Engineering Mathematics Expertise

Engineering Mathematics combines mathematical theory, scientific computing and practical engineering and sciences to address today’s complicated real-world problems. It emphasizes the intrinsic unity, through mathematics, of the fundamental problems of applied and engineering science. Students typically go on to jobs in medicine, bioengineering, computer technology, energy conversion, software engineering and even financial consulting.

Mathematics … the root of all human progress

The B.S. in Engineering Mathematics attracts students who want to apply math in the analysis and evaluation of engineering problems and scientific applications to solve the world’s most challenging problems. Mathematics forms the backbone of today’s scientific advances, and the B.S. in Engineering Mathematics provides a strong and flexible base from which to explore any number of specialties. ePolyTechnic F’s engineering mathematics program offers an alternate track to standard engineering degrees and develops a stronger understanding of the underlying science and mathematics of engineering, as well as the application of the scientific methods to engineering problems.

Program Highlights

The B.S. in Engineering Mathematics is offered within the Department of Natural Sciences in the Division of Science, Arts, and Mathematics (SAM). The program allows students with a clear interest in and aptitude for math and engineering to concentrate their studies in the common areas of these disciplines. The program prepares students to be knowledgeable in conceptual understanding of mathematics and its application in engineering and other technical environments. All Engineering Mathematics majors participate in an interdisciplinary capstone project and an internship under the guidance of a faculty member. The Bachelor of Science in Engineering Mathematics offers two concentrations: Mathematical Medicine and Biology and Complex Systems Mathematics.

Concentrations

Complex Systems Mathematics

From transportation systems to weather patterns, biological phenomenon to global finance, social networks to societal issues such as global hunger, mathematics is the common language spoken across all complex systems. Studying Complex Systems Mathematics involves working across disciplines — such as partnering with biochemists and cell biologists to understand biological organisms at the cellular level. This work appeals to those who can hold both the big picture and track the details. Complex systems mathematics recognizes that the mysteries of nature and humankind reveal themselves in small, deliberate steps and requires study that is both incremental and precise — but also broad minded about changes within your discipline and beyond.

Mathematics of Medicine and Biology

The application of mathematics to medicine continues to attract research funding and talent — producing remarkable early insights and long-term promise. The research and application often involve the creation of mathematical models across nearly every aspect of human health — including disease processes, available and experimental treatment strategies, drug interactions and other components of complex biological systems. Mathematical Medicine and Biology touches every aspect of the life sciences: biomechanics, biophysics, cell biology, developmental biology, ecology and the environment, epidemiology, immunology, infectious diseases, neuroscience, pharmacology, physiology, and population biology.

Bachelor of Science, Engineering Mathematics (Plan of Study)

Freshman Year

Semester 1

ESLS 1106 - Academic & Professional Skills Credits: 1

FEIDS 1380 - Introduction to STEM Credits: 3

PENC 1101 - English Composition 1: Expository and Argumentative Writing Credits: 3

ECHM 2045 - Chemistry 1 Credits: 3

FBSC 1010 - Biology 1 Credits: 3

ECHM 2045L - Chemistry 1 Laboratory Credits: 1

FBSC 1010L - Biology 1 Laboratory Credits: 1

EMAC 2311 - Analytic Geometry and Calculus 1 Credits: 4

Select 4 credits from the following Natural Science General Education electives:

FBSC 1010 - Biology 1 Credits: 3

FBSC 1010L - Biology 1 Laboratory Credits: 1

ECHM 2045 - Chemistry 1 Credits: 3

ECHM 2045L - Chemistry 1 Laboratory Credits: 1

Total Semester Credits: 15

Semester 2

PEGN 1007C - Concepts and Methods for Engineering and Computer Science Credits: 1

FCOP 2271C - Introduction to Computation and Programming Credits: 3

PENC 2210 - Technical Writing Credits: 3

EPHY 2048 - Physics 1 Credits: 3

EPHY 2048L - Physics 1 Laboratory Credits: 1

EMAC 2312 - Analytic Geometry and Calculus 2 Credits: 4

Total Semester Credits: 15

Sophomore Year

Semester 1

EMAD 2104 - Discrete Mathematics Credits: 3

PMAP 2302 - Differential Equations Credits: 3

EMAC 2313 - Analytic Geometry and Calculus 3 Credits: 4

EPHY 2049 - Physics 2 Credits: 3

EPHY 2049L - Physics 2 Laboratory Credits: 1

Total Semester Credits: 14

Semester 2

PMAP 3253 - Mathematical Scientific Computation Credits: 3

FMAS 3105 - Linear Algebra Credits: 3

FSTA 3032 - Probability and Statistics Credits: 3

Arts and Humanities Required Course Credits: 3

ECHM 2045 - Chemistry 1 Credits: 3

ECHM 2046 - Chemistry 2 Credits: 3

FBSC 1010 - Biology 1 Credits: 3

ECHM 2045L - Chemistry 1 Laboratory Credits: 1

ECHM 2046L - Chemistry 2 Laboratory Credits: 1

FBSC 1010L - Biology 1 Laboratory Credits: 1

Select 4 credits from the following Natural Science General Education electives:

FBSC 1010 - Biology 1 Credits: 3

FBSC 1010L - Biology 1 Laboratory Credits: 1

ECHM 2045 - Chemistry 1 Credits: 3

ECHM 2045L - Chemistry 1 Laboratory Credits: 1

Total Semester Credits: 16

Junior Year

Semester 1

PMAP 3305 - Engineering Mathematics 1 Credits: 3

PMAP 4314 - Dynamical Systems Credits: 3

FEIDS 4941 - Professional Experience Internship Credits: 0

Focus Area Course Credits: 3

Select a course from LIST II Credits: 3

Total Semester Credits: 15

Semester 2

Choose one course from LIST II courses below:

