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Department of Mathematics
Member, Texas Tech University System The Princeton Review - 373 Best Colleges, 2011 Edition

Mathematics (MATH) Course Descriptions, Syllabi and Course Schedule


Texas Success Initiative (TSI) Requirements. A student who fails to meet the minimum passing standard on the mathematics section of the TSIA must enroll in an appropriate developmental option determined by the Department of Mathematics. The student must be continuously enrolled in the developmental mathematics program until TSI requirements are satisfied.  TSI requirements may be satisfied by one of the options specified under Developmental Education.

Non-course-based Option. Certain students as determined by the Department of Mathematics may be eligible to participate in non-course-based activities to complete TSI requirements. Contact the department for information about this option.

Course-based Option. Specially designated sections of freshman mathematics courses (“T-sections,” whose section number begins with a “T”) are designed to provide additional support for students who are not TSI
complete. Students who are required to participate in developmental activities must enroll in these sections, which are identified by section numbers T10, T20, etc.

Mathematics 1302 and Mathematics 1324 “T-sections” meet for six hours weekly; Mathematics 1332 and Mathematics 1333 “T-sections” meet for five hours weekly. In all cases, “T-sections” only count three hours toward a student’s bill, course load, and GPA. A passing grade in mathematics “T-section” will both complete the student’s TSI requirements in mathematics and also earn the student credit for the appropriate college-level mathematics course. Students should choose the appropriate course in conjunction with their academic advisor to align with their degree programs.  A student enrolled in a mathematics “T-section” is also subject to the special provisions regarding class attendance and withdrawals for students who are not TSI complete.

130C Developmental Mathematics (3-0). An introductory course designed to remediate identified deficiencies and provide a review of fundamental operations in mathematics based on the student’s mastery of the College and Career Readiness Standards. Topics may include elementary algebra and functions; intermediate algebra and functions; geometry and measurement; and data analysis, statistics, and probability. Software will be used to customize the course to fit individual students’ needs.

1302 College Algebra (3-0). Exponents and radicals, logarithms, factoring, algebraic quotients, systems of equations, inequalities, absolute value, complex numbers, quadratic equations, binomial theorem, progressions, theory of equations, and determinants.
Prerequisite: Completion of Mathematics Texas Success Initiative (TSI) requirements.

1324  Finite Mathematics I (3-0). Topics include basic algebra, linear equations, quadratic equations, functions and graphs, inequalities, logarithms and exponential functions, mathematics of finance, linear programming, matrices, systems of linear equations, and applications to management, economics, and business.
Prerequisite: Completion of Mathematics Texas Success Initiative (TSI) requirements.

1325 Business Calculus and Finite Mathematics II (3-0). Topics include set operations, counting techniques and probability, random variables and distribution functions, limits and continuity, derivatives, graphing and optimization, exponential and logarithmic functions, antiderivatives, integration, and applications to management, economics, and business.
Prerequisite: MATH 1324 or an acceptable score on the departmental placement examination.

1332  Introduction to Contemporary Mathematics (3-0). A course designed for liberal arts and other non-mathematics and non-science majors who wish to satisfy the three-hour core curriculum mathematics requirement. Topics include graphs and networks, theory of elections and apportionment, statistics, mathematical models.
Prerequisite: Completion of Mathematics Texas Success Initiative (TSI) requirements.

1333  Elementary Statistics (3-0)  A survey of basic statistical methods from an elementary standpoint.  Topics include distributions, central tendency, variability, inferential procedures for one population; brief introduction to sampling techniques and nonparametric methods.
Prerequisite: Completion of Mathematics Texas Success Initiative (TSI) requirements.

1341 Mathematics for Elementary/Middle School Teachers I (2-2). Sets and relations, the system of whole numbers, numeration systems, the system of integers, elementary number theory, fractions and rational numbers, decimals and real numbers. Lab activities will include making and using math manipulatives, comparing different problem solving techniques, making interdisciplinary connections, and experiencing math concepts through auditory, visual, and kinesthetic approaches to inquiry-based activities.
Prerequisite: Mathematics 1302 or 1324 or equivalent.

1342 Mathematics for Elementary/Middle School Teachers II (2-2). Decimals and real numbers, nonmetric geometry, metric geometry, measurement, graphs, probability and statistics. Lab activities will include making and using math manipulatives, comparing different problem solving techniques, making interdisciplinary connections, and experiencing math concepts through auditory, visual, and kinesthetic approaches to inquiry-based activities.
Prerequisite: Mathematics 1341.

1351 Mathematical Technology (3-0). Mathematical software applications, including both computer algebra systems and mathematical typesetting software. (Credit may not be earned for both this course and Computational and Applied Mathematics 1351.)
Prerequisite: Mathematics 1302 or 1311, or a score of 26 or higher on the mathematics section of the ACT, or a score of 580 or higher on the mathematics section of the SAT.

1360   Precalculus (3-0). An intensive overview of topics from algebra, trigonometry, and analytic geometry that are needed for calculus, including equations and inequalities, functions and inverse functions, trigonometric functions and equations.
Prerequisite:  Mathematics 1302 with a grade of C or better, or a score of 26 or higher on the mathematics section of the ACT, or a score of 600 or higher on the mathematics section of the SAT.

