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.**

**MATH 091C 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.

**MATH 092C Introduction to Algebra 4-0-4**

A stand-alone preparatory course. Topics include: expressions; linear equations and inequalities; linear functions; slope; word problems; systems of linear equations; radicals; polynomials and factoring techniques; rational expressions; quadratic equations; exponents. Calculator use is allowed in the course. 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 to advance to a college-level mathematics course. *For institutional credit only.* (Prerequisite: Permission of academic advisor.)

**MATH 115C 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.

**MATH 120C Quantitative Reasoning 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: MATH 092C with a grade of “C” or higher or the high school equivalent with a grade of “C” or higher.) [Note: Students who have received credit for MATH 120C may not also receive credit for MATH 120XC.]

**MATH 120XC Quantitative Reasoning 3-3-4**

This extended version of Topics in Applied College Math provides students with requisite math skills while simultaneously gaining exposure to a wide range of general college-level mathematics. During lab sessions, students receive instruction and practice in fundamental skills directly related to the topics presented during lecture. Problem solving and critical thinking skills, along with the use of technology, is emphasized and reinforced throughout the course as students become 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. A graphing calculator is strongly recommended.* (Prerequisite: ACCUPLACER score of 26 or higher.) [Note: Students who have received credit for MATH 120C may not also receive credit for MATH 120XC.]

**MATH 124C 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 II with a grade of “C” or higher (or equivalent) * or* MATH 092 with a grade of “C” or higher

**MATH 124XC College Algebra 3-3-4**

This extended version of College Algebra is designed for students who need to develop requisite math skills while simultaneously studying advanced algebra topics. During lab sessions, students receive instruction and practice in fundamental skills directly related to the topics presented during lecture. The course emphasizes the use of the graphing calculator as a learning tool and as a means to obtain solutions. 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: ACCUPLACER score of 57 or higher.) [Note: Students who have received credit for MATH 124C may not also receive credit for MATH 124XC.]

**MATH 125C 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: MATH 124C.)

**MATH 130C Geometry 4-0-4**

Introduces the student to college-level Euclidean geometry, including definitions, postulates, and theorems. Topics include: reasoning and proofs; parallel and perpendicular lines; triangles and congruence; quadrilaterals; circles; transformations; area; and analytic geometry. The course also introduces concepts in non-Euclidean geometry. The student will complete a required project. A graphing calculator, compass and protractor, and dynamic geometry software are required. (Prerequisite: MATH 120C or MATH 124C or MATH 124XC or by permission of the Department Head of Mathematics/Physics/Science.)

**MATH 140C 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; rotation of conic sections; counting methods; binomial theorem; limits. A graphing calculator is required.* (Prerequisite: MATH 124C or recommendation of Math Department based on placement testing.)

**MATH 205C 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: MATH 140C or recommendation of Math Department based on placement testing.)

**MATH 206C 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: MATH 205C.)

**MATH 208C 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: MATH 206C.)

**MATH 210C 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: MATH 206C.)

**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.)

**MATH 251C 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: MATH 120C or MATH 124C.)

**MATH 271C 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: MATH 205C.)

**MATH 290C 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 MATH 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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