**MATH 090: Introduction to Algebra (3)**

*Offered every semester*Hours do not count toward a degree. This course is a support course designed to help students acquire the skill necessary for success in Intermediate Algebra. Topics include a review of real numbers; linear equations and inequalities; linear functions and graphing; systems of linear equations, exponents, polynomials, and factoring. The TI-83 plus or TI-84 plus graphing calculator is required.

**MATH 099: Intermediate Algebra (3)**

*Prerequisite: Departmental placement or MATH 090 or its equivalent as determined by the department Offered every semester*

Hours do not count toward a degree. Topics include a review of polynomials and factoring; rational expressions; functions and graphs; inequalities and absolute value; rational exponents and radicals; quadratic, exponential, and logarithmic functions. The TI-83 plus or TI-84 plus graphing calculator is required.

**MATH 105: Liberal Arts Mathematics (3)**

*Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the departmentOffered every semesterNOTE: No credit hours can be earned for this course if the student is concurrently enrolled or has previous credit for any mathematics course numbered above 105*This course is designed to increase an awareness of and an appreciation for mathematics as a mode of non-literary communication. The student will be introduced to topics selected from, but not limited to: algebra, geometry, calculators and computers, probability and statistics, the mathematics of social choice, management science, growth and symmetry, and the mathematics of finance. The TI-83 plus or TI-84 plus graphing calculator is required.

**MATH 112: College Algebra (3)**

*Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the departmentOffered every semester*

This course uses a modeling approach. Problems that can be solved using linear, polynomial, rational, exponential and logarithmic functions are explored. An introduction to probability theory is included. The graphing calculator is an integral part of this course. The TI-83 plus or TI-84 plus graphing calculator is required. Note: Students with prior credit for MATH 131 and MATH 132 should take MATH 231 rather than MATH 112.

**MATH 113: Trigonometry (3)**

*Prerequisite: MATH 112 or its equivalent as determined by the departmentOffered every semester*

Topics include trigonometric functions and their inverses, identities, trigonometric equations, formulas and solving triangles. The TI-83 plus or TI-84 plus graphing calculator is required.

**MATH 121: Mathematics Content for Elementary Teachers I [Math for Teachers I] (3)**

*Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the department AND a declared major in Elementary Education or Early Childhood EducationOffered every semester*

Topics include functions, patterns and problem solving, numeration, operations on natural numbers, whole numbers and integers, rational numbers, number theory, and fraction models and operations. The TI-83 plus or TI-84 plus graphing calculator is required. Use of a computer is expected for word processing and access to the Internet.

**MATH 122: Mathematics Content for Elementary Teachers II [Math for Teachers II] (3)**

*Prerequisite: MATH 121 with a grade of C or betterOffered every semester*

Topics include rational and irrational numbers, real numbers, measurement and geometry, and probability. The TI-83 plus or TI-84 plus graphing calculator is required. Use of a computer is expected for word processing and access to the Internet.

**MATH 131: Finite Mathematics (3)**

*Prerequisite: Departmental placement or MATH 099 or its equivalent as determined by the departmentOffered every semester*

Registration is prohibited for students with Math 200 credit. Topics include review of linear equations and inequalities, introduction to linear programming, set theory, counting techniques, permutations and combinations, probability and applications. The TI-83 plus or TI-84 plus graphing calculator is required.

**MATH 132: Business Statistics (3)**

*Prerequisite: MATH 131 or MATH 200 or its equivalent as determined by the departmentOffered every semester*

Credit for this course will not be given to a student who has previously completed MATH 305. Topics include collecting, organizing, analyzing and interpreting data with an emphasis on business applications, descriptive statistics, sampling, probability distributions, estimation, hypothesis testing, introduction to linear regression and correlation analysis. The use of Minitab statistical software is included. The TI-83 plus or TI-84 plus graphing calculator is required.

**MATH 150: Selected Topics in Elementary Mathematics (Credit Varies)**

*Prerequisite: See the department chairperson*

**MATH 200: Introduction to Discrete Mathematics (4)**

*Prerequisite: Three years of high school mathematics and recommendation by the department or MATH 112 Offered every semester*

Registration prohibited for students with Math 131 credit. Topics include number systems, set theory, logic, methods of proof, combinatorics, discrete probability, relations and functions, matrices, Boolean algebra and recursion. The TI-89 graphing calculator is required.

**MATH 201: Calculus with Analytic Geometry I (4)**

*Prerequisite: Including trigonometry, three years of high school mathematics and recommendation by the department or MATH 112 and MATH 113Offered every fall*Topics include review of algebraic and trigonometric functions and their graphs, absolute value and inequalities; the concepts of limit and continuity; theory and techniques of differentiating and integrating algebraic and trigonometric functions; and applications of differentiation. Maple software is used throughout the course. The TI-89 graphing calculator is required.

