## Mathematics

The Department of Mathematics offers programs of study leading to the Bachelor of Science and Master of Science degrees in Mathematics.

#### Mathematics

The Bachelor of Science in Mathematics provides a program of study that prepares students who are:

- seeking to teach mathematics at the secondary level;
- seeking employment in industry; or
- seeking to pursue graduate study in Mathematics.

A minor in Mathematics requires a minimum of 18 hours of MATH, which will include MATH 209 and at least 6 advanced MATH hours. On the graduate level, the Master of Science in Mathematics provides a program of study that prepares students beyond the undergraduate level for employment in industry or higher education. Students completing the M.S. in Mathematics also receive preparatory work for pursuing a doctoral degree in mathematics or mathematics education. For further information about the graduate program, see the graduate section of the catalog. For more information about the Mathematics program, visit the departmental web site at www.tarleton.edu/math.

#### The Bachelor of Science Degree in Mathematics

Required Courses | ||

General Education Requirements ^{1, 3, 4, 5} | 42 | |

MATH 120 | Calculus I | 4 |

MATH 209 | Calculus II | 4 |

MATH 232 [shared] | Applied Matrix Algebra ^{2} | |

MATH 306 | Differential Equations | 3 |

MATH 311 | Probability and Statistics I | 3 |

MATH 320 | Foundations of Mathematics | 3 |

MATH 332 | Linear Algebra | 3 |

MATH 333 | Calculus III | 4 |

MATH 409 | Advanced Analysis I | 3 |

MATH 411 | Probability and Statistics II | 3 |

MATH 432 | Abstract Algebra | 3 |

C S 110 | Procedural Programming | 3 |

C S 344 | Computer Appl in Analysis | 3 |

PHYS 122 [shared] | Principles of Physics I ^{2} | |

Total Hours | 81 |

##### Additional Required Courses for Concentrations

###### General Without Certification

Supporting Field (12 Hours Advanced) ^{7} | 24 | |

Electives | 6 | |

Select three of the following: | 9 | |

Number Theory | ||

Numerical Analysis | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Secondary Mathematics Certification

COMS 101 [shared] | Fund Spch Comm ^{2} | |

MATH 301 | Number Theory | 3 |

MATH 402 | College Geometry | 3 |

MATH 404 | Survey of Mathematical Ideas | 3 |

MATH 405 | Concepts of Elementary Mathematics III | 3 |

ENGL 309 | Technical Writing & Document Design-WI | 3 |

EDU 320 | Professional Development I: Understanding Learners | 3 |

EDU 330 | Professional Development II: Effective Instruction | 3 |

EDU 430 | Professional Development III: Application of Effective Teaching Practices | 3 |

EDU 435 | Professional Development IV: Issues in Professional Development | 3 |

EDU 490 | Practicum in Teaching | 6 |

RDG 351 | Content Area Reading | 3 |

Select one of the following: | 3 | |

Child and Adolescent Psychology | ||

Educational Psychology | ||

Child Development | ||

Total Hours | 39 |

###### Secondary Mathematics/Physics Certification

COMS 101 [shared] | Fund Spch Comm ^{2} | |

MATH 301 | Number Theory | 3 |

MATH 402 | College Geometry | 3 |

MATH 404 | Survey of Mathematical Ideas | 3 |

ENGL 309 | Technical Writing & Document Design-WI | 3 |

PHYS 242 [shared] | Principles of Physics II ^{2} | |

PHYS 334 | Modern Physics I | 3 |

PHYS 435 | Quantum Physics | 3 |

Advanced PHYS Elective | 3 | |

EDU 320 | Professional Development I: Understanding Learners | 3 |

EDU 330 | Professional Development II: Effective Instruction | 3 |

EDU 430 | Professional Development III: Application of Effective Teaching Practices | 3 |

EDU 435 | Professional Development IV: Issues in Professional Development | 3 |

EDU 490 | Practicum in Teaching | 6 |

RDG 351 | Content Area Reading | 3 |

Select one of the following: | 3 | |

Child and Adolescent Psychology | ||

Educational Psychology | ||

Child Development | ||

Total Hours | 45 |

###### Accelerated Master's Program (see footnote 9)

Select 0-6 hours from | 0-6 | |

Number Theory | ||

Numerical Analysis | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Select 6-12 additional hours from 500 level MATH courses except MATH 588, MATH 598, and MATH 599 | 6-12 | |

