Mathematics Course Descriptions

Description

MTH 099                              Pre-Algebra                                                                                                        3 hours
Term: 1‚ 2, summer; Fee: yes
Basic principles and operations of arithmetic‚ elementary algebra‚ informal geometry‚ systems of measurement, and problem solving techniques to enable students to develop the ability to understand and use basic mathemati­cal methods. Credit in this course does not count toward graduation. Must be completed with at least a C-.

MTH 100                              Algebra                                                                                                               3 hours
Prerequisites: MTH 099 with a grade of C- or better, or placement recommendation; Term: 1, 2, summer; Fee: yes
Linear equations and inequalities and their graphs, systems of two equations in two unknowns, quadratic equa­tions, factoring, elementary operations with polynomials‚ rational expressions, exponents and radicals, and word problems. This course may not be used to fulfill general education requirements.

MTH 103                              Health Science Mathematics                                                                            3 hours
Prerequisites: MTH 099 with a grade of C- or better; Term: 2; Fee: no
This course will provide the mathematics skills used in allied health fields. Topics include operations with fractions and decimals, measurement systems, percents, ratios and proportions, drug calculations, and IV flow rates.

MTH 103 L                         Health Science Mathematics Recitation                                                            1 hour
Prerequisites: Completion of MTH 103 with a grade of C or better; Term: 2; Fee: no
Co-requisite: Enrollment in MTH 103
This course will provide extended application of MTH 103.

MTH 105                              Intermediate Algebra                                                                                         4 hours
Prerequisite: MTH 100 or one year high school algebra; Term: 1, 2, summer.
Real numbers, operations with polynomials and rational expressions, factoring, rational exponents and radicals, first degree equations and inequalities, quadratic equations, systems of equations, logarithms, scientific notation and applications.

MTH 110                              Elementary Functions                                                                                        4 hours
Prerequisites: MTH 105 or two years high school algebra, department approval; Term: 1, 2, Summer
Elementary functions, their graphs and applications using a graphing calculator, analytical geometry, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions, trigonometric identities, sequences and series, and the binomial theorem. Designed as a pre-calculus course.

MTH 251                              Calculus I                                                                                                            4 hours
Prerequisites: MTH 110 or two years of high school algebra, one year high school geometry, one-half year of trigonometry; Term: 1, 2
Analytic geometry in the plane, functions, limits and continuity, derivatives and applications, and indefinite inte­grals and applications.

MTH 252                              Calculus II                                                                                                           4 hours
Prerequisite: MTH 251; Term: 2
Exponential and logarithmic functions, trigonometric and inverse trigonometric functions, techniques of integration, indeterminate forms, improper integrals, Taylor’s formula, and infinite series.

MTH 254                              Calculus III                                                                                                          4 hours
Prerequisite: MTH 252; Term: 1, offered alternate years [odd]
Polar coordinates, vectors, vector-valued functions, three dimensional analytic geometry, partial derivatives, and multiple integration.

MTH 265                              Discrete Mathematics                                                                                         3 hours
Prerequisite: MTH 110; Term: 1
Sets, functions, algorithms, mathematical induction, counting methods, permutations and combinations, recur­rence relations, Boolean algebra, relations, and matrices. Writing intensive course for math majors.

MTH 270                                     Graph Theory                                                                                                3 hours
Prerequisite: MTH 110; Term 2
An introduction to topics and applications of graph theory. Graph theory topics are selected from the following: paths, cycles, circuits, Eulerian circuits, Hamiltonian cycles, generalized pancyclicity, forbidden subgraphs, connectivity, trees, social networks, planarity, graph colorings, directed graphs, modeling. Additionally, the course includes an introduction to set theory, and methods of proof (direct proof, proof by contradiction, proof by cases, proof by induction).

MTH 300                              College Geometry                                                                                                3 hours
Prerequisite: MTH 110; Term: 2
Properties of geometric figures, proofs, constructions, solving applied problems, use of coordinate geometry and transformation geometry, and Euclidean and non-Euclidean geometry.

MTH 310                              Concepts in Elementary Mathematics I                                                             3 hours
Prerequisite: MTH 105; Term: 1
Foundations for learning mathematics, sets, algebraic thinking, numeration, fundamental operations of arithmetic, estimation, number theory, integers, rational numbers, real numbers, and explorations.

MTH 311                              Concepts in Elementary Mathematics II                                                             3 hours
Prerequisite: MTH 310; Term: 2
Ratio and proportion, percents, representing and interpreting data, centers and spreads of distributions, concepts related to chance, basic concepts of geometry, congruence, trans-formations, symmetry and tessellations, similar­ity, perimeter, area, volume, and explorations.

MTH 325                              Probability and Statistics                                                                                     3 hours
Prerequisite: MTH 110; Term: 1
Sample spaces, probability of events, random variables, counting techniques, descriptive statistics, binomial and normal distributions, confidence intervals, and hypothesis testing.

MTH 330                              Teaching Probability and Statistics in Grades K – 8                                         4 hours
Prerequisite: MTH 325; Math Major or Minor for Elementary Teaching; Term: Summer
Statistical graphs, centers and spreads of distributions, appropriate statistical software and student activities, explorations and investigations, and current issues in mathematics education.

MTH 347                              Methods in Teaching Secondary Mathematics                                                  3 hours
Prerequisites: EDU 240, EDU 241, EDU 347, Math major or minor, junior or senior standing; Term: 2
Philosophical basis for mathematics teaching, survey of special programs in mathematics, specific objectives, materials and curriculum planning for mathematics in middle and secondary schools, emphasis on role of problem solving in mathematics teaching. Observations of classroom teaching. Course offered as needed.

MTH 353                              Linear Algebra                                                                                                       3 hours
Prerequisite: MTH 251; Term: 2, offered alternative years [even]
Matrices, linear systems, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, and applications.

MTH 371                              Differential Equations                                                                                           3 hours
Prerequisite: MTH 252; Term: 1, offered alternative years [even]
Differential equations of the first order and first degree, as well as their applications, linear dependence and inde­pendence, linear differential equations of order two and higher, series solutions of linear differential equations, and systems of linear differential equations.

MTH 388                              Cooperative Field Experience                                                                              1-4 hours
Prerequisites: Departmental approval, junior standing
Supervised work experience in activity related to area of specialization, which is planned in consultation with advi­sor, co-op supervisor and employer. Recording, reporting, and evaluation of experience will be required.

MTH 491                              Independent Study                                                                                                 1-4 hours
Prerequisites: Permission of instructor, mathematics major, junior or senior status; Term: 1,2
In-depth study of a student-selected topic in consultation with a faculty member.

MTH 496A                         Senior Seminar: Library Research                                                                          2 hours
Prerequisites: Senior standing in the major; completion of general education and writing requirements; completion of preliminary summer library research project; Term: 1
Investigation of a significant mathematical problem with the direction of a faculty member. Use of computer for library informational searches, scientific writing, data analysis and word processing. Oral presentation and paper required. If you intend to take MTH 496A, you must inform the department in the preceding winter semester.

MTH 496B                         Senior Seminar: Conclusion                                                                                    2 hours
Prerequisite: MTH 496A; Term: 2
The mathematical problem researched in MTH 496A is brought to a conclusion. An oral presentation and a final research paper are required.

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