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- Mathematics (BA)
B.A. in Mathematics
Students must complete or demonstrate the following before declaring a major in Mathematics:
1. A letter of interest sent to the Mathematics Program Director.
2. One of the following:
a. A grade of A in MAT 130, Precalculus, or
b. A grade of B or higher in MAT 150, Calculus I, or
c. A grade of C or higher in MAT 205, Calculus II.
3. A cumulative grade point average of 2.5 or higher.
4. A letter of recommendation from one of the student's mathematics instructors. This letter is to focus on the student's creativity and potential for thriving as a mathematics major.
The Bachelor of Arts degree in Mathematics provides students with a foundation in mathematics and statistics, preparing them for a wide range of career and educational opportunities.
Summary of Requirements
|Major and Related Courses||45-48|
|Free Elective Courses||34-37|
Required pre-major course 4 hoursTo be taken during freshman year:
Required mathematics courses 39-42 hours
Elective mathematics courses 6 hoursChoose from the following:
MAT 130 - Precalculus (4)
This course emphasizes the meaning and application of the concepts of functions. It covers polynomial, rational, exponential, logarithmic and trigonometric functions and their graphs, trigonometric identities. Passing both MAT 125 and 126 is equivalent to passing MAT 130.
Prerequisites: A grade of C or above in MAT 055 or the equivalent, a satisfactory score on appropriate placement exam, or permission of the Mathematics Program Director.
MAT 150 - Calculus I (4)
Limit processes, including the concepts of limits, continuity, differentiation, the natural logarithm and exponential functions, and integration of functions. Applications to physical problems will be discussed.
Prerequisite: A grade of C or better in either MAT 126 or MAT 130.
MAT 205 - Calculus II (4)
Applications of integration, inverse functions, and hyperbolic functions. Techniques of integration, sequences, series of numbers and functions, and Taylor series.
Prerequisite: A grade of C of better in MAT 150.
MAT 206 - Calculus III (4)
Vectors, partial derivatives, multiple integrals, line integrals, Green's Theorem, the Divergence Theorem, and Stokes Theorem. Applications to physical problems will be given.
Prerequisite: A grade of C or better in MAT 205.
MAT 210 - Mathematical Proofs (3)
A study of functional principles and proof techniques. Topics will include statements, consequence, proof, sufficient and necessary conditions, contraposition, induction, sets, relations, functions, cardinality, divisibility, prime numbers, congruence, Fermat's Theorem, counting principles, permutations, variations, combinations, binomial coefficients, graphs, planar and directed graphs, and graph coloring.
Prerequisite: A grade of C or better in MAT150
MAT 307 - Linear Algebra (3)
This course covers the fundamental concepts of vector spaces, linear transformations, systems of linear equations, and matrix algebra from a theoretical and a practical point of view. Results will be illustrated by mathematical and physical examples. Important algebraic (e.g., determinants and eigenvalues), geometric (e.g., orthogonality and the Spectral Theorem), and computational (e.g., Gauss elimination and matrix factorization) aspects will be studied.
Prerequisite: MAT 205 or permission of the Mathematics Program Director.
MAT 313 - Introduction to Probability (3)
This course is the first part of a two-semester sequence with MAT 314, with a focus on basic probability. It covers descriptive statistics, sample spaces and events, axioms of probability, counting techniques, conditional probability and independence, distribution of discrete and continuous random variables, joint distributions, and the central limit theorem.
Prerequisites: MAT 205
MAT 314 - Applied Statistics I (3)
This course is the second part of a two-semester course sequence with MAT 313, with a focus on applied statistics. It covers basic statistical concepts, graphical displays of data, sampling distribution models, hypothesis testing, and confidence intervals. A statistical software package is used.
Prerequisite: MAT 313
MAT 320 - History of Mathematics (3)
A survey of the history of mathematics from antiquity through modern times.
Prerequisite: MAT 205.