**MATH 202: Calculus with Analytic Geometry II (4)**

*Prerequisite: MATH 201 or its equivalent *

*Offered every spring*

Topics include derivatives and integrals of transcendental functions; indeterminate forms, improper integrals, techniques and applications of integration; numerical integration, conic sections, parametric equations, and polar coordinates. Maple software is used throughout the course. The TI-89 graphing calculator is required.

**MATH 203: Calculus with Analytic Geometry III (4)**

*Prerequisite: MATH 202 Offered every fall* Topics include vectors and vector calculus, analytic geometry in three-space; differentiation of functions of several variables, multiple integration and applications. Maple software is used throughout the course. The TI-89 graphing calculator is required.

**MATH 211: Linear Algebra (4)**

*Prerequisite: MATH 200 and MATH 202 or concurrent enrollment in MATH 202Offered every spring* Elementary concepts of linear algebra; systems of linear equations, vectors and matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, and applications. Maple software is used throughout the course. The TI-89 graphing calculator is required.

**MATH 221: Number Theory for Teachers (3)**

*Prerequisite: MATH 121 and MATH 122 or consent of the instructorOffered spring 2013* Provides historical overview of number theory. Topics investigated will include: modular systems, basic concepts of factorization and divisibility, algebraic structure of modular systems and remainder tests. Fibonacci numbers and proof by induction is also explored. The place of number theory in the mathematics curriculum in accordance with the NCTM Principles and Standards for School Mathematics is also addressed. Use of a scientific calculator is required.

**MATH 222: Statistics for Teachers (3)**

*Prerequisite: MATH 121 and MATH 122 or consent of instructorOffered every semester* Provides a conceptual approach to statistics and its everyday use. Topics include probabilities, randomness, making and interpreting various types of graphs and tables, organization of data, displaying data, and analyzing and drawing implications from the data. The place in the mathematics curriculum in accordance with the NCTM Principles and Standards for School Mathematics is also addressed. Computers and calculators are integrated into the coursework. The TI-83 plus or TI-84 plus graphing calculator is required.

**MATH 223: History of Mathematics for Teachers (3)**

*Prerequisite: MATH 121 and MATH 122 or consent of instructorOffered fall 2012* Credit for this course will not be given to a student who has previously completed MATH 308. Provides historical perspective of the development of mathematics with emphasis on the multicultural dimension in the Egyptian, Babylonian and Greek periods. Students will do some of the elementary mathematics developed in ancient times, and learn to appreciate mathematics as a product of human effort.

**MATH 224: Geometry for Teachers (3)**

*Prerequisite: MATH 121 and MATH 122 or consent of instructorOffered fall 2013* Topics include: exploration of geometric ideas through activities involving concrete materials and computers, an awareness of geometry in the environment, and appreciation of geometry in history and culture, types of geometry, and experience in performing conjectures and testing hypotheses. Provides students with the ability to develop, teach, and implement a program in geometry in the middle school/junior high school curriculum in accordance with the NCTM Principles and Standards for School Mathematics.

**MATH 231: Calculus for Business and the Social Sciences (3)**

*Prerequisite: Departmental placement or MATH 112 or MATH 131Offered spring 2013*Recommended for business and social science majors seeking the B.S. degree. Topics include functions; derivatives of algebraic, exponential and logarithmic functions; optimization; techniques of integration; various applications from business and the social sciences. The TI-83 plus or TI-84 plus graphing calculator is required.

**MATH 250: Selected Topics in Mathematics Education (Credit Varies)**

*Prerequisite: See the department chairperson*

**MATH 301: Advanced Calculus (4)**

*Prerequisite: MATH 202Offered every spring*

Topics include convergence, sequences, indeterminate forms, improper integrals, infinite series, Taylor and Fourier Series, applications; functions defined by integrals, the gamma and beta functions. Maple software is used throughout the course. The TI-89 graphing calculator is required.

**MATH 303: Differential Equations (3)**

*Prerequisite: MATH 301 or concurrent enrollment in MATH 301 or consent of the instructorOffered every spring* Differential equations of first order, second order, and higher order linear differential equations, non-homogeneous equations; power series solutions to linear differential equations, numerical methods for solving linear and nonlinear differential equations. Maple software is used throughout the course. The TI-89 graphing calculator is required.

**MATH 305: Probability and Statistics I (3)**

*Prerequisite: MATH 301 Offered every fall *Topics include concepts of probability, Bayes' Rule, expectation, discrete distributions, binomial, hypergeometric, Poisson, geometric, multinomial, normal, uniform, and exponential density functions and joint probability densities. The use of Minitab statistical software is included. The TI-89 graphing calculator is required.

