Undergraduate Courses in Mathematics
Subject course numbers in parentheses at the end of the course description represent the course equivalent in the Texas Common Course Numbering system. For more on the current courses, see the SRSU Catalog.
MATH 0300 Introductory Algebra (3-1)
This course is designed for students whose scores on placement examinations (THEA/COMPASS) do not meet minimum requirements on the mathematics portion of the placement examination. Topics included in this course are operations with rational numbers; elementary geometry and applications; algebraic expressions and their operations; solving linear equations and inequalities including applications; rectangular coordinate system; graphs of linear equations. Credit in this course cannot be used to satisfy requirements for any degree. (MATH 0300).
MATH 0301 Intermediate Algebra (3-1)
This course is designed for students whose scores on placement examinations (THEA/COMPASS) do not meet minimum requirements. Topics included in this course are operations with polynomial expressions; methods for solving quadratic equations and inequalities; applications of quadratic equations; rectangular coordinate system; graphs of quadratic equations. Credit in this course cannot be used to satisfy requirements for any degree. (MATH 0301) Prerequisite: C or better in MATH 0300 or satisfactory score on placement examinations.
MATH 1310 Introduction to University Mathematics (3-0)
An introduction to a selection of topics at or above the level of college algebra. Topics are chosen from: the mathematics of voting, fair division, Aristotelian logic, introductory graph theory, solution of linear equations and systems of linear equations, symmetry, elementary probability and statistics. Applications are drawn from a broad range of disciplines including business, science, the social sciences, and agriculture. This course satisfies the Common Core Curriculum requirement for mathematics and is recommended for students who do not plan to take Calculus I (MATH 2413). All state-mandated remedial courses must be completed prior to enrollment in this course. (MATH 1324) Prerequisites: Completion of MATH 0301 or a satisfactory score on the Mathematics Placement Exam.
MATH 1315 University Algebra (3-0)
A university-level algebra course for students who plan to take calculus. Topics include linear and quadratic equations and functions, inequalities, graphs and zeros of polynomial and rational functions, exponential and logarithmic functions and systems of equations and inequalities. (MATH 1314) Prerequisite: MATH 0301 or a satisfactory score on the Mathematics Placement Exam (Math TASP 260 or higher).
MATH 1316 Trigonometry (3-0)
Directed angular measure, definitions and evaluation of circular and trigonometric functions, graphs of the trigonometric functions, the inverse trigonometric functions and their graphs, solution of triangles by the law of sines and law of cosines, trigonometric identities and conditional equations, and applications of trigonometry to analytic geometry. (MATH 1316) Prerequisite: Concurrent enrollment in MATH 1315.
MATH 1325 Business Calculus (3-0)
A modeling-based introduction to graphing, differentiation, integration and optimization, with a focus on business applications. The use of a graphing calculator or a computer algebra system will be required. Prerequisite: MATH 1315.
MATH 1342 Statistics (3-0)
An introductory statistics course designed to give the student the critical-thinking skills necessary to interpret statistical information. This course will prepare the student for further statistical work in his/her field. Topics include: measures of central tendency, measures of variation, normal distributions, hypothesis testing and graphical representations. Use of statistical software and real-world data is integrated throughout the course. Prerequisites: Completion of MATH 0301 or a satisfactory score on the Mathematics Placement Test.
MATH 2306 Special Topics (3-0)
Discussion of selected topics in mathematics, at or above the level of college algebra, suitable for lower-division students. The course may be repeated for different topics. Prerequisite: Permission of the instructor.
MATH 2310 Foundations of Elementary Mathematics I (3-0)
First course in required mathematics content sequence for preservice elementary and middle-school teachers. Topics include problem-solving techniques, reasoning, study of sets, systems of numeration, natural numbers, integers, number theory and rational numbers. Emphasis on problem-solving as a pedagogical tool, with integration of manipulative-based explorations. Prerequisites: Satisfactory completion of MATH 1315 or MATH 1342 with a grade of C or better; or equivalent advanced credit placement.
MATH 2311 Foundations of Elementary Mathematics II (3-0)
Second course in the mathematics content sequence for preservice elementary and middle-school teachers. Topics include: fraction operations, decimals, real numbers, ratio and proportion, percent, basic notions of geometry, measurement and basic probability and statistics. Prerequisites: Satisfactory completion of MATH 2310 with a grade of C or better.
MATH 2330 Linear Algebra (3-0)
Systems of linear equations, matrices, determinants, vectors and vector spaces, matrix inversions and linear transformations, determination of eigenvalues and eigen-vectors and numerical approximation methods of linear algebra. Use of a programmable graphing calculator may be required. Students are also introduced to related mathematical resources on the Internet. Prerequisite: MATH 2414 or consent of the instructor.
MATH 2340 Discrete Mathematics (3-0)
Sets, Boolean algebra and Venn diagrams, functions, elementary propositional and predicate logic, proof techniques, graph theory, combinatorics and elementary probability, and modular arithmetic. Prerequisite: MATH 1315.
