Mathematics Graduate Catalogue

**Department Chairperson:** Kapila Rohan Attele

**Mathematics Graduate Program Advisor**: Paul Musial

**Graduate Faculty:** Victor Akatsa, Kapila Rohan Attele, Jan-Jo Chen, Johng-Chern Chern, Daniel J. Hrozencik,
Anil Mehta, Paul Musial, Richard Solakiewicz, Asmamaw Yimer.

The Department of Mathematics and Computer Science offers a program of study that leads to a Master of Science degree in Mathematics. The program is especially designed to meet the needs of the busy professional. With evening courses, research seminars, and interdisciplinary studies in physical and life sciences, the program offers opportunities for enrichment and professional growth.

The department is especially proud of its record of providing access to students with strong academic potential. Students can learn in a supportive environment and engage in scholarly activities outside the classroom setting. They can participate in research seminars and colloquia or graduate students' seminars. Each year, the department offers a major lecture series in the spring semester. The program keeps abreast of the needs of potential employers with an advisory board consisting of representatives from industry, City Colleges of Chicago, and Chicago Board of Education.

A limited number of graduate assistantships are offered, subject to the availability of funds. Graduate assistants may teach under mentorship of a regular faculty member and attend case studies workshops on various teaching scenarios to gain teaching experience.

The Graduate Students' Handbook describes departmental policies in detail and has other useful information such as links to useful websites. Policies for graduate assistants are in the booklet Procedures for Graduate Assistants. Both publications are available from the department.

Master of Science in Mathematics

**General Requirements**

- Fulfillment of the general requirements for admission to the School of Graduate and Professional Studies.
- A bachelor's degree from an accredited institution with an undergraduate concentration in mathematics and a B average or better (3.0 or higher from a 4.0 scale) in advanced undergraduate mathematics courses. An undergraduate concentration in mathematics is defined as successful completion of at least four advanced mathematics courses.
- Applicants without the above-mentioned requisite concentration or average may gain conditional admission.
- Any international student who wishes to apply to the Masters of Science in Mathematics program must, in addition to fulfilling all other requirements, submit an official copy of scores received on the mathematics subject test of the Graduate Records Examination (GRE).
- To gain full admission, students with conditional admission status are required to complete four approved graduate courses (which could be credited to the degree) with a B average or better and, if needed, their prerequisite courses.
- Completion of at least 33 graduate credit hours.
- A maximum of 12 credit hours of approved 4000-level courses completed in graduate student status may be applied towards the degree provided a grade of B or better is earned in each. Two of these 4000-level courses (maximum of six hours) may be chosen, with the consent of the graduate adviser, from interdisciplinary courses in mathematical biology, mathematical physics, or computer science.

**Specific Requirements**

**REQUIRED COURSES (9 HOURS) **MATH 5220, 5420, and select one course in an area of geometry selected from the following:
MATH 5120, 5130, 5140.

**COMPLETION OF MASTER'S PROJECT (MATH 5950 - 3 HOURS) or MASTER'S THESIS (MATH 5980*
- 6 HOURS).**

**COMPLETION OF THREE ADDITIONAL ELECTIVE COURSES AT THE 5000- LEVEL.**

Selected with the approval of the graduate advisor.

**COMPLETION OF THE REMAINING 9-12 HOURS , SELECTED FROM APPROVED 4000- OR 5000-LEVEL
MATHEMATICS COURSES THAT ARE APPLICABLE TO THE MASTER'S DEGREE.**

The following 4000-level courses cannot be applied to the master's degree: 3005, 4000, 4010, 4020, 4040, 4050, 4060, 4070, 4920, 4940. This list is not exhaustive; consult the graduate advisor.

* Needs prior approval from the graduate committee.

*Mathematics (MATH) Course offerings*

NOTE: Students enrolling in a mathematics class must receive at least a grade of C in all its prerequisite mathematics and computer science courses.

**5000 CONTINUING EDUCATION TOPICS FOR PRIMARY SCHOOL MATHEMATICS TEACHERS (1-3)**

Prerequisite: Standard Teaching Certificate.

An exploration of both content and pedagogical topics for teachers of primary school mathematics. Topics may include new curriculum programs, materials and teaching strategies, calculators and computers, number systems, operations of arithmetic, and problem solving, as well as topics of current interest. A hands-on approach using manipulative and concrete models will be a focus for the course. May be repeated for up to a maximum of six credit hours. Cannot be used to satisfy requirements for certification or for a bachelor's or master's degree.