**MATH 306: Probability and Statistics II (3)**

*Prerequisite: MATH 305 Offered every spring* A continuation of MATH 305 concerned with data description, sampling distributions, curve fitting, inferences dealing with means, variances and proportions. The emphasis will be on applications. Time permitting, applications will be extended to areas such as reliability, life testing and quality assurance. The use of Minitab statistical software is included. The TI-89 graphing calculator is required.

**MATH 307: Modern Geometry (3)**

*Prerequisite: One year of high school geometry and completion of MATH 202 and ENGL 102*

*Offered every spring*Foundations of geometry as a mathematical system, elementary logic, advanced constructions, historical background and basic concepts of finite and infinite Euclidean and non-Euclidean geometries; cross ratio, affine and projective planes; the theorems of Ceva, Menelaus, Desargues, Pascal and Pappus.

**MATH 308: History of Mathematics (3)**

*Prerequisite: MATH 202 Offered every fall* Credit for this course will not be given to a student who has previously completed MATH 223. Provides historical perspective of the development of mathematics with emphasis on the multicultural dimension from ancient to modern times. Students will do problems in the methods of the ancients and compare to modern solutions, and learn to appreciate mathematics as a product of human effort. Historical development of calculus and other modern mathematical areas will be studied.

**MATH 309: Abstract Algebra I (3)**

*Prerequisite: MATH 211 Offered every fall*

Topics include: integers, groups, subgroups, cosets, homomorphisms, permutation groups, rings, subrings, integral domains and fields.

**MATH 315: Numerical Analysis (3) **

*Prerequisite: MATH 301*

Offered spring 2014

Offered spring 2014

*Topics include iterative solutions to non-linear equations, Newton-Raphson and secant methods, numerical solutions of ODEs, numerical integration methods, interpolation, and curve fitting. Maple software is used throughout the course. The TI-89 graphing calculator is required.*

**MATH 321: Discrete Methods (3)**

*Prerequisite: MATH 200 Offered as needed*

Topics may include some of the following: Euler and Hamilton circuits, graph coloring, matching theory, applied combinatorics, mathematical induction, equivalence relations and congruence classes, recurrence relations, generating functions, applications. Student presentations and lab projects (both group and individual) are an integral part of this course. The TI-89 or TI-83 plus graphing calculator is required.

**MATH 331: Theory of Interest (3)**

*Prerequisite: MATH 202 Offered as needed*

Topics include compound interest, annuities, bonds, measurement of mortality, life annuities, life insurance, premiums and reserves. A financial calculator is required for this course.

**MATH 350: Selected Advanced Topics in Mathematics Education (credit varies)**

*Prerequisite: See the department chairperson*

**MATH 351: Methods in Middle School/Junior High School Mathematics (3)**

*Prerequisite: MATH 122 or consent of the instructor*

Offered every spring

Integrated content and methods appropriate for the middle school mathematics program. Topics are selected from the real number system and its operations, probability, statistics, measurement, geometry and algebra. Research implications in these areas are considered for the middle grades. Calculators and computers are integrated throughout the course. Ten (10) clinical hours.

**MATH 360: Selected Topics in Advanced Mathematics (credit varies)**

*Prerequisite: See the department chairpersonOffered at least once each academic year* Possibilities include: real analysis; complex analysis; number theory; topology; transform methods; partial differential equations; integral equations, Abstract Algebra II; Differential Geometry.

**MATH 375: Methods of Teaching Mathematics, Grades 6-12 (3)**

*Prerequisite: At least 30 credit hours in the mathematics major*

Offered every fall

Exposes both pre-service and in-service teachers to principles, current issues, materials and methods of teaching mathematics at the middle and secondary school level. Strong mathematical background expected. Classroom and field experiences are required. The NCTM Principles and Standards for School Mathematics are also addressed. Thirty (30) clinical hours.

**MATH 390: Internship (credit varies, 1-12 credit hours)**

*Prerequisite: See the department chairperson*

**MATH 399: Senior Seminar (1)**

*Prerequisite: Senior standing and consent of department faculty. At least 30 credit hours in the major, including Advanced Calculus (Math 301), must be completed with grades of C or better prior to enrolling in senior seminar. At least 6 of these credit hours must have been taken at SXU Offered every semester*

The purpose of the senior seminar is to provide a culminating experience in mathematics for mathematics and mathematics education majors. The student will conduct research on an advanced topic with guidance from a faculty mentor, prepare a paper, prepare a poster and give a presentation based on the research to faculty and students of the department. The student is expected to attend all presentations given during the semester.