Mathematics

Data mining is the process of discovering meaningful new correlations, patterns, and trends by sifting through large amounts of data stored in data warehouses, using pattern recognition technologies as well as statistical techniques. This course is the foundation for introducing students to key topics in data acquisition/preparation, programming language, exploratory data analysis, reporting and visualization of data. Students will learn the elements of a database, understanding file structures, working with multiple files, checking, modern data formats, editing and cleaning data. Prerequisite: MATH212M with a grade of “C” or better.

Data analysis is a process for obtaining raw data and converting it into information useful for decision-making by users. This course is an introduction to the tools and techniques required to enter the growing field of analytics. Major topics include R programming language concepts, modeling and algorithms, techniques for analyzing quantitative data, and barriers to effective analysis. Emphasis is placed on applications of data analysis and decision-making. Prerequisites: MATH212M with a grade of “C” or better.

This course is designed to review and enhance mastery of basic mathematical and algebraic skills needed to complete a college level course in mathematics. Topics covered are operations with whole numbers, fractions, mixed numbers, decimals, signed numbers, percent, ratios, proportions, algebraic expressions, linear equations/ inequalities, exponents, square roots, and polynomials. Students will work with basic geometric formulas and basic descriptive statistics. Students will also manipulate formulas; convert between different units of measure; solve word problems; interpret/ analyze data; perform basic graphing techniques; perform operations with real numbers and polynomials; graph linear equations; solve linear equations, inequalities, linear- equation systems and quadratic equations; factor polynomials; and recognize basic functions and their related notations. Calculators will not be used in this course until the end of the term. This course is enhanced with web-based technology enabling self- paced learning. Students may take this course in multiple semesters until all concepts have been mastered. Course offered every semester. Credits do not count toward degree requirements. Successful completion of this course requires a grade of “C” or better.

This is an applied course in Euclidean geometry stressing calculator manipulation and problem solving. The topics include linear, area, and solid measures involving US and SI units, solutions of linear equations, proportional relationships, congruent and similar figures, properties of polygons, circles, and ellipses. Prerequisites: Successful completion of: MATH090M with a grade of “C” or better, satisfactory placement test scores, or permission from the Mathematics Program Coordinator, the Department Chair, or a full time mathematics faculty member.

This is an applied course in Euclidean geometry stressing calculator manipulation and problem solving. The topics include linear, area, and solid measures involving US and SI units, solutions of linear equations, proportional relationships, congruent and similar figures, properties of polygons, circles and ellipses, and selected subtopics related to the student’s major field of study. Numerical Geometry - Corequisite is designed for students who need practice in foundational skills while engaging in college-level study of mathematics and problem solving skills. Weekly lab sessions will reinforce skills and topics directly related to the lecture and assignments.

Mathematical Investigations is an introduction to various branches of mathematics, including number theory, functions and modeling, geometry, and probability and statistics. The course will focus on some of the most interesting ideas in the history of mathematics and various applications, including the infinitude of the primes, the non-denumerability of the real numbers, different sizes of infinity, golden rectangles, non-Euclidean geometry, and measuring risk. Students will complete research projects in areas such as cryptography, platonic solids, topology, chaos and fractals, and different voting methods. The course emphasizes mathematical thinking, habits of the mind, and problem solving. These strategies will allow you to apply mathematics to real-life situations. Along the way, you will confront issues that challenge your intuition and even experience mathematical questions that have remained unsolved for hundreds of years. The course is student centered and focuses on activity-based instruction that integrates technology. Prerequisites: (1) SAT Mathematics Score ≥ 530 OR (2) SAT Mathematics Score ≥ 450 with required mathematics workshop OR (3) Successful completion (with a grade of “C” or better) of Fundamentals of Mathematical Literacy or Fundamentals of Mathematical Literacy for STEM Fields OR (4) written permission of mathematics advisor.

This is a CCSNH Access course and will display on transcripts, count as credits attempted, and count towards the cumulative grade point average for all seven colleges: Great Bay, Lakes Region, Manchester, Nashua, NHTI, River Valley, and White Mountains. Students cannot receive credit for more than one of the CCSNH Access courses or equivalents and the most recent course on the college transcript will be used in the cumulative grade point average (CGPA) calculation. For graduation residency purposes, only Access courses owned by the campus where the student is matriculated will be used to meet the requirements.

