## 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 2414 Calculus II 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 2413 [shared] | Calculus I | |

MATH 2414 | Calculus II | 4 |

MATH 2332 | Applied Matric Algebra ^{2} | 3 |

MATH 3306 | Differential Equations | 3 |

MATH 3311 | Probability and Statistics I | 3 |

MATH 3320 | Foundations of Mathematics | 3 |

MATH 3332 | Linear Algebra | 3 |

MATH 3433 | Calculus III | 4 |

MATH 4309 [WI] | Advanced Analysis | 3 |

MATH 4311 | Porbability and Statistics II | 3 |

MATH 4332 [WI] | Abstract Algebra | 3 |

COSC 1310 | Procedural Programming | 3 |

COSC 3344 | Computer Applications in Analysis | 3 |

PHYS 2425 [shared] | Univeristy Physics I ^{2} | |

Total Hours | 80 |

##### 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 | ||

Partial Differential Equations | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Secondary Mathematics Certification

COMM 1311 [shared] | Introduction to Speech Communication ^{2} | |

MATH 3301 | Number Theory | 3 |

MATH 4302 | College Geometry | 3 |

MATH 4304 | Survey of Mathematical Ideas | 3 |

MATH 4305 | Concepts of Elementary Mathematics III | 3 |

ENGL 3309 [WI] | Technical writing and Document Design | 3 |

EDUC 3320 | Professional Development I: Understanding Learners | 3 |

EDUC 3330 | Professional Development II: Effective Instruction | 3 |

EDUC 4330 | Professional Development III: Application of Effective Teaching Practices | 3 |

EDUC 4335 | Professional Development IV: Issues in Professional Development | 3 |

EDUC 4690 | Practicum in teaching | 6 |

READ 3351 | Content Area Reading | 3 |

Select one of the following: | 3 | |

Child Psychology | ||

Educational Psychology | ||

Child Development | ||

Total Hours | 39 |

###### Secondary Mathematics/Physics Certification

COMM 1311 [shared] | Introduction to Speech Communication ^{2} | |

MATH 3301 | Number Theory | 3 |

MATH 4302 | College Geometry | 3 |

MATH 4304 | Survey of Mathematical Ideas | 3 |

ENGL 3309 [WI] | Technical writing and Document Design | 3 |

PHYS 2426 [shared] | University Physics II ^{2} | |

PHYS 3334 | Modern Physics I | 3 |

PHYS 4335 | Quantum Physics | 3 |

Advanced PHYS Elective | 3 | |

EDUC 3320 | Professional Development I: Understanding Learners | 3 |

EDUC 3330 | Professional Development II: Effective Instruction | 3 |

EDUC 4330 | Professional Development III: Application of Effective Teaching Practices | 3 |

EDUC 4335 | Professional Development IV: Issues in Professional Development | 3 |

EDUC 4690 | Practicum in teaching | 6 |

READ 3351 | Content Area Reading | 3 |

Select one of the following: | 3 | |

Child 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 | ||

Partial Differential Equations | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Select 6-12 additional hours from 5000 level MATH courses except MATH 5688, MATH 5198, and MATH 5699 | 6-12 | |

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

Electives | 3 | |

Total Hours | 33-45 |

###### Biomathematics

BIOL 1406 [shared] | Biology for Science Majors ^{2} | |

BIOL 1407 | Biology for Science Majors II | 4 |

BIOL 3403 | Genetics | 4 |

BIOL 3407 | Microbiology | 4 |

BIOL 3353 [WI] | Ecology and Evolution | 3 |

CHEM 1411 | College Chemistry I | 4 |

ENGL 3309 [WI] | Technical writing and Document Design | 3 |

MATH 3360 | Numerical Analysis ^{6} | 3 |

MATH 4320 | 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 | ||

Partial Differential Equations | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 38-39 |

###### Financial Analysis

ACCT 2301 | Principles of Accounting I-Financial | 3 |

ACCT 2302 | Principles of Accounting II-Managerial | 3 |

ACCT 3303 | Intermediate Accounting I | 3 |

COMM 2302 [shared] | Business and Professional Speaking ^{2} | |

ECON 2301 [shared] | Principles of Macroeconomics ^{2} | |

ECON 2302 | Principles of Microeconomics | 3 |

ECON 3303 [WI] | Money And Banking | 3 |

FINC 3301 | Principles of Financial Management | 3 |

FINC 4300 | Advanced Financial Management | 3 |

FINC 4301 | International Financial Management | 3 |

Advanced FINC electives | 6 | |

Select 3 of the following: | 9 | |

Number Theory | ||

Numerical Analysis | ||

Partial Differential Equations | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Environmental Mathematics

