# Mathematics (BS) - Applied Mathematics Concentration

## **Program Overview**

The Applied Math Concentration prepares the student for a career in industry. The student in Applied Math may select from two preparation tracks - actuarial science and statistics.

## Career Opportunities

Actuary, banking analyst, financial analyst, quantitative analyst, teacher (with the completion of additional preparation for certification), trade assistant

**Program of Study**

Click on the Program Map tab to view a term-by-term guide for completing the program requirements.

## Core Requirements

Code | Title | Credit Hours |
---|---|---|

Area A Essential Skills | ||

ENGL 1101 | English Composition I (minimum grade of C) | 3 |

ENGL 1102 | English Composition II (minimum grade of C) | 3 |

MATH 1113 | Pre-Calculus | 4 |

or MATH 1131 | Calculus with Analytic Geometry I | |

Area A Total | 9 | |

Area B Institutional Options ^{1} | ||

B1: Select 3 hours of following courses: | 3 | |

Public Speaking | ||

Any Foreign Language 1001, 1002, 2001, 2002 | ||

B2: Select 1 hour of the following courses: | 1 | |

Scholarship Across the Disciplines | ||

Introduction to Servant Leadership | ||

Perspectives 1-hour | ||

Perspectives 2-hour | ||

Area B Total | 4 | |

Area C Humanities/Fine Arts/Ethics | ||

Select one of the following humanities courses: | 3 | |

World Literature I | ||

World Literature II | ||

Comparative Arts ^{2} | ||

The Western Intellectual Tradition | ||

Historical Perspectives on the Philosophy of Science and Mathematics | ||

Introduction to Philosophy | ||

Select one of the following fine arts courses: | 3 | |

Art Appreciation | ||

Comparative Arts ^{2} | ||

Music Appreciation | ||

Theatre Appreciation | ||

Introduction to the History of Art I– Prehistoric through Gothic | ||

Introduction to the History of Art II– Renaissance through Modern | ||

Area C Total | 6 | |

Area D Science/Math/Technology ^{2} | ||

D1: Select two of the following lab science courses: | 8 | |

Descriptive Astronomy: The Solar System and Descriptive Astronomy Lab | ||

Understanding the Weather and Understanding the Weather Lab | ||

Principles of Biology | ||

Contemporary Issues in Biology with Lab | ||

Principles of Chemistry I and Principles of Chemistry I Lab | ||

Principles of Chemistry II and Principles of Chemistry II Lab | ||

Introductory Geoscience I: Physical Geology | ||

Introductory Geo-sciences II: Historical Geology and Introductory Geo-sciences II: Historical Geology Lab | ||

The Fossil Record | ||

Introductory Physics I and Introductory Physics I Lab | ||

Introductory Physics II and Introductory Physics II Lab | ||

Principles of Physics I and Principles of Physics I Lab | ||

Principles of Physics II and Principles of Physics II Lab | ||

D2: Select one of the following courses | 3 | |

Calculus with Analytic Geometry I | ||

Calculus with Analytic Geometry II | ||

Area D Total | 11 | |

Area E Social Sciences | ||

HIST 2111 | U. S. History to 1865 | 3 |

or HIST 2112 | U. S. History since 1865 | |

POLS 1101 | American Government | 3 |

Select one of the following behavioral science courses: | 3 | |

Principles of Macroeconomics | ||

Principles of Microeconomics | ||

Moral Philosophy | ||

Introduction to General Psychology | ||

Introduction to Sociology | ||

Select one of the following world culture courses: | 3 | |

Cultural Anthropology | ||

Discovering Archaeology | ||

Ancient World Civilizations | ||

Language and Culture | ||

World Regional Geography | ||

World History to 1500 | ||

World History since 1500 | ||

Introduction to International Studies and Cross-Cultural Learning | ||

Understanding Non-Western Cultures | ||

Area E Total | 12 | |

Wellness Requirement | ||

KINS 1106 | Lifetime Wellness | 2 |

or PHED 1205 | Concepts of Fitness | |

Select one PEDS course | 1 | |

Wellness Total | 3 | |

Total Credit Hours | 45 |

^{1} |
| |

^{2} | ITDS 1145 Comparative Arts, though listed under both humanities and fine arts, may be taken only once. |

