Mathematics
MAT090 Fundamentals of Math (3)
This course is a lead-in class to the algebra sequence. The student will develop skills in the four fundamental operations using whole numbers, fractions, decimal fractions, ratio, proportion, and percent applications are included for business and consumer concerns. If time permits, applied geometry and an introduction to algebra will also be included.
MAT100 Beginning Algebra (3)
Prerequisite: MAT090 - Fundamentals of Math, TST004 - Assessment
This course is intended for students that have no successful algebra experience. This is a lead-in class to intermediate algebra. This course includes basic algebra fundamentals.
MAT103 Intermediate Algebra (3)
Prerequisite: MAT100 - Beginning Algebra, TST004 - Assessment
This course is intended as a thorough study of the fundamental laws of algebra with extensive study of adding, subtracting, multiplying, dividing, factoring, and simplifying polynomial, rational, and radical expressions; solving linear, quadratic, rational, and radical equations including non-real complex solutions; solving linear, compound, and absolute value inequalities; graphing linear equations; inequalities, and quadratic functions; solving system of two equations in two variables; utilizing function notation, and applications of many of these algebraic concepts. Other topics will be included as time permits.
MAT104 College Algebra (3)
Prerequisite: MAT103 - Intermediate Algebra, TST004 - Assessment
College Algebra is a comprehensive study of the fundamental laws of algebra, exponents, linear and quadratic equations, polynomial and rational inequalities, system of equations, radicals and radical equations, function and graphing, polynomials and polynomial equations, modeling, logarithms, complex numbers, augmented matrices, determinants, regression, analysis of all kinds of graphs, linear systems in two or three variables, and applications of the topics above, and others as time permits.
MAT105 Trigonometry (3)
Prerequisite: MAT104 - College Algebra
This course includes the study of circular functions and their graphs, working with the right triangle, "unit circle", inverse circular functions, identities, conditional equations, the Law of Sines, the Law of Cosines, and other topics as time permits.
MAT106 Calculus I (5)
Prerequisite: MAT105 - Trigonometry, TST004 - Assessment
Calculus I with Analytic Geometry is the first in the three-semester sequence in the rigorous study of calculus. This course consists of the study of algebraic functions of one variable, the use of modern technology to enhance calculus knowledge, limits including the study of L'Hopital's rule, differentiation and its various techniques, definite and indefinite integrals (including integration by substitution and logarithmic functions), and applications of the derivative and definite integral in geometry, science, engineering, business, medicine, and other fields. Other topics may be covered as time permits.
MAT107 General Calculus & Linear Algebra (3)
Prerequisite: MAT104 - College Algebra
General Calculus is an introduction to calculus and linear algebra concepts that are particularly useful in the study of economic and business administration. This course consists of the study of algebraic functions of both one and several variables, the use of modernn technology to enhance calculus knowledge, differentiation and partial differentiation and their various techniques and applications to business such as marginal analysis and optimization including Lagrange Multipliers. Other topics may be covered as time permits.
MAT108 Topics in Contemporary Mathematics (3)
Prerequisite: MAT103 - Intermediate Algebra, TST004 - Assessment
This course is designed to develop problem-solving skills by studying a wide range of contemporary applications of mathematics and to develop an acute appreciation of what mathematics truly is and how it is used in modern times. The main goal of the course is to give an introduction to the power and variety of mathematical techniques that are available to an educated member of society. Some of the great ideas of mathematics and how they can be used in everyday life will be thoroughly explored, including but not limited to: set theory, logic and syllogisms, graph theory, number theory, algebraic models, modeling systems for both linear equations and inequalities, voting methodology, consumer mathematics, and descriptive statistics. Through the exploration of these topics, this course should provide students with an opportunity to enhance their understanding of useful mathematical processes. This course does not satisfy the graduation requirements for an Associate of Science degree.
MAT110 Calculus II (5)
Prerequisite: MAT106 - Calculus I
Calculus II with Analytic Geometry is the second in the three-semester sequence in the rigorous study of calculus. This course consists of working with logarithms and other exponential functions, hyperbolic functions, inverse and hyperbolic trigonometric functions, numerous integration techniques including using tables, integration by parts, substitutions, partial fractions, improper integrals, continued work with L'Hopital's rule, sequences and series, convergence and comparison tests, using formulas to estimate integrals, differential equations, and calculus involving three-dimensional space, vector operations including the dot product, projections, the cross product, parametric equations of lines, and three-dimensional plane operations with quadric surfaces, plus selected topics in analytic geometry as time permits.
MAT201 Calculus III (5)
Prerequisite: MAT110 - Calculus II
Calculus III is the final course in the three-semester sequence in the rigorous study of calculus. Calculus III should fully prepare the student to be successful in the courses of Differential Equations, Vector Analysis, Statics, Dynamics, and other upper-level mathematics, science, and engineering courses in the future. Calculus III consists of a thorough study of polar coordinates and parametric equations, vector analysis in calculus problems, a rigorous study of vector-valued functions, partial derivatives, centroids, directional derivatives, gradients, and a study of multiple integrals including double integrals, triple integrals, changing variables involving polar coordinates, center of mass and moments of inertia, and many applications. In addition, there will be a thorough study of multiple integrals and their applications, including in cylindrical and spherical coordinates and change of variables using Jacobians. Topics from the field of vector analysis, such as vector fields, line integrals, Green's Theorem applications, surface integrals including applications and flux, and the use of matrices in various operations, will be covered.
MAT202 Differential Equations (3)
Prerequisite: MAT201 - Calculus III
Includes standard types of ordinary differential equations of first and second order, linear equations, solutions by series, and application to geometry and physical science.
MAT203 Basic Statistics (3)
Prerequisite: MAT104 - College Algebra
Covers fundamentals of modern statistics. The main topics covered include descriptive methods, probability, estimations, tests of hypothesis, regression, and correlation.
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