# Mathematics

Tingixu Wang (Head)

Location: Binnion Hall, Room 305, 903-886-5157

Mathematics Web Site: http://www.tamuc.edu/academics/colleges/scienceEngineeringAgriculture/departments/mathematics/

The Department of Mathematics offers the Bachelor of Science and Bachelor of Arts degree with a major in Mathematics. This major prepares graduates for careers in industry, government, business, and employment in scientific and technological fields, computing and information science, actuarial work, and education. A graduate with a major in mathematics should possess the following competencies: calculus, discrete mathematics, and abstract algebra, as well as advanced electives.

The Bachelor of Science or Bachelor of Arts degree with a major in Mathematics with teacher certification also is offered by the department. A student may select a broadfield major or select a field outside mathematics as a minor. This major prepares graduates for careers in teaching at the secondary level. A graduate with a major in mathematics should possess the following competencies: calculus, discrete mathematics, geometry, abstract and linear algebra, history of mathematics, and number theory.

*Students seeking a bachelor’s degree in this major must complete:*

- degree requirements for a Bachelor of Arts or Science degree, and
- Core Curriculum Requirements (refer to those sections of this catalog).

In addition, courses in the major must be completed as shown below.

## Teacher Education Programs

Students seeking a bachelor’s degree in a teacher education program must complete:

- degree requirements for a Bachelor of Arts or Science degree (refer to the bachelor’s degree requirements section of this catalog),
- Core Curriculum Requirements (refer to that section of this catalog),
- requirements for admission to and retention in the Teacher Education Program (refer to the Center for Educator Certification and Academic Services section of this catalog), and
- professional development courses (refer to the appropriate departmental section in this catalog, i.e. Department Curriculum & Instruction).

In addition, courses in the major must be completed as shown below.

## Guide for Initial Enrollment in Mathematics

The Texas Higher Education Coordinating Board has ruled that a mathematics course taught in a college or university may count toward the baccalaureate degree requirements only if it has a prerequisite of high school Algebra II. Generally, students not taking Algebra II in high school will need remediation in college. A diagnostic test will be given to each entering student for initial placement in mathematics courses. (See “Basic Skills Policy”)

**MATH 117 - Intro to Algebra**

Hours: 3

**MATH 131 - Intermediate Algebra**

Hours: 0-3

Intermediate Algebra. Three semester hours. May not be used to satisfy any mathematics or degree requirements. Basic algebraic operations, equations and inequalities, polynomials, functions, rational expressions, exponents and radicals, quadratic equations, graphing and geometry in the plane, sequences and series. This course is to prepare students for further study at the level of college mathematics.

**MATH 142 - Pre-Calculus**

Hours: 3

(MATH 2312) Pre-Calculus. Three semester hours. Trigonometric functions and their graphs; radian measurement; solution of triangles; identities; logarithmic and exponential functions; trigonometric equations; applications of trigonometry; conic sections and their graphs. Prerequisite: High school geometry and two years of high school algebra or MATH 1314.

**MATH 176 - Math Bus App II**

Hours: 3

(MATH 1325) Mathematics for Business Applications II. Three semester hours. The derivative, graphing and optimization, exponential and logarithmic functions, integration. Applications to management, economics, and business. Prerequisite: MATH 1314 or 1324.

**MATH 179 - US-Math Applications/Philosophy**

Hours: 3

Applications of mathematics which may include graph theory, linear programming, statistics, probability, coding theory and conic sections; logic; topics from the history of mathematics; the mathematical method and philosophy; mathematical writings. Prerequisites: TSI completion.

**MATH 189 - Independent Study**

Hours: 0-4

Independent Study. One to four semester hours. Individualized instruction/research at an advanced level in a specialized content area under the direction of a faculty member. May be repeated when the topic varies. Prerequisite: consent of department head.

**MATH 192 - Calculus II**

Hours: 4

(MATH 2414) Calculus II. Four semester hours. This course examines integral calculus of functions of one variable, and some integral calculus of functions of two variables, as follows. Topics include techniques of integration; applications of the integral; improper integrals; limits involving indeterminate forms; sequences and series; some exposure to multiple integrals; and use of computer technology. Prerequisite: MATH 2413.

