# DEGREE: Bachelor of Science

## MAJOR: Mathematics

In addition to meeting University and College requirements, students earning a Bachelor of Science in Mathematics must fulfill the core departmental requirements and choose from one of three emphases: General, Applied Mathematics or Actuarial Science and Insurance. Students must earn a grade of C- or better in all departmental and nondepartmental courses for any degree in the Department of Mathematical Sciences.

## Requirements

### Core Departmental Requirements

MATH 191G | Calculus and Analytic Geometry I | 4 cr. |

MATH 192G | Calculus and Analytic Geometry II | 4 cr. |

MATH 291G | Calculus and Analytic Geometry III | 3 cr. |

MATH 279 | Introduction to Higher Mathematics | 3 cr. |

MATH 280 | Introduction to Linear Algebra | 3 cr. |

**Notes**

Some students may be able to bypass one or more courses in the calculus sequence 191-192-291. The calculus sequence, finite mathematics, and linear algebra provide knowledge that is basic to further work, and students are advised to complete them or their equivalent as early as possible.

Students planning to enter a graduate program in Mathematics should select the General Emphasis. In any case, such students are strongly advised to take both MATH 331 and MATH 332, since these courses are required by most programs, and should take as many as possible of the courses MATH 481, 491, 492. Students planning to do graduate work in Mathematics are encouraged to take French or German to meet the requirement of a second language.

## Emphasis: Actuarial Science and Insurance

The emphasis in Actuarial Science and Insurance draws on courses from mathematics and business to prepare students for a mathematical career in insurance. The coursework in this emphasis focuses on the analysis of risk and its applications to insurance finance. Students fulfilling the requirements for the Actuarial Science and Insurance Emphasis earn a minor in insurance.

### Departmental Requirements

MATH 331 | Introduction to Modern Algebra | 3 cr. |

or | ||

MATH 332 | Introduction to Analysis | 3 cr. |

STAT 371 | Statistics for Engineers and Scientists I | 3 cr. |

STAT 470 | Probability: Theory and Applications | 3 cr. |

STAT 480 | Statistics: Theory and Applications | 3 cr. |

### Departmental Electives

The Actuarial Science Emphasis requires also at least a 9 additional upper-division credit hours of approved courses prefixed MATH or STAT, excluding:

MATH 300 | Readings | 1-3 cr. |

MATH 313 | Fundamentals of Algebra and Geometry I | 3 cr. (3+1P) |

MATH 316 | Calculus with Hands-on Applications | 3 cr. |

MATH 400 | Undergraduate Research | 1-3 cr. |

MATH 402 | General Special Topics | 1-3 cr. |

MATH 459 | Survey of Geometry | 3 cr. |

STAT 400 | Undergraduate Research | 1-3 cr. |

Any special topics course MATH or STAT 301 and MATH or STAT 401 must be approved by the department for credit towards the major. At least 6 of the MATH and STAT credit hours must be numbered higher than 400.

### Nondepartmental Requirements

ACCT 221 | Financial Accounting | 3 cr. |

ACCT 222 | Management Accounting | 3 cr. |

BLAW 316 | Legal Environment of Business | 3 cr. |

or | ||

BLAW 385V | Consumers and the Law | 3 cr. |

E E 161 | Computer Aided Problem Solving | 4 cr. (3+3P) |

ECON 251G | Principles of Macroeconomics | 3 cr. |

ECON 252G | Principles of Microeconomics | 3 cr. |

FIN 322 | Principles of Insurance | 3 cr. |

FIN 341 | Financial Analysis and Markets | 3 cr. |

#### One course from the following:

FIN 326 | Business Risk Management | 3 cr. |

FIN 323 | Life/Health/Employee Benefits | 3 cr. |

FIN 324 | Property and Liability Insurance | 3 cr. |

### Two courses from the following Insurance Electives:

FIN 303V | Personal Financial Planning and Investing in a Global Economy | 3 cr. |

or | ||

FIN 421 | Personal Financial Planning for Professionals | 3 cr. |

FIN 323 | Life/Health/Employee Benefits | 3 cr. |

FIN 324 | Property and Liability Insurance | 3 cr. |

FIN 391 | Finance Internship and Cooperative Education I | 1-3 cr. |

## Emphasis: Applied Mathematics

The Applied Mathematics emphasis is intended to prepare students planning a mathematically oriented career upon graduation. The coursework in this emphasis provides a foundation in mathematics important in many scientific and engineering applications.

### Departmental Requirements

MATH 377 | Introduction to Numerical Methods | 3 cr. |

MATH 392 | Introduction to Ordinary Differential Equations | 3 cr. |

MATH 471 | Complex Variables | 3 cr. |

MATH 472 | Fourier Series and Boundary Value Problems | 3 cr. |

STAT 371 | Statistics for Engineers and Scientists I | 3 cr. |

STAT 470 | Probability: Theory and Applications | 3 cr. |

### Departmental Electives

The Applied Mathematics emphasis requires at least 6 additional upper-division credit hours of approved courses prefixed MATH or STAT, excluding:

MATH 300 | Readings | 1-3 cr. |

MATH 313 | Fundamentals of Algebra and Geometry I | 3 cr. (3+1P) |

MATH 400 | Undergraduate Research | 1-3 cr. |

MATH 402 | General Special Topics | 1-3 cr. |

MATH 459 | Survey of Geometry | 3 cr. |

STAT 400 | Undergraduate Research | 1-3 cr. |

Any special topics course MATH 301 or STAT 301 and MATH 401 or STAT 401 must be approved by the department for credit towards the major. At least 3 of the MATH and STAT credit hours must be numbered higher than 400.

