## The Research and Writing Component in the Major

There are three required courses in the Mathematics major that contain substantial writing components.

Mathematical Perspectives (Mth 290) requires student to respond to a series of articles, analyze the information presented, and draw conclusions.

Number Structures (Mth 311) has a strong emphasis on mathematical exposition and proof. Here students are required to do a significant amount of mathematical writing and expected to evaluate, organize, interpret, and synthesize information.

Senior Colloquium (Mth 490), our capstone course, involves the students in researching and presenting a mathematical topic or theme. This is the course where all the components described in the Curriculum Committee outline come together in a single extended project: information retrieval, evaluation, and organization; analysis and interpretation of information; synthesis and summary.

The vast majority of the Mathematics faculty have taken the Writing Across the Curriculum Seminar and are committed to using writing as a learning tool. As a result, written projects are frequently required for lower division courses and more extensive writing projects are often required in upper division courses -- sometimes taking the form of a traditional term paper.

Because of the writing emphasis throughout the major, the department believes the students have an excellent foundation in mathematical writing style, and are regularly expected to analyze, interpret, organize, and synthesize information. The only weakness we see is in the library research component prior to the capstone experience. We would like to leave open the option of adding a new course (probably a co-requisite to one of our existing required courses in the major) or increasing the credits of a required course in the major to better incorporate this feature.

## Prerequisites to Upper-Division Courses

- May be taken concurrently
- See catalog - Mth 481 prerequisite may also be met by taking a combination of Mth 211, 212, and/or 213 (exact conbination varies by topic)
- See catalog - some Mth 421 topics have a Mth 261 prerequisite
- USEM 103 or Wr 122 is also a prerequisite
- Mth 490 prerequisites are senior standing in the mathematics major, Mth 311, and completion of at least 2 of the upper division sequences required for the major
- Mth 243 highly recommended for Mth 361; required beginning fall 2011 when calculus prerequisite will also drop to Mth 252
- May replace Mth 253 prerequisite with Ph 371

Brief titles and when normally offered:

Mth 243 - Elementary Statistics (all terms)

Mth 251, 252, and 253 - Single Variable Calculus (all terms)

Mth 261 - Linear Algebra (spring term)

Mth 281 - Multivariable Calculus (fall term)

Mth 290 - Mathematical Perspectives (fall term)

Mth 311/411 - Foundations Sequence - Number Structures and Axiomatic Geometry (fall terms)

Mth 321/421 - Applied Sequence (321 winter; 421 spring)

Mth 331/431 - Analysis Sequence (331 fall; 431 winter)

Mth 341/441 - Abstract Algebra Sequence (341 winter; 441 spring)

Mth 361/461 - Probability and Statistics Sequence (361 winter; 461 spring)

Mth 481 - Mathematics Education Topics (all terms)

Mth 490 - Capstone (spring term)

## Mathematics Major Requirements

#### Learning Outcomes

#### Knowledge Outcomes

- Mathematics graduates display a depth and breadth of mathematical knowledge in both pure and applied areas.

#### Skill Outcomes

- Mathematics graduates analyze data and model real-world problems, using technology as appropriate.
- Mathematics graduates provide effective rationale and coherent mathematical arguments to support their conclusions.
- Mathematics graduates effectively communicate complex mathematical concepts orally and in writing.

#### Dispositional Outcomes

- Mathematics graduates learn independently.
- Mathematics graduates value their mathematical achievements as well as express an appreciation for mathematics itself.

#### Lower Division Core (26 credits)

- Elementary Statistics (Mth 243)
- Single-Variable Calculus (Mth 251, 252, 253)
- Multivariable Calculus (Mth 281)
- Linear Algebra (Mth 261)
- Mathematical Perspectives (Mth 290)

#### Upper Division Sequences (39-41 credits)

*Foundations:*

Number Structures (Mth 311) and Geometry (Mth 411)*Analysis:*

Introduction to Real Analysis (Mth 331) and one Analysis Topic (Mth 431)*Abstract Algebra:*

Introduction to Algebraic Systems (Mth 341) and one Abstract Algebra Topic (Mth 441)*Probability and Statistics:*Probability (Mth 361) and one Statistics Topic (Mth 461)*Applied Area:*Differential Equations (Mth 321) AND

