Liberal Studies Major: Mathematics Emphasis | 12 units |

MTH 265: Introduction to Statistics A basic statistics course applicable to education, business, and the hard sciences, this course will include topics such as descriptive statistics, the normal, binomial, F-, and Chi-squared distributions, and hypothesis testing. Optional topics might include additional non-parametric tests and ANOVA. A TI-83 graphing calculator or Microsoft Excel is required. | 3 |

*Choose ***at least nine units** from the following courses: |

MTH 271: Calculus 1 A study of 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. | 5 |

MTH 272: Calculus 2 A continuation of Calculus 1, this course will include a study of integral calculus with and emphasis on the definite integral, transcendental functions along with applications, sums 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: MTH 271 or acceptable AP examination credit. | 5 |

MTH 295: Mathematical Notation and Proof 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. | 3 |

MTH 376: Discrete Mathematics 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: MTH 295 or approval of instructor. Offered in alternate years. | 3 |

MTH 387: Theory of Probability 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: MTH 373 or approval of instructor. Offered in alternate years. | 3 |

MTH 420: Number Theory This course provides a developmental study of natural numbers and the integers including mathematical induction, prime numbers, divisibility, congruence, Diophantine equations, and selected theorems and applications of Fermat, Wilson, Euler, Legendre, and Gauss as they relate to programs of today. Prerequisite: MTH 295 or approval of instructor. Offered in alternate years. | 3 |

MTH 471: Linear Algebra This course will study matrices, determinants, vector spaces, inner products, linear transformations, eigenvectors, including matrices, linear programming, difference equations, and other techniques from discrete mathematics. Prerequisite: MTH 373 or approval of instructor. Offered in alternate years. | 3 |

MTH 473: Modern Algebra This course will study the properties and operations within groups, rings, integral domains, fields, normal subgroups, quotient groups, homomorphism's and isomorphism's. Prerequisite: MTH 373 or approval of instructor. Offered in alternate years. | 3 |

MTH 495: Topics in Mathematics - Review This capstone course will meet weekly to review major competencies in the math major, take group-wide assessments, and complete a written project including a presentation to a committee of peers and selected faculty. Prerequisite: senior standing. | 1.5 |

MTH 496: Topics in Mathematics - Final 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. | 1.5 |