Supporting Field (12 Hours Advanced) ^{7} | 24 | |

Electives | 3 | |

Total Hours | 33-45 |

###### Biomathematics

BIOL 120 [shared] | General Biology ^{2} | |

BIOL 121 | General Biology | 4 |

BIOL 303 | Genetics | 4 |

BIOL 307 | Microbiology | 4 |

BIOL 353 | Ecology and Evolution | 3 |

CHEM 105 | College Chemistry I | 4 |

ENGL 309 | Technical Writing & Document Design-WI | 3 |

MATH 360 | Numerical Analysis ^{6} | 3 |

MATH 420 | Mathematical Modeling | 3 |

Select 2 of the following: | 7-8 | |

Molecular Biology | ||

Introduction to Marine Biology | ||

Immunology | ||

Pathogenic Microbiology | ||

Ecology | ||

Parasitology | ||

Select 1 of the following: | 3 | |

Number Theory | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 38-39 |

###### Financial Analysis

ACC 203 | Intro to Fin Accounting | 3 |

ACC 204 | Intro to Mgr Accounting | 3 |

ACC 303 | Intermediate Accounting I | 3 |

COMS 202 [shared] | Business and Professional Speaking ^{2} | |

ECO 201 [shared] | Principles of Economics: Macro ^{2} | |

ECO 202 | Principles of Economics: Micro | 3 |

ECO 303 | Money and Banking | 3 |

FIN 301 | Principles of Financial Management | 3 |

FIN 400 | Advanced Financial Management | 3 |

FIN 401 | International Financial Management | 3 |

Advanced FIN electives | 6 | |

Select 3 of the following: | 9 | |

Number Theory | ||

Numerical Analysis | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Environmental Mathematics

BIOL 121 [shared] | General Biology (3 hours in General Education Requirements) ^{2} | |

ENTO 201 | General Entomology | 3 |

HORT 200 | Principles of Horticulture | 3 |

MATH 360 | Numerical Analysis | 3 |

MATH 420 | Mathematical Modeling | 3 |

WLDM 221 | Wildlife Conservation and Management | 3 |

Electives | 3 | |

Select 18 hours from the following: | 18 | |

Introduction to Agricultural Economics | ||

Animal Diseases and Parasites | ||

Integrated Pest Management | ||

Advanced Economic Entomology | ||

Horticultural Entomology | ||

Wildlife Management Techniques | ||

Weed Management | ||

Wildlife Diseases | ||

Population Dynamics | ||

Select 1 of the following: | 3 | |

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Pre-Actuarial

ACC 203 | Intro to Fin Accounting | 3 |

ACC 204 | Intro to Mgr Accounting | 3 |

COMS 202 [shared] | Business and Professional Speaking ^{2} | |

ECO 201 [shared] | Principles of Economics: Macro ^{2} | |

ECO 202 | Principles of Economics: Micro | 3 |

ECO 301 | Intermediate Macroeconomics | 3 |

ECO 302 | Intermediate Microeconomics | 3 |

ENGL 309 | Technical Writing & Document Design-WI | 3 |

FIN 301 | Principles of Financial Management | 3 |

FIN 400 | Advanced Financial Management | 3 |

FIN 404 | Investments | 3 |

FIN 408 | Principles of Insurance | 3 |

Select 3 of the following: ^{8} | 9 | |

Number Theory | ||

Numerical Analysis | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Pre-Law

ACC 203 | Intro to Fin Accounting | 3 |

COMS 101 [shared] | Fund Spch Comm ^{2} | |

COMS 102 | Public Speaking | 3 |

COMS 202 | Business and Professional Speaking | 3 |

COMS 303 | Debate | 3 |

Sophomore ENGL literature ^{2} | ||

ENGL 309 | Technical Writing & Document Design-WI | 3 |

ENGL 310 | Technical Writing and Editing | 3 |

PHIL 201 | Introduction to Logic | 3 |

PHIL 301 | Ethics in the Professions | 3 |

PSY 101 [shared] | General Psychology ^{2} | |

Electives | 6 | |

Select 3 of the following: | 9 | |

Number Theory | ||

Numerical Analysis | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Pre-Medical/Pre-Dental

