B.A. in Mathematics Degree - Curriculum

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Pamela Cohen

Take Courses in Mathematics that Teach You Analytical, Problem-Solving Skills

From calculus to algebra to statistics, the courses in mathematics that make up this bachelor’s degree program focus on helping you develop an advanced ability in mathematical methods, reasoning and problem solving. The faculty, who bring years of experience to the classroom as mathematicians and math educators, uniquely understand how to apply the theories, principles, and concepts that you’ll learn in these courses in mathematics towards real-world problems in business, economics, and the natural and social sciences.

All of the mathematics degree major courses required for this bachelor’s program, as well as the core B.A. curriculum classes, are offered on SNHU’s main campus in Manchester. To read the individual descriptions of all the courses in mathematics that make up this bachelor’s degree, simply click on the blue course numbers listed below.

Required Core Courses

General Education Program

Mathematics Degree Major Courses

MAT-211: Applied Calculus II
This course is a continuation of MAT 210. Topics include integration by parts, functions of several variables, trigonometric functions, techniques of integration, differential equations, Taylor polynomials and infinite series. Students will learn applications in business, economics, natural sciences and social sciences.
Prerequisites:
MAT-210 with a grade of C or better; or AP Calculus with exam grade of 3 or better
MAT-230: Discrete Mathematics
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. That is, in contrast to the real numbers that vary continuously, the objects of study in discrete mathematics take on distinct, separated values. Topics include operations on sets, logic, truth tables, counting, relations and digraphs, functions, trees and graph theory. A significant goal of this course is to improve students' critical-thinking and problem-solving skills.
MAT-300: Applied Statistics II: Regression Analysis
This is a second course in statistics that builds upon knowledge gained in MAT 240 or an AP statistics course. Students will learn to build statistical models and implement regression analysis in real-world problems from engineering, sociology, psychology, science, and business. Topics include multiple regression models (including first-order, second-order and interaction models with quantitative and qualitative variables), regression pitfalls, and residual analysis. Students will gain experience not only in the mechanics of regression analysis (often by means of a statistical software package) but also in deciding on appropriate models, selecting inferential techniques to answer a particular question, interpreting results, and diagnosing problems.
Prerequisites:
MAT-240 with a grade of C or better
MAT-350: Applied Linear Algebra
This is a first course in linear algebra and matrices. Topics include systems of linear equations, linear independence, matrices of linear transformations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors. After mastering the basic concepts and skills, students will use their knowledge of linear algebra to model a selection of applied mathematics problems in business, science, computer science and economics.
Prerequisites:
MAT-210 with a grade of C or better
MAT-380: Error-correcting Codes
Error-correcting codes play a hidden but central role in modern society, ensuring the accuracy of information stored in DVDs, hard drives and flash drives, and sent over cell phone, the internet and satellites among other digital technologies. A central problem in coding theory is devising a means to transmit information as correctly and efficiently as possible given the expected interference in channels such as wired and wireless networks. The modern-day discipline of coding theory began in 1948 when Claude Shannon proved, in a no constructive way, that there exist optimal codes that maximize both transmission rates and error-correction capabilities. Since then, theoretical mathematicians have been engaged in constructing and researching optimal codes. Topics in this pure math course include Shannon's Theorem on the existence of optimal codes, linear codes, double-error-correcting BCH codes, cyclic codes and Reed-Muller codes.
Prerequisites:
MAT-350 with a grade of C or better
MAT-415: Abstract Algebra
Algebra is concerned with sets of objects and operations on these sets. This course will take students beyond the real number and polynomials to groups and other algebraic structures. In a modern, or abstract algebra course, one assumes a small number of basic properties as axioms and then proves many other properties from the axioms. This will assist the student in becoming more proficient at proof-writing.
Prerequisites:
MAT-299 with a grade of C or better
MAT-470: Real Analysis
This course provides a theoretical foundation for single-variable calculus concepts. Topics include the structure of the real numbers, sequences,continuity, differentiation and Riemann integration. This course will be run as a seminar that emphasize problem solving, proof writing and orally defending proofs.
Prerequisites:
MAT-299 with a grade of C or better

Select Two of the Following:

