Mathematics

academics

Mathematics

BMAT087 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)

BMAT089 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)

BMAT120 Topics in Applied College Mathematics
(3 Credits)
Covers a variety of topics which will provide a foundation for further course work in mathematics, as well as other academic areas, including set theory, logic, algebra and probability.

BMAT122 Expanded Topics in Applied College Mathematics
(4 Credits)
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.  This course transfers as equivalent to NHTI-Concord’s Community College’s MT 120, Lakes Region Community College’s LMAT 1280, and Great Bay Community College’s MATH 145.

BMAT124 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 MT 124, Lakes Region Community College’s LMAT 2110, and Great Bay Community College’s MATH 150.  (Prerequisite: appropriate Accuplacer score or a C or better in BMAT 089)

BMAT180 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 conic sections. TI-89 Graphing Calculator required. (Prerequisite: appropriate Accuplacer score or POI)

BMAT214 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 BMAT120 or higher, an appropriate Accuplacer score or POI)

BMAT215 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: BMAT180 or POI)

BMAT220 Math in Our World
(3 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)

BMAT230 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: BMAT215 with a B- or better or POI)

BMAT235 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: BMAT215 with a B- or better or POI)

BMAT240 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: BMAT230 and/or BMAT235)

BMAT250 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: BMAT215 Calculus I with a B- or better or have permission of the instructor.)

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