# Mathematics Major Courses

## Required Courses for the BA in Mathematics

MATH 1801

## Calculus

A study of the calculus of functions of a single variable. Topics may include techniques and application of differentiation, basic techniques of integration, applications of integration, elementary numerical integration, improper integrals and I'Hopital's Rule.

MATH 1802

## Intermediate Calculus

A continuation of the study of the calculus of functions of a single variable. Topics may include more advanced techniques of integration, infinite sequences and series, power series (including Taylor and Maclaurin series), parametric equations and polar coordinates. Prerequisite: MATH 1801.

MATH 2535

## History of Mathematics

A historical integration of mathematical ideas, content, settings and biography, with particular attention to values of invention, creativity, and application, as well as the influence of classical mathematics on recent developments. Prerequisite: MATH 1801 or MATH 1701.

MATH 1400

## Introduction to Programming

Same as CIS 1400. A study of basic skills for computer programming. Students will utilize the programming process to design and create original artifacts using basic programming elements. An introduction to data, objects, and issues of privacy and ethics is included.

MATH 2801

## Multivariable Calculus

A study of the calculus of functions of two or more more variables and of vector-valued functions. Topics may include techniques and applications of differentiation, techniques and applications of iterated integrals, line integrals and surface integrals, Green's Theorem, Stoke's Theorem and the Divergence Theorem. Prerequisite: MATH 1802.

MATH 2900

## Intro to Mathematical Proofs

An introduction to reading and writing mathematical proofs. Proof techniques and methods will be applied in areas that may include logic, sets, relations, functions, continuity, convergence, and countability arguments. Prerequisite: MATH 1701 or MATH 1801.

MATH 3501

## Linear Algebra

A study of the theory and applications of vector spaces, linear transformations, and matrices. Prerequisite: MATH 1701 or MATH 1801.

MATH 3533

## Abstract Algebra

A study of basic algebraic structures, including groups, rings and fields. Prerequisites: MATH 2900 and MATH 3501.

MATH 3541

## Advanced Calculus

Rigorous treatment of real numbers, elements of set theory, sequences, limits, continuity, differentiation, and integration. Prerequisites: MATH 1802 and MATH 2900.

MATH 4400

## Capstone Experience

Same as CIS 4400. A capstone experience for advanced mathematics, mathematical finance or computer science majors to integrate content learned in courses spanning the major, including analysis, synthesis, and evaluation of learned knowledge, in a project having a professional focus and effective communication of the results of the study. Course requirements also include a satisfactory score on a major field achievement test. Prerequisite: Junior or Senior Mathematics, Mathematical Finance or Computer Science Major.

## THREE Electives from Mathematics at or above 3000 level (9 hours)

## Required Courses for the BS in Mathematics

MATH 1801

## Calculus

A study of the calculus of functions of a single variable. Topics may include techniques and application of differentiation, basic techniques of integration, applications of integration, elementary numerical integration, improper integrals and I'Hopital's Rule.

MATH 1802

## Intermediate Calculus

A continuation of the study of the calculus of functions of a single variable. Topics may include more advanced techniques of integration, infinite sequences and series, power series (including Taylor and Maclaurin series), parametric equations and polar coordinates. Prerequisite: MATH 1801.

MATH 2535

## History of Mathematics

A historical integration of mathematical ideas, content, settings and biography, with particular attention to values of invention, creativity, and application, as well as the influence of classical mathematics on recent developments. Prerequisite: MATH 1801 or MATH 1701.

MATH 1400

## Introduction to Programming

Same as CIS 1400. A study of basic skills for computer programming. Students will utilize the programming process to design and create original artifacts using basic programming elements. An introduction to data, objects, and issues of privacy and ethics is included.

MATH 2801

## Multivariable Calculus

A study of the calculus of functions of two or more more variables and of vector-valued functions. Topics may include techniques and applications of differentiation, techniques and applications of iterated integrals, line integrals and surface integrals, Green's Theorem, Stoke's Theorem and the Divergence Theorem. Prerequisite: MATH 1802.

MATH 2900

## Intro to Mathematical Proofs

An introduction to reading and writing mathematical proofs. Proof techniques and methods will be applied in areas that may include logic, sets, relations, functions, continuity, convergence, and countability arguments. Prerequisite: MATH 1701 or MATH 1801.

MATH 3501

## Linear Algebra

A study of the theory and applications of vector spaces, linear transformations, and matrices. Prerequisite: MATH 1701 or MATH 1801.

MATH 3533

## Abstract Algebra

A study of basic algebraic structures, including groups, rings and fields. Prerequisites: MATH 2900 and MATH 3501.

MATH 3541

## Advanced Calculus

Rigorous treatment of real numbers, elements of set theory, sequences, limits, continuity, differentiation, and integration. Prerequisites: MATH 1802 and MATH 2900.

MATH 4400

## Capstone Experience

Same as CIS 4400. A capstone experience for advanced mathematics, mathematical finance or computer science majors to integrate content learned in courses spanning the major, including analysis, synthesis, and evaluation of learned knowledge, in a project having a professional focus and effective communication of the results of the study. Course requirements also include a satisfactory score on a major field achievement test. Prerequisite: Junior or Senior Mathematics, Mathematical Finance or Computer Science Major.

## THREE Electives from Mathematics at or above 3000 level (9 hours)

## ONE of the following tracks (6-8 hours):

PHYS 2521

## General Physics I

An algebra-based introduction to Newtonian mechanics, conservation laws, motion, energy, and mechanical and thermal properties of matter. This course emphasizes quantitative problem-solving that requires mathematical skills comparable to MATH 1516 Pre-Calculus. Lecture and laboratory.

PHYS 2522

## General Physics II

An algebra-based introduction to wave motion, sound, light, electricity magnetism, and nuclear processes. This course emphasizes quantitative problem-solving that requires mathematical skills comparable to MATH 1516 Pre-Calculus. Lecture and Laboratory.

CHEM 1501

## General Chemistry I

A study of the fundamental principles of chemistry, including atomic and molecular structure, nomenclature, stoichiometry, thermochemistry, gases, bonding, and periodicity. Lecture and Laboratory.

CHEM 1502

## CHEM 1502 Lab

ACC 1901

## Principles of Accounting I

A study of the accounting principles with emphasis on the use and analysis of financial information for decision-making purposes.

ACC 1902

## Principles of Accounting II

A continuation of the study of accounting principles from a user's perspective with an introduction to the internal information needs of management. Prerequisite: ACC 1901.

ECON 1901

## Principles of Economics I

A study in the foundations of economic analysis, national income accounting, economic growth, and the public sector, with emphasis on macroeconomics

ECON 1902

## Principles of Microeconomics

A study of markets, the price systems and allocation of resources, distribution of income, international economy, and perspectives on economic change, with emphasis on microeconomics.