Bachelor of Science in Applied Mathematics

Applied mathematics is the mathematics that is created in response to problems in science, engineering, and society. Applied mathematicians work on a wide variety of topics such as how to construct methods for multi-criteria decision making (requiring discrete mathematics and statistics), predicting how the financial markets will behave (requiring probability/statistics, analysis, optimization), analyzing how liquid flows around solids, and how ions move in biological environments (requiring expertise in computational methods and analysis). Students with an applied mathematics background are prepared for careers in the insurance industry, electronics and computer manufacturers, logistics companies, pharmaceutical firms, and more. An applied mathematics background also prepares students for continuing on the academic path, in graduate programs in pure and applied mathematics, statistics, data science, and financial mathematics.

Our graduates work in financial and insurance companies as analysts, computer and IT companies as programmers and hardware developers, and in many different fields as researchers, as well as in academia. They have gone to excellent graduate schools in mathematics (pure, applied, and financial), physics, design, accounting, and M.B.A. programs. Students have the flexibility to assemble a portfolio of courses that will satisfy both intellectual needs and career preparation. There is a wide variety of courses offered, with strengths in contemporary topics in applied mathematics: stochastic analysis (including mathematical finance), applied analysis, computational mathematics, discrete mathematics, and statistics.

A minor is required, which gives students an area of focus where mathematics may be applied. It consists of five or more related courses in an area outside of applied mathematics. With a minor in computer science, business, or one of the engineering areas, for example, the student will be well prepared to enter the job market in business or government.

If desired, a student can choose a specialization, which selects electives appropriate for different career paths. Another popular option is to double major in both applied mathematics and another subject, such as computer science or physics. There is also the option of a co-terminal degree, where a student graduates with a B.S. and a master's degree at the same time, in as little as five years.

Required Courses

Applied Mathematics Requirements (42)
MATH 100Introduction to the Profession3
MATH 151Calculus I5
MATH 152Calculus II5
MATH 230Introduction to Discrete Math3
MATH 251Multivariate & Vector Calculus4
MATH 252Introduction to Diff Equations4
MATH 332Elementary Linear Algebra3
MATH 350Intro to Computational Mathe3
MATH 380Intro to Mathematical Modeling3
MATH 400Real Analysis3
Select one of the following:3
Number Theory3
Applied Algebra3
Computational Algebraic Geom3
Graph Theory and Applications3
MATH 475Probability3
Applied Mathematics Electives (18)
Select 18 credit hours 118
Minor Requirement (15)
Select five related courses from an area outside of applied mathematics15
Computer Science Requirements (4-6)
Select one of the following sequences:4-6
Object-Oriented Programming I
and Object-Oriented Programming II
4
Intro to Comp Prgrm for Engrs
and Accelerated Intro to Cmptr Sci
6
Intro to Computer Programming
and Accelerated Intro to Cmptr Sci
6
Science Requirement (4)
PHYS 123General Physics I: Mechanics4
Science Electives (9)
Select nine credit hours9
Humanities and Social Science Requirements (21)
See Illinois Tech Core Curriculum, sections B and C21
Interprofessional Projects (IPRO) (6)
See Illinois Tech Core Curriculum, section E6
Free Electives (9)
Select nine credit hours9

 Minimum degree credits required: 128

 

Bachelor of Science in Applied Mathematics Curriculum

Year 1
Semester 1Credit HoursSemester 2Credit Hours
MATH 1003MATH 1525
MATH 1515MATH 2303
Computer Science Course12Computer Science Course12
Science Elective3PHYS 1234
Humanities 200-level Course3Social Sciences Elective3
 16 17
Year 2
Semester 1Credit HoursSemester 2Credit Hours
MATH 2514MATH 2524
MATH 3323MATH 3803
Minor Elective3Minor Elective3
Science Elective3Science Elective3
Humanities or Social Sciences Elective3Social Sciences Elective (300+)3
 16 16
Year 3
Semester 1Credit HoursSemester 2Credit Hours
MATH 430 or 43123MATH 3503
MATH 4753MATH 410 or 45423
Applied Mathematics Elective33Applied Mathematics Elective33
Minor Elective3IPRO Elective I3
Humanities Elective (300+)3Minor Elective3
Free Elective3 
 18 15
Year 4
Semester 1Credit HoursSemester 2Credit Hours
MATH 4003IPRO Elective II3
Minor Elective3Applied Mathematics Elective33
Applied Mathematics Elective33Applied Mathematics Elective33
Social Sciences Elective (300+)3Humanities Elective (300+)3
Free Elective3Free Elective3
 15 15
Total Credit Hours: 128

Applied Mathematics Specializations

In addition to the general B.S. in Applied Mathematics degree, the department offers five special five-course sequences that may be used as a guide for the selection of mathematics electives and will prepare the student for a career in:

  • business/finance
  • industrial research
  • graduate school

Choosing any of the following specializations is optional.