**MATH 289 - Independent Study**

Hours: 0-4

**MATH 297 - Special Topics**

Hours: 0-4

**MATH 301 - Introductory Geometry**

Hours: 3

Topics will include plane and solid Euclidean geometry, including the properties of parallels, perpendiculars, triangles, and circles along with perimeter and formulas for area of plane regions and for the surface area and volume of solids. Prerequisites: "C" or better in MATH 351 or MATH 192.

**MATH 314 - CALCULUS III**

Hours: 4

Calculus III. Four semester hours. Infinite series; vector-valued functions; partial derivatives; multiple integrals; three-dimensional geometry; Green's Theorem; Stoke's Theorem. Prerequisite: MATH 192.

**MATH 315 - Differential Equations**

Hours: 3

Differential Equations. Three semester hours. First order equations, second order linear equations, power series solutions, Laplace Transforms, and applications. Prerequisite: MATH 192.

**MATH 316 - Mathematical Methods in Physics & Engineering**

Hours: 3

Mathematical techniques from the following areas: infinite series; integral transforming; applications of complex variables; vectors, matrices, and tensors; special functions; partial differential equations; Green's functions; perturbation theory; integral equations; calculus of variations; and groups and group representatives. Prerequisites: MATH 314 or consent of instructor.

**MATH 317 - Numerical Analysis**

Hours: 3

(Same as CSCI 317) Computer algebra systems will be introduced. Topics include methods for approximate solutions of equations in one variable, polynomial approximation methods, numerical calculus, numerical solutions to ordinary differential equations, linear systems of equations, and difference equations. Prerequisites: CSCI 151 or equivalent. MATH 192.

**MATH 321 - College Geometry**

Hours: 3

College Geometry. Three semester hours. A study of advanced topics in Euclidean plane geometry and an introduction to non-Euclidean geometry. Emphasis will be placed on the axiomatic method. Prerequisite: MATH 331.

**MATH 331 - Discrete Mathematics**

Hours: 3

Mathematical models, mathematical reasoning, sets, binary relations, counting and algorithm analysis, infinite sets. Prerequisites: CSCI 151 and MATH 192.

**MATH 334 - Intro Abstract Algebra**

Hours: 3

Introduction to Abstract Algebra. Three semester hours. Properties of the integers, permutations, groups, rings, integral domains and fields. Prerequisite: MATH 331.

**MATH 335 - Linear Algebra**

Hours: 3

Linear Algebra. Three semester hours. Vector spaces; linear transformations; matrices; determinants; systems of linear equations; equivalence relations on matrices; characteristic vectors; operators. Prerequisite: MATH 331.

**MATH 350 - Topics in Mathematics for Elementary Teaching I**

Hours: 3

This course will include content and pedagogy for teaching sets, functions, numeration systems, number theory, and the properties of the natural numbers, integers, rational, and real number systems with an emphasis on problem solving and critical thinking. Prerequisites: "C" or better in MATH 1314.

**MATH 351 - Topics in Math Elem Tch II**

Hours: 3

Mathematics for Elementary Teachers II - Three semester hours This course will include content and pedagogy for teaching geometry, probability, statistics, as well as applications of the algebraic properties of real numbers to concepts of measurement with an emphasis on problem solving and critical thinking. Prerequisite: a “C” or better in MATH 350 Mathematics for Elementary Teachers Part 1

**MATH 361 - Mathematical Modeling of Science for Middle School I**

Hours: 3

Mathematics will serve as the basis of the course and the following topics will be covered: Mathematical modeling, transformation of functions, data analysis skills, linear models, exponential growth and decay, logarithmic functions, logistic models, power and polynomial models, inverse and direct variation, periodic models and trigonometric functions. Prerequisites: "C" or better in MATH 351.