BIOL 1407 [shared] | Biology for Science Majors II ^{2} | |

WSES 2301 | General Entomology | 3 |

HORT 1301 | Horticulture | 3 |

MATH 3360 | Numerical Analysis | 3 |

MATH 4320 | Mathematical Modeling | 3 |

WSES 2330 | Wildlife Conservation and Mgmt | 3 |

Electives | 3 | |

Select 18 hours from the following: | 18 | |

Introductory Agricultural Economics | ||

Animal Diseases and Parasites | ||

Integrated Pest Management | ||

Advanced Economic Entomology | ||

Horticultural Entomology | ||

Wildlife Management Techniques | ||

Weed Management | ||

Wildlife Diseases | ||

Population Dynamics, Modeling, and Analysis | ||

Select 1 of the following: | 3 | |

Partial Differential Equations | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Pre-Actuarial

ACCT 2301 | Principles of Accounting I-Financial | 3 |

ACCT 2302 | Principles of Accounting II-Managerial | 3 |

COMM 2302 [shared] | Business and Professional Speaking ^{2} | |

ECON 2301 [shared] | Principles of Macroeconomics ^{2} | |

ECON 2302 | Principles of Microeconomics | 3 |

ECON 3301 | Intermediate Macroeconics | 3 |

ECON 3302 | Intermediate Microeconomics | 3 |

ENGL 3309 [WI] | Technical writing and Document Design | 3 |

FINC 3301 | Principles of Financial Management | 3 |

FINC 4300 | Advanced Financial Management | 3 |

FINC 4304 | Principles of Investments I | 3 |

FINC 4308 | Principles of Insurance and Risk Management | 3 |

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

Number Theory | ||

Numerical Analysis | ||

Partial Differential Equations | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Pre-Law

ACCT 2301 | Principles of Accounting I-Financial | 3 |

COMM 1311 [shared] | Introduction to Speech Communication ^{2} | |

COMM 1315 | Public Speaking | 3 |

COMM 2302 | Business and Professional Speaking | 3 |

COMM 3303 | Debate | 3 |

Sophomore ENGL literature ^{2} | ||

ENGL 3309 [WI] | Technical writing and Document Design | 3 |

ENGL 3310 [WI] | Technical Writing and Editing | 3 |

PHIL 2303 | Introduction to Logic | 3 |

PHIL 3301 | Ethics in the Professions | 3 |

PSYC 2301 [shared] | General Psychology ^{2} | |

Electives | 6 | |

Select 3 of the following: | 9 | |

Number Theory | ||

Numerical Analysis | ||

Partial Differential Equations | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

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

BIOL 1406 | Biology for Science Majors | 4 |

BIOL 1407 | Biology for Science Majors II | 4 |

BIOL 4374 | Biochemistry I | 3 |

BIOL 4375 | Biochemistry II | 3 |

CHEM 1411 | College Chemistry I | 4 |

CHEM 1412 | College Chemistry II | 4 |

CHEM 2423 | Organic Chemistry I | 4 |

CHEM 2425 | Organic Chemistry II | 4 |

COMM 2302 [shared] | Business and Professional Speaking | |

PHIL 3301 [shared] | Ethics in the Professions ^{2} | |

PHYS 2426 [shared] | University Physics II ^{2} | |

Select 3 of the following: | 9 | |

Number Theory | ||

Numerical Analysis | ||

Partial Differential Equations | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 39 |

###### Systems Analysis

COSC 2331 | Introduction to Java Programming | 3 |

COSC 2341 | Data Structures | 3 |

COSC 2448 | Introduction to Digital Systems Design | 4 |

COSC 3443 | Computer Architecture | 4 |

COSC 3380 | Operating Systems | 3 |

COSC 3489 [WI] | Introduction to Software Engineering | 4 |

COMM 2302 [shared] | Business and Professional Speaking | |

ENGR 2303 [shared] | Engineering Economy ^{2} | |

ENGL 3309 [WI] | Technical writing and Document Design | 3 |

MATH 3360 | Numerical Analysis | 3 |

PHYS 2426 [shared] | University Physics II ^{2} | |

Advanced COSC electives | 7 | |

Select 2 of the following: | 6 | |

Number Theory | ||

Partial Differential Equations | ||

Mathematical Modeling | ||

Undergraduate Research Project | ||

Math Topics | ||

Total Hours | 40 |

###### Technical Writing

BIOL 1406 [shared] | Biology for Science Majors ^{2} | |

CHEM 1411 | College Chemistry I | 4 |

COMM 2302 [shared] | Business and Professional Speaking | |

ENGL 3309 [WI] | Technical writing and Document Design | 3 |

ENGL 3310 [WI] | Technical Writing and Editing | 3 |

Advanced ENGL electives | 6 | |

ENGL 3312 | Graphics and Technical Writing | 3 |

Lab Science elective | 4 | |

Electives | 7 | |

Select 3 of the following: | 9 | |

Number Theory | ||

Numerical Analysis | ||

Partial Differential Equations | ||

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: COMM 1311 is required for Pre-Law, Secondary Mathematics Certification and Secondary Mathematics/Physics Certification concentrations and COMM 2302 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: ECON 2301 is required for the Financial Analysis and Pre-Actuarial concentrations; PSYC 2301 is required for the Pre-Law concentration; PHIL 3301 is required for the Pre-Medical/Pre-Dental concentration; and ENGR 2303 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 4390 Math Topics may be substituted for MATH 3360 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 5305 Statistical Models 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. |

#### Courses

**MATH 0301. Non Course Based Dev. Math I. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

**MATH 0302. Non Course Based Dev. Math II. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

**MATH 0303. 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 0304, 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 0304.

