Published on *NHTI - Concord's Community College* (https://www.nhti.edu)

**Number sequencing next to course name means the following: first digit designates the number of lecture hours for the course; the second digit designates the number of lab, clinic or practicum hours; and the third digit designates the credit hours for the course.**

**MT 091 Prealgebra 4-0-4**

This course will review the essential math skills required for success in an elementary algebra course. Topics include: basic arithmetic operations with whole numbers; signed numbers; fractions; decimals; percent; ratio and proportion; basic algebra; graphing. The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of “C” or higher.

**MT 093 Algebra Part I (with Geometry) 4-0-4**

The first in a sequence of preparatory courses. Topics include: fractions; decimals; percent; exponents; real numbers; polynomials; proportions; scientific notation; linear equations and inequalities; graphing; geometric concepts; formulas. The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of “C” or higher. (Prerequisite: MT 091 with a “C” or higher, or recommendation of Math Department based on placement testing.)

**MT 094 Algebra Part II (with Trigonometry) 4-0-4**

The second in a sequence of preparatory courses. Topics include: systems of linear equations; radicals; complex numbers; factoring; rational expressions and equations; quadratic equations; exponential and logarithmic expressions and equations; graphing functions; measurements; trigonometry. A graphing calculator will be required for certain topics.* The institutional credits awarded for this course do not count toward graduation requirements but are calculated into GPA. Completion of this course requires a grade of “C” or higher. (Prerequisite: MT 093 with a grade of “C” or higher.)

**MT 115 Practical Mathematics in Electronic Technology 4-1-1**

This course is designed to reinforce basic mathematical concepts and introduce terminology and problem solving with applications employed in Engineering Technology to students planning to enter the AGGP, EET, or CPET curriculums. Topics include: algebra; engineering notation; precision and accuracy of numbers; literal equations; unit conversions; basic electric circuits; component identification; measurement techniques. Exercises and laboratory experiments will concentrate on developing methods of analysis employed in problem solving. Emphasis is placed on terminology and development of methods and analytical skills applied in engineering technologies. Theory will be reinforced through laboratory experiments. A graphing calculator will be required.* Grading will be Pass/Fail.

**MT 120 Topics in Applied College Mathematics 4-0-4**

This course is designed to expose the student to a wide range of general mathematics. Problem solving and critical thinking skills, along with the use of technology, will be emphasized and reinforced throughout the course as the student becomes actively involved in solving applied problems. Topics include: number theory and systems; functions and modeling; finance; geometry; measurement; probability; statistics; selected subtopics related to the student’s major field of study. (Prerequisite: MT 093 with a grade of “C” or higher or the high school equivalent with a grade of “C” or higher.)

**MT 124 College Algebra 4-0-4**

Topics include: linear, quadratic and higher degree equations; rational, radical, exponential, and logarithmic equations; graphs of functions; models and applications of functions; systems of linear equations; matrices, conic sections; sequences and series; trigonometry. A graphing calculator is required.* (Prerequisite: High School Algebra I with a grade of “C” or higher (or equivalent), or MT 093 and MT 094, both with grades of “C” or higher.)

**MT 125 Finite Mathematics 4-0-4**

Topics include: matrices; linear programming; counting techniques; sets; probability; statistics; mathematics of finance; Markov chains; game theory. Applications will be emphasized. A graphing calculator will be required.* (Prerequisite: MT 124)

**MT 140 Precalculus 4-0-4**

Topics include: rational functions; polynomial and rational inequalities; right triangle trigonometry; graphs of trigonometric functions; trigonometric identities and equations; oblique triangles; polar coordinates and equations; vectors; systems of equations and inequalities; linear programming; matrices; rotation of conic sections; counting methods; binomial theorem; limits. A graphing calculator is required.* (Prerequisite: MT 124 or recommendation of Math Department based on placement testing.)

**MT 205 Calculus I 4-0-4**

This course in the calculus of one variable will include: limits; derivatives of algebraic, trigonometric, exponential and logarithmic functions; antiderivatives; and an introduction to integration. Applications will be stressed throughout the course including: velocity, acceleration, curve sketching, optimization and related rates. A graphing calculator is required.* (Prerequisite: MT 140 or recommendation of Math Department based on placement testing.)

**MT 206 Calculus II 4-0-4**

Topics include: indefinite integration; the definite integral; the Fundamental Theorem of Calculus; integrals of elementary transcendental functions; techniques of integration; polar coordinates; and power series including Taylor series. Applications will be stressed throughout the course including: area; volumes of revolution; centroids; and moments of inertia. A graphing calculator is required.* (Prerequisite: MT 205)

**MT 208 Multivariable Calculus 4-0-4**

A study of vectors, vector products, vector algebra, and vector-valued functions; motion in space; partial differentiation, gradient, divergence, curl, chain rule, tangent planes, extrema, Lagrange multipliers; multiple, line, and surface integrals; divergence, Green’s and Stokes’ theorems. A graphing calculator is required.* (Prerequisite: MT 206)

**MT 210 Differential Equations 4-0-4**

Topics include: methods of solving and applications of ordinary first- and second-order differential equations; Laplace Transformations; series solutions; basics of linear algebra; systems of differential equations. A graphing calculator is required.* (Prerequisite: MT 206)

**MATH 215C Mathematical Proofs 4-0-4**

Introduces the student to reading and writing mathematical proofs. Topics include: sets and logic; methods of proof; equivalence relations, functions, and cardinality; topics from number theory and calculus. (Prerequisite: MATH 205C)

**MATH 220C Elementary Linear Algebra 4-0-4**

This is an introductory course emphasizing techniques of linear algebra with applications. Topics include: matrix operations; determinants; solutions of systems of linear equations; linear independence; matrix factorization; linear transformations; vector spaces; orthogonality; inner products and norms; eigenvalues and eigenvectors. A graphing calculator* is required. (Prerequisite: MATH 205C)

**MT 251 Statistics 4-0-4**

Topics include: basic measurements of central tendency and variability; frequency distributions; probability; binomial, Poisson, Chi-square, Student t, and normal distributions; sampling distributions; estimation of parameters; hypothesis testing; correlation; simple and multiple regression; prediction intervals. A graphing calculator will be required.* (Prerequisite: MT 124)

**MT 271 Probability and Statistics for Engineers and Scientists 4-0-4**

Topics include: descriptive statistics; probability and probability distributions; statistical test and confidence intervals for one and two samples; building regression models; designing and analyzing experiments; statistical process control. Includes use of a statistical software package throughout the course. A graphing calculator will be required.* (Prerequisite: MT 205)

**MT 290 Senior Project/Internship 0-12-4**

This course serves as the capstone course for the Associate in Science in Mathematics degree, in which the student will demonstrate the application of the knowledge gained throughout the program. This will be achieved either by an independent study investigating mathematics, physics, and/or engineering topics selected by the student with guidance from his/her program advisor or through participation in an internship with an approved industry partner. In either case, the student will submit a written paper and make an oral presentation of the project/internship in a student seminar. (Prerequisites: All MT courses with grades of “C” or higher and the approval of the Department Head of Mathematics/Physics; only offered in the final semester of the Mathematics program.)

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