PMAP 4484 - Mathematical Modeling in Biology I Credits: 3

PMAP 4494 - Mathematical Modeling in Biology II Credits: 3

PMAP 4102 - Probability and Stochastic Processes Credits: 3

PMAP 4202 - Optimization Theory Credits: 3

PMAP 4305 - Engineering Mathematics II Credits: 3

PMAP 4341 - Applied Partial Differential Equations Credits: 3

EMAD 3105 - Discrete Mathematics II Credits: 3

EMAD 3401 - Numerical Analysis Credits: 3

FSTA 3162C - Applied Statistics Credits: 3

Choose a course from LIST I Credits: 3

Focus Area Course Credits: 3

Arts and Humanities Course Credits: 3

Total Semester Credits: 15

Senior Year

Semester 1

MAT 4910 - Engineering Math Capstone 1 Credits: 3

Directed Elective Credits: 3

Focus Area Course Credits: 3

Select a course from LIST II Credits: 3

Total Semester Credits: 15

Semester 2

MAT 4911 - Engineering Math Capstone 2 Credits: 3

Directed Elective* Credits: 3

Focus Area Course Credits: 3

Arts and Humanities Required course Credits: 3

Total Semester Credits: 15

LIST I

MTG 4302 - Elements of Topology 1 Credits: 3

MTG 4303 - Elements of Topology II Credits: 3

PMAP 4413 - Fourier Analysis with Applications Credits: 3

MAA 4102 - Introduction to Advanced Calculus for Engineers and Physical Scientists Credits: 3

LIST II

PMAP 4484 - Mathematical Modeling in Biology I Credits: 3

PMAP 4494 - Mathematical Modeling in Biology II Credits: 3

PMAP 4102 - Probability and Stochastic Processes Credits: 3

PMAP 4202 - Optimization Theory Credits: 3

PMAP 4305 - Engineering Mathematics II Credits: 3

PMAP 4341 - Applied Partial Differential Equations Credits: 3

EMAD 3105 - Discrete Mathematics II Credits: 3

EMAD 3401 - Numerical Analysis Credits: 3

FSTA 3162C - Applied Statistics Credits: 3

Focus Areas

In Order to obtain the Engineering Mathematics Degree with a Focus Area, students must compete the focus area required courses.

Complex Systems

Required Courses

PMAP 4102 - Probability and Stochastic Processes Credits: 3

PMAP 4202 - Optimization Theory Credits: 3

PMAP 4341 - Applied Partial Differential Equations Credits: 3

EMAD 3105 - Discrete Mathematics II Credits: 3

EMAD 3401 - Numerical Analysis Credits: 3

MAA 4102 - Introduction to Advanced Calculus for Engineers and Physical Scientists Credits: 3

FSTA 3162C - Applied Statistics Credits: 3

Elective Courses

FCOP 3337C - Object Oriented Programming Credits: 3

ISC 4930 - Special Topics -Applied Studies Credits: 3

PMAP 4930 - Special Topics Credits: 3

Mathematics of Biology and Medicine

Required Courses

ECHM 2045 - Chemistry 1 Credits: 3

ECHM 2045L - Chemistry 1 Laboratory Credits: 1

ECHM 2046 - Chemistry 2 Credits: 3

ECHM 2046L - Chemistry 2 Laboratory Credits: 1

ECHM 3217 - Organic Chemistry (One Semester) Credits: 3

ECHM 3217L - Organic Chemistry Laboratory (One Semester) Credits: 1

ECHM 3218 - Biochemistry (One Semester) Credits: 3

ECHM 3218L - Biochemistry Lab (One Semester) Credits: 1

FBSC 1010 - Biology 1 Credits: 3

FBSC 1010L - Biology 1 Laboratory Credits: 1

PMAP 4484 - Mathematical Modeling in Biology I Credits: 3

Elective Courses

PISC 4930 - Special Topics -Applied Studies Credits: 3

FCOP 3337C - Object Oriented Programming Credits: 3

BME 4422 - The Biophysics of Neural Computation Credits: 3

PISC 4420 - Introduction to Bioinformatics Credits: 3

PMAP 4494 - Mathematical Modeling in Biology II Credits: 3

Arts, Humanities, and Social Sciences

NOTE: The courses below are used to fill in the General Education requirements noted in the above four-year sequence. Students must take 9 credits total from Arts and Humanities and Social Sciences. Three must come from Arts and Humanities and three must come from Social Sciences. The other three credits may come from either category.

Arts and Humanities

Select 3 to 6 credits from the following courses:

Required, one from the following:

PARH 2000 - Art Appreciation Credits: 3

EHUM 2020 - Introduction to the Humanities Credits: 3

PLIT 2000 - Introduction to Literature Credits: 3

EPHI 2010 - Introduction to Philosophy Credits: 3

Optional, one from the following or one more from Art & Humanities required or Social Sciences:

EHUM 2022 - Explorations in the Humanities Credits: 3

FEIDS 2144 - Legal, Ethical, and Management Issues in Technology Credits: 3

Social Sciences

Select 3 to 6 credits from the following courses. Three credits must come from a History course.

Required, one from the following:

PAMH 2020 – Managerial History Credits: 3

FECO 2013 - Principles of Macroeconomics Credits: 3

EPSY 2012 - General Psychology Credits: 3

Optional, one from the following, or one more from Social Science required or Arts and Humanities:

PAMH 2930 - Special Topics Credits: 1-3

FECO 2023 - Principles of Microeconomics Credits: 3