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

*Offered *every* semester*

*NOTE:*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

*

*NOTE:*Hours do

**NOT**count toward a degree

Topics for this course include a review of: polynomials and factoring, rational expressions, functions and graphs, inequalities and absolute value, rational exponents and radicals, quadratic functions, exponential functions 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 department*Offered

*every*semester

***

*NOTE: Credit hours*

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

**CANNOT**be earned for this course if the student is concurrently enrolled or has previous credit for any mathematics course numbered above 105**required**.

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

**Prerequisite: *Departmental placement or MATH 099 or its equivalent as determined by the department*Offered

*every*semester

*

*NOTE:*Students with prior credit for MATH 131 and MATH 132 should take MATH 231 rather than MATH 112

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**.

**MATH 113: Trigonometry (3)**

**Prerequisite:* MATH 112 or its equivalent as determined by the department*Offered

*every*semester

Topics for this course 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 Education*Offered

*every*semester

Topics for this course 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 better*Offered

*every*semester

Topics for this course include rational and irrational numbers, real numbers, measurement, 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 department*Offered

*every*semester

*

*NOTE:*Credit will not be granted for both MATH 131 and MATH 200

Topics for this course 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 its equivalent as determined by the department*Offered

*every*semester

*

*NOTE:*Credit will not be granted for both MATH 132 and MATH 135

Topics for this course 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 135: Introduction to Statistics (4)**

**Prerequisite: *Departmental placement or MATH 099 or its equivalent as determined by the department*Offered

*every*semester

**NOTE:*Credit will not be granted for both MATH 135 and MATH 132

Topics for this course include collecting, organizing, analyzing and interpreting data with emphasis on a wide range of applications, descriptive statistics, sampling, probability distributions, estimation, hypothesis testing, introduction to linear regression, and correlation analysis. Statistical software is used throughout the course. 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

*Offered as needed

Courses offered on an occasional basis devoted to select elementary mathematics topics.

**MATH 200: Introduction to Discrete Mathematics (3)**

**Prerequisite: *Three years of high school mathematics and recommendation by the department or MATH 112 with a grade of C or better*Offered

*every*semester

*

*NOTE:*Credit will not be granted for both MATH 200 and MATH 131

Topics for this course include number systems, set theory, logic, methods of proof, combinatorics, relations and functions, algorithms, recursion, and the Fibonacci sequence. 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 113

**Corequisite: *MATHL 201

*Offered *every* *fall*Topics for this course 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**.

**MATHL 201: Calculus with Analytic Geometry I Lab (0)**

**Corequisite: *MATH 201

*Offered *every fall*Calculus I Lab meetings include additional problem-solving exercises, group activities, quizzes and technology instruction.

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

**Prerequisite: *MATH 201 or its equivalent

**Corequisite: *MATHL 202* **Offered

*every spring*

Topics for this course 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**.

**MATHL 202: Calculus with Analytic Geometry II Lab (0)**

**Corequisite: *MATH 202

*Offered* every spring*Calculus II Lab meetings include additional problem-solving exercises, group activities, quizzes and technology instruction.

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

**Prerequisite: *MATH 202* **Offered

*every fall*

Topics for this course 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 202*Offered

*every spring*

This course includes 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 instructor

*Offered *every other spring *starting in Spring 2017

Topics investigated include properties, algebraic structure, arithmetic operations, and identities and inverses of operations on various number sets in clock and modular systems; basic concepts and properties of primality, factorization, divisibility, least common multiples and greatest common integers; drawing mathematical inferences; and writing mathematical arguments. Use of a scientific calculator is **required.**

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

**Prerequisite: *MATH 121 and MATH 122 or consent of instructor*Offered

*every*

*fall*

*This course 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 instructor*Offered

*every other fall*starting in Fall 2017

*

*NOTE:*Credit for this course will not be given to a student who has previously completed MATH 308

This course 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 instructor

*Offered *every other fall *starting in Fall 2016 Topics for this course 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 225: Mathematical Modeling for Teachers (1)**

**Prerequisite:* MATH 121 and MATH 122 or consent of instructor

*Offered *spring* *semesters *as needed

Topics for this course include domain, range, horizontal and vertical asymptotes, use of mathematical linear, polynomial, rational, exponential and logarithmic models, including regression models, to solve problems and the interrelationships between such functions (intersection points, inverse functions, etc.).

