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Mathematics Minor

School of Arts and Sciences

Curriculum

Students who select the Mathematics minor must take CMTH 101 in general education.

  • Mathematics Minor
  • 17-18 Units
  • 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.

  • Choose two of the following courses:
  • 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 376: Discrete Mathematics
  • 3

This course will include the study of relations and functions, graph theory, counting principles and combinatorics, set theory, Boolean algebra, code theory, linear programming, and other selected topics. Prerequisite: C- or better in MTH 271. 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 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 420: Number Theory
  • 3

This course will provide a developmental study of natural numbers and the integers including mathematical induction, prime numbers, divisibility, congruence, and Diophantine along with selected theorems and applications of Fermat, Euler, and Gauss as well as modern applications of number theory. Prerequisite: MTH 295 or approval of instructor. 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.

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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