This course is designed to help the student learn the mathematics needed to perform personal and business operations effectively and efficiently. Students will use mathematics in applications involving investments, retailing and accounting practices, and financial statements. Prerequisites: Successful completion of the course: MATH090M with a grade of “C” or better, placement or permission from the Mathematics Program Coordinator, the Department Chair, or a full time mathematics faculty member.

Provides students with the basic algebra and trigonometry manipulatives to compute solutions in their curricula. Algebra topics offered are signed numbers, polynomial operations, solutions of linear equations involving numerical and literal terms, word problems and formula manipulation. Trigonometric topics and trigonometric ratios as applied to right triangles and computation of measures in oblique triangles, using the Law of Sines and the Law of Cosines. Prerequisite: MATH111M with a grade of “C” or better or permission of the instructor. Offered every semester.

This course is designed to expose the student to a wide range of mathematics topics. 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 solving applied problems. Topics to be covered include Set Theory, Logic, Number Theory and Systems, Equations and Functions, Personal Finance, Geometry and Measurement, Probability and Statistics, and selected subtopics related to the student’s major field of study. Prerequisite: Placement or permission of the full time mathematics faculty.

This course is designed to expose the student to a wide range of mathematics topics. 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 solving applied problems. Topics to be covered include Set theory, Logic, Number Theory and Systems, Equations and Functions, Personal Finance, Geometry and Measurement, Probability and Statistics, and selected subtopics related to the student’s major field of study. Quantitative Reasoning - Corequisite is designed for students who need practice in foundational skills while engaging in college-level study of mathematics and problem solving skills. Weekly lab sessions will reinforce skills and topics directly related to the lecture and assignments. Prerequisite: Placement or permission of the full time mathematics faculty.

This course prepares the student for higher level mathematics by covering topics in algebra including exponents, polynomials, factoring, rational expressions and equations, and linear or high- degree equations. Additional topics include solving quadratic, exponential, and logarithmic functions; composite and inverse functions; systems of linear equations using matrices; and systems of inequalities by graphing. Prerequisite: Successful completion of MATH090M with a grade of “C” or better, placement or permission from the Mathematics Program Coordinator, the Department Chair, or a full time mathematics faculty member.

This course prepares the student for higher-level mathematics by covering topics in algebra including exponents, polynomials, factoring, rational expressions and equations, and linear or high- degree equations. Additional topics include solving quadratic, exponential, and logarithmic functions; composite and inverse functions; systems of linear equations using matrices; and systems of inequalities by graphing. Intermediate Algebra — Corequisite is designed for students who need practice in foundational skills while simultaneously engaging in college-level mathematics and problem solving skills. Weekly lab sessions will reinforce skills and topics directly related to the lecture and assignments. Prerequisite: Placement or permission of the full time mathematics faculty.

This course covers the essentials of numerical algebra, geometry, and trigonometry and is designed for science, engineering, technology, computer science, and mathematics students. It provides a solid preparation for student toward Precalculus and Calculus track. A short review of elementary algebra is followed by an introduction to geometric and trigonometric functions. Applied problems are solved by integrating the above mathematical strategies. The trigonometric functions include ratios in solving right triangles and vector applications, and Law of Sines and Cosines in solving oblique triangles. Prerequisite: MATH151M or MATH151XM with a grade of “C” or better, placement or permission from the Mathematics Program Coordinator, the Department Chair, or a full time mathematics faculty member.

This course provides a mathematical foundation for the understanding of set theory, abstraction and formal proofs. Topics include: sets; subsets and their operations; logic; counting; Boolean algebras; induction; groups; discrete functions; recursion; graphs; trees and the study of algorithms. Prerequisite: Placement as defined by mathematics faculty; MATH155M with a grade of “C” or better, or permission of the instructor. Offered spring semester only.

This course focuses on the knowledge and skills necessary for study of Calculus. Students will study: logarithmic; exponential and trigonometric functions; complex numbers, conic sections and analytic trigonometry; determine and write linear equations in several forms; explain graph functions using symmetry tests; recognize and graph functions including quadratic, polynomial, rational, exponential and logarithmic functions; use function transformation techniques; perform composition and arithmetic operations of functions; find and graph inverses of functions; use properties of logarithms. Prerequisite: Placement as defined by mathematics faculty, MATH155M with a grade of “C” or better, or permission of the instructor. Offered every semester.