**MATH 362 - Mathematical Modeling of Science for Middle School II**

Hours: 3

Mathematics will serve as the basis of the course and the following topics will be covered: Trigonometric functions and relationships, rate of change, derivative concepts, extrema and points of inflection, accumulating change, concepts of the definite integral, finite difference equations. Technology will be a vital part of the course. Prerequisites: "C" or better in MATH 361.

**MATH 372 - Mathematics Structures and Applications**

Hours: 3

A study of the algebraic processes, polynomials, equations, inequalities, functions, graphs, and mathematics of finance. Prerequisites: "C" or better in MATH 351 or MATH 192.

**MATH 380 - GLB/Mathematics History**

Hours: 3

A survey of the history of mathematics; attention will be given to the origin, development and importance of mathematical ideas. Prerequisite: MATH 301.

**MATH 389 - Independent Study**

Hours: 1-4

Independent Study. One to four semester hours. Individualized instruction/research at an advanced level in a specialized content area under the direction of a faculty member. May be repeated when the topic varies. Prerequisite: consent of department head.

**MATH 397 - Special Topic**

Hours: 1-4

Special Topics. One to four semester hours. Organized class. May be repeated when topics vary

**MATH 401 - Intro to Math Statistics**

Hours: 3

Introduction to Mathematical Statistics. Three semester hours. Classical probability theory; discrete and continuous random variables; distribution functions; expectation; law of large numbers; central limit theorem; applications; random sampling; estimation of parameters; hypothesis testing; and other topics as time allows. Prerequisite: MATH 192.

**MATH 426 - GLB/History of Mathematics**

Hours: 3

Selected topics in the history of mathematics; the growth of algebra, trigonometry, geometry, and the calculus; the contribution of different cultures; selected biographies of mathematicians. Prerequisite: MATH 192 or consent of Instructor.

**MATH 436 - Introduction to Analysis**

Hours: 3

Introduction to Analysis. Three semester hours. Sequences; limits; functions; continuity; differentiation; integration. Prerequisite: MATH 192 and 331.

**MATH 437 - Elementary Number Theory**

Hours: 3

Elementary Number Theory. Three semester hours. Mathematical induction, divisibility, prime numbers, congruences, factorization, arithmetic functions, quadratic reciprocity, primitive roots, diophantine equations. Prerequisite: MATH 331.

**MATH 438 - Complex Analysis**

Hours: 3

The complex numbers; elementary functions and their mappings; complex limits and power series; analytic functions; conformal mapping and boundary value problems; Contour integrals; Cauchy's Theorem; Taylor and Laurent expansions; residues; Liouville's Theorem. Prerequisites: MATH 314.

**MATH 440 - Introduction to Topology**

Hours: 3

Introduction to Topology. Three semester hours. Topological spaces, topology of the real line, metric spaces, connectedness, compactness, separation axioms, mappings, continuity, homeomorphisms, product spaces. Prerequisite: MATH 331.

**MATH 453 - Essentials of Statistics**

Hours: 3

Essentials of Statistics. Three semester hours. Techniques of statistical applications concerning descriptive statistics, tests of hypothesis, regression and analysis of variance. Prerequisite: One course in college mathematics.

**MATH 460 - Math for Secondary Tch**

Hours: 3

Mathematics for Secondary Teachers. Three semester hours. Exploration of problems in algebra, trigonometry, analytic geometry, calculus, Euclidean geometry, probability, statistics and discrete mathematics using technology. The course is intended as a capstone study for prospective secondary teachers of mathematics. Graphing calculators and computers will be employed to illustrate and encourage conjecturing and problem solving with an emphasis on applications. In addition, a brief survey will be made of major documents and resources pertinent to secondary mathematics teachers, such as the NCTM Standards. Prerequisite: MATH 331 or consent of instructor.

**MATH 489 - Independent Study**

Hours: 1-4

Independent Study. One to four semester hours. Individualized instruction/research at an advanced level in a specialized content area under the direction of a faculty member. May be repeated when the topic varies. Prerequisite: consent of department head.

