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Mathematics (MAT)

Students who have shown exceptional mathematical ability may be placed into calculus as their initial mathematics course at Vermont Tech. If this course is completed successfully, then prior requisite courses for calculus will be waived.

MAT 0200  Pre-Tech Mathematics  (4)                                                        as required
This course prepares students for entry-level college mathematics courses. Credits do not count toward graduation. Prerequisite: Placement level 0 or 1

MAT 1040  Mathematics for Allied Health  (2)                                                     spring
This course gives an introduction to basic concepts in general mathematics; ratio; proportions; variation; statistics; two- and three-dimensional geometry, especially as related to volume; dosages and solutions; and US-metric conversions; 2 hours of lecture per week. Prerequisite: Placement level 1

MAT 1100  Mathematics for Technology  (3)                                                             fall
This course provides an introduction to technical mathematics for students in the automotive, construction, and diesel programs. It is designed for students whose academic background includes only an introduction to algebra and geometry. Topics covered include a review of arithmetic; percentages; dimensional analysis; scientific notation; sign numbers; order of operations; basic algebra (including exponents, radicals, factoring, algebraic fractions); ratio and proportions; systems of equations (2 x 2 only); graphing of equations; formulas; linear and quadratic equations; vectors; geometry; radians right triangle trigonometry; and the law of sines and cosines; 3 hours of lecture per week. Prerequisite: Placement level 2 or C or better in MAT 1210

MAT 1111  Introduction to Technical Mathematics I   (5)                                         fall
This course is the first of a two course sequence giving an introduction to technical mathematics. It will provide the skills necessary to be successful in technical mathematics. It is designed for students who have taken two years of high school algebra who do not place into MAT 1420. Topics covered include fundamental algebraic concepts; geometry; right triangle trigonometry; factoring and algebraic functions; systems of equations; quadratic equations; radicals; and exponents. Credit is not awarded for both MAT 1420 and MAT 1111 toward graduation; 5 hours of lecture per week. Prerequisite: Placement level 3

MAT 1112  Introduction to Technical Mathematics II  (5)                                         fall
This course is the second of a two semester sequence giving an introduction to technical mathematics. It will provide the skills necessary to be successful in technical mathematics. Topics covered include a review of  factoring and algebraic functions; exponents and radicals; exponentials and logarithms; trigonometric functions of any sized angle; oblique triangles and vectors; graphing trigonometric functions; trigonometric identities; and complex numbers. Credit is not awarded for both Mat 1420 and MAT 1112 toward graduation; 5 hours of lecture per week. Prerequisite: MAT 1111 with a C or better

MAT 1210  Principles of Mathematics  (3)                                                     fall/spring
This course is a review of general mathematics principles and an introduction of concepts for the solution of agricultural, agribusiness, and business problems. Topics covered include pocket calculator use; basic algebraic operations; solution of linear and quadratic equations; geometry concepts of line, area, and volume; variation; trigonometry of right triangle; growth; compound interest; debt amortization; probability; and statistics; 3 hours of lecture per week. Prerequisite: Placement level 2 or C or better in MAT 0200

MAT 1221  Finite Mathematics  (3)                                                                 fall/spring
This course introduces the student to use of a variety of mathematical tools to solve applied problems. Topics may include functions; graphing; linear models; matrices and linear systems of equations; linear programming; exponential models; elementary probability and statistics; and the math of finance; 3 hours of lecture per week. Prerequisite: Placement level 3 or C or better in MAT 1210 or MAT 1100

MAT 1340  Algebra and Trigonometry (5)                                           spring/summer
This course is a one semester course covering the necessary topics in algebra and trigonometry that will provide the skills necessary to be successful in technical mathematics. It covers the topics of both MAT 1111 and MAT 1112 in one semester and is designed to be a bridge course for students who have completed a lower level math or who are off-sequence and have not placed into MAT 1420. Credit is not awarded for both MAT 1420 and MAT 1340 toward graduation; 5 hours of lecture per week.  Prerequisite: Placement level 3 or a grade of C or better in MAT 1100 or 1210 or MAT 1221
Course may be taken by DVD with departmental permission [Course fee: $20]

MAT 1420  Technical Mathematics  (5)                                          fall/spring/summer
This course stresses the relation of mathematics to engineering applications and development of an appreciation of the importance of precision in mathematical thought. It covers use of the graphing calculator; solution of linear and quadratic equations; exponents and radicals; logarithms; exponential functions; right triangle trigonometry, laws of sines and cosines; vectors; operations with imaginary and complex numbers; trigonometric identities and equations; and graphs of trigonometric functions; 5 hours of lecture per week. Prerequisite: Placement level 4 or a C or better in MAT 1112 or 1340
Course may be taken by DVD with departmental permission [Course fee: $20]

MAT 1520  Calculus for Engineering  (4)                                                       fall/spring
This course presents basic concepts of plane analytical geometry and calculus. Topics include differentiation and integration of algebraic, trigonometric, exponential, and logarithmic functions with emphasis on technical applications; maximum and minimum word problems; related rate; and applications of the integral to include area and volume; 4 hours of lecture per week. Prerequisite: Placement level 5 or C or better in MAT 1420
Course may be taken by DVD with departmental permission [Course fee: $20]

MAT 2021  Statistics (3)                                                                                         spring
This course is an introduction to the basic ideas and techniques of probability and statistics. It is designed to prepare students to interpret quantitative information and to make statistical decisions. Topics include descriptive statistics; probability; characteristics of the normal distribution; mean and standard deviation; and steps in hypothesis testing; 3 hours of lecture per week. Prerequisite: Placement level 3 or C or better in MAT 1100 or 1210

MAT 2120  Discrete Structures  (3)                                                                fall/spring
This course introduces discrete structure in computer science. The instruction covers such topics as sets, set logic, relations, functions, proof techniques, induction, logic, graphical representations, and algorithms; 3 hours of lecture per week. Prerequisite: Placement level 3 or C or better in MAT 1210 or 1221

MAT 2532  Calculus II  (4)                                                                                fall/spring
Topics include techniques of integration; numeric integration; hyperbolic functions; indeterminate form and improper integrals; polar coordinates; partial function expansion; differential equations; and infinite series; 4 hours of lecture per week. Prerequisite: C or better in MAT 1520

MAT 2533  Calculus III  (4)                                                                                           fall
This course provides students with an opportunity to continue their study of calculus and covers the traditional third semester topics in calculus: vectors, partial derivatives, multiple integrals, vector analysis, and differential equations; 4 hours of lecture per week. Prerequisite: C or better in MAT 2532

MAT 3170  Applied Mathematics for Engineering  (3)                                       spring
This course introduces selected topics of advanced mathematics and applies them directly to areas of electrical and mechanical engineering analysis. The curriculum includes key methods of solution of both first and second order differential equations that are most useful in engineering analysis. Electrical and mechanical systems are modeled and their outputs are predicted using systems of integral and differential equations. LaPlace transforms and numerical methods of solution are also covered; 3 hours of lecture per week. Prerequisite: C or better in MAT 2532

MAT 3720  Topics in Discrete Mathematics  (3)                                                       fall
This course introduces fundamental topics in discrete mathematics that offer theoretical support for a variety of computer applications. Applications such as algorithm development and analysis, error analysis, data encryption, and combinatorics that are best understood with a foundation in logic and proof theory, set theory, probability, number theory, and the structure of modern algebra. This course will introduce the mathematical concepts and then follow them with some application of the concepts to computer science and computer technology; 3 hours of lecture per week. Prerequisite: MAT 2532 or 1520 and C or better in MAT 2120