MATH 2413 Calculus I (3-2)
Topics include limits and continuity, the derivative, techniques for differentiation of algebraic, logarithmic, exponential and trigonometric functions, applications of the derivative and anti-differentiation. Prerequisite: MATH 1315 and MATH 1316.
MATH 2414 Calculus II (3-2)
Topics include the definite integral and its applications, techniques of integration, improper integrals, Taylor's formula and infinite series. Prerequisite: MATH 2413 with a grade of C or better.
MATH 2415 Calculus III (3-2)
This course includes the study of the calculus of functions of several variables and topics in vector calculus, including line and surface integrals, Green's Theorem, Divergence Theorem and Stokes' Theorem. Prerequisite: MATH 2414 with a grade of C or better.
MATH 3101 Departmental Seminar (1-0)
A forum for the presentation and discussion of results from various disciplines relating to computer science and mathematics. Presentations will be made by visitors, faculty and students. Students enrolled for credit in the departmental seminar will be expected to make at least one oral presentation during the semester. The course may be repeated during different semesters. (This course is a cross-listing of CS 3101.) Prerequisite: Upper-division standing.
MATH 3301 Geometry (3-0)
This course consists of a modern formal development of Euclidean geometry and a limited introduction to non-Euclidean geometry, with an integration of topics, methods and use of technology appropriate for prospective middle grade and secondary mathematics teachers. Prerequisite: MATH 2311, MATH 2340 or MATH 2330; or consent of instructor.
MATH 3306 Special Topics (3-0)
Discussion of selected topics in mathematics. The course may be repeated for different topics. Prerequisite: Permission of instructor.
MATH 3310 Foundations of Elementary Mathematics III (3-0)
Continuation of the MATH 2310-2311 sequence. Topics from informal Euclidean Geometry in 2 and 3 dimensions, including concepts of congruence and similarity, transformational geometry and measurement; and development of algebraic reasoning and beginning algebra. Prerequisite: Satisfactory completion of MATH 2311 with a grade of C or better.
MATH 3320 Differential Equations (3-0)
First-order differential equations, linear differential equations of higher order, power series solutions, systems of linear differential equations and applications. Use of a programmable graphing calculator may be required. Students are also introduced to a symbolic algebra system running on a personal computer. Corequisite: MATH 2330; Prerequisite: MATH 2414.
MATH 3330 Number Theory and Cryptography (3-0)
This is an introductory course in basic number theory via its important applications in modern cryptography. Topics include divisibility and the Euclidean algorithm, congruences, finite fields, quadratic residues, enciphering matrices, public key cryptography, pseudoprimes, and factoring techniques. Prerequisite: MATH 2330
MATH 3350 History of Mathematics (3-0)
Biographies of a representative sample of mathematicians along with an exploration of the chronological development of important ideas in mathematics, particularly in the fields of geometry and number theory. Prerequisite: MATH 2413.
MATH 4320 Analysis I (3-0)
Topology of the real line, sequences of real numbers, and continuity of functions of a single real variable. Includes an introduction to logic, set theory, and cardinal arithmetic. Prerequisite: MATH 2415.
MATH 4321 Analysis II (3-0)
A continuation of MATH 4320. The course includes rigorous treatments of differentiation, the Riemann integral, sequences and series of functions and an introduction to Fourier series. Prerequisite: MATH 4320.
MATH 4330 Modern Algebra I (3-0)
Group theory and its application to number theory and geometry, introduction to rings, integral domains and fields. The course may require the use of a programmable graphing calculator and/or a symbolic algebra system running on a personal computer. Prerequisites: MATH 2330 and MATH 2415.
MATH 4331 Modern Algebra II (3-0)
A continuation of MATH 4330. This course continues the study of rings and fields with a brief introduction to Galois theory. The course focuses on polynomial rings, vector spaces and rings of matrices. Prerequisite: MATH 4330.
MATH 4340 Mathematical Statistics (3-0)
Classical probability theory; discrete and continuous random variables; distribution functions; expectation; law of large numbers; central limit theorem; applications. Prerequisite: MATH 2414.
MATH 4360 Complex Variables I (3-0)
An introductory course covering functions of one complex variable. Topics will include: the algebra of complex numbers, geometry in the complex plane, polar representation of complex numbers, analytic functions, mappings, continuity, differentiability, Cauchy-Riemann equations, elementary functions of a complex variable, contour integrals and the Cauchy integral formula. Prerequisite: MATH 2415.
MATH 4361 Complex Variables II (3-0)
Further treatment of functions of a single complex variable. Topics will include: Taylor and Laurent series, Residue theorems, integration, mappings using elementary functions and conformal mappings. Prerequisite: MATH 4360.
MATH 4390 Senior Project (0-6)
Directed individual studies in some mathematical topic of interest to the student. The course requires a written paper appropriately documented in AMS style and an oral presentation. The student will also be expected to answer questions from faculty for purposes of curriculum assessment. Prerequisite: Completion of MATH 4320 or 4330 with a grade of "C" or better.
|
Sul Ross State University
