# Mathematics Courses

MTH 130

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.

1.00 c.u.
Gen Ed Math
MTH 140

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. Students may not receive credit for both MTH 140 and MTH 141.

1.00 c.u.
Prerequisites: MTH 130 Transition to Collegiate Mathematics
Or placement by the math coordinator
Gen Ed Math
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. Students may not receive credit for both MTH 140 and MTH 141.

1.00 c.u.
SAT score of 550 or higher or placement by the math coordinator.
Gen Ed Math
MTH 160

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, quadratic, 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.

1.00 c.u.
Prerequisites: MTH 130 Transition to Collegiate Mathematics
Or placement by the math coordinator
Gen Ed Math
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, quadratic, 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.

1.00 c.u.
SAT score of 550 or higher or placement by the math coordinator
Gen Ed Math
MTH 200

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.

1.00 c.u.
Prerequisites: MTH 140 College Algebra: Enhanced , MTH 141 College Algebra , MTH 160 Precalculus: Enhanced , MTH 161 Precalculus
Problem Solving/Critical Thinking
MTH 221

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.

1.00 c.u.
Prerequisites: MTH 160 Precalculus: Enhanced , MTH 161 Precalculus
With a grade of C or higher
Education Co-Concentration, Problem Solving/Critical Thinking
MTH 222

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.

1.00 c.u.
Prerequisites: MTH 221 Calculus and Analytic Geometry I
Education Co-Concentration
MTH 223

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.

1.00 c.u.
Prerequisites: MTH 222 Calculus and Analytic Geometry II
MTH 320

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.

1.00 c.u.
Prerequisites: MTH 223 Calculus and Analytic Geometry III
Corequisites: MTH 223 Calculus and Analytic Geometry III
MTH 330

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.

1.00 c.u.
Prerequisites: MTH 222 Calculus and Analytic Geometry II
MTH 332

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.

1.00 c.u.
Prerequisites: MTH 160 Precalculus: Enhanced , MTH 161 Precalculus
With a grade of C or better.
MTH 335

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 systems, and the real number system from an axiomatic point of view.

1.00 c.u.
Prerequisites: MTH 221 Calculus and Analytic Geometry I , MTH 332 Discrete Mathematics
MTH 337

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.

1.00 c.u.
Corequisites: MTH 222 Calculus and Analytic Geometry II
MTH 415

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.

1.00 c.u.
Prerequisites: MTH 335 Foundations Of Advanced Mathematics
MTH 423

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.

1.00 c.u.
Prerequisites: MTH 223 Calculus and Analytic Geometry III

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