MAT 328 - Differential Equations (3)
Ordinary differential equations of first-order and first-degree, high order linear ordinary differential equations with constant coefficients, and properties of solutions.
Prerequisites: MAT 206, 307
MAT 340 - Introduction to Number Theory (3)
A study of properties of integer numbers. Divisibility of integers, primes and greatest common divisors, congruencies, Euclidean algorithm, Euler Phi-function, quadratic reciprocity and integer solutions to basic equations, Diophantine equations, and applications to cryptography and primality testing.
Prerequisite: MAT 210
MAT 348 - Introduction to Cryptography (3)
This is an introductory course in cryptography. It covers classical cryptosystems, Shannon's perfect secrecy, block ciphers and the advanced encryption standard, RSA cryptosystem and factoring integers, public-key cryptography and discrete logarithms, and linear and differential cryptanalysis.
Prerequisites: MAT 130 and MAT 140; or MAT 150; or permission of the instructor.
MAT 360 - Intro to Operations Research (3)
This course covers linear programming, the simplex algorithm, duality theory and sensitive analysis, network analysis, transportation, assignment, game theory, inventory theory, and queuing theory.
Prerequisites: MAT 140, or MAT 150; or permission of the instructor
MAT 361 - Numerical Analysis (3)
Numerical differentiation, integration, interpolation, approximation of data, approximation of functions, iterative methods of solving nonlinear equations, and numerical solutions of ordinary and partial differential equations.
Prerequisites: ITS 110 or the equivalent; MAT 206; or permission of the department chair
MAT 403 - Senior Capstone in Mathematics (3)
This course is for mathematics majors in their last year of the program, and is intended to introduce students to research and literature in mathematics. Students will produce two major products: (1) a literature review research paper on an approved topic of their choice; and (2) an ASL presentation based on their final research paper.
Prerequisite: Permission of the instructor.
MAT 410 - Foundations of Geometry (3)
A survey of Euclidean, non-Euclidean, and other geometries. The emphasis will be on formal axiomatic systems.
Prerequisite: MAT 150, 210; or permission of the instructor
MAT 414 - Applied Statistics II (3)
This course covers statistical techniques with applications to the type of problems encountered in real-world situations. These topics include categorical data analysis, simple linear regression, multiple regression, and analysis of variance. A statistical software package is used.
Prerequisite: A grade of B or above in MAT 314; or permission of the instructor.
MAT 434 - Abstract Algebra (3)
An axiomatic treatment of groups, rings, and fields that bridges the gap between concrete examples and abstraction of concepts to general cases.
Prerequisite: MAT 206, 210, 307, or permission of the the Mathematics Program Director.
MAT 445 - Introduction to Complex Analysis (3)
This is an introductory course in complex analysis. The algebra of complex numbers, analytic functions, contour integration, Cauchy integral formula, theory of residues and poles, and Taylor and Laurent series.
Prerequisite: MAT 206 and MAT 210, or permission of the instructor
MAT 451 - Internship (3)
This is a one-semester internship in which the student works for at least 60 hours in an applied mathematical or statistical setting under the supervision and guidance of the course instructor and on-site professionals in the field.
Prerequisite: Mathematics major and permission of the instructor.
MAT 455 - Advanced Calculus I (3)
This course is the first part of a two-semester course sequence with MAT 456. This course covers a theoretical approach to calculus of functions of one and several variables. Limits, continuity, differentiability, Reimann integrability, sequences, series, and contour integration.
Prerequisites: MAT 206, 210, 307
MAT 456 - Advanced Calculus II (3)
This course is the second part of a two-semester course sequence with MAT 455. This course covers a theoretical approach to calculus of functions of one and several variables. Limits, continuity, differentiability, Reimann integrability, sequences, series, and contour integration.
Prerequisite: MAT 455
MAT 495 - Special Topics (1-5)
Special topics in the discipline, designed primarily for seniors who are majors or minors. Students may enroll in 495 Special Topics multiple times, as long as the topics differ.
Prerequisite: Permission of the department chair