Mathematics

The mission of the Mathematics program is to develop clear thinking and an appreciation of the indispensable role of the discipline in understanding our data-driven modern world. The following goals permeate program coursework. Specifically, through the courses in our program, students will develop:

  • the recognition that mathematics is a process, not a black box that merely presents the “correct” answer,
  • skills for exploring and understanding various mathematical models, from a variety of academic fields,
  • logical thinking skills,
  • facility with the appropriate uses of technology and in reading mathematics, and, perhaps most importantly,
  • the ability to share their work with the appropriate audience, both orally and in print.

Majors, Minors and Certificates

Courses

MT102: Basic College Mathematics

Credits 3
This course introduces basic, introductory mathematics required to be successful in other courses in Math, Sciences, Health Sciences, Computer Information Systems, Business, Economics, and other fields. With the focus on fundamental concepts and problem-solving skills, the course emphasizes solving real-world, practical problems. Technology tools are utilized where appropriate and available. Open to students from any major. Offered Fall

MT104: Contemporary Mathematics

Credits 3
This course aims to cultivate an understanding of mathematical reasoning, promote quantitative literacy, and develop problem solving skills by aiding the student in stating problems clearly, sorting out the relevant from the irrelevant, abstracting common properties from individual situations, and arguing coherently. Addresses GLE Learning Outcomes Mathematics, Problem Solving and Quantitative Literacy. Prerequisite: varies, depending upon prior mathematical background. Offered fall

MT130: Mathematics for K-8 Educators

Credits 3
Intended for students majoring in education and designed to help meet mathematics content standards from the New Hampshire Department of Education and to serve as a refresher in preparation for the Praxis Core Exams. Addresses GLE Learning Outcomes: Mathematics (MT), Problem Solving (PS) and Quantitative Literacy (QL). Offered fall

MT151: College Algebra

Credits 3
Develops manipulative algebraic skills and mathematical reasoning required for further study and use in mathematical modeling. Emphasis is placed on the understanding of mathematical concepts, functions, and their graphs. College Algebra addresses GLE Outcomes Mathematics (MT), Quantitative Literacy (QL), and Problem Solving (PS). Offered fall, spring

MT211: Discrete Mathematics

Credits 3
Provides an introduction to the mathematics of computing. Concrete topics include number systems, sets, functions, relations, and elementary Boolean Algebra. An exposure to abstract thinking is gained through the study of logic and proofs.

MT221: Calculus I - lab

Credits 4
The real power of calculus, the Fundamental Theorem of Calculus, is developed early in the course. A combination of the intuitive and theoretical approaches to the fundamental concepts of single variable calculus is used throughout. Prerequisite: four years of high school mathematics. Addresses GLE Learning Outcomes Mathematics (MT), Problem Solving (PS) and Quantitative Literacy (QL).

MT221L: Calculus I - lecture

Credits 0
The real power of calculus, the Fundamental Theorem of Calculus, is developed early in the course. A combination of the intuitive and theoretical approaches to the fundamental concepts of single variable calculus is used throughout. Prerequisite: four years of high school mathematics. Addresses GLE Learning Outcomes Mathematics (MT), Problem Solving (PS) and Quantitative Literacy (QL).

MT222: Calculus II Lab

Credits 4
The real power of calculus, the Fundamental Theorem of Calculus, is developed early in the course. A combination of the intuitive and theoretical approaches to the fundamental concepts of single variable calculus is used throughout. Prerequisite: four years of high school mathematics.

MT222L: Calculus II - lecture

Credits 0
The real power of calculus, the Fundamental Theorem of Calculus, is developed early in the course. A combination of the intuitive and theoretical approaches to the fundamental concepts of single variable calculus is used throughout. Prerequisite: four years of high school mathematics.

