Mathematics Undergraduate Catalogue

**Department Chairperson:** Kapila Rohan Attele

** Mathematics Undergraduate Program Advisor: **Victor Akatsa

**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 Bachelor of Science degree in Mathematics with two options: (a) Mathematics and (b) Secondary Teaching. Within the Mathematics Option, a student may take an actuarial science concentration. The built-in flexibility of the Mathematics Option will prepare students for careers in banks, insurance, industry, and government or to pursue advanced degrees in mathematics.

Completion of the Secondary Teaching Option in Mathematics qualifies students for an Illinois Professional Educator License (PEL) with an endorsement for teaching mathematics for grades 9–12 and a middle grade endorsement in mathematics for grades 6–8, provided the program is completed and the middle grade endorsement issued by January 31, 2018, when new middle grade endorsement rules will come into effect.

Licensure requires the successful completion of the Illinois Licensure Tests of Academic Proficiency (TAP) or equivalent, Mathematics content area, and Assessment of Professional Teaching (Secondary 6–12). The secondary teaching program meets Illinois State Board of Education (ISBE) standards in mathematics education.

The department offers a minor sequence in mathematics. It will provide students majoring in other disciplines access to more potent professional tools and help them to gain a deeper understanding of their own fields.

All entering freshmen and transfer students who intend to major in a mathematics program are required to take the university placement examination in mathematics. These students may not register for any mathematics or computer science course until they have taken the examinations. These examinations are designed to place students into the appropriate mathematics course from Applied Intermediate Algebra to Calculus. Students may not use MATH 0880, 0900, 0950, 0980, 0990, 160 or 161 toward satisfying general education mathematics or university graduation requirements. Credit will not be given for any mathematics course that is a prerequisite for a course in which a grade of C or better has already been earned.

Mathematics Option (with concentrations in Mathematics and Actuarial Science)

**General Requirements**

Admission to the program is contingent upon completion of MATH 1210 or MATH 1250 with a grade of C or higher, cumulative grade point average of 2.0 or higher, and acceptance by the department. The department will not accept D grades in any required major courses or required supportive courses, either as transfer credit or completed at Chicago State University. Requirements include completion of 120 credit hours of work: general education requirements as listed in this catalog for the College of Arts and Sciences; 44 hours in mathematics; 15 hours 178 of supportive courses; 22 hours in electives selected with the departmental advisor’s approval; and passing the examination on the federal constitution. By demonstrating proficiency, a student may be able to obtain credit for certain mathematics and computer science courses at the recommendation of the department.

**Specific Requirements (Mathematics Concentration)**

9 credit hours in physical and life sciences selected from biology, chemistry, physics, and physical science, including at least one laboratory course.

**REQUIRED COURSES (44 CREDIT HOURS)**

MATH 1900, 2200, 2300, 1410 or 1415, 1420, 2430, 2550, 4110, and 4940*; one of the following: MATH 4210, 4230, or 4250; one of the following : MATH 4410 or 4450; one of the following in applied mathematics: MATH 3510, 3520, 3820, 4510, 4520, 4600, or 4650; two additional courses selected from the above or MATH 2800, 3210, 3800, 4710, 4900.

* MATH 4940 fulfills the senior thesis/capstone requirement.

**REQUIRED SUPPORTIVE COURSES (15 CREDIT HOURS)**

CPTR 1100; Physical and life sciences elective that must be selected from biology, chemistry, physics, and physical science (three additional credit hours); nine additional credit hours selected from accounting, biology, botany, chemistry (1550 or above), computer science (above 1100), economics, mathematics (2810 only), physics or zoology. At least two courses must be from the same discipline.

**ELECTIVE COURSES (22 CREDIT HOURS)**

22 credit hours of electives selected with the department advisor’s approval.

**Specific Requirements (Actuarial Science Concentration)**

**REQUIRED COURSES (44 CREDIT HOURS)**

MATH 1900, 1410 or 1415, 1420, 2200, 2300, 2430, 2550, 3630, 3800, 4110, 4600, 4650, and 4940; one of the following: MATH 2800, 3510, 3520, 3820, 4230, 4240 or 4900.

**REQUIRED SUPPORTIVE COURSES (15 CREDIT HOURS)**

Physical and life sciences selected from biology, chemistry, physics, and physical science: three additional credit hours; complete one of the following two sets of courses: CPTR 1100, ACCT 2110 and 2111, and FIN 2660; or CPTR 1100, ACCT 2110, FIN 2660 and 3680. ECON 1010 and 1020 are strongly recommended to fulfill the general education social science requirement.

