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Bachelor of Science in Mathematics/Computer
Science 2008
There are many close relationships between mathematics and computer
science.
For instance:
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Theorems from number theory form the basis
for encryption algorithms for messages sent over the Internet.
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Facts
from projective geometry and multivariable calculus underlie the
computer algorithms that control computer animation,
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Properties of
abstract groups are instrumental in correcting transmission errors
that occur when information is sent from one computer to another
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Graph theory and
combinatorics are used
to create algorithms for Internet search engines and analyze
Internet routing protocols
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Mathematical analysis is used both
to determine relative efficiency of various algorithms and to select
which algorithms will produce numerically correct answers.
The joint major program is intended to appeal to academically
talented students. It is designed to prepare them for graduate
study in various areas of computer science such as theoretical
computer science, graphics, data analysis, artificial intelligence,
and computational methods and in areas in applied mathematics such
as numerical analysis or discrete mathematics. It is equally
designed to prepare them to compete for the more intellectually
demanding jobs in computer software development.
The B.S. in
Mathematics and Computer Science consists of five parts:
The
courses in the Core build the necessary foundation in discrete and
continuous mathematics, problem solving, algorithmic thinking and
programming. The Advanced Classes allow the student to explore different
areas of mathematics and computer science in more depth.
Liberal Studies Program (19 courses)
Freshman and Sophomore Core:
5 courses
Learning Domains:
13 courses.
Junior Year Experiential Learning Course
Core Classes
(14 Courses)
| Offered Winter | |
| In class | |
| √ |
MAT 140 Discrete Mathematics I
| | √ |
MAT 141 Discrete Mathematics II
| | √ |
MAT 260 Multivariable Calculus I
| | |
MAT 262 Linear Algebra
| | | |
In addition, students must complete one of the following three-course sequences:
OR
| Offered Winter | |
| In class | |
| |
MAT 160 Calculus for Mathematics and Science Majors I
| | √ |
AND
MAT 161 Calculus for Mathematics and Science Majors II
| | |
AND
MAT 162 Calculus for Mathematics and Science Majors III
| | | |
OR
| Offered Winter | |
| In class | |
| |
MAT 170 Calculus I with Scientific Applications
| | √ |
AND
MAT 171 Calculus II with Scientific Applications
| | |
AND
MAT 172 Calculus III with Differential Equations
| | | |
(MAT 147, MAT 148 and MAT 149 may also be used to satisfy this requirement)
| Offered Winter | |
| In class | |
| √ |
CSC 241 Introduction to Computer Science I
| | √ |
CSC 242 Introduction to Computer Science II
| | √ |
CSC 321 Design and Analysis of Algorithms
| | √ |
CSC 383 Data Structures and Algorithms in Java
| | √ |
OR
CSC 393 Data Structures in C++
| | | |
| Offered Winter | |
| In class | |
| √ |
CSC 373 Computer Systems I
| | √ |
CSC 374 Computer Systems II
| | | |
Advanced Classes (7 Courses)
Students
can choose advanced computer science and mathematics classes from
different areas including theory of computation, computational
mathematics, artificial intelligence, data analysis, graphics, and
computer vision. It is recommended that students concentrate on one or
two areas for their advanced classes to achieve depth, but they are not
required to do so. Students are strongly encouraged to discuss course
selection with an advisor.
Students choose seven courses from the following area lists. At least
three of the courses have to be in computer science (or graphics) and at
least three in mathematics. Courses not on this list need to be approved
by an advisor. In particular, students may wish to arrange with a
professor to take an independent study or a research experience (MAT 399
or CSC 399 or IT 300) in order to explore a subject more deeply than is
possible in a scheduled course.
The courses in the theory area explore the mathematical and logical
foundations of computer science.
The computational methods area investigates quantitative and
computational methods in computer science.
| Offered Winter | |
| In class | |
| √ |
CSC 331 Scientific Computing
| | |
CSC 385 Numerical Analysis
| | √ |
OR
MAT 385 Numerical Analysis I
| | |
CSC 386 Advanced Numerical Analysis
| | |
OR
MAT 386 Numerical Analysis II
| | √ |
MAT 330 Methods of Computation and Theoretical Physics I
| | |
MAT 331 Methods of Computation and Theoretical Physics II
| | |
MAT 384 Mathematical Modeling
| | | |
For students with an interest in the computational
relations between syntax and semantics.
| Offered Winter | |
| In class | |
| |
CSC 380 Foundations of Artificial Intelligence
| | |
CSC 357 Expert Systems
| | |
CSC 358 Symbolic Programming
| | | |
For Students who are interested in statistical and computational Analysis of data. Many of the courses in this area require the student to take MAT 351-353.
| Offered Winter | |
| In class | |
| |
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 and the Monte Carlo Method
| | |
CSC 367 Introduction to Data Mining
| | √ |
MAT 261 Multivariable Calculus II
| | |
MAT 351 Probability and Statistics I
| | √ |
MAT 352 Probability and Statistics II
| | |
MAT 353 Probability and Statistics III
| | √ |
MAT 355 Stochastic Processes
| | |
MAT 357 Nonparametric Statistics
| | |
MAT 370 Advanced Linear Algebra
| | |
MAT 356 Applied Regression Analysis
| | √ |
MAT 358 Applied Time Series and Forecasting
| | | |
The graphics courses are intended for students who want to study the
technical and mathematical foundations of computer graphics and
animation.
| Offered Winter | |
| In class | |
| |
MAT 337 Complex Analysis
| | √ |
MAT 261 Multivariable Calculus II
| | |
MAT 370 Advanced Linear Algebra
| | |
CSC 385 Numerical Analysis
| | √ |
OR
MAT 385 Numerical Analysis I
| | √ |
GPH 211 Perceptual Principles for Digital Environments I
| | |
GPH 212 Perceptual Principles for Digital Environments II
| | |
GPH 325 Survey of Computer Graphics
| | √ |
GPH 329 Computer Graphics Development II
| | |
GPH 336 Smooth Surface Modeling for Graphics and Animation
| | |
GPH 372 Principles of Computer Animation
| | | |
Computer vision studies the mathematical and algorithmic
underpinnings of image analysis and image processing.
| Offered Winter | |
| In class | |
| √ |
MAT 261 Multivariable Calculus II
| | |
MAT 335 Real Analysis I
| | |
MAT 381 Fourier Analysis and Special Functions
| | |
MAT 370 Advanced Linear Algebra
| | |
MAT 384 Mathematical Modeling
| | |
CSC 381 Introduction to Digital Image Processing
| | √ |
CSC 382 Applied Image Analysis
| | |
CSC 384 Introduction to Computer Vision
| | | | Capstone Courses:
Students can choose from several capstone courses, depending on their
interest and coursework:
| Offered Winter | |
| In class | |
| √ |
CSC 378 Software Projects for Community Clients
| | √ |
CSC 394 Software Projects
| | |
GPH 395 Computer Graphics Senior Project
| | √ |
MAT 398 Senior Capstone Seminar
| | | |
Students need to make sure that they cover all prerequisites of their respective capstone (possibly using open electives).
Open Electives:
Students choose seven (7) open electives. Open Electives may be taken from any department or program. These are the only courses that may be taken under the pass/fail option (see the undergraduate Bulletin for details). If you wish to pursue a minor, most minor field courses will be credited as open electives.
Grades for all courses in the students major (i.e. non-Liberal Studies and non-Open Elective) must be 'C' or better. Grades of 'C-' may be accepted provided the overall grade point average in the major is 2.0 or better.
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