# Mathematics Courses

A course designed to develop an understanding of the mathematical concepts supporting topics taught at the elementary level. Central to these is the number sense required to teach basic operations (addition, subtraction,multiplication and division) with non-negative integers. Fractions, decimals, mental calculation and estimation are also considered. Students will use visualization, diagrams,manipulatives, and engaging in mathematical conversation to explore alternative ways of understanding and communicating required concepts. This course does not satisfy the mathematics requirement of the General Education Core.

A course designed to develop a transition from high school expectations to the study of mathematics at the collegiate level made easier through the use of the TI-84+ graping calculator as an aid to understanding of mathematical concepts. Critical thinking will be a central theme woven through the concepts of number sense; using percents to show change and comparison; solving simple equations through the application of interest, discount, and sales price; and introductory algebra including applications of linear and quadratic functions. This course will be waived if the student’s mathematical preparation is sufficient. Students who have received credit for a higher level mathematics may not take this course.

This is an enriched college algebra course supported by structured activities to promote student success. The concept of functions and their properties form a central theme. Multiple representations of function properties are made possible through the use of the TI-84+ graphing calculator. Polynomial, quadratic, exponential, and logarithmic functions are considered. The course also includes an introduction to matrices as a method of solving systems of equations and the study of descriptive statistics in order to interpret data and make informed decisions. Students may not receive credit for both MTH 140 and MTH 141.

The concept of functions and their properties form a central theme. Multiple representations of function properties are made possible through the use of the TI-84+ graphing calculator. Polynomial, quadratic, exponential, and logarithmic functions are considered. The course also includes an introduction to matrices as a method of solving systems of equations and the study of descriptive statistics in order to interpret data and make informed decisions. Students may not receive credit for both MTH 140 and MTH 141.

This is an enriched pre-calculus course supported by structured activities to promote student success. The concept of functions and their properties form a central theme. Multiple representations of function properties are made possible through the use of the TI-84+ calculator. Polynormal, quadrantic, rational, exponential, logarithmic and trigonometric functions are considered. In addition MTH 160 includes an overview of matrices as a method of solving systems of equations and an introduction to limits and tangent lines. Students may not receive credit for both MTH 160 and MTH 161.

The concept of functions and their properties form a central theme. Multiple representations of function properties are made possible through the use of T1-84+ graphing calculator. Polynomial, quadrantic, rational, exponential, logarithmic and trigonometric functions are considered. In addition, MTH 161 includes an overview of matrices as a method of solving systems of equations and an introduction to limits and tangent lines. Students may not receive credit for both MTH 160 and MTH 161.

This course covers the methodology of organizing, summarizing, and presenting statistical data. Students calculate and interpret the measures of central tendency and dispersion and are introduced to probability and distribution theory (Normal, Binomial, Poisson). They use distribution and sampling theory to make statistical inferences.

Basic theory of differential calculus through the concepts of limits and continuity are the goals of this course. Necessary analytic geometry is developed as required. Algebraic and trigonometric functions, curve sketching and applications to real world problems (including maximum/minimum problems). The Mean Value Theorem, and its consequences are covered.

This is an introduction to the integral calculus and its application to the solution of real world problems. Integration of exponential, logarithmic and trigonometric functions, techniques of integration, and an introduction to differential equations are covered.

The study of calculus is continued through sequences and series, multivariable functions and their derivatives, multiple integrals and vector valued functions, Green’s Theorem, and Stokes’ Theorem. Applications using the graphing calculator are included.

The focus of this course is the solution of differential equations. Topics include: separation of variables, homogeneous equations, integrating factors, linear and higher order equations and applications via classical and computer based methods.

This is an axiomatic approach to geometry which compares various analyses of Euclid’s fifth postulate resulting in non-Euclidian geometries. Several finite geometries are studied.

Topics in this course include: elementary set theory, permutations and combinations, discrete functions, relations and graphs, trees, counting procedures and Boolean Algebra. Application of these topics in computer science will be covered.

This is a study of the development of concepts and tools used in abstract mathematics. Emphasis is on writing proofs, logic, set theory, formal axioms ystems, and the real number system from an axiomatic point of view.

This is a course in the abstract mathematics sequence. Topics include: systems of linear equations, matrices, vectors, linear transformations, bases, linear independence, orthogonality, eigenvectors and eigenvalues.

This is the final course in the abstract mathematics sequence. Topics include: groups, rings, fields, integral domains, isomorphisms, homomorphisms, sub group structure of finite groups.

This course is a rigorous treatment of the basic concepts of calculus including limits, continuity, differentiation, and the Riemann integral. Properties of the real number system, and extensions of the Mean Value Theorem are also considered.