# Mathematics (MATH)

**MATH 511**

**- Probability**

**(3 Credits)**

**Prerequisite or Corequisite:**C or better in MATH 241.

**Cross-listed course:**STAT 511

**MATH 514**

**- Financial Mathematics I**

**(3 Credits)**

**Prerequisites:**C or better in MATH 241.

**Cross-listed course:**STAT 522

**MATH 515**

**- Financial Mathematics II**

**(3 Credits)**

**Cross-listed course:**STAT 523

**MATH 520**

**- Ordinary Differential Equations**

**(3 Credits)**

**Prerequisites:**C or better in MATH 344 or MATH 544.

**MATH 521**

**- Boundary Value Problems and Partial Differential Equations**

**(3 Credits)**

**Prerequisites:**C or better in MATH 520 or in both MATH 241 and MATH 242.

**MATH 522**

**- Wavelets**

**(3 Credits)**

**Prerequisites:**C or better in MATH 344 or MATH 544.

**MATH 523**

**- Mathematical Modeling of Population Biology**

**(3 Credits)**

**Prerequisites:**C or better in MATH 142, BIOL 301, or MSCI 311 recommended.

**MATH 524**

**- Nonlinear Optimization**

**(3 Credits)**

**Prerequisites:**C or better in MATH 241 and one of MATH 344 or MATH 544.

**MATH 525**

**- Mathematical Game Theory**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300 and in either MATH 344 or MATH 544.

**MATH 526**

**- Numerical Linear Algebra**

**(4 Credits)**

**Prerequisites:**C or better in MATH 142.

**MATH 527**

**- Numerical Analysis**

**(3 Credits)**

**Prerequisites:**C or better in MATH 520 or in both MATH 242 and MATH 344.

**Cross-listed course:**CSCE 561

**MATH 528**

**- Mathematical Foundation of Data Science and Machine Learning**

**(3 Credits)**

**Prerequisites:**C or better in MATH 344 or MATH 544.

**MATH 529**

**- Introduction to Deep Neural Networks**

**(3 Credits)**

**Prerequisites:**C or better in MATH 344 or MATH 544.

**MATH 531**

**- Foundations of Geometry**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300.

**MATH 532**

**- Modern Geometry**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300.

**MATH 533**

**- Elementary Geometric Topology**

**(3 Credits)**

**Prerequisites:**C or better in MATH 241 and MATH 300.

**MATH 534**

**- Elements of General Topology**

**(3 Credits)**

**Prerequisites:**C or better in MATH 241 and MATH 300.

**MATH 540**

**- Modern Applied Algebra**

**(3 Credits)**

**Prerequisites:**MATH 300.

**MATH 541**

**- Algebraic Coding Theory**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300 and in either of MATH 344 or MATH 544.

**MATH 544**

**- Linear Algebra**

**(3 Credits)**

**Prerequisites:**C or better in MATH 241 and MATH 300.

**MATH 546**

**- Algebraic Structures I**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300 and 544.

**MATH 547**

**- Algebraic Structures II**

**(3 Credits)**

**Prerequisites:**C or better in MATH 546.

**MATH 548**

**- Geometry, Algebra, and Algorithms**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300 and in one of MATH 344 or MATH 544.