**ELECTIVE COURSES (22 CREDIT HOURS)**

22 credit hours of electives selected with the department advisor's approval.

Secondary Teaching Option in Mathematics

To be considered for recommendation for admission to the College of Education, students must have:

- completed with a grade of C or higher MATH 1420 and two 4000-level mathematics courses;
- completed with a grade of C or higher or be concurrently enrolled in MATH 2430 and MATH 4110;
- passed the Illinois State Test of Academic Proficiency (TAP) or the equivalent; and
- a GPA of 2.5 or higher in 1000-level and above mathematics courses.

**General Requirements**

Students must:

- complete 120 credit hours: 39 credit hours in general education, 50 credit hours in area of specialization, 27 credit hours in professional education, and 4 credit hours in elective courses.

**Specific General Education Requirements**

**GENERAL EDUCATION (39 CREDIT HOURS)**

3 hours in humanities, 3 hours in fine arts, 3 hours in oral communication, the major satisfies the 3 hours in mathematics; 3 hours in biological sciences and 3 hours in physical sciences with one having a laboratory component, 6 hours in a single foreign language, and 6 hours in composition. Students in this option are required to take 2 embedded requirements (no additional credits) to strengthen their general education background, which include 3 hours of critical thinking and 3 hours of diversity; each from a list of approved university courses. In addition, the nine hours in social sciences must be chosen from the following: I HIST 1300 or 1310 or POL 1010; PSYC 1100 and 2040.

**AREA OF SPECIALIZATION (50 CREDIT HOURS)**

**REQUIRED MATHEMATICS COURSES (47 CREDIT HOURS)**

MATH 1900, 1410 or 1415, 1420, 2200, 2300, 2430, 4010, 4020*, 4250, 4110, 4450 or 4410, 4600, and 4710; at least six additional hours selected from MATH 2550, 2800, 3210, 3510, 3520, 3820, 4210, 4230, 4410, 4450, 4510, 4650, 4800, 4840, 4900 or 4940.

*MATH 4020 fulfills the senior thesis/capstone requirement

**REQUIRED SUPPORTIVE COURSES: (3 CREDIT HOURS)**

MATH 1092 or pass state teacher certification subject matter test in mathematics; MATH 2810 or three additional hours in the physical and life sciences (biology, chemistry, physics, and physical science).

**PROFESSIONAL EDUCATION (27 CREDIT HOURS)**

ED 1520 and 2000; PSYC 2020; S ED 4301 and 4303*; ED 4500*; READ 4100*; CAS 2630*, MATH 4000* and 4005*. Course must be passed with at least a grade of C. * Restricted to students admitted to the College of Education.

Minor in Mathematics (24-26 credit hours)

The requirements for minors must be completed prior to graduation in order for the minor to appear on the transcript. For more information about minors, see the department advisor.

**Required Courses (15 credit hours)**

MATH 1410 or 1415, 1420, 2430, 2200

**Elective Courses (9-11 credit hours.)**

Three additional mathematics courses from MATH 2550, 2800, or those numbered 4230 or above

Mathematics (MATH) Course offerings

Students enrolling in mathematics classes must receive at least a grade of C in all prerequisite mathematics and computer science courses.

**0880 TUTORIAL ALGEBRA (1)**

Prerequisite: Mathematics Placement Examination.** **Elementary geometry, signed numbers, percents, ratios, linear equations, exponents,
operations on polynomials, and applications. Credit does not count toward graduation;
graphing calculator is required.

**0910 ILLINOIS TEACHER CERTIFICATION REVIEW OF BASIC SKILLS IN MATHEMATICS (1) **Prerequisite: Completion of mathematics requirements in the student's major or consent
of the department.

**0920 ILLINOIS MATHEMATICS TEACHER CERTIFICATION REVIEW (1) **Prerequisite: MATH 2430/263 or consent of the department.

**0990 APPLIED INTERMEDIATE ALGEBRA (4, 8) **Prerequisite: Mathematics Placement Examination.

**1010 CONCEPTS OF MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS I /4 (3) **Prerequisite: MATH 0990 or by Mathematics Placement Examination; READ 1500; ENG 1280
(or concurrent enrollment).

