The Department of Mathematical Sciences offers undergraduate and graduate degree programs in mathematics for students with various interests and career goals. Students may pursue the standard program or a program focused on actuarial mathematics, applied mathematics, mathematics education, or mathematical statistics. Students may complement other interests by taking a double major in mathematics and a related field, such as chemistry, economics, physics, computer science, or engineering.

### Math Tutoring Center

The department manages the Math Tutoring Center, which offers free tutoring for first- and second-year math courses. Tutoring is given by advanced mathematics students and is available on a drop-in basis with daytime and evening hours throughout the semester.

### Math Learning Center

For a fee, the Math Learning Center offers self-paced and classroom noncredit tutorial programs for students who do not place into the math course they need. Special tutors and tutorial software are available to those enrolled in the program. Successful completion of the relevant program enables students to enroll in MATH 105 Precalculus Mathematics, MATH 108 Introductory Calculus with Business Applications (Mason Core), MATH 110 Introductory Probability (Mason Core), MATH 111 Linear Mathematical Modeling (Mason Core), or MATH 125 Discrete Mathematics I (Mason Core).

### Certificate in College Teaching

A student enrolled in the Mathematics, MS or Mathematics, PhD who is primarily interested in pursuing a career in undergraduate education at the college level is encouraged to consider enrolling in the College Teaching Graduate Certificate offered through the College of Humanities and Social Sciences.

Credit can be earned for HE 685 Practicum by working one semester as a graduate teaching assistant in the Department of Mathematical Sciences.

## Department Faculty

### Professors

Anderson, Colonna (graduate coordinator), Emelianenko, Goldin, Kulesza (associate chair), Lawrence, Morris, Sachs, Sander, Saperstone, Sauer (COS distinguished scholar), Seshaiyer, Singman, Soltan, Walnut (chair), Wanner

### Associate Professors

Antil, Agnarsson, Epstein, Griva (undergraduate coordinator), Lamba, Lawton

### Assistant Professors

Carchedi, Bulancea, De la Pena, Eckley, Fox, Lukyanenko, Holzer, Nelson, Rebhuhn-Glanz (R-G), Whelan

### Instructors

Andreani, Boyette, Coleson, Crossin, Granfield, Sausville

### Affiliates

Nash

### Emeriti

Cabell, Levy, Lin, Polyak, Saperstone, Shapiro

## Policies

### Writing-Intensive Requirement

Mason policy requires all students to complete at least one course designated as “writing intensive” in their major. Students majoring in mathematics fulfill this requirement by successfully completing MATH 290 Introduction to Advanced Mathematics.

### Teacher Licensure

Students who wish to become teachers should consult the College of Education and Human Development section of this catalog and attend an information session early in their studies. For more information, visit the Graduate School of Education.

### Information on Undergraduate MATH Courses

#### Admissions & Policies

**For Mathematics Majors**

The following cannot be used as substitutes for any requirements of the major in mathematics:

Code | Title | Credits |
---|---|---|

MATH 104 | Trigonometry and Transcendental Functions | 2 |

MATH 105 | Precalculus Mathematics | 4 |

MATH 106 | Quantitative Reasoning (Mason Core) | 3 |

MATH 108 | Introductory Calculus with Business Applications (Mason Core) | 3 |

MATH 110 | Introductory Probability (Mason Core) | 3 |

MATH 111 | Linear Mathematical Modeling (Mason Core) | 3 |

MATH 112 | Discrete Mathematics for IT | 3 |

MATH 271 | Mathematics for the Elementary School Teachers I | 3 |

MATH 272 | Mathematics for the Elementary School Teachers II | 3 |

#### For Non-mathematics Majors

- MATH 108 Introductory Calculus with Business Applications (Mason Core), MATH 110 Introductory Probability (Mason Core), and MATH 111 Linear Mathematical Modeling (Mason Core) are designed for students in the social and behavioral sciences.
- Liberal arts majors are advised to take MATH 106 Quantitative Reasoning (Mason Core), MATH 110 Introductory Probability (Mason Core), or MATH 111 Linear Mathematical Modeling (Mason Core).
- Students in the natural sciences who plan to do graduate work are advised to add courses from:
Course List Code Title Credits MATH 313 Introduction to Applied Analysis 3 MATH 314 Introduction to Applied Mathematics 3 MATH 351 Probability 3 MATH 352 Statistics 3 MATH 441 Deterministic Operations Research 3 MATH 442 Stochastic Operations Research 3 MATH 446 Numerical Analysis I 3 MATH 447 Numerical Analysis II 3