**MATH 550**

**- Vector Analysis**

**(3 Credits)**

**Prerequisites:**C or better in MATH 241.

**MATH 551**

**- Introduction to Differential Geometry**

**(3 Credits)**

**Prerequisites:**C or better in MATH 241 and MATH 300.

**MATH 552**

**- Applied Complex Variables**

**(3 Credits)**

**Prerequisites:**C or better in MATH 241.

**MATH 554**

**- Analysis I**

**(3 Credits)**

**MATH 555**

**- Analysis II**

**(3 Credits)**

**Prerequisites:**C or better in MATH 554.

**MATH 561**

**- Introduction to Mathematical Logic**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300.

**MATH 562**

**- Theory of Computation**

**(3 Credits)**

**Prerequisites:**C or better in CSCE 350 or MATH 300.

**Cross-listed course:**CSCE 551

**MATH 570**

**- Discrete Optimization**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300 and in one of MATH 544 or MATH 344.

**MATH 574**

**- Discrete Mathematics I**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300.

**MATH 575**

**- Discrete Mathematics II**

**(3 Credits)**

**MATH 576**

**- Combinatorial Game Theory**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300 or MATH 374.

**MATH 580**

**- Elementary Number Theory**

**(3 Credits)**

**Prerequisites:**C or better in MATH 300.

**MATH 587**

**- Introduction to Cryptography**

**(3 Credits)**

**Prerequisites:**C or better in CSCE 145 or MATH 241, and at least one of CSCE 355, MATH 300, or MATH 374.

**Cross-listed course:**CSCE 557

**MATH 599**

**- Topics in Mathematics**

**(1-3 Credits)**

**MATH 602**

**- An Inductive Approach to Geometry**

**(3 Credits)**

**Prerequisites:**C or better in MATH 122 or MATH 141 or equivalent.

**MATH 603**

**- Inquiry Approach to Algebra**

**(3 Credits)**

**Prerequisites:**C or higher in MATH 122 or MATH 141 or equivalent.

**MATH 650**

**- AP Calculus for Teachers**

**(3 Credits)**

**Prerequisites:**current secondary high school teacher certification in mathematics and a C or better in at least 6 hours of calculus.