**1020 CONCEPTS OF MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS II /4 (3) **Prerequisite: MATH 1010.

**1080 QUANTITATIVE LITERACY (3) **Prerequisite: MATH 0990/090 or by placement examination; READ 1500/150.

Develops conceptual understanding for problem solving and decision making; uses analytic skills including statistical measures, graphs of functions, estimation, and selection and use of appropriate approaches for formulating and solving real world problems. Graphing calculator required. May be taken before or after MATH 1700/121. IAI: M1 901

**1200 COLLEGE ALGEBRA /4 (3) **Prerequisite: MATH 0990 or by Mathematics Placement Examination.

**1210 COLLEGE ALGEBRA AND TRIGONOMETRY /4 (3) **Prerequisite: MATH 1200, by Mathematics Placement Examination, or HON 1300 and HON
1310.

**1250 PRECALCULUS MATHEMATICS /6 (5) **Prerequisite: MATH 0990 or consent of the department.

**1400 BASIC CALCULUS (3) **Prerequisite: MATH 1200, MATH 1250, or by Mathematics Placement Examination or HON
1300 and HON 1310.

**1410 CALCULUS I (4) **Prerequisite: MATH 1210, MATH 1250, or by Mathematics Placement Examination.

**1415 CALCULUS FOR LIFE SCIENCES I (4) **Prerequisite: MATH 1210, MATH 1250, or by Mathematics Placement Examination.

**1420 CALCULUS II (4) **Prerequisite: MATH 1410, MATH 1415, or by Mathematics Placement Examination; for math
majors only: MATH 1900 (or concurrent enrollment).

**1500 INTRODUCTION TO FINITE MATHEMATICS (3) **Prerequisite: MATH 1200, MATH 1250, by Mathematics Placement Examination, or HON 1300
and HON 1310.

**1600 BASIC PROBABILITY AND STATISTICS (3) **Prerequisite: MATH 1200, MATH 1250, by Mathematics Placement Examination, or HON 1300
and HON 1310.

**1700 INTRODUCTION TO MATHEMATICAL THOUGHT (3) **Prerequisite: MATH 0990 or by Mathematics Placement Examination.

**1800 QUANTITATIVE LITERACY (3) **Prerequisite: MATH 0990 or by Mathematics Placement Examination; READ 1500.

**1900 INTRODUCTION TO MATHEMATICS PROFESSIONS (1) **Prerequisite: MATH 1210.

**2200 LINEAR ALGEBRA (3) **Prerequisite: MATH 1210, MATH 1250, or by Mathematics Placement Examination .

**2300 INTRODUCTION TO HIGHER MATHEMATICS (3) **Prerequisite: MATH 1420.

**2430 CALCULUS III (4) **Prerequisite: MATH 1420; MATH 2200 (or concurrent enrollment) or PHYS 2110 (or concurrent
enrollment).

**2550 DIFFERENTIAL EQUATIONS (4) **Prerequisite: MATH 2430.

**2800 DISCRETE MATHEMATICS (3) **Prerequisite: CPTR 1100, MATH 1200 or MATH 1250, or HON 1300 and HON 1310.

**2810 INTRODUCTION TO RESEARCH IN BIO-MATHEMATICS /4 (3) **Prerequisite: MATH 2200; BIOL 1070 and 1080.

**3210 MATHEMATICAL LOGIC (3) **Prerequisite: MATH 1410 or 1415 and MATH 2300 or consent of the department.

**3510 MATHEMATICAL METHODS OF PHYSICS I (3) **Prerequisite: PHYS 2330; MATH 2200; MATH 2550.

**3520 MATHEMATICAL METHODS OF PHYSICS II (3) **Prerequisite: PHYS 3450 or MATH 3510.

**3630 REVIEW FOR ACTUARIAL EXAMINATION 100 /3 (2) **Prerequisite: Grade of C or better in MATH 2200, 1410, 1420, 2430, and 2550.

**3800 THEORY OF INTEREST (3) **Prerequisite: MATH 1420.

**3820 LINEAR PROGRAMMING (3) **Prerequisite: MATH 2200 or 1500.

**4000 METHODS OF TEACHING MATHEMATICS IN SECONDARY SCHOOLS (GRADES 6-12) /FIELD (3) **Prerequisite: MATH 2200, 2430, 4100; admission to College of Education; MATH 1092
(or concurrent enrollment), CAS 2630 (or concurrent enrollment), MATH 4010 (or concurrent
enrollment) or CPTR 1100 (or concurrent enrollment), ED 4500 (or concurrent enrollment)
and READ 4100 (or concurrent enrollment); consent of the department.

