# Mathematics, Bachelor of Science

## Program Goals

- Educate students to effectively use quantitative and analytical methods and the language of mathematics.
- Prepare students for professional careers and graduate studies in areas requiring advanced analytical skills, including actuarial science, computer science, engineering, operations research, biomathematics, cryptography, finance, pure and applied mathematics and teaching.
- Promote a scholarly attitude of mind that enables students to effectively use mathematics with the ability to think critically, synthesize their knowledge and move to higher levels of independent thinking.

## Expected Student Outcomes

Upon successful completion of the mathematics major, students will:

- Learn, understand and apply mathematics from the core mathematical disciplines of calculus, abstract algebra, analysis, modeling, differential equations, geometry, probability, and statistics.
- Formulate and solve problems using mathematical tools, while working alone or in groups on routine problems, non-routine and open-ended problems, problems involving applications to other fields, problems involving real-world data, and abstract problems within mathematics.
- Create, analyze and apply mathematical abstraction to real problems by understanding and producing formal mathematical arguments with an appreciation for the mathematical standards of rigor, elegance, and beauty.
- Learn independently, locate and use appropriate sources of technical material, and make use of modern computational tools.
- Produce convincing, precise verbal and written communications of technical material.

## Outcomes Assessment Activities

- Faculty advisers meet individually with students on a regular basis to help with schedule planning and to discuss the student’s progress toward educational and career goals. Advisers maintain a record of each student’s performance in his/her program of study.
- During the senior year, each major takes the Mathematics Field Achievement Test. This test measures a student’s achievement level in comparison with students throughout the country.

## General Requirements

- All mathematics majors must complete the mathematics core curriculum: MATH 126 CALCULUS AND ANALYTIC GEOMETRY I (5.00 c.h.), MATH 224 CALCULUS AND ANALYTIC GEOMETRY II (5.00 c.h.), MATH 307 INTRODUCTION TO LINEAR ALGEBRA (4.00 c.h.), MATH 325 INTERMEDIATE CALCULUS (4.0 c.h.), MATH 350 PROBABILITY (3.00 c.h.), MATH 421 INTRODUCTION TO ANALYSIS (4.00 c.h.), and MATH 427 ABSTRACT ALGEBRA (4.00 c.h.). Majors are expected to complete core courses numbered above MATH 325 INTERMEDIATE CALCULUS (4.0 c.h.) at CSU-Pueblo.
- All majors must complete a physics course numbered 200 or above.
- Mathematics majors and minors must complete the mathematics courses in their program with grades of C or better.
- MATH 337 DIFFERENTIAL EQUATIONS I (3.00 c.h.) is a required elective for all mathematics majors not pursuing secondary education endorsement.
- All majors are required to complete an approved two-term sequence in a laboratory science (CHEM 121 GENERAL CHEMISTRY I (4.0 c.h.)/CHEM 121L GENERAL CHEMISTRY LAB I (1.00 c.h.) and CHEM 122 GENERAL CHEMISTRY II (4.00 c.h.)/CHEM 122L GENERAL CHEMISTRY LAB II (1.00 c.h.), or PHYS 221 GENERAL PHYSICS I (4.00 c.h.)/PHYS 221L GENERAL PHYSICS I LAB (1.00 c.h.) and PHYS 222 GENERAL PHYSICS II (4.00 c.h.)/PHYS 222L GENERAL PHYSICS II LAB (1.00 c.h.)).
- Mathematics majors must demonstrate proficiency in “an approved” computer language. It is strongly recommended that students complete this requirement within the first 60 credit hours.

