□ = General Education Course (Primary Competency Addressed)
MTH 110 MATHEMATICS FOR Liberals arts
□ (Problem Solving/Critical Thinking)
A survey of elementary mathematics designed to illustrate its power and scope. Extensive mathematical background is not required. Inductive/deductive reasoning, methods of counting and elementary probability theory will be considered. Intended for non-science majors. 1 c.u.
This course will have a workshop component.
Prerequisite: ACF 92 or sufficient score on placement test.
MTH 113 College Algebra and Trigonometry
□ (Problem Solving/Critical Thinking)
Use of calculators/computers to develop facility with exponential and logarithmic functions, trigonometric functions, solutions of triangles, coordinate geometry. This course will have a workshop component. 1 c.u.
Prerequisite: ACF 94 with grade of C- or higher or sufficient score on placement test.
MTH 200 APPLIED STATISTICS I
Methodology of organizing, summarizing, and presenting statistical data. Calculate and interpret the measures of central tendency and dispersion. Probability and distribution theory (Normal, Binomial, Poisson). Use distribution and sampling theory to make statistical inference. 1 c.u.
Prerequisite: MTH 113 or consent of the instructor.
MTH 201 APPLIED STATISTICS II
This course is a continuation of MTH 200.Further topics in statistical inference will be discussed, such as analysis of variance (ANOVA), regression, and correlation, index numbers and introduction to time series analysis. 1 c.u.
Prerequisite: MTH 200.
MTH 220 topics in calculus
A one-semester course covering differentiation and integration of elementary, trigonometric and transcendental functions. An introduction to multivariable calculus. Applications to biological and physical science. MTH 220 may not be used as a substitute for MTH 221. 1 c.u.
Prerequisite: MTH 113.
MTH 221 CALCULUS and analytic geometry I
Basic theory of differential calculus through the concepts of limits and continuity. 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. 1 c.u.
Prerequisite: MTH 113 with a grade of C or higher.
MTH 222 CALCULUS and analytic geometry II
Introduction to the integral calculus and its application to the solution of real world problems. A study of the calculus of exponential, logarithmic and trigonometric functions. Techniques of integration. 1 c.u.
Prerequisite: MTH 221.
MTH 223 CALCULUS and analytic geometry III
Sequences and series, multivariable functions and their derivatives, multiple integrals and vector valued functions, Green’s Theorem, Stokes’ Theorem Applications using the graphing calculator. 1 c.u.
Prerequisite: MTH 222.
MTH 310 Number Theory
A formal study of the integers through prime numbers, divisibility, congruencies, Euler’s function and quadratic reciprocity. 1 c.u.
Prerequisite: MTH 222.
MTH 320 DIFFERENTIAL EQUATIONS
A first course in differential equations. Separation of variables, homogeneous equations, integrating factors, linear and higher order equations. Applications via classical and computer based methods. 1 c.u.
Prerequisite: MTH 222.
MTH 330 Geometry
An axiomatic approach to geometry; compares various analyses of Euclid’s fifth postulate resulting in non-Euclidian geometries. Several finite geometries are studied. 1 c.u.
Prerequisite: MTH 222.
MTH 331 Foundations of Mathematics
Development of concepts and tools used in abstract mathematics. Emphasis on writing proofs, Logic, set theory, formal axiom systems, the real number system from an axiomatic point of view. 1 c.u.
Prerequisite: MTH 222.
MTH 332 DISCRETE mathematics
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 c.u.
Prerequisite: MTH 113.
MTH 337 Linear Algebra
A course in the abstract mathematics sequence. Systems of linear equations, matrices, vectors, linear transformations, bases, linear independence, orthogonality eigenvectors and eigenvalues. 1 c.u.
Prerequisite: MTH 331.
MTH 415 Abstract Algebra
A final course in the sequence of abstract mathematics. Topics include groups, rings, fields, integral domains, isomorphisms, homomorphisms, sub group structure of finite groups. 1 c.u.
Prerequisite: MTH 337.
MTH 423 Advanced Calculus
A rigorous treatment of the basic concepts of calculus including limits, continuity, differentiation, and the Riemann integral. Properties of the real number system, extensions of the Mean Value Theorem are also considered. 1 c.u.
Prerequisite: MTH 223.