MT260: Statistics I

Credits 3
Collection, presentation, and interpretation of numerical data, frequency distributions, central tendency, dispersion, correlation, normal curve approximation, t-distribution, and chi-square. Emphasis is on hypothesis testing. Addresses GLE Learning Outcomes Mathematics (MT), Quantitative Literacy (QL), and Problem Solving (PS). Prerequisite: 3 years of high school mathematics or MT101 or MT151. Offered fall, spring

MT299: Independent Study in Mathematics

Credits 1 3
Independent Study-1-3 credits. Offers an opportunity to explore an area of study not included in the catalog listing of approved courses. The topic of an Independent Study should be selected and carefully designed by the student and faculty sponsor, and must meet with the approval of the Dean or Dean's designee. Normally, the student will be expected to have a cumulative grade point average of 3.00 and possess the appropriate background and interest to pursue the proposed area of study. A “Proposal for Independent Study” form may be obtained from the Registrar or Dean or Designee. Independent Study courses are assigned numbers of 299, 399 or 499, depending on the level of the course.

MT301: Introduction to Mathematical Proofs

Credits 1
Systematic development of the standard ingredients in a mathematical proof adequate to prepare students for reading and understanding proofs encountered in later coursework. Includes topics from Logic.

MT305: History of Mathematics

Credits 3

A study of the development of mathematics from the early Egyptian and Greek civilizations through the nineteenth century. There are three important components to the course: historical, biographical and mathematical. Students do mathematical problems of the times using the tools and knowledge appropriate for that period. Prerequisite: MT221.

MT315: College Geometry

Credits 3

Analysis of axiomatic systems. Euclidean and non-Euclidean as well as finite and infinite systems using axiomatic approaches. Prerequisite: MT222.

MT321: Calculus III

Credits 3

Advanced calculus, series, multiple integration, partial differentiation, differential equations. Prerequisite: MT222.

MT330: Intro to Differential Equations

Credits 3

Solution of elementary differential equations. How differential equations are used to model real-world processes. First-, second-, and higher-order linear differential equations. Prerequisite: MT222.

MT361: Modern Algebra I

Credits 3

A thorough study of finite, infinite, abelian, and cyclic groups. Cosets, normal subgroups, and factor groups. Homomorphisms, isomorphisms, and the Jordan-Holder Theorem. Prerequisite: MT222.

MT373: Probability & Mathematics Stats

Credits 3

Includes the fundamental concepts of probability, including conditional and marginal probabilities; discrete and continuous random variables, including the binomial; hypergeometric, Poisson, and normal random variables; mathematical expectations and moment-generating functions; and the applications of probability to such statistical topics as sampling distributions, confidence intervals, and/or tests of hypotheses. Prerequisite: MT222.

MT375: Introduction Operations Research

Credits 3

An introduction to the mathematics and applications of operations research, including a discussion of modeling, linear programming, integer programming, and network algorithms. Prerequisite: MT211 or MT222; MT311 recommended.

MT380: Mathematics Seminar

Credits 3
An exploration of current issues and interesting problems in mathematics such as Chaos and Fractals, Game Theory, Number Theory, etc. Discussion, problem-solving and student presentations.

MT381: Mathematics Seminar

Credits 3

An exploration of current issues and interesting problems in mathematics such as Chaos and Fractals, Game Theory, Number Theory, etc. Discussion, problem-solving and student presentations. Prerequisites: MT260 or PS260.

MT399: Independent Study in Mathematics

Credits 1 3
Independent Study-1-3 credits. Offers an opportunity to explore an area of study not included in the catalog listing of approved courses. The topic of an Independent Study should be selected and carefully designed by the student and faculty sponsor, and must meet with the approval of the Dean or Dean's designee. Normally, the student will be expected to have a cumulative grade point average of 3.00 and possess the appropriate background and interest to pursue the proposed area of study. A “Proposal for Independent Study” form may be obtained from the Registrar or Dean or Designee. Independent Study courses are assigned numbers of 299, 399 or 499, depending on the level of the course.

MT499: Independent Study in Mathematics

Credits 1 3
Independent Study-1-3 credits. Offers an opportunity to explore an area of study not included in the catalog listing of approved courses. The topic of an Independent Study should be selected and carefully designed by the student and faculty sponsor, and must meet with the approval of the Dean or Dean's designee. Normally, the student will be expected to have a cumulative grade point average of 3.00 and possess the appropriate background and interest to pursue the proposed area of study. A “Proposal for Independent Study” form may be obtained from the Registrar or Dean or Designee. Independent Study courses are assigned numbers of 299, 399 or 499, depending on the level of the course.