#### For Both Mathematics and Non-mathematics Majors

- MATH 104 Trigonometry and Transcendental Functions, MATH 105 Precalculus Mathematics, MATH 108 Introductory Calculus with Business Applications (Mason Core), MATH 112 Discrete Mathematics for IT, MATH 113 Analytic Geometry and Calculus I (Mason Core), MATH 125 Discrete Mathematics I (Mason Core) have a qualifying score on the Math Placement Test as a prerequisite. The Math Placement Test is given frequently; for the schedule, inquire at the department office or check the Department of Mathematical Sciences website.
- The sequence MATH 123 Calculus with Algebra/Trigonometry, Part A and MATH 124 Calculus with Algebra/Trigonometry, Part B (Mason Core) is an option for students who need MATH 113 Analytic Geometry and Calculus I (Mason Core) but believe they are not prepared for that course. In these two 3-credit courses, students will learn fundamental algebra and calculus so that upon completion of the sequence, students will be prepared for MATH 114 Analytic Geometry and Calculus II.
- Students who do not achieve the necessary test score needed to take a math course may go to the Math Learning Center, or they may study and retake the test on their own. A student who does not complete the relevant program in the Math Learning Center or does not achieve the necessary score on the Math Placement Test will not be able to enroll in the class. Depending on their test scores, students who do not place into MATH 113 Analytic Geometry and Calculus I (Mason Core) will be advised to take MATH 104 Trigonometry and Transcendental Functions or MATH 105 Precalculus Mathematics or visit the Math Learning Center to prepare for MATH 105 Precalculus Mathematics.
- MATH 104 Trigonometry and Transcendental Functions and MATH 105 Precalculus Mathematics do not fulfill the Mason Core 'Quantitative Reasoning' requirement.
- Students may not receive credit for both MATH 214 Elementary Differential Equations and MATH 216 Theory of Differential Equations; both MATH 213 Analytic Geometry and Calculus III and MATH 215 Analytic Geometry and Calculus III (Honors); both MATH 351 Probability and STAT 344 Probability and Statistics for Engineers and Scientists I; and both MATH 352 Statistics and STAT 354 Probability and Statistics for Engineers and Scientists II.
- After receiving a grade of 'C' or better in one of the courses listed below on the left, students may not receive credit for the corresponding course on the right:

Course | May Not Receive Credit for |
---|---|

MATH 113 or MATH 123 | MATH 105 or MATH 108 |

MATH 351 or STAT 344 | MATH 110 |

MATH 441 | MATH 111 |

MATH 125 | MATH 112 |

## Mathematics (MATH)

Prior to enrolling in undergraduate MATH courses, all students are strongly advised to review the Information on Undergraduate Mathematics Courses.

### 100 Level Courses

**MATH 104:**

*Trigonometry and Transcendental Functions.*2 credits.

**Registration Restrictions:**

**Required Prerequisite:** minimum score of 07 in 'Math Placement Algebra II'.

**Schedule Type:**Lecture

**MATH 105:**

*Precalculus Mathematics.*4 credits.

**Registration Restrictions:**

**Required Prerequisite:** minimum score of 13 in 'Math Placement Algebra I'.

**Schedule Type:**Lecture

**MATH 106:**

*Quantitative Reasoning.*3 credits.

**Mason Core:**Quantitative Reasoning

**Schedule Type:**Lecture

**MATH 108:**

*Introductory Calculus with Business Applications.*3 credits.

**Mason Core:**Quantitative Reasoning

**Registration Restrictions:**

**Required Prerequisite:** minimum score of 13 in 'Math Placement Algebra I'.

**Schedule Type:**Lecture

**MATH 110:**

*Introductory Probability.*3 credits.

