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

First Year Experience
FYE-101First Year Foundations1
Credit Hours Subtotal: 1
General Education
COMM-101Written & Oral Communication I4
COMM-301Written & Oral Communication II4
ECON-201Economic Principles4
HUMN-201Introduction to Humanities4
LS-489Senior Seminar: Leadership, Ethics, and Contemporary Issues4
SSCI-201Introduction to the Social Sciences4
Advanced Humanities Elective4
Advanced Social Science Elective4
Credit Hours Subtotal: 32
Computer Programming
Select one of the following:4
Computing & Algorithms I
MATLAB and C Programming
Algorithms and Computer Programming
Credit Hours Subtotal: 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
Credit Hours Subtotal: 12
Mathematics
MATH-101Calculus I4
or MATH-101X Calculus I
MATH-102Calculus II4
or MATH-102X Calculus II
MATH-203Multivariate Calculus4
MATH-204Differential Equations & Laplace Transforms4
MATH-305Numerical Methods and Matrices4
MATH-307Matrix Algebra4
MATH-308Abstract Algebra4
MATH-313Boundary Value Problems4
MATH-321Real Analysis I4
MATH-327Mathematical Statistics I4
MATH-412Complex Variables4
MATH-416Vector Analysis4
Credit Hours Subtotal: 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
Credit Hours Subtotal: 28-36
Electives
Science Electives8
Free Electives16-24
Credit Hours Subtotal: 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
Credit Hours Subtotal: 4
Total Credit Hours153-169

(Minimum) Total Credits Required for Program: 161

Representative Program

Plan of Study Grid
Freshman ICredit 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 Hours17
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 Hours16
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 Hours16
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 Hours16
 Total Credit Hours65

Actuarial Science Concentration

Plan of Study Grid
Junior ICredit 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 Hours20
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 Hours16
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 Hours20
Senior II
MATH-321 Real Analysis I 4
MATH-361 Life Contingencies II 4
MATH-448 Time Series 4
Free Electives 8
 Credit Hours20
Senior III
LS-489 Senior Seminar: Leadership, Ethics, and Contemporary Issues 4
MATH-412 Complex Variables 4
Free Electives 8
 Credit Hours16
Any Term
CUE -495/C/E/P/R Culminating Undergraduate Experience 4
 Credit Hours4
 Total Credit Hours96

(Minimum) Total Credits Required for Program: 161

Applied and Computational Mathematics Concentration

Plan of Study Grid
Junior ICredit 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 Hours16
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 Hours16
Senior I
MATH-416 Vector Analysis 4
Advanced Humanities or Advanced Social Science Elective 4
Engineering Applications/CS Sequence 4
Free Electives 8
 Credit Hours20
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 Hours20
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 Hours20
Any Term
CUE -495/C/E/P/R Culminating Undergraduate Experience 4
 Credit Hours4
 Total Credit Hours96

(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.

CS-Sequence
CS-102Computing & Algorithms II4
CS-203Computing & Algorithms III4
CS-312Theory of Computation4
CS-415Cryptography4
EE-Sequence
EE-210Circuits I3
EE-240Electromagnetic Fields and Applications4
EE-340Electromagnetic Wave Propagation4
EE-348Electromagnetic Compatibility4
IME-Sequence
IME-251Engineering Economics4
IME-321Operations Research I - Deterministic Models4
IME-423Operations Research II - Stochastic Models4
IME-453Tools for Managing the Supply Chain4
MECH-Sequence
MECH-210Statics4
MECH-212Mechanics of Materials4
MECH-310Dynamics4
MECH-320Thermodynamics4
PHYS-Sequence
PHYS-302Vibration, Sound and Light4
PHYS-362Modern Physics and Lab4
PHYS-412Theoretical Mechanics4
PHYS-462Quantum Mechanics4

Applied Statistics Concentration

Plan of Study Grid
Junior ICredit 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 Hours16
Junior II
MATH-305 Numerical Methods and Matrices 4
MATH-448 Time Series 4
Free Elective 4
Industrial/MATH Elective 1 4
 Credit Hours16
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 Hours20
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 Hours20
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 Hours20
Any Term
CUE -495/C/E/P/R Culminating Undergraduate Experience 4
 Credit Hours4
 Total Credit Hours96

(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

Plan of Study Grid
Junior ICredit 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
Appl Chem for Engineers
or Survey of Organic Chemistry
4
Free Elective 4
 Credit Hours20
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 Hours16
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 Hours20
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 Hours18
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 Hours20
Any Term
CUE -495/C/E/P/R Culminating Undergraduate Experience 4
 Credit Hours4
 Total Credit Hours98

(Minimum) Total Credits Required for Program: 161