Mathematics

A major and a minor in mathematics are available, as well as teacher certification in mathematics education for grades 5-12.

Major in mathematics

40-47 credit hours

Core Courses (22-26 credit hours)

• One course in computer programming 3-4
  • CoSc 206, Logic & Language of Computer Programming (3)
  • CoSc 216, Programming I (4)
• Math 205, Discrete Mathematics 3
• Math 211-212, Calculus I & II 8
• Math 213, Multivariate Calculus 4
• Math 390, Problem Solving Seminar 1
• Math 409, Project/Internship 0-3
• Math 411, Seminar: History 1
• Math 412, Seminar: Connections 1
• Math 413, Seminar: Discoveries 1
• Electives in Mathematics (see advising note below)18-21

• Math 301, Linear Algebra
• Math 302, Abstract Algebra
• Math 305, Modern Geometry
• Math 311, Real Analysis
• Math 321, Differential Equations
• Math 323, Probability and Statistics
• Math 350, Advanced Game Theory
• Math 351, Mathematical Modeling
• Math 355, Graph Theory
• Math 360, Biomathematics
• Math 375, Special Topics
• Up to 3 credit hours of upper level computer science courses

Student learning outcomes

Graduates in mathematics will:

1. Demonstrate knowledge of calculus, discrete structures, deductive reasoning, programming, and a selection of more advanced concepts and techniques.
2. Solve pure and applied problems and explore ideas by adeptly using mathematical concepts and techniques, problem solving heuristics, pattern recognition, deduction, simulation, modeling, data analysis, and software tools.
3. Learn mathematics by reading, listening, exploring, and conversing in an effective manner.
4. Explain and critique mathematical reasoning through speaking and writing in a precise and articulate manner in both informal and formal settings.
5. Exhibit curiosity, playfulness, creativity, confidence, perseverance, interest in multiple perspectives, and a collaborative spirit.
6. Describe and value interconnections among different areas and levels of mathematics, other disciplines, history, ethics, careers, and society.

Planning and advising notes

Academic requirements: Mathematics majors must achieve a grade of C or better in every course counted for the major. All students taking mathematics courses must earn a grade of C or better in prerequisite courses.

21 credit hours of Math electives are required for most majors; only 18 credit hours are required for those who complete student teaching in math education. Math secondary education majors do a teaching internship with Math 131 or 132 for credit in Math 409.

Teacher certification in mathematics is available for grades 5-12. Courses needed in addition to, or as part of, the Mathematics major core requirements are Math 301; Math 302; Math 305; Math 323; one of Math 350, 351, or 360, and a teaching internship with Math 131 or 132. Also required are 36 credits of education courses, including a semester of student teaching. The first education class, Educ 201, should be taken in May term of the first year or fall of the sophomore year. See the education catalog and web pages for more details about requirements.

Planning guide

First year	Goshen Core Calculus I, II At least one of these: Discrete Mathematics Multivariate Calculus Computer Programming course
Second and Third years	Goshen Core Finish 200-level courses Upper-level math SST
Fourth year	Balance of Goshen Core Balance of major Senior Project/Internship or Student Teaching Connections & Discoveries

Minor in mathematics

19 credit hours

• Any mathematics courses numbered 200 and above 11
• Any mathematics courses numbered 300 or above 8