**MATH 490 - H Honors Thesis**

Hours: 3

H Honors Thesis Hours: 6 Individualized instruction/research at an advanced level in a specialized content area under the direction of a faculty member. Prerequisite Consent of head. Note May be repeated when the topic varies.

**MATH 491 - H Ind Honors Readings**

Hours: 3

Hours: One to four - Organized class Note May be graded on a satisfactory (S) or unsatisfactory (U) basis. May be repeated when topics vary

**MATH 497 - Special Topics**

Hours: 0-4

Special Topics. One to four semester hours. Organized class. May be repeated when topics vary.

**MATH 1314 - US-College Algebra**

Hours: 3

This course covers an in-depth study and applications of quadratics, polynomial, rational, exponential and logarithmic functions, and systems of equations. Additional topics such as arithmetic and geometric progressions; sequences and series; and matrices and determinants are included. Prerequisites: TSI completion.

**MATH 1324 - US-Math for Business Applications I**

Hours: 3

Linear equations, quadratic equations, functions, inequalities, mathematics of finance, linear programming, matrices and determinants, systems of linear equations, probability. Applications to management, economics, and business. Prerequisites: TSI Completion.

**MATH 1342 - Elementary Statistical Methods**

Hours: 3

Collection, analysis, presentation and interpretation of data, and probability. Analysis includes descriptive statistics, correlation and regression, confidence intervals and hypothesis testing. Appropriate technology will be used. Prerequisites: TSI Completion.

**MATH 2413 - Calculus I**

Hours: 4

(MATH 2413) Calculus I. Four semester hours. This course examines differential and integral calculus of functions of one variable, as follows. Topics include limits; continuity; derivatives; curve sketching; applications of the derivative; the definite integral; derivatives and integrals of the logarithmic, exponential, and trigonometric functions; and use of computer technology. Prerequisites: Two years of high school algebra and trigonometry or MATH 142.

**Stuart Anderson**

Regents Professor

B.A., M.S., University of North Texas; Ph.D., University of Oklahoma.

**Thomas Boucher**

Assistant Professor

BS., University of Massachusetts, MS., University of Massachusetts, and Ph.D. Texas A&M University

**Adam Bowden**

Instructor

B.S., M.S., Texas A&M University-Commerce

**Mehmet Celik**

Assistant Professor

B.A., Marmara University; Ph.D., Texas A&M University-College Station

**Hasan Coskun**

Associate Professor

B.S., Middle East Technical University; M.S., Stevens Institute of Technology; Ph.D., Texas A&M University

**Rebecca Dibbs**

Assistant Professor

B.A., M.A., Eastern Michigan University; M.S. Western Michigan University, M.S., Ph.D., University of Northern Colorado

**John L. Heath**

Assistant Professor

B.S., North Dakota State University; M.A., Sam Houston State University.

**Vanessa Huse**

Instructor

B.A.T., Sam Houston State University; M.Ed., University of North Texas; Ed.D., East Texas State University.

**Minchul Kang**

Assistant Professor

B.S., Korea University, Seoul, Korea; M.S., Ph.D., University of Minnesota

**Hanan Kuzat**

Instructor

B.S., Omdurman Ahlia College; B.S., University of Khartoum; M.S.,Tennessee State University

**Debra Newton**

Instructor

B.S., M.S., Texas A&M University-Commerce

**Ye-Lin Ou**

Associate Professor

B.S., Guangxi Inst.; M.S., Ph.D., The University of Oklahoma.

**Padmapani Seneviratne**

Assistant Professor

B.S. University of Peradeniya; M.S., Ph.D., Clemson University

**Nikolay Sirakov**

Professor

M.S., Sofia University; Ph.D., Bulgarian Academy of Sciences.

**Ka Sai Un**

Assistant Professional Track Faculty

B.S., M.S., Ed.D., Texas A&M University-Commerce.

**Tingixu Wang**

Professor and Department Head

B.S., Shandong University; M.S., Ph.D., Southern Illinois University

**Pamela Webster**

Assistant Professor-Professional Track

B.S., M.S., Ed.D., Texas A&M University-Commerce.