Mathematics

Fundamentals of Mathematical Literacy is a course that develops students’ problem-solving and logical reasoning skills to prepare them for college level mathematics courses. Topics addressed include numeracy, proportional reasoning, geometry and measurement, equality, algebraic reasoning, graphing, linear equations and introductory statistical topics. Upon completing Fundamentals of Mathematical Literacy, students will be prepared to enter Statistics I, Mathematical Investigations, or other introductory Liberal Arts mathematics courses. The course is student centered and focuses on developing quantitative literacy skills through activity-based instruction that integrates technology (e.g., graphing technology, manipulatives) and emphasizes the conceptual understanding of the mathematical concepts studied. Much of the course will focus on the misconceptions that students have developed over their mathematical careers. Multiple assessments tools will be used to measure the course competencies and may include on-going formative assessments, portfolios, quizzes, exams, and projects/investigations.

*credits do not apply toward Associate degree requirements

(STEM – Science/Technology/Engineering/Mathematics) Fundamentals of Mathematical Literacy for STEM fields is a developmental mathematics course that develops students’ problem-solving and logical reasoning skills to prepare them for college-level mathematics courses needed for STEM fields. Topics addressed include introduction to functions, polynomials, linear and quadratic functions and equations, basic geometric topics, and introductory statistical concepts. Upon completing Fundamentals of Mathematical Literacy for STEM, students will be prepared to enter Functions and Modeling I (college-algebra and trigonometry course), or other introductory Liberal Arts mathematics courses. The course is student centered and focuses on developing quantitative literacy skills through activity-based instruction that integrates technology (e.g., graphing technology, manipulatives) and emphasizes the conceptual understanding of the mathematical concepts studied. Much of the course will focus on the misconceptions that students have developed over their mathematical careers. Multiple assessments tools will be used to measure the course competencies and may include on-going formative assessments, portfolios, quizzes, exams, and projects/investigations.

*credits do not apply toward Associate degree requirements

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.

**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 will cover linear models, matrix theory, linear programming, combinations, and math of finance.

A course in the calculus of functions of more than one variable usually follows a year of calculus involving functions of only one variable. This course will commence with discussions of vectors and vector value functions. Partial differentiation, multiple integration, and vector operators including gradient, divergence, and curl and related integral theorems: Green's theorem, the divergence theorem, and Stokes' theorem will be introduced, and applications will be included throughout.

This course contains both theory and computational skills needed to study vector spaces, linear transformations, diagonalization, eigenvalues, and orthogonality. Students are expected to develop the ability to reason through and coherently write up proofs of theorems as well as develop computational skills.

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.    

**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. 

Ordinary Differential Equations with Linear Algebra is an introductory course in differential equations.  Topics include first-order differential equations; higher-order differential equations; series solutions; The Laplace Transform; matrix algebra, Gaussian and Gauss-Jordan elimination, eigenvalues, and eigenvectors; systems of linear first-order differential equations; and selected applications.  Student centered, the course focuses on activity-based instruction that integrates technology and emphasizes the conceptual understanding of the concepts studied.