EDU-441: Math Education Research and Practice
Topics in this course include research methods such as: case studies, interviews and action research. Students will engage in these types of research and analyze related research done in the field of mathematics education. Students will design and implement a research project based on the concepts learned in this class. The impact of research on policies and practices will be explored as students familiarize themselves with state and national standards and policies. Students will also learn how to interpret findings from research and relate them to classroom practices. The course will require 10 - 20 hours of field experience.
Prerequisites:
Must be enrolled in the Teacher Certification program
MAT-361: Geometry for Teachers
This course will examine concepts in Euclidean and non-Euclidean geometries. Course topics include: area and volume, congruence and similarity, properties of and relationships among geometric shapes and structures. The Pythagorean Theorem, and motion and symmetry. Students will engage with these concepts through proofs, problem solving, dynamic geometric software, and through activities used in middle school mathematics. Throughout the course students will be given opportunities to relate the mathematical concepts studied to the mathematical concepts they will be teaching.
Prerequisites:
MAT-299 with a grade of C or better
MAT-450: History of Math and Math Education
This course will look at the historical development of the disciplines of mathematics and mathematics education. Within the discipline of mathematics we will examine the development of number and number systems, geometry and measurement, algebra, probability and statistics, calculus, and discrete mathematics. Within the discipline of mathematics education we will examine the development of learning theories, theories of teaching mathematics, research trends, and mathematics curriculum. Throughout this course students will study the history of mathematics and mathematics education through readings, case studies, and problem sets.
Prerequisites:
Junior prereg status
MAT-495: Middle Grades Mathematics
This course is the mathematics capstone course for Middle School Mathematics Education majors. Students will spend time reflecting on the mathematics learned in previous courses through rich problems that draw on concepts from multiple disciplines in mathematics. The course will help students develop a deeper and more connected understanding of middle school mathematics content while continuing to develop their mathematical habits of mind and problem-solving strategies. Students will also spend time connecting their knowledge of mathematics education to national and state standards and policies regarding the mathematical education of students.
Prerequisites:
MAT-360, MAT-361 and MAT-362 with a grade of C or better
QSO-320: Management Science through Spreadsheets
This course introduces the student to mathematical techniques that may be used to aid decision-making. Topics may include linear programming, PERT, CPM, network analysis and others. Offered once a year.
Prerequisites:
MAT-240

Mathematics Degree Required Courses

MAT-210: Applied Calculus I
This is an introductory course in single-variable calculus. Topics include limits, continuity, derivatives, differentiation, integration and the Fundamental Theorem of Calculus. Students will gain experience solving real-world problems involving calculus, including problems in business, economics, natural sciences and social sciences.
MAT-240: Applied Statistics
This is a fundamental course in the application of statistics. In this course, students will learn to apply statistical techniques to a variety of applications in business and the social sciences. Students will learn how to solve statistical problems by hand and through the use of computer software. Topics include probability distribution functions, sampling distributions, estimation, hypothesis testing and linear regression.

AP, IB, or transfer credit for MAT 210, MAT 211, or MAT 240 may count toward Mathematics Major

School of Arts and Sciences Required Courses

GEO-200: World Geography
This course examines the implications of global location and topography for the people of planet Earth. Students will explore how geography shapes the dynamics of human societies, with an emphasis on the geoenvironmental, geopolitical, and geosocial phenomena that help to define the modern world. Global marker.
PHL-214: Formal Logic
This course is a study of the fundamental principles of correct and incorrect argument, historical forms of deductive logic, and the significance of language and clear verbalization. Offered as needed.

Select One

COM-341: Technical Writing
This course trains students to produce documents of a technical nature commonly found in a business context. Students are required to prepare a variety of technical reports, including audits, technical manuals and feasibility studies.
Prerequisites:
ENG-121, ENG-121H or ENG-200
ENG-330: Nonfiction Writing Workshop
This course introduces students to the basic skills and principles of writing creative nonfiction and magazine feature articles. Student-centered workshop critiques and frequent conferences with the instructor are the primary methods used in the course. The course includes significant reading assignments in nonfiction genres.
Prerequisites:
ENG-120 or ENG-120H
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