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Senior Project/Internship

This course serves as the capstone course for the Associate in Science in Mathematics degree, in which the student will demonstrate the application of the knowledge gained throughout the program.  This will be achieved either by an independent study investigating mathematics, physics, and/or engineering topics selected by the student with guidance from his/her program advisor […]

Probability and Statistics for Engineers and Scientists

Topics include: descriptive statistics; probability and probability distributions; statistical test and confidence intervals for one and two samples; building regression models; designing and analyzing experiments; statistical process control. Includes use of a statistical software package throughout the course.  A graphing calculator will be required.*  (Prerequisite: MATH 205C.)

Statistics

Topics include: basic measurements of central tendency and variability; frequency distributions; probability; binomial, Poisson, Chi-square, Student t, and normal distributions; sampling distributions; estimation of parameters; hypothesis testing; correlation; linear regression. A graphing calculator will be required.* (Prerequisite: MATH 120C, MATH 120XC, MATH 124C, or MATH 124XC )

Elementary Linear Algebra

This is an introductory course emphasizing techniques of linear algebra with applications.  Topics include: matrix operations; determinants; solutions of systems of linear equations; linear independence; matrix factorization; linear transformations; vector spaces; orthogonality; inner products and norms; eigenvalues and eigenvectors.  A graphing calculator* is required. (Prerequisite: MATH 205C.)

Mathematical Proofs

Introduces the student to reading and writing mathematical proofs. Topics include: sets and logic; methods of proof; equivalence relations, functions, and cardinality; topics from number theory and calculus. (Prerequisite:  MATH 205C.)

Differential Equations

Topics include: methods of solving and applications of ordinary first- and second-order differential equations; Laplace Transformations; series solutions; basics of linear algebra; systems of differential equations. A graphing calculator is required.* (Prerequisite: MATH 206C.)

Multivariable Calculus

A study of vectors, vector products, vector algebra, and vector-valued functions; motion in space; partial differentiation, gradient, divergence, curl, chain rule, tangent planes, extrema, Lagrange multipliers; multiple, line, and surface integrals; divergence, Green’s and Stokes’ theorems. A graphing calculator is required.* (Prerequisite: MATH 206C.)

Calculus II

Topics include: indefinite integration; the definite integral; the Fundamental Theorem of Calculus; integrals of elementary transcendental functions; techniques of integration; polar coordinates; and power series including Taylor series. Applications will be stressed throughout the course including: area; volumes of revolution; centroids; and moments of inertia. A graphing calculator is required.* (Prerequisite: MATH 205C.)

Calculus I

This course in the calculus of one variable will include: limits; derivatives of algebraic, trigonometric, exponential and logarithmic functions; antiderivatives; and an introduction to integration. Applications will be stressed throughout the course including: velocity, acceleration, curve sketching, optimization and related rates. A graphing calculator is required.* (Prerequisite: MATH 140C or satisfactory placement test scores as […]

Precalculus

Topics include:  rational functions; polynomial and rational inequalities; right triangle trigonometry; graphs of trigonometric functions; trigonometric identities and equations; oblique triangles; polar coordinates and equations; vectors; systems of equations and inequalities; rotation of conic sections; counting methods; binomial theorem; limits. A graphing calculator is required.* (Prerequisite: MATH 124C or MATH 124XC or satisfactory placement test […]

Geometry

Introduces the student to college-level Euclidean geometry, including definitions, postulates, and theorems. Topics include: reasoning and proofs; parallel and perpendicular lines; triangles and congruence; quadrilaterals; circles; transformations; area; and analytic geometry. The course also introduces concepts in non-Euclidean geometry. The student will complete a required project. A graphing calculator, compass and protractor, and dynamic geometry […]

Finite Mathematics

Topics include: matrices; linear programming; counting techniques; sets; probability; statistics; mathematics of finance; Markov chains; game theory. Applications will be emphasized. A graphing calculator will be required.* (Prerequisite: MATH 124C or MATH 124XC)