# Mathematical Sciences (MATH)

**MATH 1300: Mathematics for Quantitative Reasoning**

Cr. 3. (3-3-0).

Mathematical topics included but not limited to: numeracy (estimation, large numbers), evaluating expressions and formulas, rates, percentages, models, data interpretations, function’s representations. This course will not count as credit toward the UHV Core, but may be used as a lower-division elective. May not be taken for credit after successful completion of MATH 1314 or Math courses of a higher number.

**MATH 1314: College Algebra **

Cr. 3. (3-3-0). Prerequisite(s): TSI complete in Mathematics or a grade of “C” or higher in MATH 1300.

Course will cover quadratics, polynomial, rational, logarithmic and exponential functions, system of equations, progression, sequences and series, matrices and determinants.

**MATH 1324: Finite Math **

Cr. 3. (3-3-0). Prerequisite(s): TSI complete in Mathematics or a grade of “C” or higher in MATH 1300.

Course will provide essentials of finite mathematics, including topics such as set theory, matric algebra, solving systems of equations using matric methods; counting method; probability theory; game theory.

**MATH 1325: Business Calculus **

Cr. 3. (3-3-0). Prerequisite(s): TSI complete in Mathematics or a grade of “C” or higher in MATH 1300.

Course will provide essentials of business calculus, including study of functions and graphs from a calculus viewpoint as applied to problems in business.

**MATH 1350: Mathematics Fundamentals I**

Cr. 3. (3-3-0).

Topics include problem solving, sets and whole numbers, numeration systems, number theory, integers, fractions, decimals, and proportional reasoning concepts.

**MATH 1351: Mathematics Fundamentals II**

Cr. 3. (3-3-0).

Topics include algebra, geometry, measurement, statistics and probability concepts.

**MATH 2312: Pre-Calculus **

Cr. 3. (3-3-0). Prerequisite(s): TSI complete in Mathematics or a grade of “C” or higher in MATH 1300.

Course will provide essentials of pre-calculus including linear and non-linear functions, graphs of functions, trigonometric functions; analytic trigonometry, analytic geometry, and solving system of linear equations and inequalities.

**MATH 2320: Differential Equations**

Cr. 3. (3-3-0). Prerequisite(s): Grade of 'C' or better in MATH 2414

Introduction to ordinary differential equations. Topics include first and second order (ODEs), boundary value problems, numerical methods, Fourier and Laplace transforms, linear equations with constant coefficients, and systems of ODEs.

**MATH 2413: Calculus I **

Cr. 4. (4-4-0). Prerequisite(s): MATH 2312 and TSI complete in Mathematics

Provide essentials of Calculus I. Discover the important topics such as mathematical models, continuity and limit, derivative and differentiation rules; optimization and approximation, and anti-derivatives.

**MATH 2414: Calculus II **

Cr. 4. (4-4-0). Prerequisite(s): MATH 2413 and TSI complete in Mathematics.

Course will provide essentials of Calculus II, including integration, rules for integration, sequences, finite and infinite series, differential equations.

**MATH 2415: Calculus III **

Cr. 4. (4-4-0). Prerequisite(s): MATH 2414 and TSI complete in Mathematics.

Course will provide essentials of Calculus III, including vectors, partial derivatives, tangent planes, gradient, directional derivatives, multiple integration, Lagrange multipliers.

**MATH 3300: Selected Topics in Mathematical Sciences**

Cr. 3. (3-3-0).

**MATH 3310: Math Concepts I**

Cr. 3. (3-3-0). Prerequisite(s): MATH 1314 College Algebra. Admitted to Teacher Education.

A problem solving approach to sets, relations, numeration systems, whole numbers, number theory, integers, rational numbers as fractions, and measurement (Early Childhood-Grade 4 certification).

**MATH 3311: Math Concepts II**

Cr. 3. (3-3-0). Prerequisite(s): MATH 1314 College and MATH 3310; Admission to Teacher Education.

A problem solving approach to decimal, percent, ratio, proportion, probability, statistics, and geometry concepts. (Early Childhood-Grade 4 certification).

**MATH 3312: Math Concepts I for Middle School Teachers**

Cr. 3 (3-3-0) Prerequisite(s): MATH 1314, Admission to Teacher Education .

Mathematics content (first part) necessary for teaching in the 4-8 classroom is included. This course is designed specifically for students who seek 4-8 teacher certification.

**MATH 3318: Concepts in Math I**

Cr. 3. (3-3-0). Prerequisite(s): Admission to Teacher Education, Math 1314.

Sets, whole numbers, relations, numerations systems, theory, integers, rational numbers, fractions and measurement will be addressed by a problem solving approach. Designed for EC-6 teacher candidate.

**MATH 3320: Concepts in Math II**

Cr. 3. (3-3-0). Prerequisite(s): Admission to Teacher Education, Math 1314, MATH 3318.

Decimals, percent, ration, proportion, probability, statistic and geometry concepts will be addressed by a problem solving approach. Designed for EC-6 teacher candidate.

**MATH 3321: Gaming Mathematics for Non-Programmer**

Cr. 3. (3-3-0). Prerequisite(s): 3 credits lower-division math and 3 credits lower-division

computer programming.

Mathematics theory and application for students who pursue non-programming gaming degree. Topics include motion and computer graphics related math theories and the application of these theories to game programming and simulations.

**MATH 3343: History of Mathematics **

Cr. 3. (3-3-0). Prerequisite(s): MATH 2413 or 3 s.h. of calculus

A historical development of the mathematical sciences.

**MATH 3347: Operations Research**

Cr. 3. (3-3-0). Prerequisite(s): MATH 3391 or 3 s.h. of statistics.