BIOL 120 | General Biology | 4 |

BIOL 121 | General Biology | 4 |

BIOL 474 | Biochemistry I | 3 |

BIOL 475 | Biochemistry II | 3 |

CHEM 105 | College Chemistry I | 4 |

CHEM 108 | College Chemistry II | 4 |

CHEM 201 | Organic Chemistry I | 4 |

CHEM 202 | Organic Chemistry II | 4 |

COMS 202 [shared] | Business and Professional Speaking ^{2} | |

PHIL 301 [shared] | Ethics in the Professions ^{2} | |

PHYS 242 [shared] | Principles of Physics II (3 hours in General Education Requirements) ^{2} | |

Select 3 of the following: | 9 | |

Number Theory | ||

Numerical Analysis | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Systems Analysis

C S 231 | Introduction to Java Programming | 3 |

C S 241 | Data Structures | 3 |

C S 248 | Intro Digital System Design | 4 |

C S 343 | Computer Architecture | 4 |

C S 380 | Operating Systems | 3 |

C S 389 | Introduction to Software Engineering | 3 |

COMS 202 [shared] | Business and Professional Speaking ^{2} | |

ENGR 203 [shared] | Engineering Economy ^{2} | |

ENGL 309 | Technical Writing & Document Design-WI | 3 |

MATH 360 | Numerical Analysis | 3 |

PHYS 242 [shared] | Principles of Physics II (3 hours in General Education Requirements) ^{2} | |

Advanced C S electives | 7 | |

Select 2 of the following: | 6 | |

Number Theory | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Technical Writing

BIOL 120 [shared] | General Biology (3 hours in General Education Requirements) ^{2} | |

CHEM 105 | College Chemistry I | 4 |

COMS 202 [shared] | Business and Professional Speaking ^{2} | |

ENGL 309 | Technical Writing & Document Design-WI | 3 |

ENGL 310 | Technical Writing and Editing | 3 |

ENGL 312 | Graphics and Technical Writing | 3 |

Advanced ENGL electives | 6 | |

Lab Science elective | 4 | |

Electives | 7 | |

Select 3 of the following: | 9 | |

Number Theory | ||

Numerical Analysis | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

^{1} | Please see Academic Information section. |

^{2} | Course may be counted toward general education requirement. |

^{3} | For the Communications component: COMS 101 is required for Pre-Law, Secondary Mathematics Certification and Secondary Mathematics/Physics Certification concentrations and COMS 202 is required for Financial Analysis, Pre-Actuarial, Pre-Medical/Pre-Dental, Systems Analysis and Technical Writing concentrations. |

^{4} | For the Social and Behavioral Sciences component: ECO 201 is required for the Financial Analysis and Pre-Actuarial concentrations; PSY 101 is required for the Pre-Law concentration; PHIL 301 is required for the Pre-Medical/Pre-Dental concentration; and ENGR 203 is required for the Systems Analysis concentration. |

^{5} | For the Humanities component: A sophomore literature course in English is required for the Pre-Law concentration. |

^{6} | MATH 490 (Computer Aided Mathematics) may be substituted for MATH 360 with department head approval. |

^{7} | Courses for the supporting field are to be chosen from an academic area in which mathematics is applicable. Supporting field must be developed in consultation with an academic advisor and have department head approval. |

^{8} | With department head approval, MATH 505 (Probability and Statistics) may be taken for undergraduate credit to substitute for one of these electives. |

^{9} | Requirements for admission into the accelerated master's program include a 3.5 cumulative GPA at TSU, completion of 75 to 108 credit hours, including credits earned from advanced placement, and department head approval. Transfer students must have completed a minimum of two full-time semesters and 24 hours at Tarleton. See the Master of Science degree in mathematics for more details. |

#### Minor in Mathematics

A minor in Mathematics requires a minimum of 18 hours of MATH (of which at least 6 hours must be advanced) and including MATH 209 Calculus II.

