Elementary geometry, signed numbers, percents, ratios, linear equations, exponents, operations on polynomials, and applications. Credit does not count toward graduation; graphing calculator is required.
Undergraduate Catalog
Degree requirements listed here reflect the current catalog standards. Your degree
requirements are determined by the academic year you began the program.
Department 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.
Elementary geometry, signed numbers, percents, ratios, linear equations, exponents, operations on polynomials, and applications. Credit does not count toward graduation; graphing calculator is required.
Review of mathematics concepts, skills, and problem solving to prepare for the basic skills mathematics portion of the state teacher certification examination. May be repeated. Credit may not be used toward graduation.
Review of mathematics concepts and problem solving to prepare for state teacher certification examination. May be repeated. Credit does not count toward graduation.
Level 1: Elementary geometry, signed numbers; applications of percents, ratios, and linear equations; equations of lines, exponents, operations on polynomials. Level 2: More in-depth study of Level 1 topics; systems of equations, graphing, rational expressions, quadratics, and radicals. Credit does not count toward graduation. Graphing calculator is required. Additional Course Fee.
Prerequisite: MATH 0990 or by Mathematics Placement Examination; READ 1500; ENG 1280
(or concurrent enrollment).
Patterns and problem solving, numeration systems, functions, algorithms for whole
numbers, integer, decimal, and rational number operations (addition, subtraction,
multiplication, division), divisibility tests, GCD, LCM, ratio and proportion, percents,
statistical graphs, measures of central tendency and variation. IAI: M1 903.
Points, lines, planes, curves, angles, three-dimensional figures, congruence, similarity, construction, English system, metric system, perimeter, area, volume, Pythagorean theorem, and probability. IAI: M1 903.
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
Equations and inequalities, rectangular coordinates, lines, functions and their graphs, polynomials and rational functions, exponential and logarithmic functions, and systems of equations. Graphing calculator required.
Exponential and logarithmic functions, systems of equations, trigonometric functions, solution of triangles, mathematical induction, sequences, polar coordinates, and conics. Graphing calculator required.
Sets; real numbers, theory and application of functions and inverse functions, trigonometric functions, complex numbers, exponentials and logarithms, matrices and determinants, and vectors. Graphing calculator required.
Functions and limits, the derivative and its applications, the integral and its applications. Graphing calculator required. IAI: M1 900.
Limits and continuity; derivatives of algebraic and trigonometric functions; chain rule applications, such as extreme problems, related rates, and graphing; anti-derivatives; definite integral applications, such as area, volume, work, and force. Graphing calculator required. IAI: M1 900, EGR 901, MTH 901.
Sequences, difference equations, discrete time models, limits, continuity, differentiation and anti-differentiation of algebraic, trigonometric, and transcendental functions, chain rule, applied problems on maxima and minima, equilibria and stability, basic differential equations, and the fundamental theorem of calculus. CAS, modeling, and imaging programs. Strong emphasis on biological models using real biological data. Course fee.
Calculus of the exponential, logarithmic, and trigonometric functions; techniques of integration; L'Hospital's rule; improper integrals; infinite series; and polar coordinates. Graphing calculator required. IAI: M1 900, EGR 902, MTH 902.
Probability; model building; linear programming; matrices. Emphasis on applications in business and social science. Graphing calculator required. IAI: M1 906.
Sample spaces; set functions; probability; random variables; probability distributions; mean, median, and standard deviations; sampling; hypothesis testing; tests concerning means. Graphing calculator required. IAI: M1 902.
Mathematical reasoning and solving real-world problems. In depth study of three or four of the following topics: geometry, counting techniques and probability, graph theory, logic/set theory, mathematical modeling, game theory, and linear programming. Graphing calculator required. IAI: M1 904.
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. IAI: M1 901.
A survey of career opportunities for mathematics professionals in industry, government, and education. Overview of the skills, training, strategies, and education required for the various occupations and mathematics curricula. Introduction to the resources available to aid the mathematics major. May not be used to fulfill general education requirements.
Matrices and vectors; transformations and matrices; matrix and vector products; determinants; applications. Graphing calculator required.
Techniques of proof through the study of concepts used in higher mathematics courses. Set theory, logic, epsilon-delta proofs, proof by contradiction, equivalence relations, functions, cardinality, and mathematical induction.
Parametric equations, vectors and vector functions, calculus of functions of several variables, gradients, multiple integrals, line integrals, Green's theorem. Graphing calculator required. IAI: M1 900, EGR 903, MATH 903.
First order differential equations with applications; numerical methods, linear differential equations with applications, power series, and Laplace transforms. IAI: EGR 904 MTH 912.
Relations, functions, permutations, combinations, sets, logic, Boolean algebra, and graph theory. Credit is given for only one of the following: MATH 300, MATH 303, or MATH 2800. IAI: M1 905, CS 915.
Introduction to mathematical software in biological modeling, difference equations in Microsoft Excel, matrix methods, eigen values, linearization and stability, equilibria. Further topics may include phylogenetics, population dynamics, and ecology. Data will be collected in the field. Term paper required. Credit is not given for both MATH 2810 and BIOL 2810.
