DePaul University - Department of Mathematical Sciences
 
z= y^2 - x^2

Undergraduate Studies Page

Table Of Contents:

Related Links:

 

 

 

 

 

 

 

 

 

Back to Top

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Back to Top

 

 

 

 

 

 

 

 

 

 

 

Back to Top

 

 

 

 

 

 

 

 

 

 

Back to Top

 

 

 

 

 

 

 

 

 

 

 

 

 

Back to Top

 

 

 

 

 

 

 

Back to Top

 

 

 

 

 

 

 

 

 

 

Back to Top

Mathematics Major:

  • BACHELOR OF ARTS IN MATHEMATICS
  • BACHELOR OF SCIENCE IN MATHEMATICS

To obtain either the bachelor of arts or the bachelor of science degree, students in the College of Liberal Arts and Sciences are required to complete 80 quarter hours of liberal studies courses. The mathematical requirements for both the degrees of bachelor of arts in mathematics and the bachelor of science in mathematics are divided into two parts: a common core in mathematics and a set of six advanced courses in a specialized mathematical concentration. Students whose interests span more than one concentration may consult with a mathematics faculty advisor to create an individualized program of six advanced courses to complete the requirements for the degree. To obtain a bachelor of science degree, students must complete an additional 16 quarter hours of course work in the natural sciences or in computer science.

Double Majors : Students in programs leading to a B.A. or a B.S. degree in the College of Liberal Arts and Sciences, the School of Music, or the school of CTI may double major in mathematics and another field in their home unit. To do so, they must satisfy all the degree requirements for a major in their home unit and also complete the mathematics course requirements for a bachelor's degree in mathematics.

Scheduling of Upper-Level Courses: When planning their schedules, students should expect that the sequences MAT 310-311-312, and MAT 351-352-353 will be offered once each year, beginning in the autumn quarter. Certain other 300-level courses will be offered in alternate years only. Students should consult closely with their advisors to develop a complete program in one of the concentrations.

Performance Requirements: Mathematics majors must complete mathematics course prerequisites with a grade of C or better. This requirement may be waived only with the consent of the department chair.

Bachelor of Science Degree versus Bachelor of Arts Degree: For B.S. degree in Mathematics, in addition to fulfilling the requirements for one of the concentrations below, students must earn 16 quarter hours in the natural sciences or in computer science.

LIBERAL STUDIES REQUIREMENTS:

  • Liberal Studies Core: 28 quarter hours required. For more information, visit click here.

  • First Year Program: (16 quarter hours required)
    Discover Chicago or Explore Chicago, Focal Point Seminar, and Composition and Rhetoric I and II.

  • Sophomore Seminar: (4 quarter hours required).
    Sophomore Seminar on Multiculturalism in the United States.

  • Junior Year Experiential Learning: (4 quarter hours required).
    If your junior year experiential learning requirement also fulfills a major field requirement you may substitute a liberal studies domain elective (from outside your major field area) or the third course in the modern language option for this requirement.

  • Senior Capstone: (4 quarter hours required).
    Mathematical Sciences requires students majoring in Mathematical Sciences to complete the senior capstone in Mathematical Sciences, unless you are a double major and/or in the Honors Program. If you are a double major and/or in the Honors Program you must follow the capstone guidelines for that area if the capstone is required.

  • Arts and Literature: (12 quarter hours required).
    A most 2 courses from the same department or program.

  • Philosophical Inquiry: (8 quarter hours required).

  • Religious Dimensions: (8 quarter hours required).
    4 quarter hours in patterns and problems, and 4 quarter hours in traditions in context.

  • Scientific Inquiry: (4 quarter hours required which must include a lab component).

  • Self, Society and the Modern World: (12 quarter hours required).
    At most 2 courses from the same department or program.

  • Understanding the Past: (8 quarter hours required).
    4 quarter hours of history pre-1800 and 4 quarter hours of history primarily between 1800-1945. In addition, courses must be from two different categories; 1) Asia, 2) Latin America, 3) Africa, 4) North America or Europe and 5) intercontinental or comparative.

Although study in the mathematical sciences contributes to a student's liberal education, courses offered by the Department of Mathematical Sciences are not applied towards liberal studies requirements for the mathematical sciences major. Exceptions to this rule are the junior experiential learning and the senior capstone requirements.

