Mathematics

In this course, students will develop the basic numeration and computation skills needed for more complex mathematics. Topics may include: positive and negative number, exponents, order of operations, fractions, word problems, equations, and polynomials. The course consists of web-based activities such as embedded tutorials, practice exercises, multimedia aids, and other resources to enhance basic mathematical skills. This course will be graded on Pass/Fail basis. Corequisite: MTH 105.

The goal of this survey course is to develop competence in analytical reasoning, problem solving, and multi-step decision making as well as exposing students to some current trends in mathematical thought. The emphasis is on mathematical reasoning and the solving of real-life problems involving mathematics. The course covers counting techniques and probability, topics in geometry, and financial/consumer mathematics. Additionally, one to three of the following topics will be covered: graph theory, logic/set theory, linear programming, game theory, or elementary number theory. Three hours of lecture and up to one hour of additional recitation per week. Prerequisite or Corequisite: MTH 100 or placement beyond. This course does not count for any math or natural science major or minor program. This course fulfills the Mathematics requirement in the General Education Curriculum.

In this course, students will learn about mathematics in a wide variety of Olympic and non-Olympic sports. Basic computations include QB rating in football, scoring in bowling, games behind in basketball and baseball, and plus-minus in hockey. Sports trends like discus throw distance and basketball scoring after the shot clock was instituted are investigated, with Excel plots of such data and calculation of a regression line. Comparative analyses of sports for home advantage, professional speeds achieved by balls, pucks, and other objects, and sizes of playing fields and equipment are made. The Excel spreadsheet is used, but previous work with Excel is not required. The course fulfills the Mathematics requirement in the General Education for non-education majors. Cannot be used for the General Education math requirement for education majors.

Further study of topics in algebra, including linear and quadratic equations; functions, relations, and their graphs; polynomials and rational functions; exponentials and logarithmic functions; systems of linear equations; and applications. Prerequisite: MTH 108; a math ACT score of 22 or higher; or placement by examination. This course fulfills the Mathematics requirement in the General Education Curriculum.

A study of concepts and applications of circular and trigonometric functions including identities, graphs, and inverses of trigonometric functions; circular motion; solutions of triangles and trigonometric equations; vectors and components; and polar coordinates. Three hours of lecture and up to one hour of additional recitation per week. Prerequisites: MTH 113; a math ACT score of 22 or higher; or placement by examination.

A study of plane and solid geometry, including properties of triangles, quadrilaterals, regular polygons, and circles, and congruence, similarity, area, volume, and transformations and symmetry. Prerequisite: MTH 105 or placement by beyond.

This is a combined course of precalculus algebra and trigonometry. The course emphasizes problem-solving, analytical thinking, and real-world applications of mathematical concepts. Students will engage in mathematical modeling and apply mathematical concepts to real-world situations. Further study of topics in algebra including: linear and quadratic equations; functions, relations and their graphs; polynomials and rational functions; exponentials and logarithmic functions; systems of linear equations. A study of concepts and applications of circular and trigonometric functions, including identities, graphs, and inverses of trigonometric functions, circular motion, solutions of triangles and trigonometric equations, vectors and components, and polar coordinates. This course fulfills the Mathematics requirement in the General Education Curriculum. Prerequisite: MTH 108; a math ACT score of 22 or higher; or placement by examination.

A study of functions, including exponential and logarithmic functions, limits and continuity, derivatives, indeterminate forms, and an introduction to indefinite and definite integrals. Applications to finding tangent lines, solving maximum and minimum problems, solving related rate problems, and finding areas and Riemann sums Four hours of lecture and up to one hour of additional recitation per week. Prerequisites: MTH 113 and MTH 114 or MTH 116 or ACT Score of 25 or higher or placement by examination. This course fulfills the Mathematics requirement in the General Education Curriculum.

A study of the basic concepts of probability and statistics including permutations, combinations, binomial distributions, and standard deviations, with emphasis on interpretations and hypothesis testing. Prerequisite: MTH 105, MTH 106, MTH 108, MTH 113, MTH 116, or MTH 121. Cannot be used for the Mathematics Minor.

A study of applications of the integral to finding volumes, arc lengths, surface areas, and centroids, techniques of integration, infinite sequences and series, Taylor series. A computer algebra system may be used. Four hours of lecture and up to one hour of additional recitation per week. Prerequisite: MTH 121.

A study of the elements of sets, set operations, mathematical induction, basic counting techniques, and recurrence relations. Prerequisite: MTH 113 or higher.

A basic investigation of mathematics of basic map projections and travel itineraries; familiar puzzles such as Sudoku, the traingular peg puzzle, Rubik's Cube, and jigsaw puzzles; and board games such as Yahtzee, Risk, Monopoly, and others. Students demonstrate the solving of the Rubik's Cube using open notes as well as the other puzzles. Meets with MTH 481. Prerequisite: MTH 105, MTH 113, or MTH 121. Cannot be taken if student has already passed MTH 481. May fulfill requirements for the Mathematics minor, but not the Mathematics major.