A formal study of the propositional calculus and the predicate calculus, including formal semantics and axiomatizations. Completeness theorems for both systems will be proven.
Coordinate systems, vector analysis, boundary value problems, matrices and tensors, complex variables. Credit will not be given to both PHYS 3450 and MATH 3510 or MATH 4800.
Special functions, Fourier analysis, Green's functions, calculus of variations, nonlinear methods and chaos, and probability. Study of applications of mathematics to physics. Credit not given for both PHYS 4460 and MATH 3520.
Specifically designed for preparation for Actuarial Examination 100. Emphasis on problem solving. Practice examinations.
Measure of interest, accumulated and present value factors, annuities certain, yield rates, amortization schedules and sinking funds, bonds and related securities. Spreadsheets used.
Linear equations, problem formulation, simplex method, duality theory, post-optimal analysis, transportation problem, and game theory.
Methods of teaching high school grades 9-12 and middle school grades 6-8. Thirty hours of tutoring middle grade and high school grade students. May not be used toward mathematics requirements for a major or minor in mathematics.
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.
Appropriate technological tools, including spreadsheets, geometry software, computer algebra systems, statistical packages, graphing calculators, data-collection devices, and presentation software. Additional course fee.
Advanced perspective in mathematics for pre-service and in-service high school teachers; topics include geometry, functions, numbering systems, and proofs. Course work require writing in the AMS format a significant project and its presentation. Satisfies the University undergraduate thesis requirement.
Prime numbers. Euclidean algorithm. Greatest common divisors and least common multiples. Modular arithmetic. Diophantine equations. Integration of the content in elementary and middle school. May not be used for graduation credit in Mathematics Option or Mathematics Secondary Education Options.
Incidence relation, angles, congruence, measurement, compass-and-straightedge constructions, circles, similarity, right-triangle trigonometry, area, volume, coordinate geometry in two and three dimensions, polygons, arcs, and arc length. Integration of content in the elementary and middle school. May not be used for graduation credit in Mathematics Option or Mathematics Secondary Education Option.
An introduction to modern algebra. Topics chosen from groups, rings, fields, and their applications. May not be used for graduation credit in Mathematics Option or Mathematics Secondary Education Option.
The historical basis of numeration, operations, geometry, algebra, trigonometry, and calculus. The cultural aspect of mathematics and its contributions to knowledge and learning. Integration of content in the elementary and middle school. May not be used for graduation credit in Mathematics Option or Mathematics Secondary Education Option.
Incidence geometry, distances, measure, congruences, inequalities, parallel postulate, perpendicular lines and places, similar triangles, polygons, circles and spheres, and construction with ruler and compass. (A writing emphasis course.)
Properties of integers, divisibility, greatest common divisors, primes, congruences, Diophantine equations, arithmetic functions, and quadratic residues.
Vector spaces, bases, dimensionality, linear transformations, determinants, matrices, matrix inversion, rank, and equivalence.
Basic properties of groups, order, cyclic groups and their structure theorems. Normal subgroups, cosets and Lagrange's theorem, group homomorphisms, factor groups, direct products, and the isomorphism theorems; permutation groups. Basic properties of rings, integral domains, fields, ideals, and ring homomorphisms; polynomial and power series rings.
Group action, conjugacy classes, class equation, Cauchy's theorem and p-groups, and applications of Sylow theorems. Principal ideal domains, Euclidean domains, and unique factorization domains. Maximal and prime ideals, rings of matrices, and polynomial rings of several variables. At instructor's discretion more topics from finite fields and/or coding theory and topics for undergraduate research in algebra.
Real numbers, real functions, limits, continuity, uniform continuity, differentiability, mean value theorems, and theory of the Riemann integral.
Complex numbers and complex space, differentiation and integration of elementary functions, infinite series, Taylor and Laurent expansions, and Cauchy's theorems and applications.
Solution of linear systems by direct and iterative methods, matrix inversion, evaluation of determinants, characteristic values and vectors of matrices, application of boundary value problems in ordinary differential equations, and numerical solution of partial differential equations.
Continuation of mathematics 4510.
Descriptive statistics, discrete and continuous random variables, expectation, distribution functions, central limit theorem, point estimation, confidence intervals, and hypothesis testing. SAS laboratory. Additional course fee.
Moment generating functions, transformations of random variables, Bayes Theorem, sufficiency, likelihood estimators, Chi-square tests, and regressions and contingency tables. SAS used.
Chronological survey of the growth and contributions of mathematics to knowledge and learning.
Linear programming, game theory, dynamic programming, graph theory and Markov chains. Emphasis on applications in business, industry, and behavioral sciences.
Topics of current mathematical interest. May be repeated for credit if different topics are presented.
Prerequisite: MATH 2430 and nine credit hours of mathematics courses numbered 4230
or above.
Investigation of mathematical models in fields such as natural sciences, social sciences,
business, and engineering. Scientific calculators, graphing calculators, and current
computer software will be used. Specific topics will vary.
Course work require writing in the AWS format a significant project and its presentation. Satisfies the University undergraduate thesis requirement.
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