1561 Precalculus (5-0). An intensive overview of topics from algebra, trigonometry, and analytic geometry that are needed for calculus, including equations and inequalities, functions and inverse functions, sequences and series, trigonometric functions and equations, powers and roots of complex numbers, conic sections, parametric equations, polar coordinates, and applications.
Prerequisite: Mathematics 1302 with a grade of C or better, or a score of 26 or higher on the mathematics section of the ACT, or a score of 580 or higher on the mathematics section of the SAT, or a satisfactory score on departmental placement exam.

2305 Discrete Mathematics I (3-0). An introduction to discrete mathematics including counting principles, combinatorics, discrete probability, sequences, series, and binomial theorem (Credit may not be earned for both this course and CAM 2305.)
Prerequisite: MATH 130B or equivalent. (Credit may not be earned for both this course and CAM 2305.)

2331   Calculus I (3-0). Differential calculus for functions of one variable including a study of limits, continuity, derivatives of different classes of functions, indeterminate forms, maxima and minima, concavity, related rates, and optimization problems.
Prerequisite: Mathematics 1360, or equivalent.

2332   Calculus II (3-0). Introduction to the (Riemann) integral and the relationship between the derivative and integral; techniques for evaluating integrals using the fundamental theorem of calculus; applications of the integral to physical and geometrical problems.
Prerequisite: Mathematics 2331.

2513  Calculus I (5-0). Differential calculus for functions of one variable including a study of limits, continuity, derivatives of different classes of functions, maxima and minima, concavity, related rates, and optimization problems. Introduction to the integral and the relationship between the derivative and integral, the Fundamental Theorem of Calculus, and integration techniques.
Prerequisite: Mathematics 1561 or equivalent.

3300 Introduction to Abstract Mathematics (3-0). Logic, set operations, equivalence relations, properties of the real number system, cardinality of sets, and related topics, with an emphasis throughout on developing the necessary skills to read and construct formal mathematical arguments. To ensure timely progress toward the degree, this course should be taken as soon as possible after completion of Mathematics 2513.
Prerequisite: Mathematics 2513, or equivalent

3301   Linear Algebra (3-0). The algebra and geometry of finite dimensional vector spaces; determinants; linear transformations and matrices; characteristic values and vectors of linear transformations. (Credit may not be earned for both this course and Computational and Applied Mathematics 3301.)
Prerequisite : Mathematics 2513 or equivalent. (Credit may not be earned for both this course and Computational and Applied Mathematics 3301.)

3305 Discrete Mathematics II (3-0). Graphs, matrices, computational methods, and other discrete structures. (Credit may not be earned for both this course and CAM 3305.)
Prerequisite: MATH 2305 or CAM 2305. (Credit may not be earned for both this course and CAM 3305.)

3307  Probability and Statistics I (3-0). Mathematical models of random processes; probability spaces; random variables; dependence and independence; mean values and moments of random variables; density and distribution functions; laws of large numbers. (Credit may not be earned for both this course and CAM 3307.)
Prerequisite: Mathematics 2305 or Computational and Applied Mathematics 2305; and Mathematics 3514. (Credit may not be earned for both this course and CAM 3307.)

3310 Introduction to Problem Solving (3-0). Designed to help the student develop analytical skills through exposure to a variety of problem solving techniques utilizing algebra, geometry, trigonometry, and other areas of precalculus mathematics. Includes graphing calculator and instructional software applications. For students pursuing secondary or middle school teacher certification in mathematics. To ensure timely progress toward the degree, this course should be taken as soon as the prerequisites have been completed.
Prerequisites: Mathematics 1302 and 1303; or Mathematics 1561.

3311 Elementary Number Theory (3-0). Tests for divisibility, unique factorization, integer representations, greatest common divisors, least common multiples, congruences, and the distribution of primes.
Prerequisites: Mathematics 1302, 1341, and 1342.

3313 The Evolution of Mathematics (3-0). Historical development of selected mathematical concepts, terminology and algorithms; impact of mathematics on the development of our culture.
Prerequisites: Mathematics 1302, 1341, and 1342.

3315  Vector Calculus (3-0). Calculus of vector-valued functions including differentiation, integration; line, surface, and volume integrals; gradient, divergence, and curl; integral theorems; applications. (Credit may not be earned for both this course and CAM 3315.)
Prerequisite: MATH 3514. (Credit may not be earned for both this course and CAM 3315.)

3321  Statistics (3-0). A survey of statistical methods including distribution, central tendency, variability, inferential procedures for two or more populations; one-way ANOVA, inferential methods for regression and correlation.
Prerequisite: Mathematics 1302, 1324, 1333, or 1561.