Specialization in Applied Analysis

Program adviser: J. Duan

Applied analysis is one of the foundations for interdisciplinary applied mathematics. The principles of analysis are applied to such areas as partial differential equations, dynamical systems, and numerical analysis. The basic framework, concepts, and techniques of modern mathematical analysis are essential for modeling, analysis, and simulation of complicated phenomena in engineering and science.

Required Courses

MATH 380Intro to Mathematical Modeling3
MATH 400Real Analysis3
MATH 461Fourier Sers&Boudary-Val Probs3
MATH 488Ordry Diff Equ/Dynamical Syst3
MATH 489Partial Differential Equations3
Closely related courses which are recommended as additional electives include:
MATH 402Complex Analysis3
MATH 478Num Mthds for Diff Equations3
MATH 486Mathematical Modeling I3

MATH 380 and MATH 400 are required for all applied mathematics majors. The other three courses count toward MATH electives.

Recommended minors include: Physics or an engineering minor.

Specialization in Computational Mathematics

Program adviser: X. Li

The use of computation/simulation as a third alternative to theory and experimentation is now common practice in many branches of science and engineering. Many scientific problems that were previously inaccessible have seen tremendous progress from the use of computation (e.g., many-body simulations in physics and chemistry, simulation of semi-conductors, etc.). Researchers and scientists in these areas must have a sound training in the fundamentals of computational mathematics and become proficient in the use and development of new algorithms and analytical techniques as they apply to modern computational environments.

Required Courses

MATH 350Intro to Computational Mathe3
MATH 435Linear Optimization3
or MATH 461 Fourier Sers&Boudary-Val Probs
MATH 476Statistics3
MATH 477Numerical Linear Algebra3
MATH 478Num Mthds for Diff Equations3
Closely related courses which are recommended as additional electives include:
MATH 431Computational Algebraic Geom3
MATH 435Linear Optimization 13
MATH 461Fourier Sers&Boudary-Val Probs 13
MATH 484Regression3
MATH 486Mathematical Modeling I3
MATH 488Ordry Diff Equ/Dynamical Syst3
MATH 489Partial Differential Equations3

MATH 350 is required for all applied mathematics majors. The other four courses count toward MATH electives.

Recommended minors include: Artificial Intelligence, Computational Structures, or Software Engineering.

Specialization in Discrete Applied Mathematics

Program adviser: M. Pelsmajer

Discrete applied mathematics is a fairly young branch of mathematics and is concerned with using combinatorics, graph theory, optimization, and portions of theoretical computer science to attack problems in engineering as well as the hard and soft sciences.

Required Courses

MATH 332Elementary Linear Algebra3
MATH 430Applied Algebra3
MATH 435Linear Optimization3
MATH 453Combinatorics3
MATH 454Graph Theory and Applications3
Closely related courses which are recommended as additional electives include:
MATH 410Number Theory3
MATH 431Computational Algebraic Geom3

MATH 332 is required for all applied mathematics majors, and MATH 430 or MATH 454 satisfies the discrete mathematics core requirement. The other three courses count toward MATH electives.

Recommended minors include: Artificial Intelligence, Computational Structures, or Computer Networking.

Specialization in Mathematical Finance

Program adviser: T. Bielecki

Students who choose this specialization may qualify for admission to the Master of Mathematical Finance program—a collaborative program between the Stuart School of Business and the Department of Applied Mathematics. The objective of the MMF program is to provide individuals interested in pursuing careers in the finance industry with advanced education in theoretical, computational, and business aspects of relevant quantitative methodologies.

A business or entrepreneurship minor is required. See the Minors section for more details.

Required Courses

MATH 475Probability3
MATH 476Statistics3
MATH 478Num Mthds for Diff Equations3
MATH 481Intro to Stochastic Processes3
MATH 485Intro to Mathematical Finance3
Closely related courses which are recommended as additional electives include:
MATH 461Fourier Sers&Boudary-Val Probs3
MATH 477Numerical Linear Algebra3
MATH 483Design and Analysis of Exprmnt3
MATH 484Regression3
MATH 486Mathematical Modeling I3
MATH 489Partial Differential Equations3

MATH 475 is required for all applied mathematics majors. The other four courses count toward MATH electives.

Specialization in Stochastics

Program Adviser: I. Cialenco

Stochastics includes traditional statistics (the methods of data analysis and inference) and probability (the modeling of uncertainty and randomness). However, also included are other areas where stochastic methods have been becoming more important in recent years such as stochastic processes, stochastic integration, stochastic dynamics, stochastic partial differential equations, probabilistic methods for analysis, mathematical finance, discrete mathematics, and computational methods for stochastic systems.

Required Courses

MATH 475Probability3
MATH 476Statistics3
MATH 481Intro to Stochastic Processes3
MATH 485Intro to Mathematical Finance3
MATH 488Ordry Diff Equ/Dynamical Syst3
Closely related courses which are recommended as additional electives include:
MATH 453Combinatorics3
MATH 483Design and Analysis of Exprmnt3
MATH 484Regression3
MATH 486Mathematical Modeling I3

MATH 475 is required for all applied mathematics majors. The other four courses count toward MATH electives.