Bachelor of Science in Applied Mathematics

Required Courses

Applied Mathematics Requirements (42)
MATH 100Introduction to the Profession3
MATH 151Calculus I5
MATH 152Calculus II5
MATH 230Introduction to Discrete Math3
MATH 251Multivariate and Vector Calculus4
MATH 252Introduction to Differential Equations4
MATH 332Elementary Linear Algebra3
MATH 350Introduction to Computational Mathematics3
MATH 380Introduction to Mathematical Modeling3
MATH 400Real Analysis3
Select one of the following:3
Number Theory3
Applied Algebra3
Computational Algebraic Geometry3
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
Introduction to Computer Programming for Engineers
and Accelerated Introduction to Computer Science
6
Introduction to Computer Programming
and Accelerated Introduction to Computer Science
6
Science Requirement (4)
PHYS 123General Physics I: Mechanics4
Science Electives (9)
Select nine credit hours9
Humanities and Social Science Requirements (21)
See IIT Core Curriculum, sections B and C21
Interprofessional Projects (IPRO) (6)
See IIT Core Curriculum, section E6
Free Electives (9)
Select nine credit hours9

 Minimum degree credits required: 128

1

Applied mathematics electives are to be chosen after consultation with an academic adviser. Student goals, interests, and course availability should be determining factors in this selection process. The optional specializations on the Specializations tab may also serve as a guide to applied mathematics elective selection.

 

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
1

Students must complete one of the following computer science sequences: CS 115 and CS 116CS 104 and CS 201, or CS 105 and CS 201.

2

Applied mathematics majors are required to take one of the following: MATH 410, MATH 430, MATH 431, or MATH 454. MATH 430 and MATH 431 are offered only during fall semesters; MATH 410 and MATH 454 are offered only during spring semesters. If a student chooses to take only one of these courses, then the other slot is to be interpreted as an applied mathematics elective.

3

Applied mathematics electives are to be chosen after consultation with an academic adviser. Student goals, interests, and course availability should be determining factors in this selection process. The optional specializations on the Specializations tab may also serve as a guide to applied mathematics elective selection.

 

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 380Introduction to Mathematical Modeling3
MATH 400Real Analysis3
MATH 461Fourier Series and Boundary-Value Problems3
MATH 488Ordinary Differential Equations and Dynamical Systems3
MATH 489Partial Differential Equations3
Closely related courses which are recommended as additional electives include:
MATH 402Complex Analysis3
MATH 478Numerical Methods for Differential 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 350Introduction to Computational Mathematics3
MATH 435Linear Optimization3
or MATH 461 Fourier Series and Boundary-Value Problems
MATH 476Statistics3
MATH 477Numerical Linear Algebra3
MATH 478Numerical Methods for Differential Equations3
Closely related courses which are recommended as additional electives include:
MATH 431Computational Algebraic Geometry3
MATH 435Linear Optimization 13
MATH 461Fourier Series and Boundary-Value Problems 13
MATH 484Regression and Forecasting3
MATH 486Mathematical Modeling I3
MATH 488Ordinary Differential Equations and Dynamical Systems3
MATH 489Partial Differential Equations3
1

Only if not already counted as a required course.

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 Geometry3

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 478Numerical Methods for Differential Equations3
MATH 481Introduction to Stochastic Processes3
MATH 485Introduction to Mathematical Finance3
Closely related courses which are recommended as additional electives include:
MATH 461Fourier Series and Boundary-Value Problems3
MATH 477Numerical Linear Algebra3
MATH 483Design and Analysis of Experiments3
MATH 484Regression and Forecasting3
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 481Introduction to Stochastic Processes3
MATH 485Introduction to Mathematical Finance3
MATH 488Ordinary Differential Equations and Dynamical Systems3
Closely related courses which are recommended as additional electives include:
MATH 453Combinatorics3
MATH 483Design and Analysis of Experiments3
MATH 484Regression and Forecasting3
MATH 486Mathematical Modeling I3

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