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Course Criteria
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3.00 Credits
(3 Hours) Prerequisite: MAT110 Calculus with Analytic Geometry 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 Differ- ential 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 analy- sis in calculus problems, a rigorous study of vector-valued functions, partial derivatives, centroids, directional deriva- tives, gradients, and a study of multiple integrals including double integrals, triple integrals, changing variables involv- ing 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, GreenÃs Theorem applications, surface integrals including applications and flux, and the use of matrices in various operations, will be covered as time permits. NOTE: A graphing calculator is required for this course!
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3.00 Credits
(3 Hours) Prerequisite: MAT201 Calculus with Analytic Geometry III Includes standard types to ordinary differential equations of first and second order, linear equations, solutions by series, and application to geometry and physical science.
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3.00 Credits
(3 Hours) Prerequisite: MAT 104 College Algebra This course is an introductory study of the fundamentals of modern statistics and probability. The main topics covered include descriptive methods, inductive statistics, probability, estimation, tests of hypotheses, linear regression, linear cor- relation coefficients, Chi-Square tests of independence and goodness of fit, along with other selected topics as time allows. NOTE: A graphing calculator is required for this course!
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1.00 Credits
(1 Hour) Prerequisite: Permission of Instructor Provides opportunities for individuals to engage in advanced, specific projects in the discipline. The independent project must be of sufficient intensity to warrant the awarding of credit. In general, an individual, in cooperation with the instructor, must work out a detailed plan of study complete with resources to be consulted and an evaluation of the project.
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4.00 Credits
(D) *COURSE DATA: CREDITS: 4 V LECTURE: 4 LAB: 0 REPEAT: 3 One of the courses offered in the HCC Traditional Math Lab and in the Computer Math Lab. The basic format is self-instruction through the medium of programmed self-teaching text or computer software, and with the help of qualified instructors. The course includes the study of whole numbers, fractions, decimal numbers, and percent, ratio, and proportions. It does not meet Highland requirements for graduation and is not transferable. A maximum of sixteen (16) credit hours may be earned in this course.
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4.00 Credits
(D) *COURSE DATA: CREDITS: 4 LECTURE: 4 LAB: 0 REPEAT: 3 PREREQUISITE: MATH 065 or placement beyond MATH 065 A course is offered in the computer lab. The basic format is self-instruction through the medium of computer software and a reference book and with the help of qualified instructors. Includes the study of angles, triangles, polygons, quadrilaterals, circles, transformations, parallel and perpendicular lines, computation of areas, and geometric proofs. Course makes use of the CAI Geometry series by Plato Educational Courseware. This developmental course is equivalent to a one-year high school geometry course.
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3.00 Credits
(D) *COURSE DATA: CREDITS: 4V LECTURE: 4 LAB: 0 REPEAT: 3 PREREQUISITE: MATH 061 or placement into MATH 065 A course offered as a lecture course or in the HCC Traditional Math Lab or in the Computer Math Lab. The basic format is self-instruction through the medium of a programmed selfteaching text or computer software and with the help of qualified instructors. The course is a beginning algebra course with some review of arithmetic. It does not meet Highland requirements for graduation and is not transferable. A maximum of sixteen (16) credit hours may be earned in this course.
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3.00 Credits
(V) *COURSE DATA: CREDITS: 3 LECTURE: 3 LAB: 0 REPEAT: 0 PREREQUISITE: MATH 061 or placement into MATH 065 Includes a study of numbers, measurements, algebra, geometry, and trigonometry as it relates to mechanical devices and equipment. This is a specially designed course for students in fields such as Machine Processes, Industrial Technology, Welding, and Mechanics.
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3.00 Credits
(D) *COURSE DATA: CREDITS: 4V LECTURE: 4 LAB: 0 REPEAT: 3 PREREQUISITE: MATH 065 or placement into MATH 162 A course offered as a lecture course or in the Highland Community College Traditional Math Lab or in the Computer Math Lab. The basic format is self-instruction through the medium of a programmed self-teaching text or computer software and with the help of qualified instructors. It is a systematic presentation of the basic topics of algebra at an intermediate level. Topics include number systems, polynomials and factoring, exponents, roots and radicals, inequalities and graphing, linear and basic nonlinear equations. A maximum of sixteen (16) credit hours may be earned in this course.
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5.00 Credits
(T) *COURSE DATA: CREDITS: 5 LECTURE: 5 LAB: 0 REPEAT: 0 PREREQUISITE: Grade of "C" or better in MATH 162 or placement beyond MATH 162 andone year high school geometry or MATH 062 This is a accelerated course designed for Engineering majors or Chemistry majors who need to attain quickly the background necessary to enroll in the Calculus sequence. This course includes a study of equations involving quadratics, complex numbers, relations, functions and their transformatuions, rational functions, exponential and logarithmic functions, and series and sequences. Also included is the study of trigonometric functions, functions of multiple angles, trigonometric equations and identities, radian measure, inverse functions, and graphs.
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