**MATH 0304. Fundamentals of College Algebra. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Functions, algebraic expressions, polynomials, exponents, equations, and systems of linear equations. Primarily for non-science and non-mathematics majors; not for degree credit. A student cannot get credit for MATH 0304 if credit has previously been received for MATH 1314. A student must earn a grade of a least C in order to progress to MATH 1314. Prerequisites: Enrollment in this course will be in accordance with the Mathematics Placement and Continuing Enrollment Rules.

**MATH 1100. Transitioning to University Studies in Mathematics. 1 Credit Hour (Lecture: 0 Hours, Lab: 0 Hours). **

This course seeks to transition new mathematics majors into university academic life. It will help new students utilize campus resources effectively, learn academic skills, and develop a support network with mathematics faculty and fellow mathematics majors. The course will introduce students to the culture of the mathematics department and mathematics community at large. Prerequisites: Must be a mathematics major.

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

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

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

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 1314 or concurrent registration.

**MATH 1324. Math for Business & Social Sciences I (Finite Mathematics). 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

Linear equations and applications, linear forms and systems of linear equations, matrix algebra and applications, linear programming, probability and applications, and statistics. Prerequisites: Enrollment in this course will be in accordance with the Mathematics Placement and Continuing Enrollment Rules.

**MATH 1325. Math for Business & Social Sciences II (Business Calculus). 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

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. Prerequisite: MATH 1324.

**MATH 1332. Contemporary Mathematics I. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

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 0304.

**MATH 1342. Elementary Statistical Methods. 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 1342 and MATH 3450. Prerequisites: Enrollment in this course will be in accordance with the Mathematics Placement and Continuing Enrollment Rules.

**MATH 2332. Applied Matric 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 2413.

**MATH 2412. Precalculus Math. 4 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

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 2413. Calculus I. 4 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

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 1316 or MATH 2412. Lab fee $5.

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

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 2413. Lab fee $5.

**MATH 3301. 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 2413.

**MATH 3302. 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 2413. Lab fee $5.

**MATH 3303. Concepts of Elementary Mathematics 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 1314 and Junior standing. Lab fee $5.

**MATH 3305. Concepts of Elementary Mathematics 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 3303. Lab fee $5.

**MATH 3306. 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 2414.

**MATH 3310. 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, functions and graphs, symbolic logic, finite state and Turing machines. Prerequisites: MATH 2413 or concurent enrollment.

**MATH 3311. 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 2414.

**MATH 3320. Foundations of Mathematics. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

This course introduces students to concepts and forms of proof found in advanced mathematics courses. Topics include logic, set theory, mathematical induction, relations, functions, and cardinality. Prerequisites: MATH 2413.

**MATH 3332. 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 2414, MATH 2332 and MATH 3320.

**MATH 3360. Numerical Analysis. 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 2414 and 3 hours of COSC.

**MATH 3433. 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 2414. Lab fee $5.

**MATH 3450. 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 1342 and 3450. Prerequisite: MATH 1314. Lab fee $5.

**MATH 4302. 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 2413. Lab fee$5.

**MATH 4304. 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 2413 and MATH 3302 or MATH 4302 or concurrent enrollment.

**MATH 4305. Concepts of Elementary Mathematics 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 3305 or MATH 4302 or concurrent enrollment in MATH 4302.

**MATH 4306. Partial Differential Equations. 3 Credit Hours (Lecture: 0 Hours, Lab: 0 Hours). **

An introduction to theory and applications of partial differential equations. Topics for study may include separation of variables, heat equation, Laplace's equation, wave equation, Fourier series, and Sturm-Liouville eigenvalue problems. Prerequisites: MATH 3306.

**MATH 4309. Advanced Analysis. 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 2414 and MATH 3320.

**MATH 4311. Porbability and 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 3311.

**MATH 4320. 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 2414 and 6 hours of advanced MATH.

**MATH 4332. 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 2414 and MATH 2332.

**MATH 4370. Introduction to the 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 4384. 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 4388. 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 4390. 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 2414 and 6 hours of upper level mathematics.

**MATH 4486. Mathematics 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. Prerequisite: Approval of department head.

Dr. Bowen Brawner, Department Head

Department of Mathematics

Mathematics Building, Room 142

Box T-0470

Stephenville, Texas 76402

(254) 968-9168

brawner@tarleton.edu

www.tarleton.edu/math

#### Professors

- Kirby
- Snider
- Winton

#### Associate professors

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

#### Assistant professors

- Bass
- Crawford
- Smith

#### Instructors

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