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  • Mathematics Major
  • 46 Units
  • CSC 104: Fundamentals of Programming
  • 4

This course covers the basic principles of computer programming and algorithm design using the C# programming language. The class addresses basic language syntax, branching, looping, exceptions, I/O, string processing, best practices, and tools for writing quality computer programs. It also introduces the process of turning a program that was written in a high-level language into an intermediate language and how the operating system then loads and executes it. Students in the class will be able to write elementary programs that will run on the Microsoft .NET Framework and the open source equivalent, Mono.

  • MTH 271: Calculus I
  • 4

This course will study differential and integral calculus in one variable through graphical, numerical and symbolic methods. Limits, continuity, derivatives, and integrals will be studied with algebraic, trigonometric, exponential and logarithmic functions, including applications using calculus to solve problems. Prerequisite: A passing score on the Calculus Placement Exam, or consent of the department chair.

  • MTH 272: Calculus II
  • 4

A continuation of MTH 271, this course will include a study of methods of integration, applied to algebraic and transcendental functions. Solids of revolution, definite and indefinite integrals, Taylor polynomials, sequences and series, will be studied including applications using calculus to solve problems. Prerequisite: C- or better in MTH 271 or acceptable AP examination credit.

  • MTH 313: Mathematics Notation and Proof
  • 3

This course will introduce standard mathematical notation, methods, truth tables, and principles of symbolic logic for use in determining the validity of arguments, dealing with proper notation and structure in mathematical proofs including direct and indirect proofs, mathematical induction, and construction of counter-examples. Application will be made to a field of mathematics such as set theory, algebra, or geometry. Prerequisite: C- or better in MTH 272.

  • MTH 371: Linear Algebra
  • 3

This course will study properties of matrix arithmetic, systems of linear equations, determinants, vector spaces, linear transformations, diagonalization, inner products, and applications of these topics. Prerequisite: C- or better in MTH 272.

  • MTH 373: Calculus III
  • 4

As a continuation of MTH 272, this course will include the study of vector calculus, three-dimensional calculus, partial derivatives, multiple integrals, differential calculus, and other selected topics in vector calculus. Prerequisite: C- or better in MTH 272.

  • MTH 384: Ordinary Differential Equations
  • 3

This course will cover the classification of differential equations along with first order equations, exact differentials, integrating factors, higher order differential equations, method of undetermined coefficients, variation of parameters, operator methods, solution by infinite series, and Laplace transformations. Prerequisite: C- or better in MTH 272. Offered alternate years.

  • MTH 387: Probability and Statistics I
  • 3

This course will look at the probability and combinatorics; discrete and continuous random variables; the normal, gamma, Chi-square, Poisson, and binomial distributions with applications. Prerequisite: C- or better in MTH 373 (concurrent enrollment allowed). Offered alternate years.

  • MTH 473: Modern Algebra I
  • 3

This course will study the properties and operations within groups, rings, integral domains, fields, normal subgroups, quotient groups, homomorphisms, and isomorphisms. Prerequisite: C- or better in MTH 313. Offered alternate years.

  • MTH 489: Real Analysis
  • 3

This course will provide an introduction to the advanced study of the real number system, and the ideas and proof techniques specific to mathematical analysis. Topics include properties of the real numbers, sequences, series, limits, continuity, and differentiation. Prerequisite: C- or better in MTH 313 and MTH 373. Offered alternate years.

  • MTH 495: Topics in Mathematics - Review
  • 1.5

As the first of two (2) capstone courses for all mathematics majors, students will meet as a group once per week to review competencies in the major, take group-wide assessments, and complete a preliminary research abstract on a topic of their choice as they work with a faculty mentor followed by a short presentation to their peers and faculty regarding their preliminary findings for reaction and feedback. Prerequisite: Senior standing.

  • MTH 496: Topics in Mathematics - Final
  • 1.5

As the second of two (2) capstone courses for all mathematics majors, students, working with a faculty mentor, will complete their research from MTH 495 on a written project and present their findings to a committee of peers and faculty. Inclusion of the research project in the President's Academic Showcase for Undergraduate Research is encouraged. Prerequisite: Senior standing.

  • Choose three of the following courses:
  • MTH 379: Numerical Analysis
  • 3

This course serves as an introduction to the basic algorithms of numerical analysis. Topics may include numerical solutions of algebraic equations, interpolation and approximation methods, approximate numerical solutions to systems of linear and non-linear equations, and numerical differentiation and integration. Prerequisite: C- or better in CSC 104 and MTH 272. Offered alternate years.

  • MTH 380: Modern Geometry
  • 3

This course will provide a general study of deductive systems of geometry including Euclidean, projective, finite, and other non-Euclidean geometries. Offered alternate years. Prerequisite: C- or better in AMTH 101 or CMTH 101 or MTH 201 or MTH 252 or MTH 271 or equivalent.

  • MTH 388: Probability and Statistics II
  • 3

A continuation of MTH 387, this course will cover various multivariate probability distributions, bias and unbiased estimators, Least Square estimation, ANOVA , Block Designs, and a revisit of hypothesis testing and a study of nonparametric statistics. Prerequisite: C- or better in MTH 387. Offered alternate years.

  • MTH 474: Modern Algebra II
  • 3

This course is a continuation of the study of the properties and operations within rings, integral domains, fields, quotient rings, groups, subgroups, homomorphisms and isomorphisms. Prerequisite: C- or better in MTH 473 or consent of instructor. Offered alternate years.

Current students, please note: The requirements listed here may not reflect the most current courses for this major and may not be the requirements for the catalog year you are following to complete your major. Please refer to the Academic Catalog for official requirements you must meet to qualify for a degree.

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