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Mathematics Minor

  • Mathematics Minor
  • 18-19 Units
  • MTH 271: Calculus I
  • 4

This course will study differential and integral calculus with applications including an emphasis on using calculus to solve problems. Lab time is included in the schedule. A graphing calculator is expected. Prerequisite: PreCalculus or Trigonometry (or equivalent).

  • MTH 272: Calculus II
  • 4

A continuation of MTH 271, this course will include a study of integral calculus with and emphasis on the definite integral, transcendental, parametric, and polar-functions along with their derivatives and integrals, series, and sequences, and an introduction to differential equations. A graphing calculator is expected along with the ability to use appropriate computer software. Lab time is included in the schedule. Prerequisite: C- or better in MTH 271 or acceptable AP examination credit.

  • Choose three 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 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 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 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 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 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.

  • 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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