#### Courses

**MATH 001. NonCourse Based Dev Math I. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

**MATH 002. NonCourse Based Dev Math II. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

**MATH 100. Basic Mathematics. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

This course features an intensive study of basic arithmetic concepts and skills, and the introduction to basic algebra as a preparatory course for MATH 101, Fundamentals of College Algebra. It does not count for degree credit. A student must earn a grade of at least C in order to progress to MATH 101.

**MATH 101. Fund Of College Algebra. 0 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

A study of functions, polynomials (including operations and factoring), rational expressions and equations, systems of linear equations in two and three variables, and exponents. Approved graphing calculator required. Not for degree credit. A student cannot get credit for MATH 101 if credit has previously been received for MATH 107. A student must earn a grade of at least C in order to progress to MATH 107. Enrollment in this course will be in accordance with the Mathematics Placement and Continuing Enrollment Rules.

**MATH 107. College Algebra. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). ** **(TCCN = MATH 1314)**

The study of quadratic, polynomial, exponential, and logarithmic functions and equations; conic sections; sequences and series; and the Binomial Theorem. Additional topics may include: mathematical induction and matrices. Approved graphing calculator required. Prerequisite: Enrollment in this course will be in accordance with the Mathematics Placement and Continuing Enrollment Rules.

**MATH 108. Elem Applied Math. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). ** **(TCCN = MATH 1332)**

Elementary mathematical applications to problems of finance, probability, statistics, and geometry, and the development of reasoning skills. This course cannot be counted on a degree program for a mathematics major. Prerequisite: high school Algebra I and II or a grade of C or better in MATH 101.

**MATH 109. Plane Trigonometry. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). ** **(TCCN = MATH 1316)**

Angles and coordinates, trigonometric functions, solutions of triangles and applications, reduction theorems and formulas, identities and conditional equations, addition formulas and derived relations, angular and linear speed, logarithms, and radian measure. Prerequisite: MATH 107 or concurrent registration.

**MATH 110. Mathematics for Business I. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). ** **(TCCN = MATH 1324)**

Linear equations and applications, linear forms and systems of linear equations, matrix algebra and applications, linear programming, probability and applications, and statistics. Prerequisite: three credits of high school mathematics including two credits in Algebra I and II or a grade of C or better in Math 1013.

**MATH 111. Math For Bus II. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). ** **(TCCN = MATH 1325)**

Application of mathematical concepts to topics from finance, management science, marketing, and economics. Concepts addressed include linear models, exponential functions, probability and statistics, and introductory calculus concepts. This course cannot be counted on a degree program for a mathematics major.

**MATH 118. Precalculus. 4 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). ** **(TCCN = MATH 2412)**

Applications of algebra and trigonometry to the study of elementary functions and their graphs including polynomial, rational, exponential, logarithmic, and trigonometric functions. Additional topics will be chosen from analytical geometry, mathematical induction, sequences, and series. Prerequisite: Enrollment in this course will be in accordance with the Mathematics Placement and Continuing Enrollment Rules. Lab fee $5.

**MATH 120. Calculus I. 4 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). ** **(TCCN = MATH 2413)**

Algebraic and transcendental functions, limits, continuity, derivatives and related applications, an introduction to the definite integral, integration, and the Fundamental Theorem of Calculus. Use of computer technology and laboratory assignments will be required in this course. Prerequisite: MATH 109 or MATH 118. Lab fee $5.

**MATH 131. Introductory Statistics. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Data collection and analysis, elementary probability, discrete and continuous distributions, regression, correlation, estimation, and nonparametric methods. Credit cannot be awarded for both MATH 131 and MATH 350. Prerequisite: MATH 107 or satisfactory performance on College-Level Mathematics Placement Examination or approval of Freshman Mathematics Coordinator .

**MATH 209. Calculus II. 4 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). ** **(TCCN = MATH 2414)**

Applications of integration, integration techniques, sequences and infinite series, power series, parametric and polar curves. Use of computer technology and laboratory assignments will be required in this course. Prerequisite: MATH 120. Lab fee $5.