**Mason Core:**Quantitative Reasoning

**Schedule Type:**Lecture

**MATH 111:**

*Linear Mathematical Modeling.*3 credits.

**Mason Core:**Quantitative Reasoning

**Schedule Type:**Lecture

**MATH 112:**

*Discrete Mathematics for IT.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** minimum score of 13 in 'Math Placement Algebra I', MATH 105^{C}, 108^{C} or 113^{C}.^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 113:**

*Analytic Geometry and Calculus I.*4 credits.

**Mason Core:**Quantitative Reasoning

**Registration Restrictions:**

**Required Prerequisites:** (minimum score of 07 in 'Math Placement Transcendentals', MATH 105^{C} or 104^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture, Recitation

**MATH 114:**

*Analytic Geometry and Calculus II.*4 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 113^{C} or U113) or (MATH 123^{C} and 124^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture, Recitation

**MATH 115:**

*Analytic Geometry and Calculus I (Honors).*4 credits.

**Mason Core:**Quantitative Reasoning

**Recommended Prerequisite:**Permission of instructor.

**Registration Restrictions:**

**Required Prerequisite:** (minimum score of 65 in 'Math Placement Transcendentals').

**Schedule Type:**Lecture, Recitation

**MATH 116:**

*Analytic Geometry and Calculus II (Honors).*4 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 115^{C}, U115 or 113^{A}).^{C} Requires minimum grade of C.^{A} Requires minimum grade of A.

**Schedule Type:**Lecture, Recitation

**MATH 123:**

*Calculus with Algebra/Trigonometry, Part A.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (minimum score of 13 in 'Math Placement Algebra I' and minimum score of 07 in 'Math Placement Algebra II') or MATH 105^{C} or 104^{C}.^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 124:**

*Calculus with Algebra/Trigonometry, Part B.*3 credits.

**Mason Core:**Quantitative Reasoning

**Registration Restrictions:**

**Required Prerequisite:** MATH 123^{C}.^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 125:**

*Discrete Mathematics I.*3 credits.

**Mason Core:**Quantitative Reasoning

**Registration Restrictions:**

**Required Prerequisites:** minimum score of 13 in 'Math Placement Algebra I', MATH 105^{C}, 108^{C} or 113^{C}.^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 175:**

*Mathematics of Cryptography: An Introduction.*3 credits.

**Recommended Prerequisite:**B or better in a calculus course.

**Schedule Type:**Laboratory, Lecture

### 200 Level Courses

**MATH 203:**

*Linear Algebra.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 114^{C}, 114T or 116^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture, Recitation

**MATH 213:**

*Analytic Geometry and Calculus III.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 114^{C}, 114T or 116^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture, Recitation

**MATH 214:**

*Elementary Differential Equations.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 213^{C}, 213T or 215^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture, Recitation

**MATH 215:**

*Analytic Geometry and Calculus III (Honors).*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 114^{C} or 116^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture, Recitation

**MATH 216:**

*Theory of Differential Equations.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 203^{C} or U203) and (MATH 213^{C}, U213, 215^{C} or U215).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 271:**

*Mathematics for the Elementary School Teachers I.*3 credits.

**Recommended Prerequisite:**Grade of C or better in 3 credits of college math.

**Schedule Type:**Lecture

**MATH 272:**

*Mathematics for the Elementary School Teachers II.*3 credits.

**Registration Restrictions:**

**Required Prerequisite:** (MATH 271^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 290:**

*Introduction to Advanced Mathematics.*3 credits.

**Specialized Designation:**Scholarly Inquiry, Writing Intensive in the Major

**Registration Restrictions:**

**Required Prerequisites:** (MATH 114^{C}, 114T or 116^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

### 300 Level Courses

**MATH 301:**

*Number Theory.*3 credits.

**Recommended Prerequisite:**Completion of 6 hours of MATH.

**Schedule Type:**Lecture

**MATH 302:**

*Foundations of Geometry.*3 credits.