#### Specific Requirements for the Mathematics Major

Course | Title | Credits |
---|---|---|

MATH Courses | ||

MATH 126 | CALCULUS AND ANALYTIC GEOMETRY I | 5 |

MATH 224 | CALCULUS AND ANALYTIC GEOMETRY II | 5 |

MATH 307 | INTRODUCTION TO LINEAR ALGEBRA | 4 |

MATH 325 | INTERMEDIATE CALCULUS | 4 |

MATH 337 | DIFFERENTIAL EQUATIONS I | 3 |

MATH 350 | PROBABILITY | 3 |

MATH 356 | STATISTICS FOR ENGINEERS AND SCIENTISTS | 3 |

MATH 421 | INTRODUCTION TO ANALYSIS | 4 |

MATH 427 | ABSTRACT ALGEBRA | 4 |

Electives | ||

Select 6 credits in Upper-division MATH Electives ^{1} | 6 | |

Other Requirements | ||

Select 10 credits in a Laboratory Science Sequence | 10 | |

Select 4 credits in Computer Programming | 4 | |

General Education | ||

General Education credits | 24 | |

Electives | ||

Select 41 credits | 41 | |

Total Credits | 120 |

^{1} | Excluding MATH 360 ELEMENTARY MATHEMATICS CONCEPTS I (3.00 c.h.), MATH 361 ELEMENTARY MATHEMATICS CONCEPTS II (3.00 c.h.), MATH 477 METHODS FOR TEACHING SECONDARY MATH (4.00 c.h.). |

## Institutional and General Education

Please refer to the General Education Requirements in the *Academic Policies* section of this catalog or refer to the individual department’s curriculum sheet.

The general education requirement for graduation includes a total of 35 semester credits in two categories: Skills Component and Knowledge Component. Please see the General Education Requirement section under Academic Policies for more information.

## Planning Sheet

Disclaimer: The Planning Sheet is designed as a guide for student's planning their course selections. The information on this page provides only a suggested schedule. Actual course selections should be made with the advice and consent of an academic advisor. While accurately portraying the information contained in the college catalog, this form is not considered a legal substitute for that document. Students should become familiar with the catalog in effect at the time in which they entered the institution.

Course | Title | Credits |
---|---|---|

Year 1 | ||

Fall | ||

ENG 101 | Rhetoric & Writing I | 3 |

MATH 126 | Calculus and Analytic Geometry I | 5 |

General Education | 3 | |

Elective | 3 | |

Credits | 14 | |

Spring | ||

ENG 102 | Rhetoric & Writing II | 3 |

MATH 224 | Calculus and Analytic Geometry II | 5 |

PHYS 221 or CHEM 121 |
General Physics I or General Chemistry I |
4 |

PHYS 221L or CHEM 121L |
General Physics I Lab or General Chemistry Lab I |
1 |

General Education | 3 | |

Credits | 16 | |

Year 2 | ||

Fall | ||

MATH 307 | Introduction to Linear Algebra | 4 |

MATH 325 | Intermediate Calculus | 4 |

PHYS 222 or CHEM 122 |
General Physics II or General Chemistry II |
4 |

PHYS 222L or CHEM 122L |
General Physics II Lab or General Chemistry Lab II |
1 |

Elective | 3 | |

Credits | 16 | |

Spring | ||

MATH 242 | Introduction to Computation | 4 |

MATH 337 | Differential Equations I | 3 |

General Education | 6 | |

Elective | 3 | |

Credits | 16 | |

Year 3 | ||

Fall | ||

MATH 350 | Probability | 3 |

General Education | 6 | |

Elective | 6 | |

Credits | 15 | |

Spring | ||

MATH 356 | Statistics for Engineers and Scientists | 3 |

Elective ^{3 credits must be upper division Mathematics course. } |
12 | |

Credits | 15 | |

Year 4 | ||

Fall | ||

MATH 421 | Introduction to Analysis | 4 |

Elective ^{3 credits must be upper division Mathematics course. } |
9 | |

Credits | 13 | |

Spring | ||

MATH 427 | Abstract Algebra | 4 |

Elective ^{3 credits must be upper division Mathematics course. } |
11 | |

Credits | 15 | |

Total Credits | 120 |