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Mathematics Course Descriptions

MTH 099 Pre-Algebra 3 hours
Term: fall, winter, 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: fall, winter, 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 Mathematics for Health Careers 4 hours
Prerequisites: MTH 099 with a C or better; Term: fall, winter
Applies basic mathematical skills in calculations required for the usual dosage determinations, as well as solution preparations using weight, metric, household, and apothecary systems.

MTH 105 Intermediate Algebra 4 hours
Prerequisite: MTH 100 or one year high school algebra; Term: fall, winter, 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: fall, winter, 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: fall, winter
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: winter
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: fall, 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: fall
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 winter
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: winter
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: fall
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: winter
Ratio and proportion, percents, representing and interpreting data, centers and spreads of distributions, concepts related to chance, basic concepts of geometry, congruence, transformations, symmetry and tessellations, similarity, perimeter, area, volume, and explorations.

MTH 325 Probability and Statistics 3 hours
Prerequisite: MTH 110; Term: fall, summer
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: winter, offered alternate years [odd]
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: winter
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: winter, 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: fall, 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 380 Abstract Algebra 3 hours
Prerequisite: MTH 265; Term: winter, offered alternate years [odd]
An introduction to topics and applications of abstract algebra which includes an intensive study of fundamental algebraic structures such as groups, rings, and fields. This course also serves as an introduction to theoretical mathematics and proof writing. Methods of proof utilized will include direct proof, proof by contradiction, proof by induction, and proof by cases. The course is writing-intensive and designed to develop mathematical maturity.

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: fall
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: winter
The mathematical problem researched in MTH 496A is brought to a conclusion. An oral presentation and a final research paper are required.