## 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.

### School of Arts and Sciences Program Requirements

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 of the following:**

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

### Mathematics Major Courses

MAT-225: Calculus I: Single-Variable Calculus

Calculus is the mathematical study of change that has widespread applications in science, engineering, economics and business. This course provides a rigorous introduction to single-variable calculus. Topics include limits, continuity, differentiation and integration of algebraic, trigonometric, exponential, and logarithmic functions, applications of derivatives, and integration, including the Fundamental Theorem of Calculus. This course will encourage students to think beyond memorizing formulas and to work towards understanding concepts.

MAT-275: Calculus II: Integration & Series

This course is a continuation of MAT 225 that deepens a student's understanding of single-variable calculus. Students will learn new techniques of integration, including substitution, integration by parts, partial fractions, and integration tables. This course will also extend a student's knowledge of addition. That is, students already know how to add two, three, or n numbers together but, in this course they will learn how to add an infinitely many numbers together. This will enable students to represent differentiable functions-including exponential, trigonometric and logarithmic functions-as functions that look like polynomials with infinitely many terms. In doing so, students will enhance their abilities to evaluate and estimate integrals. Finally, students will also learn about parametric curves and polar coordinates-both useful tools for describing the motion of moving objects such as projectiles, planets, or satellites-in order to apply single-variable calculus skills in additional settings.

Prerequisites:

MAT-225 with a grade of C or better

MAT-299: Mathematical Proof and Problem Solving

This course introduces students to the language and methods used to create and write mathematical proofs and solve problems. Methods of proof will include: direct, contrapositive, contradiction, and induction. Methods of problem solving will be based on Polya's four steps for problem solving. Students will learn about and utilize the many functions of proof including: verification, explanation, communication, discovery, justification, and inquiry. The course will also explore the relationship between problem solving and the process of proving. Students will explore fundamental abstract concepts in mathematics including: functions and relations, set theory, number theory, and logic.

Prerequisites:

MAT-230 with a grade of C or better

MAT-325: Calculus III: Multivariable Calculus

Many real-world applications of calculus in science, engineering, economics, and business employ functions with many variables. This course extends the basic concepts of single-variable calculus developed in MAT 225 and MAT 275 to functions of several variables. Topics include vectors, the geometry of space, vector-valued functions, motion in space, partial derivatives and multiple integrals.

Prerequisites:

MAT-275 with a grade of C or better

MAT-330: Differential Equations

Differential equations are useful in modeling real-world phenomenon involving rates of change such as the spread of disease, the change in a population, the free fall of an object, and the decay of a radioactive substance. This is a first course in differential equations. Topics include solving first- and higher-order differential equations and modeling with first- and higher-order differential equations.

Prerequisites:

MAT-211 or MAT-275 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 or MAT- 225 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 three of the following:**

MAT-200 Level Mathematics

**Excluding:** MAT-206, MAT-210, MAT-211, MAT-360, MAT-362, MAT-490, MAT-495, EDU-441 and any math courses already required as part of the mathematics major.

MAT-135: The Heart of Mathematics

In this course, students will consider beautiful and profound mathematical concepts on par with the great works of Shakespeare, Plato and Michelangelo in the realms of literature, philosophy and the arts. Topics may include numerical patterns in the nature, the golden rectangle, Platonic solids, topological equivalence, symmetry, prime numbers, infinity, fractals and other subjects.

### Free Elective Credits: 33

### Total Credits: 120