**Recommended Prerequisite:**Completion of 6 hours of MATH.

**Schedule Type:**Lecture

**MATH 307:**

*Mathematical Modeling.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 203^{C}) and (MATH 214^{C} or 216^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 312:**

*Geometry.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 114^{C} or 116^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 313:**

*Introduction to Applied Analysis.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 213^{C}, 213T or 215^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 314:**

*Introduction to Applied Mathematics.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 214^{C}, U214, 216^{C} or U216).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 315:**

*Advanced Calculus I.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 213^{C} or 215^{C}) and MATH 290^{C}.^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 316:**

*Advanced Calculus II.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 315^{C} or L315).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 321:**

*Abstract Algebra.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 213^{C} or 215^{C}) and (MATH 290^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 322:**

*Advanced Linear Algebra.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 203^{C} or U203) and (MATH 290^{C} or U290).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 325:**

*Discrete Mathematics II.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 125^{C} or 125T).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 351:**

*Probability.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 213^{C}, 215^{C} or 215T).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 352:**

*Statistics.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 351^{C} or L351).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

### 400 Level Courses

**MATH 400:**

*History of Math (Topic Varies).*3 credits.

**Mason Core:**Synthesis

**Registration Restrictions:**

**Required Prerequisites:** (MATH 290^{C} or 290T).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**Additional Course Details:**Title varies by section and/or semester

**MATH 401:**

*Mathematics through 3D Printing.*3 credits.

**Mason Core:**Capstone

**Recommended Prerequisite:**MATH 290 and at least 3 credits of Mathematics above MATH 300.

**Schedule Type:**Lecture

**MATH 405:**

*Honors Thesis in Mathematics I.*3 credits.

**Specialized Designation:**Research Associated

**Recommended Prerequisite:**MATH 315, three additional credits of MATH above the 300 level (excluding MATH 400) and admission to the Honors Program in Mathematics.

**Schedule Type:**Independent Study

**MATH 406:**

*RS: Honors Thesis in Mathematics II.*3 credits.

**Specialized Designation:**Research/Scholarship Intensive

**Registration Restrictions:**

**Required Prerequisite:** (MATH 405^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Independent Study

**MATH 411:**

*Functions of a Complex Variable.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 214^{C} or 214T) or (MATH 216^{C} or 216T).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 413:**

*Modern Applied Mathematics I.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 203^{C} or 203T) and (MATH 214^{C} or 214T) or (MATH 216^{C} or 216T).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 414:**

*Modern Applied Mathematics II.*3 credits.

**Registration Restrictions:**

**Required Prerequisite:** (MATH 413^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 431:**

*Topology.*3 credits.

**Registration Restrictions:**

**Required Prerequisite:** (MATH 315^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 441:**

*Deterministic Operations Research.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 203^{C} or 203T).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 442:**

*Stochastic Operations Research.*3 credits.

**Registration Restrictions:**

**Required Prerequisite:** (MATH 351^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 446:**

*Numerical Analysis I.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 203^{C} or 203T) and (CS 112^{C} or 112T).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 447:**

*Numerical Analysis II.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 214^{C}, 214T, 216^{C} or 216T) and (MATH 446^{C}).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 453:**

*Advanced Mathematical Statistics.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** MATH 352^{C} or STAT 356^{C}.^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 478:**

*Introduction to Partial Differential Equations with Numerical Methods.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** (MATH 203^{C} or 203T) and (MATH 214^{C} or 214T) or (MATH 216^{C} or 216T).^{C} Requires minimum grade of C.

**Schedule Type:**Lecture

**MATH 491:**

*Reading and Problems.*1-3 credits.

**Recommended Corequisite:**For mathematical science majors only.

**Schedule Type:**Independent Study

**MATH 493:**

*Topics in Applicable Mathematics.*3 credits.

**Recommended Prerequisite:**6 credits of MATH at or above the 310 level.

**Schedule Type:**Lecture, Recitation

**Additional Course Details:**Title varies by section and/or semester

**MATH 494:**

*Topics in Pure Mathematics.*3 credits.