**MATH 700**

**- Linear Algebra**

**(3 Credits)**

**MATH 701**

**- Algebra I**

**(3 Credits)**

**MATH 701I**

**- Foundations of Algebra I**

**(3 Credits)**

**Prerequisites:**MATH 241 or equivalent.

**MATH 702**

**- Algebra II**

**(3 Credits)**

**Prerequisites:**MATH 701.

**MATH 702I**

**- Foundations of Algebra II**

**(3 Credits)**

**Prerequisites:**MATH 701I or equivalent.

**MATH 703**

**- Analysis I**

**(3 Credits)**

**MATH 703I**

**- Foundations of Analysis I**

**(3 Credits)**

**Prerequisites:**MATH 241 or equivalent.

**MATH 704**

**- Analysis II**

**(3 Credits)**

**MATH 704I**

**- Foundations of Analysis II**

**(3 Credits)**

**Prerequisites:**MATH 703I or equivalent.

**MATH 705**

**- Analysis III**

**(3 Credits)**

**MATH 708**

**- Foundations of Computational Mathematics I**

**(3 Credits)**

**Prerequisites:**MATH 554 or equivalent upper level undergraduate course in Real Analysis.

**MATH 709**

**- Foundations of Computational Mathematics II**

**(3 Credits)**

**MATH 710**

**- Probability Theory I**

**(3 Credits)**

**Cross-listed course:**STAT 810

**MATH 711**

**- Probability Theory II**

**(3 Credits)**

**Cross-listed course:**STAT 811

**MATH 712I**

**- Probability and Statistics**

**(3 Credits)**

**MATH 720**

**- Applied Mathematics I**

**(3 Credits)**

**MATH 721**

**- Applied Mathematics II**

**(3 Credits)**

**Prerequisites:**MATH 720.

**MATH 722**

**- Numerical Optimization**

**(3 Credits)**

**MATH 723**

**- Differential Equations**

**(3 Credits)**

**MATH 724**

**- Differential Equations II**

**(3 Credits)**

**Prerequisites:**MATH 723.

**MATH 725**

**- Approximation Theory**

**(3 Credits)**

**Prerequisite or Corequisite:**MATH 703.

**MATH 726**

**- Numerical Differential Equations I**

**(3 Credits)**

**MATH 727**

**- Numerical Differential Equations II**

**(3 Credits)**

**Prerequisites:**MATH 726.

**MATH 728**

**- Selected Topics in Applied Mathematics**

**(3 Credits)**

**MATH 729**

**- Nonlinear Approximation**

**(3 Credits)**

**Prerequisites:**MATH 703.

**MATH 730**

**- General Topology I**

**(3 Credits)**

**MATH 731**

**- General Topology II**

**(3 Credits)**

**MATH 732**

**- Algebraic Topology I**

**(3 Credits)**

**MATH 733**

**- Algebraic Topology II**

**(3 Credits)**

**MATH 734**

**- Differential Geometry**

**(3 Credits)**

**Prerequisites:**MATH 550.

**MATH 735**

**- Lie Groups**

**(3 Credits)**

**MATH 736I**

**- Modern Geometry**

**(3 Credits)**

**Prerequisites:**MATH 241 or equivalent.

**MATH 737**

**- Introduction to Complex Geometry**

**(3 Credits)**

**Prerequisite or Corequisite:**MATH 701.

**MATH 738**

**- Selected Topics in Geometry and Topology**

**(3 Credits)**

**MATH 739**

**- Introduction to Complex Geometry II**

**(3 Credits)**

**Prerequisites:**MATH 737.

**MATH 741**

**- Algebra III**

**(3 Credits)**

**Prerequisites:**MATH 702.

**MATH 742**

**- Representation Theory**

**(3 Credits)**

**Prerequisites:**MATH 702.

**MATH 743**

**- Lattice Theory**

**(3 Credits)**

**Prerequisites:**MATH 740.

**MATH 744**

**- Matrix Theory**

**(3 Credits)**

**Prerequisites:**MATH 700.

**MATH 746**

**- Commutative Algebra**

**(3 Credits)**

**Prerequisites:**MATH 701.

**MATH 747**

**- Algebraic Geometry**

**(3 Credits)**

**Prerequisites:**MATH 701.

**MATH 748**

**- Selected Topics in Algebra**

**(3 Credits)**

**MATH 750**

**- Fourier Analysis**

**(3 Credits)**

**MATH 751**

**- The Mathematical Theory of Wavelets**

**(3 Credits)**

**Prerequisites:**MATH 703.

**MATH 752**

**- Complex Analysis**

**(3 Credits)**

**MATH 752I**

**- Complex Variables**

**(3 Credits)**

**Prerequisites:**MATH 241 or equivalent.

**MATH 754**

**- Several Complex Variables**

**(3 Credits)**

**MATH 755**

**- Applied Functional Analysis**

**(3 Credits)**

**Prerequisites:**MATH 703.

**MATH 756**

**- Functional Analysis I**

**(3 Credits)**

**Prerequisites:**MATH 704.

**MATH 757**

**- Functional Analysis II**

**(3 Credits)**

**Prerequisites:**MATH 704.

**MATH 758**

**- Selected Topics in Analysis**

**(3 Credits)**

**MATH 760**

**- Set Theory**

**(3 Credits)**

**MATH 761**

**- The Theory of Computable Functions**

**(3 Credits)**

**MATH 762**

**- Model Theory**

**(3 Credits)**

**MATH 764**

**- Quantum Information**

**(3 Credits)**

**MATH 768**

**- Selected Topics in Foundations of Mathematics**

**(3 Credits)**

**MATH 770**

**- Discrete Optimization**

**(3 Credits)**

**MATH 774**

**- Discrete Mathematics I**

**(3 Credits)**

**MATH 775**

**- Discrete Mathematics II**

**(3 Credits)**

**Prerequisites:**MATH 774.

**MATH 776**

**- Graph Theory I**

**(3 Credits)**

**MATH 777**

**- Graph Theory II**

**(3 Credits)**

**Prerequisites:**MATH 776.

**MATH 778**

**- Selected Topics in Discrete Mathematics**

**(3 Credits)**

**MATH 780**

**- Elementary Number Theory**

**(3 Credits)**

**MATH 780I**

**- Theory of Numbers**

**(3 Credits)**

**Prerequisites:**MATH 241 or equivalent.

**MATH 782**

**- Analytic Number Theory I**

**(3 Credits)**

**MATH 783**

**- Analytic Number Theory II**

**(3 Credits)**

**MATH 784**

**- Algebraic Number Theory**

**(3 Credits)**

**MATH 785**

**- Transcendental Number Theory**

**(3 Credits)**

**Prerequisites:**MATH 580.

**MATH 788**

**- Selected Topics in Number Theory**

**(3 Credits)**

**MATH 790**

**- Graduate Seminar**

**(1 Credit)**

**MATH 791**

**- Mathematics Pedagogy I**

**(0-1 Credits)**

**MATH 792**

**- Mathematics Pedagogy II**

**(0-1 Credits)**

**Prerequisites:**Satisfactory grade in MATH 791.

**MATH 797**

**- Mathematics into Print**

**(3 Credits)**

**MATH 798**

**- Directed Readings and Research**

**(1-6 Credits)**

**MATH 799**

**- Thesis Preparation**

**(1-9 Credits)**

**MATH 890**

**- Graduate Seminar**

**(1-3 Credits)**

**MATH 899**

**- Dissertation Preparation**

**(1-12 Credits)**