# Mathematics (B.A., B.S.)

Academically equivalent, both bachelor of art and bachelor of science will fully prepare you for a career in mathematics. If you choose to graduate with two majors, and one major is only offered as a B.A. or B.S., the second major should match the first degree. Mathematics majors seeking an education endorsement will receive a B.S. degree.

Courses |
34 hours |
---|---|

MATH 1600 Calculus I | 5 hours |

MATH 1610 Calculus II | 5 hours |

MATH 2200 Foundations of Modern Mathematics | 3 hours |

MATH 2600 Calculus III | 4 hours |

MATH 3200 Linear Algebra | 3 hours |

MATH 3300 Mathematical Statistics I | 3 hours |

MATH 3750 Numerical Analysis or MATH 3700 Mathematical Modeling |
3 hours |

MATH 4200 Abstract Algebra I | 4 hours |

MATH 4300 Real Analysis | 4 hours |

Math Elective | 3-4 hours |
---|---|

Select one of the following (may not use a course taken above as an elective): |

Capstone | 3 hours |
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MATH 4980 Mathematics Seminar | 3 hours |

Students seeking an education field endorsement in mathematics follow the above requirements with the following changes:

- Take MATH 3500 Geometry rather than MATH 4300 Real Analysis.
- Take EDUC 4870 Supervised Teaching in the Secondary School rather than MATH 4980 Mathematics Seminar.
- May use MATH 4300 Real Analysis or MATH 4980 Mathematics Seminar as part of the 3-4 hours of mathematics electives.

See the Nebraska Wesleyan University Department of Education for information regarding education courses required for teaching certification.

Required Supporting Program | 8 hours |
---|---|

CMPSC 1100 Python Programming I | 4 hours |

CMPSC 2100 Python Programming II or DATA 1200 Excel and SQL Programming | 4 hours |

***A Mathematics major may earn either a B.A. or B.S. degree. However, if a student has a first major that is associated with a different baccalaureate degree, the Mathematics major may serve as a second major for the degree associated with the first major (B.FA., B.M., B.S.N.). *

An introduction to computational problem-solving using Python. Hands-on labs are used to motivate basic programming concepts, including basic data types and structures, functions, conditionals, and loops. Additional topics may include building and scraping HTML webpages. The course is recommended for all who wish to explore data science and/or computer science.

*Prerequisite(s): Math ACT score of at least 21 or permission of instructor.*

A project-based continuation of the techniques developed in CMPSC 1100 Python Programming I. Topics include object-oriented programming, algorithm design and analysis, data structures, and general problem-solving techniques (such as recursion) while following industry-standard software development principles.

*Prerequisite(s): Grade of "C" or better in CMPSC 1100 Python Programming I or permission of instructor.*

A study of managing, manipulating, and summarizing data using Excel and SQL. Topics in Excel include, but are not limited to: functions, filters, charts and visualizations, pivot tables, and macros. Topics in SQL include, but are not limited to: queries, joins, and basic database management.

Students work with one or more regular teachers in a secondary school. They attend the student teaching seminar and conference with their college supervisor as directed.

*Prerequisite(s): Completion of preliminary student teaching requirements or approval of the department chair.*

An introduction to calculus of a single variable. Topics include limits, continuity, differentiation, and beginning integration with applications. Assignments are given that help build proficiency in the use of a computer algebra system.

*Prerequisite(s): Math ACT score of at least 27, or a grade of "C" or better in MATH 1470 Trigonometry or MATH 1400 Pre-Calculus, or permission of the instructor. *

(Normally offered each semester.)

A continuation of MATH 1600 Calculus I. Topics studied include integration techniques and applications, differential equations, numerical approximations, sequences and series, and vectors. Assignments are given that help build proficiency in the use of a computer algebra system.

*Prerequisite(s): Permission of the department chair or grade of "C" or better in MATH 1600 Calculus I. *

(Normally offered each semester.)

A course on the essential techniques of mathematical proof, such as case analysis, contradiction, and induction. Proofs will be written in the context of mathematical foundations (logic, sets, functions, etc.). Emphasis will be placed on developing the ability to write clear and precise arguments, which is useful for students in any major.

*Prerequisite(s): Grade of "C" or better in MATH 1600 Calculus I or permission of the instructor. *

(Normally offered each spring semester.)

An introduction to multivariable calculus. Topics include vector-valued functions, functions of several variables, partial derivatives, multiple integrals, and analysis. Assignments are given that help build proficiency in the use of a computer algebra system.

*Prerequisite(s): Permission of department chair or grade of "C" or better in MATH 1610 Calculus II. *

(Normally offered each fall semester.)

A study of ordinary differential equations. Topics include first- and higher-order, linear and nonlinear differential equations with applications. Additional topics may be chosen from systems of differential equations, transform techniques, and numerical methods. Use will be made of a computer algebra system.

*Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II. *

(Normally offered each spring semester.)

A study of vector spaces, determinants, linear transformations, matrices, matrix equations, and their applications in the natural and social sciences.

*Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II. *

(Normally offered each spring semester.)

An introduction to basic probability and statistics concepts with an emphasis on applications. Topics include descriptive statistics, probability, Bayes' Theorem, discrete and continuous probability distributions, joint probability distributions, estimation and hypothesis testing.

*Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.*

(Normally offered fall of even-numbered years.)

Selected topics from Euclidean and non-Euclidean geometry, geometry as a mathematical structure, and geometry as a study of invariants of set transformations.

*Prerequisite(s): Grade of "C" or better in MATH 2200 Foundations of Modern Mathematics. *

(Normally offered fall of odd-numbered years.)

A course that explores applications of mathematics to real-world problems. One or more topics may be chosen from the non-inclusive list: dynamical systems, linear programming, queueing theory, game theory, numerical analysis, wavelets, coding theory, and partial differential equations. Computer-based exercises will be a component of the course.

*Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.*

An introduction to the numerical approximation of solutions of various types of problems. Topics include root-finding, interpolation and numerical differentiation and integration. Additional topics may be drawn from numerical solutions of ordinary differential equations and linear systems.

*Prerequisite(s): Grade of "C" or better in MATH 1610 Calculus II.*

(Normally offered fall of odd-numbered years.)

A study of various algebraic systems arising in modern mathematics, such as groups and rings.

*Prerequisite(s): Grade of "C" or better in MATH 2200 Foundations of Modern Mathematics. *

(Normally offered fall of even-numbered years.)

A formal approach to limits, continuity, differentiation, and integration with emphasis on the proofs of theorems. Additional topics may include topology, uniform continuity, and uniform convergence.

*Prerequisite(s): Grade of "C" or better in MATH 2200 Foundations of Modern Mathematics and MATH 1610 Calculus II. *

(Normally offered spring of even-numbered years.)

A guided, original research experience on a mathematical topic. This course will culminate in a conference-style presentation and written report. Students will keep a reflection journal throughout the experience.

*Prerequisite(s): Instructor permission.*

A study of topics of special interest in mathematics. Students begin the course by studying an advanced topic in mathematics. Students then work on individualized projects culminating in a symposium presentation and survey paper.

*Prerequisite(s): Major in mathematics, senior standing, grade of "C" or better in either MATH 4200 Abstract Algebra I or MATH 4300 Real Analysis, and permission of the instructor. *

(Normally offered each spring semester.)