3323 Exploring Middle School Mathematics (3-0). Mathematical reasoning and problem solving; numerical systems, structure, operations, and algorithms; patterns, relations and functions, algebraic concepts and applications; geometry, measurement, and spatial reasoning; probability and statistics. Graphing calculators and other supporting technologies will be incorporated where appropriate. For students pursuing middle school certification in mathematics.
Prerequisites: Mathematics 1302, 1303, 1312, 1341, 1342, 3310, 3311, 3321 and 4321; 2.50 GPA, with no grade lower than “C” in all required mathematics courses attempted, cumulative and in residence; admission to the Educator Preparation Program.

3333  Calculus III (3-0). Multivariate calculus and applications; multiple integrals, infinite series, and approximation techniques.
Prerequisites: Mathematics 2332.

3335 Differential Equations (3-0). Solution of differential equations, with geometric and physical applications. (Credit may not be earned for both this course and Computational and Applied Mathematics 3335.)
Prerequisite: Mathematics 3514. (Credit may not be earned for both this course and Computational and Applied Mathematics 3335.)

3514  Calculus II (5-0). Integration of functions of one variable and applications of the integral to physical and geometrical problems. Differentiation and integration of polar curves and parametric equations. Differentiation and interation of functions of several variables. Infinite series and approximation techniques.
Prerequisite: Mathematics 2513 or equivalent.

4171, 4271, 4371 Internship. Supervised internship with an approved cooperating business or government agency encompassing duties directly related to the mathematical sciences. Grading will be on a pass/fail basis. May be repeated for credit.

4181 Seminar in Mathematics (1-0). Presentations and discussions on selected topics to encourage an exchange among mathematics majors and faculty members. May be taken at most twice for credit.
Prerequisite: Departmental approval.

4301 Abstract Algebra (3-0). Elementary number theory including integer congruences and modular arithmetic, equivalence relations, basic topics in ring and group theory including the fundamental homorphism theorems, structure and basic properties of fields.
Prerequisite: Mathematics 3300 or 3310; Mathematics 2513.

4311 Numerical Analysis (3-0). Number representations, error analysis; roots of equations; numerical integration, approximation, and differentiation; systems of equations; approximation by spline functions; ordinary differential equations; Monte Carlo methods and simulation. (Credit may not be earned for both this course and Computational and Applied Mathematics 4311.)
Prerequisites: Mathematics 3514; Computer Science 1361 or Computational and Applied Mathematics 1361, or equivalent. (Credit may not be earned for both this course and Computational and Applied Mathematics 4311.)

4321 College Geometry (3-0). A study of Euclidean, non-Euclidean, and transformational geometry. For students seeking middle school or secondary school teacher certification in mathematics.
Prerequisites: Mathematics 1302 and 1303; or Mathematics 1561.

4322 A Survey of Mathematics with Applications (3-0). Logic and set theory, algebraic and transcendental functions, inverse functions, limits, the derivative and integral, sequences and series, linear systems, vectors, geometry, probability and statistics. Emphasis on applications utilizing the graphics calculator.
Prerequisites: Mathematics 1561, 2305, 2513, 3301, 3307, 3310, 3514, 4321; either Mathematics 4301, 4331, or 4351; 2.50 GPA, with no grade lower than C in all required mathematics courses attempted, cumulative and in residence; admission to the Educator Preparation Program.

4331 Analysis (3-0). The real and complex number systems, Euclidean spaces, countable and uncountable sets, metric spaces, compactness, convergent sequences, Cauchy sequences, limits and continuity, uniform continuity, the derivative, the Riemann-Stieltjes integral, sequences and series of functions, uniform convergence.
Prerequisites: Mathematics 3300 or 3310; Mathematics 2513.

4335 Partial Differential Equations (3-0). A survey of partial differential equations, including classification, qualitative features, methods of solution, and applications. ( Credit may not be earned for both this course and Computational and Applied Mathematics 4335.)
Prerequisite: Mathematics 3514, Mathematics 3335 or Computational and Applied Mathematics 3335. ( Credit may not be earned for both this course and Computational and Applied Mathematics 4335.)

4345 Topics in Applied Mathematics (3-0). Selected topics in applied mathematics.(May be repeated for credit when the topic varies. (Credit may not be earned for both this course and CAM 4345.)
Prerequisite: Consent of the instructor. (Credit may not be earned for both this course and CAM 4345.)

4351 Topology (3-0). Sets and functions, metric spaces, topological spaces, compactness, separation, connectedness, approximation.
Prerequisites: Mathematics 3300 or 3310; Mathematics 2513.

4355 Topics in Abstract Mathematics (3-0). Selected topics from number theory, field theory, or other areas of higher mathematics, with an emphasis on understanding and constructing proofs of theorems. (May be repeated for credit when the topic varies.)
Prerequisite: Consent of the instructor.

4361 Complex Variables (3-0). Complex numbers, analytic functions, complex integration, power series, residues, conformal mapping, and applications. (Credit may not be earned for both this course and CAM 4361.)
Prerequisite: Mathematics 3514. (Credit may not be earned for both this course and CAM 4361.)

4391 Research. Individual research problems. (May be repeated to a total of six semester hours credit.)
Prerequisite: Junior standing.


  Anticipated Mathematics Course Schedule