## Major Requirements

Code | Title | Credit Hours |
---|---|---|

Core Requirements | ||

Complete the core requirements for this program | 45 | |

Core Total | 45 | |

Area F Courses Related to Major | ||

Select the following course (the extra credit is counted in Area G): | 3 | |

Computer Science I | ||

1 Math credit from the following (Area A or D): | 1 | |

Calculus with Analytic Geometry I | ||

4 Math credits for the following or 1 credit from Area D: | 1-4 | |

Calculus with Analytic Geometry II | ||

MATH 2115 | Introduction to Linear Algebra | 3 |

MATH 2135 | Calculus with Analytic Geometry 3 | 4 |

STAT 1401 | Elementary Statistics | 3 |

Guided Elective ^{1} | 0-3 | |

Area F Total | 18 | |

Area G Program Requirements | ||

1 credit from the following (Area F): | 1 | |

Computer Science I | ||

1 credit if taken for Area A Math: | 0-1 | |

Pre-Calculus | ||

MATH 3154 | Introduction to Mathematical Proofs I | 3 |

MATH 3155 | Introduction to Mathematical Proofs II | 3 |

MATH 3175 | Introduction to Probability | 3 |

MATH 4795 | Senior Seminar in Mathematics | 3 |

MATH 5151U | Introduction to Real Analysis I | 3 |

MATH 5175U | Mathematical Statistics | 3 |

Select one of the following tracks (see below): | 15-24 | |

Actuarial Science Track | ||

Statistics Track | ||

Area G Total | 34-44 | |

Area H Program Electives | ||

Select 16-26 credits ^{5} | 16-26 | |

Area H Total | 16-26 | |

Total Credit Hours | 123 |

^{1} | Guided elective will be selected from among freshman and sophomore level courses in science, business, and education based upon student interests and career goals and requiring the approval of a faculty advisor and the Mathematics Department Chair. |

^{2} | STAT 5176U Statistical Design and Analysis of Experiments and STAT 5177U Applied Regression Analysis are recommended for graduate study in statistics. MATH 5135U College Geometry and MATH 5185U History of Mathematics are required for teacher certification. |

^{3} | Only two attempts allowed for each of the following courses. |

^{4} | If ITDS 2125 Historical Perspectives on the Philosophy of Science and Mathematics is not taken in Area C. |

^{5} | Hours in Area G and Area H must total 60 semester hours, with a total of 39 semester hours at the 3000 level or higher |

### Area G Tracks

#### Actuarial Science Track

Code | Title | Credit Hours |
---|---|---|

ACCT 2101 | Principles of Accounting I ^{1} | 3 |

ECON 2105 | Principles of Macroeconomics ^{1} | 3 |

ECON 2106 | Principles of Microeconomics ^{1} | 3 |

MATH 3106 | Mathematical Theory of Interest | 3 |

MATH 3108 | Introduction to Actuarial Science | 3 |

MATH 5126U | Actuarial Regression and Time Series | 3 |

FINC 3109 | Managerial Finance for Non-Business Majors | 3 |

FINC 3115 | Financial Analysis | 3 |

Total Credit Hours | 24 |

^{1} | Required unless completed in Area E or Area F. |

#### Statistics Track

Code | Title | Credit Hours |
---|---|---|

STAT 3127 | Statistical Computing | 3 |

STAT 5176U | Statistical Design and Analysis of Experiments | 3 |

STAT 5177U | Applied Regression Analysis | 3 |

Select two of the following: | 6 | |

Applied Multivariate Analysis | ||

Applied Nonparametric Methods | ||

Applied Categorical Data Analysis | ||

Total Credit Hours | 15 |

**Program Map**

First Year | ||
---|---|---|

Fall | Credit Hours | |

MATH 1113 | Pre-Calculus (minimum grade of C) | 4 |

(Apply 3 credits to Area A and 1 credit to Area G.) |
||

ENGL 1101 | English Composition I (minimum grade of C) | 3 |

AREA D | Lab Science | 4 |

ACCT 2101 | Principles of Accounting I | 3 |

AREA E | Behavioral Science, the following is recommended: | 3 |

Principles of Macroeconomics (minimum grade of C) ^{1} |
||

Credit Hours | 17 | |

Spring | ||

MATH 1131 | Calculus with Analytic Geometry I (minimum grade of C) | 4 |

(Apply 3 credits to Area D and 1 credit to Area F.) |
||

ENGL 1102 | English Composition II (minimum grade of C) | 3 |

MATH 2115 | Introduction to Linear Algebra (minimum grade of C) | 3 |

CPSC 1301K | Computer Science I (minimum grade of C) | 4 |

(Apply 3 credits to Area F and 1 credit to Area G.) |
||

ECON 2106 | Principles of Microeconomics (minimum grade of C) | 3 |

Area B2 | ITDS 1779 (2), LEAD 1705 (2), PERS 1506 (1; may be repeated with different topic), PERS 1507 (2) | 1 |

