 # Mathematics Courses

### MAT 090 Fundamentals of Math (3)

Fundamentals of Math precedes the algebra sequence of courses. This course is designed to develop skills in the four fundamental mathematical operations using whole numbers, fractions, decimal fractions, ratio, proportion, and percent. Business and consumer applications are also included. If time permits, applied geometry and an introduction to algebra will be included.

### MAT 100 Beginning Algebra (3)

Prerequisite: MAT 090 or Assessment

This course focuses on basic algebra fundamentals and is designed to prepare students for the Intermediate Algebra course.

### MAT 102 Technical Math (3)

Prerequisite: MAT 090 or Assessment

Technical math focuses on measurement, algebraic operations, formulas, geometry, and basic statistics, scientific notation, number systems, algebra (equations and formulas, factoring, and systems), geometry, and trigonometry.  These concepts are supported by practical applications to a variety of career and technical vocations, including manufacturing, automotive, allied health, welding, building trades, and heating, ventilation, air conditioning and plumbing.

### MAT 103 Intermediate Algebra (3)

Prerequisite: MAT 100 with a C or higher or Assessment

This course is a thorough study of the fundamental laws of algebra, including adding, subtracting, multiplying, dividing, factoring, and simplifying polynomial, rational, and radical expressions. The course also will cover solving linear, quadratic, rational, and radical equations, including non-real complex solutions, as well as solving linear, compound, and absolute value inequalities. In addition, graphing linear equations, inequalities, and quadratic functions, solving systems of two equations in two variables, and using function notation will be covered, as well as applications of many of these algebraic concepts. Other topics will be included as time permits. A scientific calculator is required for this course.

### MAT 104 College Algebra (3)

Prerequisite: MAT 103 with a C or higher or Assessment

College Algebra is a comprehensive study of the fundamental laws of algebra, including exponents, linear and quadratic equations, polynomial and rational inequalities, system of equations, radicals and radical equations, functions and graphing, polynomials and polynomial equations, modeling, logarithms, complex numbers, augmented matrices, determinants, and regression.  The course will provide analysis of graphs and linear systems in two or three variables, as well as applications of most of the topics listed above and others as time permits.  A graphing calculator is required for this course.

### MAT 105 Trigonometry (3)

Prerequisite: MAT 104 with a C or higher or Assessment

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.

### MAT 106 Calculus I (5)

Prerequisite: MAT 105 with a C or higher, or high school Trigonometry and Assessment

Calculus I is the first in a three-semester sequence of calculus courses. 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 will be covered as time permits.

### MAT 107 General Calculus and Linear Algebra (3)

Prerequisite: MAT 104 with a C or higher or Assessment

This course provides an introduction to calculus and linear algebra concepts that are particularly useful in the study of economics and business administration. The course will cover the basic theorems and concepts of differential and integral calculus and linear algebra and will emphasize working problems with applications in economics and business.

### MAT 108 Contemporary Math (3)

Prerequisite: MAT 103 with a C or higher or Assessment

This course is designed to develop problem-solving skills by studying a wide range of contemporary applications of mathematics and to develop an appreciation of what mathematics is and how it is used today. The main goal of the course is to introduce 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 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. This course does not satisfy the graduation requirements for an Associate of Science degree.

### MAT 110 Calculus II (5)

Prerequisite: MAT 106 with a C or higher

This course is the second in a three-semester sequence of calculus courses. 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, and differential equations. The course also covers 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, as well as selected topics in analytic geometry as time permits.

### MAT 201 Calculus III (5)

Prerequisite: MAT 110 with a C or higher

This course is the final course in the three-semester sequence of calculus courses. This course is designed to prepare students to be successful in Differential Equations, Vector Analysis, Statics, Dynamics, and other upper-level mathematics, science, and engineering courses. The course consists of a thorough study of polar coordinates and parametric equations, vector analysis in calculus problems, vector-valued functions, partial derivatives, centroids, directional derivatives, gradients, and 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 also be covered.

### MAT 202 Differential Equations (5)

Prerequisite: MAT 110 with a C or higher

This course covers standard types of ordinary differential equations of first and second order, linear equations solutions by series and Laplace transformations, systems of equations, numerical methods and applications to science and engineering.

### MAT 203 Basic Statistics (3)

Prerequisite: MAT 104 with a C or higher

This course is an introductory study of the fundamentals of modern statistics and probability.  The course will cover descriptive methods, inductive statistics, probability, estimation, tests of hypotheses, correlation, regression and Chi-square, along with other topics as time allows.

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