DEGREE REQUIREMENTS:


Joint Major in Mathematics and Computer Science

The Mathematics and Computer Science major is meant for mathematics students with talent and interest in computer science and computer science students with talent and interest in mathematics to develop the necessary background to be able to work in areas which depend on knowledge from both fields. It is designed to prepare the student for graduate study in various areas of computer science such as theoretical computer science, graphics, and computational methods and in areas in applied mathematics such as numerical analysis or discrete mathematics. It is also a good preparation for the more intellectually demanding jobs in computer software development. 

The joint major involves a choice of one of four concentrations: theory, computational methods, graphics, and individualized. The theory concentration is aimed at students with an interest in the mathematical and logical foundations of computer science. The computational methods concentration is intended for students with an interest in quantitative and computational methods in computer science. The graphics concentration is intended for students who want to study the technical and mathematical foundations of computer graphics and animation. The individualized concentration is intended for students who wish to combine advanced study of mathematics and computer science but whose particular area of interest is not exactly satisfied by one of the other three concentrations. An individualized program of study must be approved by the chair of the mathematical sciences department and the dean of CTI."

Requirements

Liberal Studies Program (20 courses)

Freshman and Sophomore Core: 5 courses
Learning Domains: 13 courses. The graphics degree requires ART 105, which will count towards meeting the liberal studies requirement
Junior Year Experiential Learning Course
Capstone Course: The graphics concentration requires GPH 395. Students in the other concentrations may take either the mathematics capstone course MAT 398 or the computer science capstone course CSC 394. Note that students choosing CSC 394 need to take the prerequisite courses CSC 315 and CSC 319 as two of their open electives.

Core Classes (12 Courses)

  • MAT 150-151-152, or MAT 160-161-162 Calculus I, II, & III (MAT 147-148-149 may also be used to satisfy this requirement.)
  • MAT 140-141 Discrete Mathematics I & II
  • MAT 260 Multivariable Calculus I
  • MAT 262 Linear Algebra
  • CSC 211-212 Programming in Java I & II
  • CSC 313 Data Structures in Java (theory concentration), or
  • CSC 309 C++ (computational methods and graphics concentrations)
  • CSC 321 Design and Analysis of Algorithms
  • CSC 347 Concepts of Programming Languages (theory concentration), or
  • CSC 343 Introduction to Operating Systems (computational methods and graphics concentrations)

Concentration Requirements (8 courses)

Specific concentrations for the joint major were developed jointly by faculty in mathematics and computer science to provide guidance to students to help them focus their programs.

Theory Concentration: The theory concentration is aimed at students with an interest in the mathematical and logical foundations of computer science.

  • MAT 303 Number Theory
  • MAT 310 Abstract Algebra I
  • MAT 351 Probability and Statistics I
  • One of the following four courses: MAT 302 Combinatorics, MAT 311 Abstract Algebra II, MAT 370 Advanced Linear Algebra, MAT 372 Logic and Set Theory.
  • CSC 333 Automata Theory and Formal Grammars
  • CSC 358 Symbolic Programming

    Electives: Students select two advanced courses in computer science or mathematics in consultation with their advisors. Possible classes include CSC 389 (CSC 544) Theory of Computation, CSC 348 Compiler Design, CSC 387/MAT 387 Operations Research I, MAT 399 or CSC 399 Independent Study, or any course listed above that is not already included in the student’s program.

Computational Methods Concentration: The computational methods concentration is intended for students with an interest in quantitative and computational methods in computer science.
  • MAT 261 Multivariable Calculus II
  • MAT 351-353 Probability & Statistics I, II, & III
  • CSC 385/MAT 385 Numerical Analysis I
Two classes are chosen from one of the following two sub-concentrations. Students in the Artificial Intelligence concentration are recommended to take CSC 313 as an open elective.
  • Artificial Intelligence:
    • CSC 380 Artificial Intelligence
    • CSC 357 Expert Systems
    • CSC 358 Symbolic Programming
  • Data Analysis:
    • CSC 328 Data Analysis for Experimenters
    • CSC 334 Advanced Data Analysis (or MAT 354 Multivariate Statistics)
    • CSC 332 Simulation and Modeling (or MAT 359 Simulation Models & Monte Carlo Methods)
    • CSC 481 Pattern Recognition and Image Processing
    • MAT 370 Advanced Linear Algebra
    • MAT 356 Applied Regression Analysis

