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**Curriculum Guides**:
Fall 2015 Freshmen

The major in Mathematics places a focus on the logic and critical thinking needed to solve difficult problems.

It is increasingly clear that many careers created by our technology-oriented society demand both the knowledge and skills possessed by trained mathematicians. The Mathematics major at Thiel College seeks to prepare students for the various occupations in academics, government, and industry available to mathematicians.

To satisfy the prerequisite for a particular course, the student must earn a grade of C- or higher in courses listed as prerequisites. Prerequisites may be waived at the discretion of the course instructor. Students are not permitted to enroll in a course for credit if the course serves as a prerequisite to a course which the student has already successfully completed.

A student who graduates from Thiel College with a degree in Mathematics will:

- Demonstrate a broad base of fundamental mathematical skills, including Calculus and Linear Algebra. Students will use these skills to evaluate, analyze, and model in order to make solve real world problems.
- Demonstrate abstract logic and reasoning skills developed through the study of theorems and proofs. Students will also be expected to develop their own proofs as solutions to problems.
- Use computers in the solution of mathematically important problems and understand the limitations and advantages of computational approaches to mathematics.
- Understand how mathematics can be used to formulate models of real world phenomena and how to make decisions and predictions based on these models.
- Be able to communicate mathematics effectively, both orally and in writing.
- Understand the historical significance of the mathematical discoveries of the past several centuries.

In order to complete the major in mathematics, a student must fulfill these requirements successfully:

1. Complete the required courses:

**MATH 181**Calculus I (4 CH)**MATH 182**Calculus II (4 CH)**MATH 281**Calculus III (4 CH)**MATH 291**Linear Algebra (4 CH)**MATH 302**Differential Equations (4 CH)**MATH 371**Real Analysis (4 CH)

2. Complete one of the following sequences:

**MATH 311**Non-Euclidean Geometry (3 CH)**MATH 331**Abstract Algebra (3 CH)*or***MATH 451**Probability (4 CH)**MATH 461**Statistics (4 CH)*or***MATH 421**Numerical Analysis I (3 CH)**MATH 422**Numerical Analysis II (3 CH)

3. Complete one additional three or four credit mathematics course numbered 220 or above. **PHYS 363** (Mathematical Physics) may be counted as a mathematics class for the purpose of this requirement. The Capstone Seminar, **MATH 341**, and **MATH 342** may not be used to fulfill this requirement.

4. Complete a capstone project. The project can take the form of a supervised research experience (such as REU), an approved internship, or student teaching (for Education majors). Research projects should be reported on at an appropriate venue, such as a Thiel Forum or at the Thiel College Research Symposium, or professional conference.

5. Complete the support courses:

*One of:*

**PHYS 174**Introductory Physics I (4 CH)**PHYS 184**Introductory Physics II (4 CH)

*And one of:*

**CSCI 159**Intro to Programming (4 CH)**CSCI 189**Java Programming (4 CH)

Students planning on attending graduate school in mathematics should include **PHYS 184**, as well as:

**Abstract Algebra**(for pure math)**Numerical Analysis I/II**and**Mathematical Physics**(for applied math)

in their course of study.