Mathematics

academics

Mathematics

MATH087W Introductory Mathematics
(3 Credits)
A foundation course covering basic mathematical concepts (including the use of a calculator) designed to improve analytical thinking skills and problem solving strategies. Topics covered are: translating and solving word problems; performing operations with signed numbers; simplifying algebraic expressions; solving linear equations and linear inequalities; solving formulas for specific variables; applying the rules of exponents; evaluating numerical square roots; simplifying polynomials; and simplifying rational expressions. Students who complete the required competencies pass this course. Students who do not receive a grade of B or better will be required to retake the course. (Does not satisfy graduation requirements)

MATH089W Introduction to Algebra
(3 Credits)
An introduction to algebra intended for students who have some algebra. Topics covered include: Translating and solving word problems; Formulas and Geometry; Graphing linear equations in two variables; Finding the slope of a line given two points; Factoring polynomials; Solving systems of linear equations in 2 variables; Solving quadratic equations by factoring Students who complete the required competencies pass this course. Students who do not receive a grade of B or better will be required to retake the course. (Does not satisfy graduation requirements)

MATH120W Topics in Applied College Mathematics
(4 Credits)
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.*  This course transfers as equivalent to NHTI – Concord’s Community College’s MATH124C, Lakes Region Community College’s MATH2110L, and Great Bay Community College’s MATH150G.  (Prerequisite:  appropriate Accuplacer score or POI)

MATH124W College Algebra
(4 Credits)
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.*  This course transfers as equivalent to NHTI – Concord’s Community College’s MATH124C, Lakes Region Community College’s MATH2110L, and Great Bay Community College’s MATH150G.  (Prerequisite:  appropriate Accuplacer score or POI)

MATH180W Pre-Calculus
4 Credits)
This course will cover the following topics: triangles and vectors; trigonometric identities, equations and graphs; exponential and logarithmic functions and equations; sequences and series; complex numbers as well as analytic geometry.  TI-89 Graphing Calculator required.  (Prerequisite:  appropriate Accuplacer score or POI)

MATH214W Statistics
(4 Credits)
Topics covered include methods of obtaining, analyzing and presenting data, elementary probability, probability distributions, confidence intervals, hypothesis testing, linear regression and correlation, ANOVA, simulation techniques, and non-parametric tests. The course is capped by a research project on a topic chosen by the student. TI-89 Graphing Calculator required. (Prerequisite: Strongly Recommended C- or better in MATH120W or higher course, an appropriate Accuplacer score or POI)

MATH215W Calculus I
(4 Credits)
This course concentrates on limits, differentiation and integration. Exponential, trigonometric and logarithmic functions will all be included. Application of the techniques discussed will be employed in curve sketching, finding areas and volumes, problems in the physical sciences as well as other areas. If time permits there will be an introduction to differential equations. TI-89 Graphing Calculator required. (Prerequisites: MATH180W or POI)

MATH220W Math in Our World
(4 Credits)
This course provides an introduction to mathematical thought through activities and discussions of several mathematical topics. The topics discussed will include problem solving, an introduction to various number systems (Egyptian, Roman, Babylonian, Mayan), an introduction to arithmetic in different bases, properties of real numbers, operations on rational numbers, some geometry and measurement, and data and chance. These topics should lead you to a greater understanding of and appreciation for mathematics, especially the mathematics involved in teaching elementary school. (For Teacher Education students only. Not a Liberal Arts Elective)

MATH230W Number Theory
(4 Credits)
This course is designed for prospective high school math teachers and future math majors. Number theory looks at some classical problems concerning the integers, including the solution of Diophantine equations; the distribution of prime numbers; the theory of congruencies; quadratic reciprocity; and the Euler and Fermat's Theorems. (Prerequisites: MATH215W with a B- or better or POI)

MATH235W Linear Algebra
(4 Credits)
This course is designed for prospective high school math teachers and future math majors. This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines. The topics emphasized will include systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. (Prerequisites: MATH215W with a B- or better or POI)

MATH240W Abstract Algebra
(4 Credits)
This course is designed for prospective high school math teachers and future math majors. This course studies abstract algebraic systems such as groups, rings and fields. It attempts to understand the process of mathematical abstraction, the formulation of algebraic axiom systems, and the development of an abstract theory from these axiom systems. An important objective of the course is mastery of the reasoning characteristic of abstract mathematics. (Prerequisites: MATH230W and/or MATH235W)

MATH250W Geometry
(4 Credits)
This course is designed for prospective high school math teachers and future math majors. It covers axiomatic systems and proof, Euclidean and non-Euclidean geometries, constructions, isometries and symmetry, as well as fractal patterns and dimension. (Prerequisites: MATH215W Calculus I with a B- or better or have permission of the instructor.)