      Electives: Students select one advanced course in computer science or mathematics in consultation with their advisors. This course may be chosen from those listed above that are not already included in a student’s program, or it may come from a broader selection. Possible courses for the artificial intelligence sub-concentration include CSC 456 Foundations of Intelligent Databases and CSC 481 Pattern Recognition and Image Processing. Possible courses for the data analysis sub-concentration include SE 467 Software Reliability and SE 468 Software Measurement. Possible courses for either sub-concentration include CSC/MAT 386 Numerical Analysis II, CSC/MAT 387-388 Operations Research I & II, MAT 302 Combinatorics, MAT 384 Mathematical Modeling, MAT 355 Stochastic Processes, and MAT 357 Nonparametric Statistics.

Graphics Concentration: The graphics concentration is intended for students who want to study the technical and mathematical foundations of computer graphics and animation.
  • MAT 261 Multivariable Calculus II
  • MAT 370 Advanced Linear Algebra
  • One of the following courses: MAT 385 Numerical Analysis I or MAT 337 Complex Analysis
  • GPH 212 Perceptual Principles for Digital Environments I
  • GPH 371 Survey of Computer Graphics
  • GPH 329 Computer Graphics Development
  • GPH 372 Principles of Animation
  • One of the following two courses:
  • GPH 339 Advanced Rendering Techniques
  • GPH 336 Advanced Modeling Techniques
  • GPH 395 Graphics Capstone Course
Individualized Concentration: This concentration is intended for students who wish to combine advanced study of mathematics and computer science but whose particular area of interest is not exactly satisfied by one of the other three concentrations. Students wishing to create an individualized program of study leading to a joint major in mathematics and computer science will be counseled to consult with both mathematics and CTI faculty advisors.

The individualized concentration will consist of the core of 12 courses plus an additional 8 mathematics and computer science courses designed to provide a coherent program. At least three of these courses must be in mathematics and at least three must be in computer science. An individualized program of study must be approved by the chair of the mathematical sciences department and the dean of CTI.

Open Electives (8 classes): Eight courses to be chosen in consultation with an advisor.

Information about this major can also be found on CTI's website at http://www.cs.depaul.edu/programs/2004/BachelorMCS2004.asp

 

Mathematics and Statistics Minors

A minor in mathematics or statistics can be developed to complement a major program in any undergraduate college or school of the university. The Department of Mathematical Sciences recommends that students consult with faculty in their home departments as well as in the mathematical sciences department to decide which elective courses to take as part of the requirements for these minors.

For more information either the Math or Statistics Minors, click here.

Combined B.S./M.S. Degrees

  • BACHELOR OF SCIENCE/MASTER OF SCIENCE IN APPLIED MATHEMATICS

  • BACHELOR OF SCIENCE/MASTER OF SCIENCE IN APPLIED STATISTICS

The combined B.S./M.S. Degree in Applied Mathematics and the combined B.S./M.S. Degree in Applied Statistics allow students to earn both a B.S. in Mathematics and either an M.S. in Applied Mathematics or an M.S. in Applied Statistics. The program in Applied Mathematics is designed for undergraduate mathematics students in one of the following concentrations: Quantitative Analysis and Operations Research, Statistics, or Actuarial Science. The program in Applied Statistics is intended for undergraduate students who seek a more specialized focus on statistical applications. It is expected that students will complete the Common Core in Mathematics by the end of the sophomore year, will begin taking graduate-level courses during the senior year, and will complete the requirements for the Master of Science in Applied Mathematics or the Master of Science in Applied Statistics approximately one year after satisfying the requirements for the B.S. degree. To be admitted to this program, students must apply to either the chair of the department or to one of the program directors no later than the beginning of the junior year. Careful planning of course sequencing in these programs is essential. A maximum of 12 undergraduate quarter hours with grade of B or better may be counted toward the M.S. degree.

DEGREE REQUIREMENTS:


Disclaimer | Math Homepage | DePaul Homepage | CampusConnect | Contact Us | Search