# Applied Mathematics

**Home Department:** Mathematics

**Department Head:**

Leszek Gawarecki, Ph.D.

Room 2-100A AB, 810-762-9557

math@kettering.edu

## Program Overview

Mathematics is the universal language of engineering, science, and management. Students majoring in Applied Mathematics at Kettering University select a concentration in Actuarial Science, Applied and Computational Mathematics, Applied Statistics or Mathematical Biology. The degree is very flexible in serving the interests of business and industry, preparing the student for a wide variety of careers. The degree also provides a sound preparation for graduate study. Kettering graduates in Applied Mathematics appreciate their broad-based education because it enables them to work easily with engineers, managers, and scientists. They can contribute to team approaches to problem solving.

Students with concentrations in Actuarial Science will study mathematical and statistical methods of certain actuarial models and the application of those models to insurance and other financial risks. Courses include the early stage of the actuarial exams (P, FM and MLC). The actuarial science concentration provides excellent preparation for the student interested in starting a career in the actuarial profession. It is a leading undergraduate level actuarial program by the standards of the Society of Actuaries. Actuaries are professionals who use mathematics, statistics and financial theory to analyze financial consequences of risk.

Students with concentrations in Applied and Computational Mathematics will study classical and modern mathematical topics related to scientific and engineering disciplines. Courses are included that emphasize the modeling of physical systems from theoretical and practical perspectives as well as practical scientific computations. The student will also complete an application sequence of engineering, science, or computer science courses related to the special interests of the student.

Students with concentrations in Applied Statistics will study modern statistical methods related to the acquisition, organization, analysis, and interpretation of data. Courses are included that emphasize theory and application of probability, statistics, and mathematical modeling.

Students with concentrations in Mathematical Biology will study mathematical and statistical methods related to the modeling of complex biological systems. Theoretical and numerical methods of solution will be applied to ordinary and partial differential equations and systems of equations arising in General and Human Biology, Anatomy and Physiology, and Ecology.

The curriculum for Applied Mathematics includes core mathematics courses that are common to both concentrations. These courses make up about one quarter of the total credits in the program. Considerable emphasis is placed on additional core courses in science, management and humanities.

Applied Mathematics students interact regularly with engineering and science departments through core and other required courses appropriate to the concentrations in applied and computational mathematics, applied statistics and mathematical biology. A substantial number of electives provides flexibility for greater breadth or depth of study in mathematics or its applications.

In addition to the major in Applied Mathematics, there are available minors in Applied and Computational Mathematics and Applied Statistics. Because of the strong mathematical content of Kettering’s other degree programs, it is possible for many students to complete one of these minors with a modest amount of additional course work.

## Program Educational Objectives

The Mathematics Program Faculty have established the following Program Educational Objectives:

- Provide its students with a broad, fundamental understanding of foundational, mathematical and computational concepts.
- Provide the skills to use mathematics in modeling and solving real problems of mathematics, science, engineering, commerce and industry.
- Provide productive employees to science, engineering, commerce, and industry and ensure the relevance of the Applied Mathematics program through interaction with employers.

## Applied Mathematics Program Curriculum Requirements

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

First Year Experience | ||

FYE-101 | First Year Foundations | 1 |

1 | ||

General Education | ||

COMM-101 | Written & Oral Communication I | 4 |

COMM-301 | Written & Oral Communication II | 4 |

ECON-201 | Economic Principles | 4 |

HUMN-201 | Introduction to Humanities | 4 |

LS-489 | Senior Seminar: Leadership, Ethics, and Contemporary Issues | 4 |

SSCI-201 | Introduction to the Social Sciences | 4 |

Advanced Humanities Elective | 4 | |

Advanced Social Science Elective | 4 | |

32 | ||

Computer Programming | ||

Select one of the following: | 4 | |

Computing & Algorithms I | ||

MATLAB and C Programming | ||

Algorithms and Computer Programming | ||

4 | ||

Basic Science | ||

CHEM-135 & CHEM-136 | Principles of Chemistry and Principles of Chemistry Lab | 4 |

