# 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 all 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 | ||

CILE-101 | First Year Foundations | 1 |

General Education | ||

COMM-101 | Rhetoric & Writing I | 4 |

COMM-201 | Rhetoric & Writing II | 4 |

ECON-201 | Economic Principles | 4 |

LS-201 | Sophomore Seminar: Exploring the Human Condition | 4 |

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

Advanced Humanities Elective ^{1} | 4 | |

Advanced Comm, Humanities or Social Science Elective ^{1} | 4 | |

Advanced Social Science Elective ^{1} | 4 | |

Credit Hours Subtotal: | 33 | |

Total Credit Hours | 33 |

^{1} | Humanities, Social Science, and Communications advanced electives must be selected from approved 300 and 400 level courses, including one Humanities course and one Social Science Course. Additionally, two of the three advanced electives must be writing intensive. |

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

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 | Probability & Stochastic Modeling | 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 | ||

CILE-400 | Culminating Undergraduate Experience: Thesis ^{2} | 4 |

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

^{2} | Students are automatically registered for CILE-400 in a co-op term when they reach Junior II status. |

## Representative Program

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

CILE-101 | First Year Foundations | 1 |

CHEM-135 | Principles of Chemistry | 3 |

CHEM-136 | Principles of Chemistry Lab | 1 |

COMM-101 | Rhetoric & Writing 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 | ||

MATH-203 | Multivariate Calculus | 4 |

MATH-308 | Abstract Algebra | 4 |

LS-201 | Sophomore Seminar: Exploring the Human Condition | 4 |

PHYS-224 | Electricity and Magnetism | 3 |

PHYS-225 | Electricity and Magnetism Laboratory | 1 |

Credit Hours | 16 | |

Sophomore II | ||

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

MATH-327 | Probability & Stochastic Modeling | 4 |

Science Elective | 4 | |

Free Elective | 4 | |

Credit Hours | 16 | |

Total Credit Hours | 65 |

**Actuarial Science Concentration**

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

MATH-258 | Probability and Statistics | 4 |

MATH-313 | Boundary Value Problems | 4 |

MATH-350 | Financial Mathematics | 4 |

COMM-201 | Rhetoric & Writing II | 4 |

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

Credit Hours | 20 | |

Junior II | ||

BUSN-331 | Financial Management | 4 |

MATH-305 | Numerical Methods and Matrices | 4 |

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

BUSN-221 | Financial Accounting | 4 |

Advanced Humanities Elective | 4 | |

Credit Hours | 20 | |

Senior I | ||

MATH-427 | Statistical Inference & Modeling | 4 |

MATH-360 | Life Contingencies I | 4 |

MATH-416 | Vector Analysis | 4 |

Science Elective | 4 | |

Advanced Social Science Elective | 4 | |

Credit Hours | 20 | |

Senior II | ||

MATH-321 | Real Analysis I | 4 |

MATH-361 | Life Contingencies II | 4 |

MATH-450 | Statistics for Risk Modeling | 4 |

Free Elective | 4 | |

Credit Hours | 16 | |

Senior III | ||

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

MATH-412 | Complex Variables | 4 |

Advanced Comm, Humanities or Social Science Elective | 4 | |

Free Elective | 4 | |

Credit Hours | 16 | |

Any Term | ||

CILE-400 | Culminating Undergraduate Experience: Thesis | 4 |

Credit Hours | 4 | |

Total Credit Hours | 96 |

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

### Applied and Computational Mathematics Concentration

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

MATH-305 | Numerical Methods and Matrices | 4 |

MATH-313 | Boundary Value Problems | 4 |

COMM-201 | Rhetoric & Writing II | 4 |

Free Elective | 4 | |

Credit Hours | 16 | |

Junior II | ||

MATH-328 | Methods of Applied Mathematics | 4 |

MATH-418 | Intermediate Differential Equations | 4 |

Advanced Humanities | 4 | |

Free Elective | 4 | |

Credit Hours | 16 | |

Senior I | ||

MATH-416 | Vector Analysis | 4 |

Engineering Applications/CS Sequence | 4 | |

Advanced Social Science Elective | 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 | |

Science Elective | 4 | |

Free 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 | |

Advanced Comm, Humanities or Social Science Elective | 4 | |

Credit Hours | 20 | |

Any Term | ||

CILE-400 | Culminating Undergraduate Experience: Thesis | 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-351 | 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 | |
---|---|---|

MATH-258 | Probability and Statistics | 4 |

MATH-313 | Boundary Value Problems | 4 |

MATH-412 | Complex Variables | 4 |

COMM-201 | Rhetoric & Writing II | 4 |

Credit Hours | 16 | |

Junior II | ||

MATH-305 | Numerical Methods and Matrices | 4 |

MATH-450 | Statistics for Risk Modeling | 4 |

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

Free Elective | 4 | |

Advanced Humanities Elective | 4 | |

Credit Hours | 20 | |

Senior I | ||

MATH-350 | Financial Mathematics | 4 |

MATH-416 | Vector Analysis | 4 |

MATH-427 | Statistical Inference & Modeling | 4 |

Free Elective | 4 | |

Advanced Social Science Elective | 4 | |

Credit Hours | 20 | |

Senior II | ||

IME-471 | Quality Assurance | 4 |

IME-473 | Design of Experiments | 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 |

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

Advanced Comm, Humanities or Advanced Social Science Elective | 4 | |

Free Elective | 4 | |

Credit Hours | 16 | |

Any Term | ||

CILE-400 | Culminating Undergraduate Experience: Thesis | 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 | |
---|---|---|

MATH-313 | Boundary Value Problems | 4 |

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

COMM-201 | Rhetoric & Writing II | 4 |

Advanced Humanities Elective | 4 | |

Credit Hours | 16 | |

Junior II | ||

MATH-328 | Methods of Applied Mathematics | 4 |

MATH-418 | Intermediate Differential Equations | 4 |

BIOL-241 | Human Biology | 3 |

BIOL-242 | Human Biology Lab | 1 |

Advanced Social Science Elective | 4 | |

Free Elective | 4 | |

Credit Hours | 20 | |

Senior I | ||

MATH-258 | Probability and Statistics | 4 |

MATH-416 | Vector Analysis | 4 |

BIOL-341 | Anatomy and Physiology | 4 |

Science Elective | 4 | |

Advanced Comm, Humanities or Advanced Social Science Elective | 4 | |

Credit Hours | 20 | |

Senior II | ||

MATH-321 | Real Analysis I | 4 |

MATH-330 | Biostatistics | 4 |

BIOL-381 | Molecular Biology | 4 |

BIOL-382 | Molecular 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 | ||

CILE-400 | Culminating Undergraduate Experience: Thesis | 4 |

Credit Hours | 4 | |

Total Credit Hours | 98 |

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