This course covers mathematical ideas important to students of business and social sciences. Topics include a review of linear equations, systems of equations and inequalities, mathematics of finance, sets and counting, an introduction to probability, matrix algebra, linear programming. This course may include other topics such as logic or game theory when time permits.

Prerequisites:  Satisfactory placement.

In this course students study various topics including basic measure of central tendency and variability, frequency distributions, probability, the binomial distribution, the normal distribution, sampling of distributions, estimation of parameters, confidence levels and hypothesis testing, non-parametric tests, simple regression and correlation analysis. Prerequisites: Satisfactory placement test scores as defined by the mathematics faculty or successful completion of the course: MATH145M or MATH145XM with a grade of “C” or better, placement or permission from the Mathematics Program Coordinator, the Department Chair, or a full time mathematics faculty member.

This is the first course in the Calculus sequence. Topics include exploration of limits, continuity and derivatives of algebraic, trigonometric, exponential and logarithmic functions. These basic concepts are further developed in applications of differentiation including particle motion, related rates and optimization. Integration is introduced through the study of definite and indefinite integrals and area. Prerequisite: Placement or MATH171M with a grade of “C” or better or permission of the instructor.

This course focuses on the theory and application of numerical techniques using MATLAB, reinforcing and building off a student’s prior mathematics skills. The course allows the student to preview and gain intuitive understanding of more advanced mathematical concepts and explore the power and limitations of modern computation through real world applications and demonstrates the ways in which mathematical algorithms and computation influence society. Using MATLAB students will use state-of-the-art computational tools for error analysis, matrix manipulation, interpolation, data visualization, numerical integration, curve fitting, statistical analysis, and numerical methods of solutions of linear differential equations. Computer solutions are emphasized. Prerequisite: MATH170M, MATH171M, or MATH202M with a grade of C or better.

This course is a continuation of Probability and Statistics and is intended to further the student’s knowledge in the application of current statistical practices for the analysis of data. Major topics include exploratory data analysis, univariate statistical analysis, multivariate statistics, multiple regression, factor analysis, and analysis of variance. Emphasis will be placed on applications of statistical procedures, reporting on findings, and visualization of data. Prerequisite: MATH202M with a grade of “C” or better.

This the second course in the Calculus sequence. Topics include definite and indefinite integration, integration of elementary transcendental functions, improper integration and series including Taylor and Maclaurin series. Methods of integration are studied. Concepts are reinforced with applications including areas and volumes of revolution, work, arc length, centroids and power series representation of functions. Prerequisite: Placement or MATH204M with a grade of “C” or better or permission of the instructor.

An introduction to mathematical language through reading and writing mathematical proofs with a focus on set theory and logic.  This is a writing intensive course with topics selected from various branches of mathematics such as discrete, number theory, modern algebra, linear algebra, and real analysis. Prerequisite:  Calculus I with a grade of “C” or higher or permission of the instructor.

This course covers the linear systems of equations, matrix operations, determinants, linear dependency, vector space, linear transformations, eigenvalues and orthogonality. Proofs by mathematical induction and contradiction are integrated into the course curriculum. Prerequisite: Satisfactory placement test scores as defined by mathematics faculty, or MATH204M with a grade of “C” or better, or permission of the instructor.

This course in differential equations will include: theory; solutions methods and selected applications of ordinary differential equations. Topics include fundamental methods of solving ordinary first- and second- order differential equations; essentials of linear algebra; Laplace transforms and series solutions. Prerequisite: MATH214M with a grade of “C” or better or permission of the instructor.

Extends the study of calculus to several variables. Topics include: a study of vectors, vector algebra and vector functions; partial differentiation; chain rule; extrema; transformations; gradient, divergence and curl; curves and surfaces; multiple, line and surface integrals; divergence, Green’s and Stoke’s theorem. A graphing calculator will be required. Prerequisite: MATH214M with a grade of “C” or better or permission of the instructor.

Taken in a student’s final semester of study, the Mathematics Capstone provides students with an opportunity to synthesize the knowledge gained in their previous coursework. Students develop and personalize an individual research topic/project based on an area of interest. The individualized project will require students to demonstrate proficiency in research, critical thinking and communication as well as an awareness of global perspectives. Students will be expected to consult with faculty in their area of interest in an advisory capacity. Prerequisites: Completion of a minimum of 48 credits including ENGL110M, MATH220M, MATH222M and CIS122M (C++ Programming) with a grade of “C” or better.