PHYS-114 & PHYS-115 | Newtonian Mechanics and Newtonian Mechanics Laboratory | 4 |

PHYS-224 & PHYS-225 | Electricity and Magnetism and Electricity and Magnetism Laboratory | 4 |

12 | ||

Mathematics | ||

MATH-101 | Calculus I | 4 |

or MATH-101X | Calculus I | |

MATH-102 | Calculus II | 4 |

or MATH-102X | Calculus II | |

MATH-203 | Multivariate Calculus | 4 |

MATH-204 | Differential Equations & Laplace Transforms | 4 |

MATH-305 | Numerical Methods and Matrices | 4 |

MATH-307 | Matrix Algebra | 4 |

MATH-308 | Abstract Algebra | 4 |

MATH-313 | Boundary Value Problems | 4 |

MATH-321 | Real Analysis I | 4 |

MATH-327 | Mathematical Statistics I | 4 |

MATH-412 | Complex Variables | 4 |

MATH-416 | Vector Analysis | 4 |

48 | ||

Concentration | ||

Select one of the following concentrations: | 28-36 | |

(Courses for each concentration are listed in the Plan of Study Tab) | ||

Actuarial Science | ||

Applied and Computational Mathematics | ||

Applied Statistics | ||

Mathematical Biology | ||

28-36 | ||

Electives | ||

Science Electives | 8 | |

Free Electives | 16-24 | |

24-32 | ||

Culminating Undergraduate Experience | ||

Culminating Undergraduate Experience Introductory Course (No Credit, Pass/Fail) | ||