Credit Hours | 18 | |

Second Year | ||

Fall | ||

MATH 1132 | Calculus with Analytic Geometry II (minimum grade of C) | 4 |

(If MATH 1132 is used in Area D, the one extra hour will count in Area F.) |
||

MATH 3154 | Introduction to Mathematical Proofs I (minimum grade of C) | 3 |

STAT 1401 | Elementary Statistics (minimum grade of C) | 3 |

AREA C | Humanities Course | 3 |

AREA E | World Cultures | 3 |

Credit Hours | 16 | |

Spring | ||

MATH 2135 | Calculus with Analytic Geometry 3 (minimum grade of C) | 4 |

MATH 3155 | Introduction to Mathematical Proofs II (minimum grade of C) | 3 |

MATH 3175 | Introduction to Probability (minimum grade of C) | 3 |

Area B1 | COMM 1110 Public Speaking or Foreign Language | |

AREA C | Fine Arts Course | 3 |

Credit Hours | 13 | |

Third Year | ||

Fall | ||

MATH 5151U | Introduction to Real Analysis I (minimum grade of C) | 3 |

MATH 5175U | Mathematical Statistics (minimum grade of C) | 3 |

MATH 5126U | Actuarial Regression and Time Series (minimum grade of C) | 3 |

AREA D | Lab Science | 4 |

POLS 1101 | American Government | 3 |

Credit Hours | 16 | |

Spring | ||

MATH 3106 | Mathematical Theory of Interest (minimum grade of C) | 3 |

FINC 3109 | Principles of Finance for Non-Business Majors (minimum grade of C) | 3 |

AREA H | Upper Level General Elective | 3 |

HIST 2111 or HIST 2112 |
U. S. History to 1865 or U. S. History since 1865 |
3 |

KINS 1106 or PHED 1205 |
Lifetime Wellness or Concepts of Fitness |
2 |

PEDS course | 1 | |

Credit Hours | 15 | |

Fourth Year | ||

Fall | ||

MATH 4795 | Senior Seminar in Mathematics (minimum grade of C) | 3 |

FINC 3115 | Corporate Financial Analysis (minimum grade of C) | 3 |

MATH 3108 | Introduction to Actuarial Science (minimum grade of C) | 3 |

AREA H | Upper Level General Elective | 3 |

AREA H | General Elective | 1 |

Credit Hours | 13 | |

Spring | ||

AREA H | Upper Level General Elective | 3 |

AREA H | General Elective | 3 |

AREA H | General Elective | 3 |

AREA H | General Elective | 3 |

Area H | General Elective | 3 |

Credit Hours | 15 | |

Total Credit Hours | 123 |

^{1} | If not taken in Area E, course must be added in another semester. |

## Additional Notes

This program map illustrates appropriate coursework for completing a degree within four years, provided that course grades allow for earned credit. Please consult with your advisor to determine when courses can be switched out with others and taken in a different semester or sequence than illustrated since not all courses are taught every semester.

- This map is for illustrative purposes only and does not constitute a legal contract on the part of CSU since degree requirements or course offerings could change. As always, check with your advisor.
- Students must complete "Area A " (ENGL 1101 English Composition I, ENGL 1102 English Composition II, and MATH 1113 Pre-Calculus or MATH 1131 Calculus with Analytic Geometry I) prior to reaching 30 hours and earn a "C" or higher in all three courses.
- As of Fall 2013, all undergraduate students are required each semester to meet the 2.0 institutional GPA standard for satisfactory academic progress.

**The student needs to work with his/her advisor to choose appropriate elective courses to make sure that he/she meets the total hours 123 required for the program.**

**Admission Requirements**

There are no program specific admission requirements.

## Additional Program Requirements

There are no program specific academic regulations.

## Program Learning Outcomes

- an understanding of calculus and an ability to use calculus in applications
- knowledge of algebraic structures
- knowledge of the real numbers, functions, the topological properties of R, differentiation, and integration
- knowledge of and the ability to apply probability density functions
- knowledge of appropriate mathematical models
- the ability to think critically
- the ability to understand mathematical arguments and to construct mathematical proofs
- the ability to use computational devices and software in problem solving situations
- communication skills to acquire, develop, and convey mathematical knowledge