### Nondepartmental Requirements

Majors choosing an Applied Mathematics emphasis must select a minimum of 12 credit hours of elective courses to form a coherent cluster in an applied area. Students may propose clusters subject to departmental approval. Examples of acceptable clusters are given below. A cluster must contain either C S 172 or E E 161. A major or minor in any of the following fields (along with C S 172 or E E 161) will also fulfill the Cluster Electives requirement: Computer Science, Physics, Biology, Chemistry and Biochemistry, Chemical Engineering, Engineering Physics, Electrical and Computer Engineering, Industrial Engineering, Mechanical Engineering, Civil Engineering, Economics and Finance.

Examples of acceptable clusters

#### Signals

E E 161 | Computer Aided Problem Solving | 4 cr. (3+3P) |

##### Nine credits from the following:

E E 280 | DC and AC Circuits | 4 cr. (3+3P) |

E E 312 | Signals and Systems I | 3 cr. |

E E 395 | Introduction to Digital Signal Processing | 3 cr. |

E E 496 | Introduction to Communication Systems | 4 cr. (3+3P) |

#### Structures

C S 172 | Computer Science I | 4 cr. (3+2P) |

or | ||

E E 161 | Computer Aided Problem Solving | 4 cr. (3+3P) |

##### Nine credits from the following:

PHYS 215G | Engineering Physics I | 3 cr. |

C E 233 | Mechanics-Statics | 3 cr. |

C E 301 | Mechanics of Materials | 3 cr. |

C E 315 | Structural Analysis | 4 cr. (3+3P) |

C E 365 | Intermediate Structural Analysis | 1 cr. |

#### Operations Research

E E 161 | Computer Aided Problem Solving | 4 cr. (3+3P) |

##### Nine credits from the following:

I E 311 | Engineering Data Analysis | 3 cr. |

I E 365 | Quality Control | 3 cr. |

I E 413 | Engineering Operations Research I | 3 cr. |

I E 423 | Engineering Operations Research II | 3 cr. |

I E 460 | Evaluation of Engineering Data | 3 cr. |

#### Algorithm Theory

C S 172 | Computer Science I | 4 cr. (3+2P) |

C S 272 | Introduction to Data Structures | 4 cr. (3+2P) |

C S 370 | Compilers and Automata Theory | 4 cr. (3+2P) |

C S 372 | Data Structures and Algorithms | 4 cr. (3+2P) |

#### Bioinformatics

BIOL 211G | Cellular and Organismal Biology | 3 cr. |

BIOL 211GL | Cellular and Organismal Biology Laboratory | 1 cr. (3P) |

C S 486 | Bioinformatics | 3 cr. |

##### Six credits from the following:

C S 172 | Computer Science I | 4 cr. (3+2P) |

C S 272 | Introduction to Data Structures | 4 cr. (3+2P) |

C S 370 | Compilers and Automata Theory | 4 cr. (3+2P) |

C S 371 | Software Development | 4 cr. (3+2P) |

C S 372 | Data Structures and Algorithms | 4 cr. (3+2P) |

#### Computer Systems

C S 172 | Computer Science I | 4 cr. (3+2P) |

##### Nine credits from the following:

C S 271 | Object Oriented Programming | 4 cr. (3+2P) |

or | ||

C S 272 | Introduction to Data Structures | 4 cr. (3+2P) |

C S 371 | Software Development | 4 cr. (3+2P) |

##### Two courses from the following:

C S 370 | Compilers and Automata Theory | 4 cr. (3+2P) |

C S 474 | Operating Systems I | 3 cr. |

C S 475 | Artificial Intelligence I | 3 cr. |

C S 476 | Computer Graphics I | 3 cr. |

C S 482 | Database Management Systems I | 3 cr. |

C S 484 | Computer Networks I | 3 cr. |

C S 485 | User Interface Design | 3 cr. |

## Emphasis: General

Students seeking a foundation in pure mathematics and flexibility in the curriculum are encouraged to pursue the General Emphasis. Students choosing this emphasis should work closely with a faculty advisor to select courses appropriate to their interests.

### Departmental Requirements

MATH 331 | Introduction to Modern Algebra | 3 cr. |

MATH 332 | Introduction to Analysis | 3 cr. |

### Departmental Electives

At least 18 additional upper-division credits of approved courses prefixed MATH or STAT, excluding:

MATH 300 | Readings | 1-3 cr. |

MATH 313 | Fundamentals of Algebra and Geometry I | 3 cr. (3+1P) |

MATH 316 | Calculus with Hands-on Applications | 3 cr. |

MATH 400 | Undergraduate Research | 1-3 cr. |

MATH 402 | General Special Topics | 1-3 cr. |

MATH 459 | Survey of Geometry | 3 cr. |

STAT 400 | Undergraduate Research | 1-3 cr. |

Any special topics course MATH or STAT 301 and MATH or STAT 401 must be approved by the department for credit towards the major. At least 12 of the MATH and STAT credits must be numbered higher than 400.

### Nondepartmental Requirements for the Major:

*NOTE: A grade of C- or better must be earned.*

Majors in the General Emphasis must pass the second language requirement at the 212/214 level or above, as described in the College Degree Requirements for the College of Arts and Sciences.

C S 172 | Computer Science I | 4 cr. (3+2P) |

C S 272 | Introduction to Data Structures | 4 cr. (3+2P) |

*Note: It is strongly recommended that mathematics majors in the General emphasis consider a minor or second major in an area that uses mathematics, such as physics or computer science. All programs should be planned with the guidance of a departmental advisor. More information is available at www.math.nmsu.edu*