**5005 CONTINUING EDUCATIONTOPICS FOR MIDDLE SCHOOL MATHEMATICS TEACHERS (1-3) **Prerequisite: Standard Teaching Certificate

**5010 A REVIEW OF MATHEMATICAL TOPICS (3) **Prerequisite: Bachelor's degree and consent of the department.

**5020 RECENT TRENDS IN MATHEMATICS (3) **Prerequisite: Bachelor's degree and/or consent of the department.

**5040 NUMBER THEORY FOR MIDDLE SCHOOL TEACHERS (3) **Prerequisite: MATH 1020 or MATH 1200 or HON 1300 and HON 1310; and a 2000-level mathematics
course.

**5050 GEOMETRY FOR MIDDLE SCHOOL TEACHERS (3) **Prerequisite: MATH 1020 or MATH 1200 or HON 1300 and 1310; and a 2000-level mathematics
course.

**5060 MODERN ALGEBRA FOR MIDDLE SCHOOL TEACHERS (3) **Prerequisite: MATH 1210 or MATH 1200 or HON 1300 and 1310 or equivalent; and a 2000-level
mathematics course.

**5070 HISTORY OF MATHEMATICS FOR MIDDLE SCHOOL TEACHERS (3) **Prerequisite: MATH 1400 and MATH 4050 or equivalent.

**5080 PROBABILITY AND STATISTICS FOR TEACHERS (3) **Prerequisite: Bachelor's degree and consent of the department.

**5090 CALCULUS FOR TEACHERS I (3) **Prerequisite: Bachelor's degree and consent of the department.

**5095 CALCULUS FOR TEACHERS II (3) **Prerequisite: MATH 5090 or consent of the department.

**5120 CONCEPTS OF GEOMETRY I (3) **Prerequisite: MATH 4110.

**5130 PROJECTIVE GEOMETRY (3) **Prerequisite: MATH 4110.

**5140 DIFFERENTIAL GEOMETRY (3) **Prerequisite: MATH 4410.

**5180 POINT SET TOPOLOGY (3) **Prerequisite: Consent of the department.

**5210 NUMBER THEORY (3) **Prerequisite: MATH 4210 or equivalent.

**5220 MODERN ALGEBRA I (3) **Prerequisite: MATH 4250.

**5230 MODERN ALGEBRA II (3) **Prerequisite: MATH 5220.

**5250 COMMUTATIVE ALGEBRA (3) **Prerequisite: Math 5220 and 5230.

**5310 MODERN APPLIED ALGEBRA (3) **Prerequisite: MATH 4250.

**5320 INTRODUCTION TO COMPUTATIONAL AGEBRAIC GEOMETRY (3) **Prerequisite: Math 5220.

**5410 THEORY AND APPLICATION OF INFINITE SERIES (3) **Prerequisite: MATH 4410.

**5420 ANALYSIS I (3) **Prerequisite: MATH 4410.

**5430 ANALYSIS II (3) **Prerequisite: MATH 5420.

**5440 COMPLEX VARIABLES I (3) **Prerequisite: MATH 4450 or 4410.

**5445 COMPLEX ANALYSIS II (3) **Prerequisite: Math 5440.

**5470 FUNCTIONAL ANALYSIS (3) **Prerequisite: MATH 5420.

**5510 ADVANCED ORDINARY DIFFERENTIAL EQUATIONS (3) **Prerequisite: MATH 2550 and 4410.

**5520 PARTIAL DIFFERENTIAL EQUATIONS (3) **Prerequisite: MATH 2550 and 4410.

**5550 ADVANCED NUMERICAL METHODS (3) **Prerequisite: MATH 5550, MATH 4410.

**5560 INTERPOLATION AND APPROXIMATION (3) **Prerequisite: MATH 5550.

**5610 MATHEMATICAL STATISTICS I (3) **Prerequisite: MATH 4600 or equivalent.

**5620 MATHEMATICAL STATISTICS II (3) **Prerequisite: MATH 5610.

**5710 MATHEMATICS CURRICULUM IN GRADES 7-12 (3) **Prerequisite: Consent of the Graduate Program Advisor.

**5780 RESEARCH AND PRACTICES IN MATHEMATICS EDUCATION (3) **Prerequisite: Consent of the Graduate Program Advisor.

**5810 MATHEMATICAL MODELS AND APPLICATIONS (3) **Prerequisite: High school mathematics teaching experience and consent of the department.

**5920 GRADUATE SEMINAR (3) **Prerequisite: Twenty-one graduate level credit hours in mathematics and consent of
the department.

**5950 MASTER'S PROJECT (3) **Prerequisite: Approval of the Graduate Program Advisor.

**5980 MASTER'S THESIS (3) **Prerequisite: Approval of the Graduate Program Advisor.