Linear programming, critical path analysis, inventory models, Monte Carlo simulation, queuing models and dynamic programming.

**MATH 3357: Introduction to Higher Geometry**

Cr. 3. (3-3-0). Prerequisite(s): 3 s.h. of calculus or equivalent.

Introduction to modern approaches to the development of Euclidean geometry.

**MATH 3361: Linear Algebra**

Cr. 3. (3-3-0). Prerequisite(s): MATH 2413 or 3 s.h. of calculus, finite math or equivalent.

Vector spaces, linear transformation, representation of linear transformations by matrices, matrix algebra, determinants, systems of linear equations and eigenvalue problems. Applications to 2D and 3D geometric modeling, computer graphics, and digital game programming.

**MATH 3362: Discrete Structures**

Cr. 3. (3-3-0). Prerequisite(s): MATH 3357 or MATH 3391 or 3 s.h. of pre-calculus or business calculus.

Mappings, relations, recurrence, logic, Boolean algebras, graphs, induction, proofs, languages, state machines, history of artificial intelligence, Turing test, and applications of these areas.

**MATH 3365: Introduction to Mathematical Proofs**

Cr. 3. (3-3-0). Prerequisite(s): MATH 2413 or Instructor Approval.

This course introduces elements of mathematical proof; it focuses on various forms and methods of mathematical proofs.

**MATH 3391: Probability and Statistics **

Cr. 3. (3-3-0). Prerequisite(s): Pre-calculus or calculus or 3 s.h. of calculus

Applied statistics with probability.

**MATH 3395: Statistics for the Social Sciences**

Cr. 3. (3-3-0). Prerequisite(s): 3 s.h. of college algebra; must have completed at least 30 semester hours.

Descriptive and inferential statistics used in the social sciences. Cross-listed with PSY 3315.

**MATH 4300: Selected Topics in Mathematical Sciences **

Cr. 3. (3-3-0). Prerequisite(s): 6 s.h. in mathematics and consent of instructor. May be repeated with approval of school dean.

**MATH 4302: Independent Study**

Cr. 3 per semester or more than 3 by concurrent enrollment. Prerequisite(s): 6 s.h. in mathematics and approval of school dean.

**MATH 4310: Fundamental Concepts of Analysis **

Cr. 3. (3-3-0). Prerequisite(s): MATH 2414 or 8 s.h. of calculus or equivalent or permission of instructor.

Definitions of functions and limits. Introduction to continuity, differentiation, integration, sequences and series, point-set topology, sequences and series of functions, and functions of several variables.

**MATH 4311: Modern Algebra**

Cr. 3. (3-3-0). Prerequisite(s): MATH 3362 or MATH 4310 or 8 s.h. of Calculus.

Logical structure of mathematics, proof techniques, rings, integral domains, fields, factorization, groups ideals and field extensions, applications.

**MATH 4312: Mathematical Programming**

Cr. 3. (3-3-0). Prerequisite(s): MATH 2413 or 3 s.h. of calculus or equivalent.

Mathematical development on linear programming, sensitivity analysis, dual problem dynamic programming, probabilistic inventory models and Monte Carlo methods.

**MATH 4327: Trends in Mathematics I**

Cr. 3. (3-3-0). Prerequisite(s): MATH 3312 and MATH 4345.

Mathematical processes, perspectives, learning, instruction, assessment of algebra, probability and statistics concepts for the Mathematics 4-8 Concentration or Mathematics/Science 4-8 Concentration.

**MATH 4328: Trends in Mathematics II**

Cr. 3. (3-3-0). Prerequisite(s): MATH 3312 and MATH 4345.

Mathematical processes, perspectives, learning, instruction, assessment of geometry, measurement, trigonometry and calculus concepts for the Mathematics 4-8 Concentration or Mathematics/Science 4-8 Concentration.

**MATH 4345: Math Concepts II for Middle School Teachers**

Cr. 3. (3-3-0). Prerequisite(s): MATH 1314, Admission to Teacher Education.

Mathematics content (second part) necessary for teaching in the 4-8 classroom is included. This course is designed specifically for students who seek 4-8 teacher certification.

**MATH 4351: Mathematical Modeling**

Cr. 3. (3-3-0). Prerequisite(s): MATH 2315 or MATH 2415(Calculus III); or MATH 2320 Differential Equations.

The modeling process; dimensional analysis and similitude. Models using proportionality, curve-fitting, experiments, optimization, simulation, and differential equations.

**MATH 4378: Numerical Analysis**

Cr. 3. (3-3-0). Prerequisite(s): MATH 2414 or 8 s.h. of calculus.

Basic numerical methods and error analysis associated with the following topics: power series, roots of equations, systems of linear algebraic equations, interpolation, integration, finite differences and ordinary differential equations. Computer programming of selected algorithms.

**MATH 4381: Theory of Interest**

Cr. 3. (3-3-0). Prerequisite(s): MATH 2414 or 8 s.h. of calculus.

Study of interest, compound interest, value equations, annuity functions and their application.

**MATH 4382: Actuarial Mathematics**

Cr. 3. (3-3-0). Prerequisite(s): MATH 2315 or MATH 2415 (Calculus III)

Mathematics development of life contingencies, single-life, joint-life, survivor-life functions and their applications.

**MATH 4391: Probability and Statistics II**

Cr. 3. (3-3-0). Prerequisite(s): 6 s.h. of calculus or equivalent, and MATH 3391 or 3 s.h. of statistics.

Mathematical development on multivariate distribution, methods of estimation, test of hypothesis, regression and Bayesian method.