An investigation of basic math topics in past and contemporary television shows and episodes. Topics may include basic mathematics used by Charlie Eppes in the TV Show NUMB3RS as he assists the FBI in solving crimes, as well as basic mathematics in specific episodes of Futurama, The Big Bang Theory, The Price is Right, and other shows. Students also identify and discuss key math ideas present in episodes and give a final presentation based on a basic math idea from any television show episode. Meets with MTH 482. Prerequisite: MTH 105, MTH 113, or MTH 121. No credit for students with credit in MTH 482. May fulfill requirements for the Mathematics minor but not the Mathematics major.

A study of a selected topic of special interest. The topic may differ each time the course is offered and may be proposed by either the instructor or by the student. May be taken for credit any number of times, provided a different topic is offered each time. Prerequisite: Consent of Instructor.

Individual basic study of a selected topic in mathematics, under the direction of a member of the faculty. Normally open only to students who have completed all regularly offered courses in the mathematics major. Prerequisites: Consent of the Instructor, Division Chair, and Dean of the College of Arts and Sciences.

An introduction to abstract mathematics and proofs by means of a study of selected topics in elementary number theory. Prerequisite: MTH 222 or a prerequisite of MTH 251 and a corequistite of MTH 222.

A chronological presentation of the development of the science of mathematics, with emphasis placed on the significant problems, inconsistencies, and discoveries that led to the growth of the field of mathematics. Prerequisite: MTH 321.

Functions, limits, continuity, differentiation, and integration of functions of a complex variable are examined. Also, contour integration and applications to physics and mechanics are presented. Prerequisite: MTH 321.

Algorithms for the solution of numerical problems implemented on micro-computers; includes discussion of error, polynomial interpolation, solution of nonlinear equations, and numerical integration. Prerequisite: MTH 222.

A study of parametric and polar coordinates, vectors in the plane, algebra and calculus on curves and surfaces in space, spherical coordinates, partial derivatives, and multiple integrals, and one or more of the following theorems: Green's theorem, Stokes theorem, and divergence theorem. A computer algebra system may be used. Four hours of lecture and up to one hour of additional recitation per week. Prerequisite: MTH 222.

A study of simple types of ordinary differential equations of various orders and their algebraic and geometric solutions, Laplace transforms, systems of differential equations, and applications. Prerequisite: MTH 222.

This calculus-based course will include methods in enumeration, discrete and continuous random variables; conditional and independent probability; mathematical expectation, mean, variance and standard deviation; distributions and hypothesis testing. Prerequisite: MTH 121. Recommended Co/Prerequisite: MTH 222.

A study of vector spaces, linear equations, linear transformations, matrices, determinants, and geometric applications of these concepts. Prerequisite: MTH 222.

A study of advanced topics in plane and solid geometry. Topics may include, but are not limited to, methods of proof, constructions, loci, elementary transformations, introduction to non-Euclidean geometry, and introduction to projective geometry. Prerequisite: MTH 303.

A study of abstract binary operations, groups, rings, and fields. Prerequisite: MTH 303 or consent of the Instructor.

An advanced investigation of mathematics of basic map projections and travel itineraries; familiar puzzles, such as Sudoku, the triangular peg puzzle, Rubik's Cube, and jigsaw puzzles; and board games such as Yahtzee, Risk, Monopoly, and others. Students demonstrate the solving of the Rubik's Cube from memory as well as the other puzzles. Meets with MTH 281. Prerequiste: MTH 222. No credit for students with credit in MTH 281.

An investigation of advanced math topics in past and contemporary television shows and episodes. Topics may include basic mathematics used by Charlie Eppes in the TV show NUMB3RS as he assists the FBI in solving crimes, as well as basic mathematics in specific episodes of Futurama, The Big Bang Theory, The Price is Right, and other shows. Students also identify and discuss key math ideas present in episodes and give a final presentation based on an advanced math idea from any television show episode. Meets with MTH 282. Prerequisite: MTH 222. No credit for students with credit in MTH 282.

A study of a selected topic of special interest. The topic may differ each time the course is offered and may be proposed by either the Instructor or by students. Prerequisite: MTH 321

Study of a variety of mathematical topics of interest to instructor and students, with active student participation emphasized. Prerequisites: Senior standing, Mathematics major, and consent of the Instructor.

Individual advanced study of a selected topic in mathematics, under the direction of a member of the faculty. Normally open only to students who have completed all regularly offered courses in the mathematics major. Prerequisites: Consent of the Instructor, Division Chair, and Dean of the College of Arts and Sciences.

Please plan credits to fulfill a total of 9 hours of electives from Mathematics at 300-400 levels. Once you have added this course to your plan, delete this placeholder by clicking the X.

Please plan credits to fulfill a total of 6 hours of electives from Mathematics at 200-400 levels. Note: MTH 200 Elementary Probability and Statistics cannot be used to fulfill a Math Minor requirement. Once you have added this course to your plan, delete this placeholder by clicking the X.

Please plan to take CS 222 or PHY 223. Once you have added this course to your plan, delete this placeholder by clicking the X.

General Education Curriculum Mathematics requires one course from the following: MTH 105 Contemporary Math, MTH 113 Precalculus Algebra, or MTH 121. Once you have added this course to your plan, delete this placeholder by clicking the X.

Plan MTH 200 or SSC 285. Once you have added this course to your plan, delete this placeholder by clicking the X.