Any*one*Applied Mathematics Topic (Mth 421) or any*two*distinct topics in Middle

School and High School Mathematics (Mth 481)

#### Capstone (6 credits)

- Senior Colloquium (Mth 490)

#### Associated Requirements (3-4 credits)

- Computer Programming (CS 271, CS 256, CS 257, CH 371, PH 380 or approved substitution)

#### Grade Policies

*All classes required for the major must be taken for a grade.**No more than 2 requirements may be met with a grade below C-.*

#### Prospective Middle School and High School Mathematics Teachers:

Students who complete the Mathematics Major

and choose the two Mth 481 topics for their fifth sequencealso meet the course prerequisites for the Advanced Mathematics Endorsement.

## Mathematics Education Minor Requirements

#### Lower Division Courses (12 credits)

- Fundamentals of Elementary Mathematics I, II, and III (Mth 211, 212, and 213)

NOTE: Students who have completed one or more of Mth 251, 252, 253, 261, or 281 with a C- or better, may substitute them in place of at most two of the Mth 211, 212, and 213 requirements. In addition, students selecting this option must apply for and complete a 4 credit Mth 409 Practicum assisting an instructor in one of Mth 211, 212, or 213, which will then be substituted for that course. See the Math Department Chair if you are interested in this option.

#### Upper Division Courses (15 credits)

- Five Topics in Middle School and High School Mathematics (Mth 481)

**Prospective Elementary and Middle School Mathematics Teachers:** Students who complete the Mathematics Education Minor also meet the course prerequisites for the Basic Mathematics Endorsement in the MAT program if they include the following topics: Arithmetic and Algebraic Structures and Experimental Probability and Statistics. (To satisfy prerequisites, all course grades should be C- or better.)

**Double-Minors:** If you want to pursue *both* minors, *two* of the Mth 481 topics you take for the Mathematics Education Minor may also be counted toward the upper division requirements in the Mathematics Minor.

## Annual Mathematics Offerings for Mth 251 and up

*(Tentative Topics for 400-level courses Included)*

*2012/2013 Standard Schedule (repeated academic years beginning in an even year [except Mth 481].)*

Fall |
Winter |
Spring |
Summer |

251 (3 sections) |
251 (2 sections) |
251 (1-2 sections) |
251 252 481 (Arith/Alg) 481 (Prob/Stat) |

*2013/2014 Standard Schedule (repeated academic years beginning in an odd year [except Mth 481].)*

Fall |
Winter |
Spring |
Summer |

251 (3 sections) |
251 (2 sections) 252 (2 sections) 253 271 321 341 361 431 (Metric Spaces) 421 (Num Lin Alg) 461 (Financial) 481 (Prob Solv) 490 (part 1) |
251 (1-2 sections) |
251 252 481 (Curriculum) 481 (Measurement) |

*2014/2015 Standard Schedule (repeated academic years beginning in an even year [except Mth 481].)*

Fall |
Winter |
Spring |
Summer |

251 (3 sections) |
251 (2 sections) 252 (2 sections) 253 271 321 341 361 431 (TBD) 421 (Signals?) 461 (Actuarial) 481 (Arith/Alg) 490 (part 1) |
251 (1-2 sections) |
251 252 481 (Geometry) 481 (Prob Solv) |

*2015/2016 Standard Schedule (repeated academic years beginning in an odd year [except Mth 481].)*

Fall |
Winter |
Spring |
Summer |

251 (3 sections) |
251 (2 sections) 252 (2 sections) 253 271 321 341 361 421 (Num Lin Alg) 431 (Metric Spaces) 461 (Financial) 481 (Curriculum) 490 (part 1) |
251 (1-2 sections) |
251 252 253? 481 (Arith/Alg) 481 (History) |

Planning your College Education

Planning your College Education

180 credits total (includes 60 credits at 300/400-level)

**Things to keep in Mind:**

- Minimum Credits: Earn at least 180 credits, including 60 upper division credits (300/400-level)
- BA/BS Requirements: Mathematics majors and co-majors automatically meet the BS requirements
- Major Requirements: Go over regularly with your major advisor
- Minor Requirements: Go over regularly with an advisor in your minor area(s)
- General Education Requirements: Transfers need a GE evaluation from Academic Support Programs.