**Recommended Prerequisite:**6 hours of MATH at or above the 310 level.

**Schedule Type:**Lecture

**Additional Course Details:**Title varies by section and/or semester

**MATH 495:**

*Undergraduate Seminar.*1 credit.

**Schedule Type:**Seminar

### 500 Level Courses

**MATH 551:**

*Regression and Time Series.*3 credits.

**Registration Restrictions:**

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 553:**

*Advanced Mathematical Statistics in Actuarial Sciences.*3 credits.

**Registration Restrictions:**

**Required Prerequisites:** MATH 352^{C}, STAT 356^{C} or MATH 554^{C}.^{C} Requires minimum grade of C.

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 554:**

*Financial Mathematics.*3 credits.

**Recommended Prerequisite:**MATH 113.

**Recommended Corequisite:**MATH 114.

**Registration Restrictions:**

Enrollment limited to students with a class of Advanced to Candidacy, Graduate, Non-Degree or Senior Plus.

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 555:**

*Actuarial Modeling I.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 556:**

*Actuarial Modeling II.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 557:**

*Financial Derivatives.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

### 600 Level Courses

**MATH 600:**

*Special Topics in Mathematics.*1-6 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**Additional Course Details:**Title varies by section and/or semester

**MATH 601:**

*Analysis I for Teachers.*3 credits.

**Recommended Corequisite:**Open only to inservice math teachers at the middle or secondary level, or by permission of instructor.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 602:**

*Analysis II for Teachers.*3 credits.

**Recommended Corequisite:**Open only to inservice math teachers at the middle or secondary level, or by Permission of Instructor.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 604:**

*Geometry for Teachers.*3 credits.

**Recommended Corequisite:**Open only to inservice math teachers at the middle or secondary level, or by permission of instructor.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 605:**

*Discrete/Finite Mathematics for Teachers.*3 credits.

**Recommended Corequisite:**Open only to inservice math teachers at the middle or secondary level, or by permission of instructor.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 607:**

*Algebraic Structure for Teachers.*3 credits.

**Recommended Corequisite:**Open only to inservice math teachers at the middle or secondary level, or by permission of instructor.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 608:**

*Problem Solving in Mathematics.*3 credits.

**Recommended Corequisite:**Open only to inservice math teachers at the middle or secondary level, or by Permission of Instructor.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 610:**

*Number Systems and Number Theory for K-8 Teachers.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 611:**

*Geometry and Measurement for K-8 Teachers.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 612:**

*Probability and Statistics for K-8 Teachers.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 613:**

*Algebra and Functions for K-8 Teachers.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 614:**

*Rational Numbers and Proportional Reasoning for K-8 Teachers.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 619:**

*Topics in Mathematical Logic.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**Additional Course Details:**Title varies by section and/or semester

**MATH 621:**

*Algebra I.*3 credits.

**Recommended Prerequisite:**Familiarity with basic properties of groups and rings or permission of instructor.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 624:**

*Euclidean Geometry.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 625:**

*Numerical Linear Algebra.*3 credits.

**Recommended Prerequisite:**Computer literacy, including some programming experience.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 629:**

*Topics in Algebra.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**Additional Course Details:**Title varies by section and/or semester

**MATH 631:**

*Topology I: Topology of Metric Spaces.*3 credits.

**Recommended Prerequisite:**MATH 315 or equivalent.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 639:**

*Topics in Geometry and Topology.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**Additional Course Details:**Title varies by section and/or semester

**MATH 641:**

*Combinatorics and Graph Theory.*3 credits.

**Recommended Prerequisite:**MATH 321 or equivalent.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 644:**

*Convex and Discrete Geometry.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 649:**

*Topics in Combinatorics.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**Additional Course Details:**Title varies by section and/or semester

**MATH 653:**

*Construction and Evaluation of Actuarial Models I.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 654:**

*Construction and Evaluation of Actuarial Models II.*3 credits.

**Recommended Prerequisite:**MATH 556 or permission of instructor.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 655:**

*Pension Valuation.*3 credits.