**MATH 232. Applied Matrix Algebra. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

An introduction to matrix and vector arithmetic, Gaussian Elimination, matrix factorization, determinant, matrix inverse, eigenvalues and eigenvectors. Applications to be chosen from linear models, linear optimization and the Simplex Method, orthogonal projections and least-square problems, matrix diagonalization, discrete dynamical systems, cryptology and computer graphics. Technology will be emphasized. Prerequisite Course(s): MATH 120.

**MATH 300. Principles Of Statistics. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Data collection and analysis, elementary probability, discrete and continuous distributions, regression, correlation, estimation, and nonparametric methods. This course cannot be counted on a degree program for a mathematics major. Credit cannot be awarded for both MATH 300 and MATH 350. Prerequisite: MATH 107.

**MATH 301. Number Theory. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

The study of congruence relations, rational integers, diophantine equations, quadratic reciprocity law, linear forms, integral domains, and related topics. Prerequisite: 6 hours of Mathematics including MATH 120.

**MATH 302. Principles of Geometry. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Introduction to Euclidean geometry. Topics will include an introduction to logic, properties of parallel lines, triangles, quadrilaterals, and measurement. Similarity and proportionality will also be addressed. Prerequisite: MATH 120. Lab fee $5.

**MATH 303. Concepts of Elem Math I. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Problem solving, sets, functions, logic, elementary number theory, concepts of properties of whole numbers, rational numbers, integers, and real numbers. Designed for those planning to teach in elementary school. Prerequisites: MATH 107 and Junior standing. Lab fee $5.

**MATH 305. Concepts of Elem Math II. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Basic concepts in algebra, geometry, measurement, calculators and computers, metric system, probability and statistics. Prerequisite: MATH 303. Lab fee $5.

**MATH 306. Differential Equations. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Solutions and applications of homogeneous and nonhomogeneous ordinary differential equations, including first-order equations and higher-order linear equations. Qualitative properties of solutions are investigated, as well as exact methods for solving differential equations and initial value problems including series, Laplace transform, separation of variables, variation of parameters, and undetermined coefficients. Prerequisite: MATH 209.

**MATH 310. Discrete Mathematics. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Introduces students to the techniques and tools of reasoning, decision making and combinational problem solving. Topics include sets and logic, combinations, probability, relations and functions, Boolean properties and graph theory. Prerequisite: MATH 120 or concurrent enrollment.

**MATH 311. Probability and Statistics I. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Topics will include probability axioms and properties; conditional probability and independence; counting techniques; and discrete, continuous, univariate, and multivariate random variables. Prerequisite: MATH 209.

**MATH 332. Linear Algebra. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

A study of the theory of real vector spaces and linear transformations. Topics include vector spaces, inner product, norm, distance, subspaces, spanning sets, linear dependence and independence, bases, dimension, linear systems, coordinates, linear transformations, kernel, image, isomorphisms, inverse linear transformations, matrix representations of linear transformations, similarity, direct sums, and canonical forms. Prerequisites: MATH 209, MATH 232 and MATH 310.

**MATH 333. Calculus III. 4 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

The calculus of two dimensional vectors, parametric equations, cylindrical and spherical coordinates, multivariable differential calculus, directional derivatives and their applications, multiple integration, vector analysis, line and surface integrals, Green's Theorem, Stokes's Theorem. Use of computer technology and laboratory assignments will be required in this course. Prerequisite: MATH 209. Lab fee $5.

**MATH 350. Principles of Bio-Statistics. 4 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

An introduction to statistical methods that are applied in biology and agriculture. Use of technology and hands-on laboratory assignments will be required in this course. This course cannot be counted on a degree program for a mathematics major. Credit cannot be awarded for both MATH 300 and 350. Prerequisite: MATH 107. Lab fee $5.

**MATH 360. Numerical Analysis I. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

An introduction to numerical analysis. Topics will be selected from error analysis, solving algebraic equations, interpolation, numerical differentiation and integration, methods for solving systems of equations, approximation theory, and initial value problems of ordinary differential equations. Prerequisite: MATH 209.

**MATH 402. College Geometry. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Topics will include logic, properties of circles and transformations, projective and non-Euclidean geometry. Technology will be included when appropriate. Prerequisite: MATH 120. Lab fee$5.

