College of Arts and Sciences
123 Mathematics in Our Modern World (3)
An introduction to the nature and techniques of mathematics for nontechnical majors. Applications of mathematics to the solution of historical and modern problems will be discussed by selecting topics from the mathematics of finance, the laws of growth and symmetry, graph theory and management science, or the mathematics of social choice and voting schemes. Every semester. Prerequisites: UTC Math Placement Level 20 or Math 106 with minimum grade of C.
131 College Algebra (3)
This precalculus course is designed primarily for students majoring in business, the life sciences, or the social sciences who intend to take the calculus course Math 136. Topics include polynomial functions, exponential and logarithmic functions, arithmetic and geometric sequences, mathematics of finance, growth and decay, systems of linear equations, matrices, and geometric linear programming. Mathematical models will be taken primarily from the fields of business, biology, and the social sciences. Every semester. Prerequisites: UTC Math Placement Level 20 or Math 106 with minimum grade of C. Credit not allowed in Math 131 after completion of Math 136 or 144 with a grade of C or better or any other mathematics course for which these are prerequisites. Credit not allowed in both Math 131 and 144.
136 Calculus for Management, Life, and Social Sciences (3)
Introduction to calculus: limits, differentiation of functions, optimization, marginal analysis, integration, the Fundamental Theorem of Calculus, applications of integration. Every semester. Prerequisites: UTC Math Placement Level 30 or Math 131 or 144 with minimum grade C. Credit not allowed in 136 after completion of Math 150 or 151 with a grade of C or better.
144 Precalculus I (3)
This precalculus course is designed primarily for students majoring in Mathematics, the physical sciences, and Engineering who intend to take Math 145, Precalculus II, and the calculus courses Math 151/152. Topics include solving polynomial equations and inequalities; complex numbers; the Fundamental Theorem of Algebra; rational functions; graphing techniques; functions; exponential and logarithmic functions; mathematical induction. Mathematical models will be taken primarily from the fields of engineering, biology, and natural sciences. Every semester. Prerequisites: UTC Math Placement Level 20 or Math 106 with minimum grade of C. Credit will not be allowed in Math 144 after Math 136, 145, 150, or 151 with a grade of C or better. Credit not allowed in both Math 131 and 144.
145 Precalculus II (3)
This precalculus course is designed primarily for students majoring in Mathematics, the physical sciences, and Engineering who intend to take the calculus course Math 151/152. Topics include solving trigonometric identities, and equations; complex numbers; conic sections; sequences; and other selected topics. Every semester. Prerequisites: UTC Math Placement Level 30 or Math 144 or 131 with minimum grade of C. Credit will not be allowed in Math 145 after 150 or 151 with a grade of C or better. Students wishing to use Math 131 as a prerequisite must secure the approval of the Mathematics Department.
151 Calculus I (3)
The calculus of functions of one real variable for majors in Mathematics, the physical sciences, and Engineering. Precise definitions of limits, derivatives, and integrals including Riemann sums; applications of these concepts and the Fundamental Theorem of Calculus. Every semester. Prerequisites: UTC Math Placement Level 40 or Math 145 with a minimum grade of C. Corequisite: Math 152.
152 Calculus I Laboratory (1)
Calculator and computer treatment of problems and topics in Math 151 using graphical, numerical, and symbolic methods. Laboratory, 2 hours. Pre-or Corequisite: Math 150 or 151.
155 Honors Calculus (4)
Calculus of functions of one variable with applications; historical, biographical, philosophical material. Fall semester. Prerequisite: University Honors Scholar, others by consent of the department head. Credit not allowed in both Math 150 or 151 and 155 or in 136 after 155. May be substituted for Math 151 in meeting all requirements.
161 Calculus II (3)
Additional topics in the calculus of functions of one real variable. Applications of integration, techniques of integration, infinite series, and convergence tests. Every semester. Prerequisites: Math 151 with a grade of C. Corequisite: Math 162.
162 Calculus II Laboratory (1)
Calculator and computer treatment of problems and topics in Math 161 using graphical, numerical, and symbolic methods. Laboratory, 2 hours. Prerequisites: Math 152 with a minimum grade of C. Pre- or Corequisite: Math 160 or 161.
199r Special Projects (1-4)
Individual or group projects. On demand. Maximum credit 4 hours.
203 Discrete Mathematics for Computer Science (3)
Designed primarily for students majoring in computer information systems. topics will include logic, introduction to mathematical induction, sets, relations, counting methods, graph theory and trees. Prerequisites:Mathematics 136 or 151/152 with minimum grades of C; Computer Science 150. Credit not allowed in this course after completion of Mathematics 303 or 403 with a grade of C or better.
210 Introductory Statistics (3)
An introductory course suitable for students in a variety of disciplines. This course will teach students to interpret, develop, and use statistical and probabilistic models of real world phenomena; develop the concepts of uncertainty, probability, and statistical significance; and will indicate how these concepts arose and how they aid our understanding of the universe. Students will learn how to solve practical problems using statistical vocabulary, notation, and appropriate technology. Every semester. Prerequisites: UTC Math Placement Level 20 or Math 106 with minimum grade of C. Credit not allowed in Math 210 after completion of any other General Education statistics course with a grade of C or better.
212 Elementary Linear Algebra (3)
Systems of linear equations, matrix algebra, determinants, geometric vectors, vector spaces, linear transformations, eigenvalues and eigenvectors, inner product spaces. Every semester. Prerequisite: Math 150 or 151 with a minimum grade of C.
214 Principles of Elementary Mathematics (4)
Designed primarily for presecondary education majors to develop a thorough understanding of and ability to use basic mathematics including arithmetic, algebra, geometry, and measurements. Mastery of elementary and middle school mathematics must be demonstrated. Every semester. Lecture 3 hours, laboratory 2 hours. Prerequisite: (a) UTC Math Placement Level 30 or above or a grade of C or above in any General Education Mathematics course; (b) pre- or corequisite: a general education statistics course.
245 Introduction to Differential and Difference Equations (3)
First order and second order linear differential and difference equations, systems of equations and transform methods. Every semester. Prerequisite: Math 160 or 161 with a minimum grade of C. Pre- or Corequisite: Math 212 with a minimum grade of C.
255 Multivariable Calculus (3)
Lines, curves, and surfaces; partial derivatives, gradients, divergence and curl; multiple integrals and vector analysis. Every semester. Prerequisites: Math 160 or 161 and 212 with minimum grades of C.
300 Foundations of Mathematics (3)
Introductory concepts of sets, functions, equivalence relations, ordering relations, logic, methods of proof, and axiomatic theories with topics from combinatorics, graph theory, or abstract algebra. Fall and spring semesters. Prerequisite: Math 160 or 161 and 162 with minimum grade of C. This course is a prerequisite for Math 321, 350, 403, 410, 412, 422, 430 and 452. Mathematics majors should enroll in it at the end of the sophomore year or beginning of the junior year.
303 Discrete Structures (3)
Concepts and techniques of several areas of discrete mathematics with emphasis on areas often applied to computer science. Topics will include induction, algorithms, combinatorics, graph theory with emphasis on trees, formal language, grammars. Fall and spring semesters. Prerequisites: Math 161/162 and Computer Science 150 with minimum grades of C. Credit not allowed on both Math 303 and 403.
307 Applied Statistics (3)
Introduction to probability and statistical methods with applications to various disciplines. A study of some basic statistical distributions, sampling, testing of hypotheses, and estimation problems. Fall and spring semesters. Prerequisite: Math 160 or 161 with minimum grade of C. Credit not allowed in both Math 307 and 407-408.