**4005 STUDENT TEACHING AND SEMINARSECONDARY LEVEL /FIELD (6) **Prerequisite: Admission to the College of Education, completion of all course work
required in the program with a grade of C or higher, a GPA of 2.5 or higher in all
course work, a GPA of 2.5 or higher in the area of specialization, consent of the
department, and a passing score on the subject matter/content area certification test
within the last 5 years.

Off-campus placement in secondary schools in two or more grade levels. University and cooperating school supervision. Five full days including seminar for 16 weeks. No other courses may be taken during the semester of student teaching. May not be used to satisfy mathematics requirements for a major or minor in mathematics.

**4010 TECHNOLOGY IN THE HIGH SCHOOL MATHEMATICS CLASSROOM (3) **Prerequisite: One 3000-level or higher mathematics course.

**4020 MATHEMATICS FOR HIGH SCHOOL TEACHERS (3) **Prerequisite: MATH 2430, MATH 4110, and one additional 3000-level or higher mathematics
course (or concurrent enrollment).

**4040 NUMBER THEORY FOR MIDDLE SCHOOL TEACHERS (3) **Prerequisite: MATH 1020, MATH 1200, or HON 1300 and HON 1310; and a 2000-level mathematics
course.

**4050 GEOMETRY FOR MIDDLE SCHOOL TEACHERS (3) **Prerequisite: MATH 1020, MATH 1200 or equivalent, or HON 1300 and HON 1310; and a
2000-level mathematics course.

**4060 MODERN ALGEBRA FOR MIDDLE SCHOOL TEACHERS (3) **Prerequisite: MATH 1020 or MATH 1200, or HON 1300 and HON 1310 or equivalent; and
a 2000-level mathematics course.

**4070 HISTORY OF MATHEMATICS FOR MIDDLE SCHOOL TEACHERS (3) **Prerequisite: MATH 1400 and MATH 4050 or equivalent.

**4110 GEOMETRY (3) **Prerequisite: MATH 1410 or 1415 and 2300; and one unit of high school plane geometry
(regular or honors) with a grade of C or higher, MATH 4050, or equivalent.

**4210 ELEMENTARY NUMBER THEORY (3) **Prerequisite: MATH 1410 or 1415, 2200, and 2300.

**4230 MATRICES AND LINEAR TRANSFORMATIONS (3) **Prerequisite: MATH 1420 and 2200.

**4250 INTRODUCTION TO MODERN ALGEBRA I (3) **Prerequisite: MATH 1420, 2200 and 2300.

**4260 INTRODUCTION TO MODERN ALGEBRA II (3) **Prerequisite: MATH 4250.

**4410 INTRODUCTION TO REAL VARIABLES (3) **Prerequisite: MATH 2300 and 2430.

**4450 INTRODUCTION TO COMPLEX VARIABLES (3) **Prerequisite: MATH 2300 and 2430.

**4510 NUMERICAL ANALYSIS I (3) **Prerequisite: MATH 2430.

**4520 NUMERICAL ANALYSIS II (3) **Prerequisite: MATH 4510.

**4600 INTRODUCTION TO STATISTICS LECTURE AND LABORATORY /5 (4) **Prerequisite: MATH 1420.

**4650 PROBABILITY AND MATHEMATICAL STATISTICS (3) **Prerequisite: MATH 2430 and 4600.

**4710 HISTORY OF MATHEMATICS (3) **Prerequisite: MATH 1420 and 4110 or equivalent.

**4840 INTRODUCTION TO OPERATIONS RESEARCH (3) **Prerequisite: MATH 2200 or 1500; and MATH 1400, 1410, or 1415.

**4900 SPECIAL TOPICS IN MATHEMATICS (13) **Prerequisite: To be determined by instructor and consent of the department.

**4920 MATHEMATICS INTERNSHIP (36) **Prerequisite: Grade of C or higher in three 3000-level mathematics courses, earned
80 semester hours toward a baccalaureate degree, and a major in mathematics, or consent
of the department. A student project or activity in a mathematics environment outside
the department where the techniques of mathematics are applied in an essential way.
Activity to be performed must be approved in advance by the department. A written
final report is required. Course may be repeated for a total of up to nine semester
hours.

**4940 MATHEMATICS SEMINAR (3) **Prerequisite: MATH 2430 and nine credit hours of mathematics courses numbered 4230
or above.

Course work require writing in the AWS format a significant project and its presentation. Satisfies the University undergraduate thesis requirement.