic groups, and the adeles. The only groups needed will be GL(1) and GL(2), so no matrices beyond size 2x2 will appear. To define the adeles, we will need p-adic fields, which we will carefully introduce.

Some time during the course modular forms will appear naturally, almost as an afterthought. We will thus see how the classical theory of modular forms is embedded into the more general theory of automorphic forms.

The only prerequisite for this course is to have taken the algebra qualifying sequence.

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