## Mathematics and Physical Sciences Department Majors

## Mathematics Major

**PEAKS** |
Natural Sciences & Mathematics |

The Mathematics and Physical Sciences Core encourages all majors and minors in our Department to experience similar theoretical, analytical, and algorithmic viewpoints. This collection of courses incorporates programming, problem-solving, abstract analysis, and applications.

### Major Requirements:

- The core courses:
- Programming structure and methods of analysis:
- Problem Solving/Analysis:
- MAT-151 Calculus I (4 cr)
- MAT-152 Calculus II (4 cr)
- MAT-251 Calculus III (4 cr)
**Note:**For students entering the program with proven proficiency in Calculus a maximum of 8 lower-division credits may be waived. See the Math placement guidelines.

- Mathematics and Physical Systems,
**one**course from:

**18**credits in upper-division* in mathematics (MAT) courses.- Independent study
**Two**from the following courses:

*Courses numbered 300 or above.

**Note:** Students interested in graduate work in mathematics are strongly encouraged to take MAT-451 Real Analysis and/or MAT-461 Algebraic Structures.

**Student Learning Outcomes**

- Discover and utilize effective analysis and problem solving skills in mathematics and mathematical applications.
- Effectively express discipline-specific content and articulate broad connections among disciplines verbally, mathematically and through written works.
- Demonstrate an awareness of the role of mathematics, mathematical applications and technology in the larger community including, but not limited to: a knowledge of ethical standards, the ramifications of technological advances and activities, and the role of all mathematics in society.

## Mathematics - Physics Major

**PEAKS** |
Natural Sciences & Mathematics |

The Mathematics and Physical Sciences Core encourages all majors and minors in our Department to experience similar theoretical, analytical, and algorithmic viewpoints. This collection of courses incorporates programming, problem-solving, abstract analysis, and applications.

### Major Requirements:

- The core courses:
- Programming structure and methods of analysis:
- Problem Solving/Analysis:
- MAT-151 Calculus I (4 cr)
- MAT-152 Calculus II (4 cr)
- MAT-251 Calculus III (4 cr)
**Note:**For students entering the program with proven proficiency in Calculus a maximum of 8 lower-division credits may be waived. See the Math placement guidelines.

- Mathematics and Physical Systems,
**one**course from:

**18**credits in upper-division* in mathematics (MAT) or (PHY) courses.- Independent study
- Two of the following four courses:

*Courses numbered 300 or above.

**Note:** Students interested in graduate work in physics are strongly encouraged to take PHY-240/240L, all upper-division physics courses (300 and 400 level) and MAT-431 Complex Variables. Some facility with general-purpose programming is strongly urged.

**Student Learning Outcomes**

- Communicates effectively, using the language, concepts, and processes of mathematics and physics.
- Uses the methodologies of mathematics and physics to define and solve problems independently and collaboratively.
- Uses a wide variety of laboratory techniques with accuracy and precision.
- Finds, selects, and uses appropriate scientific and mathematical information to support his/her work.
- Uses different strategies to analyze and synthesize physical data.
- Critiques the data, strategies, and models used in mathematics and physics.