Select one of the following: | 4 | |

Co-op Thesis | ||

Intra/Entre/Social E-ship Thesis | ||

Professional Practice Thesis | ||

Research Thesis | ||

4 | ||

Total Credit Hours | 153-169 |

**(Minimum) Total Credits Required for Program: 161**

## Representative Program

Freshman I | Credit Hours | |
---|---|---|

FYE-101 | First Year Foundations | 1 |

CHEM-135 | Principles of Chemistry | 3 |

CHEM-136 | Principles of Chemistry Lab | 1 |

COMM-101 | Written & Oral Communication I | 4 |

MATH-101 | Calculus I | 4 |

Select one of the following: | 4 | |

Computing & Algorithms I | ||

Algorithms and Computer Programming | ||

MATLAB and C Programming | ||

Credit Hours | 17 | |

Freshman II | ||

ECON-201 | Economic Principles | 4 |

MATH-102 | Calculus II | 4 |

MATH-307 | Matrix Algebra | 4 |

PHYS-114 | Newtonian Mechanics | 3 |

PHYS-115 | Newtonian Mechanics Laboratory | 1 |

Credit Hours | 16 | |

Sophomore I | ||

HUMN-201 | Introduction to Humanities | 4 |

MATH-203 | Multivariate Calculus | 4 |

MATH-308 | Abstract Algebra | 4 |

SSCI-201 | Introduction to the Social Sciences | 4 |

Credit Hours | 16 | |

Sophomore II | ||

MATH-204 | Differential Equations & Laplace Transforms | 4 |

PHYS-224 | Electricity and Magnetism | 3 |

PHYS-225 | Electricity and Magnetism Laboratory | 1 |

MATH-327 | Mathematical Statistics I | 4 |

Science Elective | 4 | |

Credit Hours | 16 | |

Total Credit Hours | 65 |

**Actuarial Science Concentration**

Junior I | Credit Hours | |
---|---|---|

COMM-301 | Written & Oral Communication II | 4 |

ECON-342 | Intermediate Microeconomics: Managerial Economics | 4 |

BUSN-331 | Financial Management | 4 |

MATH-313 | Boundary Value Problems | 4 |

MATH-408 | Probability and Statistics | 4 |

Credit Hours | 20 | |

Junior II | ||

MATH-305 | Numerical Methods and Matrices | 4 |

MATH-350 | Financial Mathematics | 4 |

ECON-344 | Intermediate Macroeconomics: Economic Growth and Fluctuation | 4 |

Advanced Humanities or Advanced Social Science Elective | 4 | |

Credit Hours | 16 | |

Senior I | ||

MATH-427 | Mathematical Statistics II | 4 |

MATH-360 | Life Contingencies I | 4 |

MATH-416 | Vector Analysis | 4 |

Advanced Humanities or Advanced Social Science Elective | 4 | |

Science Elective | 4 | |

Credit Hours | 20 | |

Senior II | ||

MATH-321 | Real Analysis I | 4 |

MATH-361 | Life Contingencies II | 4 |

MATH-448 | Time Series | 4 |

Free Electives | 8 | |

Credit Hours | 20 | |

Senior III | ||

LS-489 | Senior Seminar: Leadership, Ethics, and Contemporary Issues | 4 |

MATH-412 | Complex Variables | 4 |

Free Electives | 8 | |

Credit Hours | 16 | |

Any Term | ||

CUE -495/C/E/P/R Culminating Undergraduate Experience | 4 | |

Credit Hours | 4 | |

Total Credit Hours | 96 |

**(Minimum) Total Credits Required for Program: 161**

### Applied and Computational Mathematics Concentration

Junior I | Credit Hours | |
---|---|---|

COMM-301 | Written & Oral Communication II | 4 |

MATH-305 | Numerical Methods and Matrices | 4 |

MATH-313 | Boundary Value Problems | 4 |

Free Elective | 4 | |

Credit Hours | 16 | |

Junior II | ||

MATH-328 | Methods of Applied Mathematics | 4 |

MATH-418 | Intermediate Differential Equations | 4 |

Advanced Humanities or Advanced Social Science Elective | 4 | |

Free Elective | 4 | |

Credit Hours | 16 | |

Senior I | ||

MATH-416 | Vector Analysis | 4 |

Advanced Humanities or Advanced Social Science Elective | 4 | |

Engineering Applications/CS Sequence | 4 | |

Free Electives | 8 | |

Credit Hours | 20 | |

Senior II | ||

MATH-321 | Real Analysis I | 4 |

MATH-423 | Partial Differential Equations | 4 |

Engineering Applications/CS Sequence | 4 | |

Free Elective | 4 | |

Science Elective | 4 | |

Credit Hours | 20 | |

Senior III | ||

LS-489 | Senior Seminar: Leadership, Ethics, and Contemporary Issues | 4 |

MATH-412 | Complex Variables | 4 |

Engineering Applications/CS Sequence | 8 | |

Free Elective | 4 | |

Credit Hours | 20 | |

Any Term | ||

CUE -495/C/E/P/R Culminating Undergraduate Experience | 4 | |

Credit Hours | 4 | |

Total Credit Hours | 96 |

**(Minimum) Total Credits Required for Program: 161**

The student will develop an engineering applications or computer science sequence with the assistance of an academic advisor. The following are examples of a possible CS-sequence, EE-sequence, IME-sequence, MECH-sequence, and PHYS sequence.