**MATH 404. Survey Of Mathematical Ideas. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

This course is designed to bring together and supplement the technical material of other mathematics courses to communicate mathematics effectively. Topics in algebra, trigonometry, geometry, statistics, and discrete mathematics will be explored. Technology will be used where appropriate. Prerequisites: MATH 120 and MATH 302 or MATH 402 or concurrent enrollment.

**MATH 405. Math Concepts III. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

This course is designed to develop and extend the mathematical content knowledge of prospective middle school teachers. Topics will include the development of algebraic reasoning through the use of patterns, relations, and functions, with an emphasis on multiple representations (numerical, graphical, verbal, and/or symbolic). Technology will be integrated into the curriculum where appropriate. Prerequisite: Junior Standing with at least one of the following: MATH 305 or MATH 402 or concurrent enrollment in MATH 402.

**MATH 409. Advanced Analysis I. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). [WI] **

A study of the theory of the calculus of functions of a single variable. Topics include the topology of the real line, functions, sequences and their limits, continuity, differentiation, and analysis of variance. Prerequisite: MATH 209 and MATH 310.

**MATH 411. Probability & Statistics II. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Topics will include normal distributions; sampling distributions; the central limit theorem; descriptive statistics; and the theory of statistical estimation and testing, with applications to proportions, means, contingency tables, univariate linear regression, and analysis of variance. Prerequisite: MATH 311.

**MATH 420. Mathematical Modeling. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

An advanced course in mathematical modeling requiring students to build and validate deterministic models of complex phenomena. The course will emphasize both qualitative and quantitative computational techniques of applied mathematics. Prerequisites: MATH 209 and 6 hours of advanced MATH.

**MATH 432. Abstract Algebra. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). [WI] **

The study of preliminary notions, group theory, the theory of rings and ideals, and polynomial rings. Prerequisite: MATH 209 and MATH 232.

**MATH 470. Intro History of Mathematics. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

An introduction to the historical and philosophical development of the various branches of mathematics. The evolution of mathematical ideas will be studied from their developmental stages to the modern concepts used today. Prerequisites: 6 advanced hours in MATH.

**MATH 484. Internship. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

The student will complete a supervised and comprehensive work experience in a mathematics-related position with a public or private business organization for career preparation in a mathematics-related enterprise. The work experience must be formally approved and arranged with a cooperating sponsor prior to semester of enrollment in the course, and should be completed within the semester of course enrollment. Oral and written reports of the internship experience will be required. Prerequisite: At least 24 hours of degree-applicable MATH coursework with no grade lower than a 'C' in a MATH course, minimum 2.6 MATH GPA, minimum 2.6 overall GPA, junior or senior classification, and approval of department head.

**MATH 486. Mathematic Problems. 1-4 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Special problems in mathematics. Not covered by any course in the curriculum. Work may be either theory or laboratory. May be repeated with approval of the department head for additional credit when fewer than four credits have been earned. Prerequisite: Approval of department head.

**MATH 488. Undergraduate Research Project. 1-3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Methods of research in the mathematical sciences or in mathematics education through a research project directed by a departmental faculty member. The student is required to prepare a final report and presentation. No credit is earned until the student has enrolled in at least 3 credit hours and the final report and presentation are certified as completed by the faculty member directing the project, at which time the student will receive 3 credit hours. Prerequisite Course(s): Mathematics major, junior standing, 24 semester hours MATH and department head approval.

**MATH 490. Math Topics. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Topics will be selected from areas of mathematics suitable for upper level study. This course may be repeated once, with department head approval, as topics change. Prerequisite: MATH 209 and 6 hours of upper level mathematics.

Dr. Bryant Wyatt, Department Head

Department of Mathematics

Mathematics Building, Room 142

Box T-0470

Stephenville, Texas 76402

(254) 968-9168

wyatt@tarleton.edu

www.tarleton.edu/math

#### Professors

- Kirby
- Snider
- Winton

#### Associate professors

- Brawner
- K. Emmert
- Garza
- Riggs
- White
- Wyatt

#### Assistant professors

- Bass
- Crawford
- Smith

#### Instructors

- S. Emmert
- Gresham
- Groseclose
- Jackson
- McMahan
- Peters
- Teague
- Warren
- K. Wood