**MATH 226: Mathematical Modeling and Calculus for Teachers (4)**

**Prerequisite:* MATH 121 and MATH 122 or consent of instructor

*Offered *every other spring *starting in Spring 2016

Topics for this course include domain, range, horizontal and vertical asymptotes, use of mathematical linear, polynomial, rational, exponential and logarithmic models, including regression models, to solve problems and the interrelationships between such functions (intersection points, inverse functions, etc.). Topics also include the concept of continuity as well as concepts, properties, computational processes and applications associated with limits, rates of change, secant and tangent lines, and derivatives and integrals from a polynomial perspective.

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

**Prerequisite: *Departmental placement or MATH 112 or MATH 131

*Offered as neededThis course is 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

*Offered as needed

Courses offered on an occasional basis devoted to select mathematical education topics.

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

**Prerequisite: *MATH 202*Offered

*every spring*

Topics for this course 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 202*Offered

*every spring*

Topics for this course include: 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 for this course 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*

This course is 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 120

*Offered* every spring*Topics for this course include: the 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*

*

*NOTE:*Credit for this course will not be given to a student who has previously completed MATH 223

This course 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 for this course include: integers, groups, subgroups, cosets, homomorphisms, permutation groups, rings, subrings, integral domains and fields.

**MATH 313: Partial Differential Equations (3)**

**Prerequisite: *MATH 303

*Offered as neededTopics for this course include: Partial differential equations of first order and second order, heat equations, wave equations, Laplace equations in one and in higher dimensions, homogeneous and inhomogeneous cases, and applications.

**MATH 314: Integral Equations (3)**

**Prerequisite: *MATH 202

*Offered as neededTopics for this course include: Fredholm integral equations, Volterra integral equations, Integro-differential equations, Singular integral equations, First and second kind integrals.

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

**Prerequisite: *MATH 203

*Offered as needed* *Topics for this course 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 for this course 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 and 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 for this course include: compound interest, annuities, bonds, measurement of mortality, life annuities, life insurance, premiums and reserves. A financial calculator is

**required**for this course.

**MATH 336: Real Analysis (3)**

**Prerequisite: *MATH 301* **Offered

*as needed*

This course is intended to deepen and broaden students' knowledge of the theory of calculus. Topics for this course include: properties of real numbers, sequences and series, continuity, differentiation, integration, metric spaces and topology.

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

**Prerequisite: *See the department chairperson

*Offered as needed

Courses offered on an occasional basis devoted to select advanced mathematical education topics.

**MATH 351: Methods of Teaching Middle Level (Grades 5-8) Mathematics (3)**

*Prerequisite:*Completion of all required mathematics courses or permission of the instructor

*

*Corequisite:*EDU 391

*Offered

*every fall*

Focal points include principles, standards, current issues, implications of research, and resources and instructional methods related to the teaching and learning of middle level (grades 5-8) mathematics.

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

**Prerequisite: *See the department chairperson

*Offered as neededPossibilities for this course include: complex analysis, number theory, topology, abstract algebra II, differential geometry and advanced multivariable calculus.

**MATH 375: Methods of Teaching Secondary (Grades 9-12) Mathematics (3)**

**30 clinical hours**

*Cross-listed:*EDU 375, EDGSE 467

*

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

*

*Corequisite*: MATHL 375

**Offered*

*every spring*

Focal points include: principles, standards, current issues, implications of research, and resources and instructional methods related to the teaching and learning of secondary (grades 9-12) mathematics. Thirty (30) clinical hours are required of undergraduate participants.

**MATHL 375: Secondary Mathematics edTPA Workshop (0)**

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

**Corequisite*: MATH 375*Offered

*every spring*

Description: Students will complete activities for Task 1 Planning for Mathematics Instruction and Assessment, Task 2 Instructing and Engaging Students in Learning, and Task 3 Assessing Student Learning. Topics include: lesson planning for a learning segment, development of assessments, analysis of mathematical language and facilitation of conceptual understanding, procedural fluency, mathematical reasoning and problem-solving skills in the mathematics classroom.

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

**Prerequisite: *See the department chairperson

*Offered as needed

For students who perform internships and/or present an off-campus experience judged by the faculty advisor and department chair to be of significant value in mathematical studies.

**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 majors, Actuarial Science majors, and Mathematics with Secondary 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.