**Recommended Prerequisite:**MATH 556, SOA Exam EA-1, or permission of instructor.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 661:**

*Complex Analysis I.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 671:**

*Fourier Analysis.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 673:**

*Dynamical Systems.*3 credits.

**Recommended Prerequisite:**Elementary courses in linear algebra and differential equations.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 674:**

*Stochastic Differential Equations.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 675:**

*Linear Analysis.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 677:**

*Ordinary Differential Equations.*3 credits.

**Recommended Prerequisite:**MATH 214 or equivalent.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 678:**

*Partial Differential Equations.*3 credits.

**Recommended Prerequisite:**Elementary differential equations course.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 679:**

*Topics in Analysis and Potential Theory.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**Additional Course Details:**Title varies by section and/or semester

**MATH 680:**

*Industrial Mathematics.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 683:**

*Modern Optimization Theory.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 685:**

*Numerical Analysis.*3 credits.

**Recommended Prerequisite:**Computer literacy, including some programming experience.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 686:**

*Numerical Solutions of Differential Equations.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 687:**

*Variational Methods.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 689:**

*Topics in Applied and Computational Mathematics.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**Additional Course Details:**Title varies by section and/or semester

**MATH 697:**

*Independent Reading and Research.*1-6 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate, Non-Degree or Undergraduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Independent Study

### 700 Level Courses

**MATH 721:**

*Algebra II.*3 credits.

**Recommended Prerequisite:**MATH 621.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 722:**

*Algebraic Topology.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 723:**

*Combinatorial Structures.*3 credits.

**Recommended Prerequisite:**MATH 321 or equivalent.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 724:**

*Commutative Algebra.*3 credits.

**Recommended Prerequisite:**MATH 621.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 732:**

*Topology II: Set-Theoretic Topology.*3 credits.

**Recommended Prerequisite:**MATH 631 or equivalent.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 740:**

*Differential Topology.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 762:**

*Complex Analysis II.*3 credits.

**Recommended Prerequisite:**MATH 661.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 763:**

*Functions of Several Complex Variables.*3 credits.

**Recommended Prerequisite:**MATH 661 and MATH 762 or an equivalent preparation in one complex variable.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 772:**

*Wavelet Theory.*3 credits.

**Recommended Prerequisite:**MATH 315 or equivalent.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 776:**

*Measure and Integration.*3 credits.

**Recommended Prerequisite:**MATH 675.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 781:**

*Advanced Methods in Applied Mathematics.*3 credits.

**Recommended Prerequisite:**MATH 677 or permission of instructor.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 784:**

*Nonlinear Functional Analysis.*3 credits.

**Recommended Prerequisite:**MATH 675 or permission of instructor.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 790:**

*Classical Potential Theory.*3 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Lecture

**MATH 795:**

*Graduate Seminar.*1 credit.

**Recommended Prerequisite:**Enrolled in the PhD program in Mathematics.

**Registration Restrictions:**

Enrollment is limited to Graduate level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Seminar

**MATH 799:**

*MS Thesis.*1-6 credits.

**Registration Restrictions:**

Enrollment is limited to Graduate or Non-Degree level students.

Students in a Non-Degree Undergraduate degree may **not** enroll.

**Schedule Type:**Thesis

### 800 Level Courses

**MATH 800:**

*Studies for the Doctor of Philosophy in Education.*1-6 credits.

**Recommended Prerequisite:**Admission to the Ph.D. in Education program to study in mathematical sciences.

**Registration Restrictions:**

Enrollment is limited to Graduate level students.

**Schedule Type:**Independent Study

### 900 Level Courses

**MATH 998:**

*Doctoral Dissertation Proposal.*1-9 credits.

**Recommended Prerequisite:**Successful completion of qualifying exam.

**Registration Restrictions:**

Enrollment is limited to Graduate level students.

**Schedule Type:**Dissertation

**MATH 999:**

*Doctoral Dissertation.*1-12 credits.

**Registration Restrictions:**

Enrollment limited to students with a class of Advanced to Candidacy.

Enrollment is limited to Graduate level students.

**Schedule Type:**Dissertation