Mathematics Course Description

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MATHEMATICS COURSE DESCRIPTION

MATH 0101 Developmental Math
Credit: 1 (1 lecture)

An individualized curriculum intended for students who have completed the College developmental math sequence through MATH 0312, but have yet to demonstrate achievement of the appropriate TASP standard. Counselor's approval required.

MATH 0102 Basic Mathematics
Credit: 1 (1 lecture)

Designed for students who have tested below MATH 0306 and require a self-paced presentation of the basic operations in whole numbers. Counselor's approval required.

MATH 0105 Developmental Mathematics Geometry
Credit: 1 (1 lecture)

Topics include basic geometry concepts dealing with perimeters, areas, capacities, volumes and relationships between figures. This course is designed to provide instruction for students who enter the math sequence at Math 0312 or above. Its purpose is to help prepare students for the geometry section of TASP.

MATH 0306 Fundamentals of Mathematics I
Credit: 3 (3 lecture)

Topics include fundamental operations in whole numbers, fractions and decimals, percents, ratios, and proportion, descriptive statistics, and an introduction to the real numbers. All students who enroll in this course are expected to complete Math 0308, and Math 0312 in the following consecutive semesters before attempting their first college-level mathematics course (usually Math 1314 College Algebra). A departmental final exam will be given in this course.

MATH 0308 Fundamentals of Mathematics II
Credit: 3 (3 lecture)

Topics include real numbers, basic geometry, polynomials, factoring, linear equations, and inequalities quadratic equations, and rational expressions. A departmental final examination must be passed in order to pass the course.

MATH 0312 Intermediate Algebra
Credit: 3 (3 lecture)

Topics include factoring techniques, radicals, algebraic fractions, complex numbers, graphing linear equations and inequalities, quadratic equations, system of equations, graphing quadratic equations, and an introduction to functions. Emphasis is placed on algebraic techniques in order to successfully complete Math 1314 College Algebra. A departmental final examination must be passed in order to pass this course.

MATH 1314 College Algebra
Prerequisite: MATH 0312 or satisfactory test score
Credit: 3 (3 lecture)

Topics include quadratics, polynomial, rational, logarithmic and exponential functions, system of equations, progression, sequences and series, matrices and determinants. A departmental final examination will be given in this course. Core curriculum course.

MATH 1316 Plane Trigonometry
Prerequisite: MATH 0312 (Plane geometry is recommended)
Credit: 3 (3 lecture)

Topics include solutions of triangles, Euler identity, graphing of trigonometric and inverse trigonometric functions, identities, trigonometric equations and an introduction to vector analysis. Core curriculum course.

MATH 1324 Finite Mathematics with Applications
Prerequisite: MATH 1314
Credit: 3 (3 lecture)

A survey of finite mathematics and its application to problems of business and the natural and social sciences. Topics include set theory, probability, an introduction to matrices, linear programming, and an introduction to statistics. Core curriculum course.

MATH 1325 Elements of Calculus with Applications
Prerequisite: MATH 1314
Credit: 3 (3 lecture)

A survey of differential and integral calculus including the study of functions and graphs from a calculus viewpoint as applied to problems in business and the natural and social sciences. Core curriculum course.

MATH 1332 Contemporary Mathematics
Prerequisite: MATH 1314
Credit: 3 (3 lecture)

Topics include exponential and logarithmic functions, geometry, probability, statistics, and finance. Core curriculum course.

MATH 1342 Statistics
Prerequisite: MATH 1314
Credit: 3 (3 lecture)

Topics include histograms, probability, binomial and normal distributions and their applications, correlation and prediction, and tests of statistical hypotheses. Core curriculum course.

MATH 1350 Mathematics for Elementary Teachers I
Prerequisite: Math 1314 or equivalent
Credit: 3 (3 lecture)

Concepts of sets, functions, numerations systems, elementary number theory, and properties of the natural numbers, integers, rational, and real numbers systems with an emphasis on problem-solving and critical thinking.

MATH 1351 Mathematics for Elementary Teachers II
Prerequisite: MATH 1314 or equivalent
Credit: 3 (3 lecture)

Concepts of elementary non-Euclidean geometry, probability, and statistics, as well as applications of the algebraic properties of real numbers to concepts of measurement with an emphasis on problem solving and critical thinking.

MATH 2318 Linear Algebra
Prerequisite: MATH 2413
Credit: 3 (3 lecture)

Topics include systems of linear equations, vector spaces, matrices, linear mappings, and determinants. Core curriculum course.

MATH 2320 Ordinary Differential Equations
Prerequisite: MATH 2414
Credit: 3 (3 lecture)

Topics include initial value problems for first order and linear second order equations, Picard iteration, series solutions, boundary value problems, Laplace transforms and numerical methods. Core curriculum course.

MATH 2412 Precalculus
Prerequisite: MATH 1314 and MATH 1316 or Department Approval
Credit: 4 (4 lecture)

Topics include elementary theory of functions and equations, analytic geometry, vectors, introductory logic, mathematical induction, sequences and finite series. Core curriculum course.

MATH 2413 Calculus I
Prerequisite: MATH 2312 or consent of the Department Head
Credit: 4 (4 lecture)

An integrated study of differential calculus with analytic geometry including the study of functions, limits, continuity, differentiation, and an introduction to integration. Core curriculum course.

MATH 2414 Calculus II
Prerequisite: MATH 2413
Credit: 4 (4 lecture)

Integral calculus including discussions of transcendental functions, applications of integration, techniques and improper integrals, infinite series, Taylor series, plane curves, and polar coordinates. Core curriculum course.

MATH 2415 Calculus III
Prerequisite: MATH 2414
Credit: 4 (4 lecture)

A survey of advanced topics in calculus including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, Jacobians, divergence and Stoke's theorems. Core curriculum course.