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

CS-Sequence | ||

CS-102 | Computing & Algorithms II | 4 |

CS-203 | Computing & Algorithms III | 4 |

CS-312 | Theory of Computation | 4 |

CS-415 | Cryptography | 4 |

EE-Sequence | ||

EE-210 | Circuits I | 3 |

EE-240 | Electromagnetic Fields and Applications | 4 |

EE-340 | Electromagnetic Wave Propagation | 4 |

EE-348 | Electromagnetic Compatibility | 4 |

IME-Sequence | ||

IME-251 | Engineering Economics | 4 |

IME-321 | Operations Research I - Deterministic Models | 4 |

IME-423 | Operations Research II - Stochastic Models | 4 |

IME-453 | Tools for Managing the Supply Chain | 4 |

MECH-Sequence | ||

MECH-210 | Statics | 4 |

MECH-212 | Mechanics of Materials | 4 |

MECH-310 | Dynamics | 4 |

MECH-320 | Thermodynamics | 4 |

PHYS-Sequence | ||

PHYS-302 | Vibration, Sound and Light | 4 |

PHYS-362 | Modern Physics and Lab | 4 |

PHYS-412 | Theoretical Mechanics | 4 |

PHYS-462 | Quantum Mechanics | 4 |

### Applied Statistics Concentration

Junior I | Credit Hours | |
---|---|---|

COMM-301 | Written & Oral Communication II | 4 |

MATH-313 | Boundary Value Problems | 4 |

MATH-408 | Probability and Statistics | 4 |

MATH-412 | Complex Variables | 4 |

Credit Hours | 16 | |

Junior II | ||

MATH-305 | Numerical Methods and Matrices | 4 |

MATH-448 | Time Series | 4 |

Free Elective | 4 | |

Industrial/MATH Elective ^{1} |
4 | |

Credit Hours | 16 | |

Senior I | ||

MATH-350 | Financial Mathematics | 4 |

MATH-416 | Vector Analysis | 4 |

MATH-427 | Mathematical Statistics II | 4 |

Advanced Humanities or Advanced Social Science Elective | 4 | |

Free Elective | 4 | |

Credit Hours | 20 | |

Senior II | ||

IME-333 | Engineering Statistics II - Design of Experiments | 4 |

IME-471 | Quality Assurance | 4 |

MATH-321 | Real Analysis I | 4 |

Free Elective | 4 | |

Science Elective | 4 | |

Credit Hours | 20 | |

Senior III | ||

LS-489 | Senior Seminar: Leadership, Ethics, and Contemporary Issues | 4 |

Advanced Humanities or Advanced Social Science Elective | 4 | |

Free Electives | 8 | |

Industrial/Math Elective ^{1} |
4 | |

Credit Hours | 20 | |

Any Term | ||

CUE -495/C/E/P/R Culminating Undergraduate Experience | 4 | |

Credit Hours | 4 | |

Total Credit Hours | 96 |

**(Minimum) Total Credits Required for Program: 161**

^{1} | The student should select at least two IME/MATH electives from the following courses: IME-321, IME-422, IME-423, and MATH-428. |

### Mathematical Biology Concentration

Junior I | Credit Hours | |
---|---|---|

COMM-301 | Written & Oral Communication II | 4 |

MATH-313 | Boundary Value Problems | 4 |

BIOL-241 | Human Biology | 3 |

BIOL-242 | Human Biology Lab | 1 |

CHEM-245 or CHEM-247 |
Appl Chem for Engineers or Survey of Organic Chemistry |
4 |

Free Elective | 4 | |

Credit Hours | 20 | |

Junior II | ||

MATH-328 | Methods of Applied Mathematics | 4 |

MATH-418 | Intermediate Differential Equations | 4 |

Advanced Humanities or Advanced Social Science Elective | 4 | |

Free Elective | 4 | |

Credit Hours | 16 | |

Senior I | ||

MATH-416 | Vector Analysis | 4 |

MATH-310 | Biostatistics I | 4 |

BIOL-341 | Anatomy and Physiology | 4 |

Advanced Humanities or Advanced Social Science Elective | 4 | |

Science Elective | 4 | |

Credit Hours | 20 | |

Senior II | ||

MATH-321 | Real Analysis I | 4 |

MATH-410 | Biostatistics II | 4 |

BIOL-441 | Cellular Biology | 4 |

BIOL-442 | Cellular Biology Lab | 2 |

Free Elective | 4 | |

Credit Hours | 18 | |

Senior III | ||

LS-489 | Senior Seminar: Leadership, Ethics, and Contemporary Issues | 4 |

MATH-412 | Complex Variables | 4 |

BIOL-481 | Genetics | 4 |

Free Electives | 8 | |

Credit Hours | 20 | |

Any Term | ||

CUE -495/C/E/P/R Culminating Undergraduate Experience | 4 | |

Credit Hours | 4 | |

Total Credit Hours | 98 |

**(Minimum) Total Credits Required for Program: 161**