Computer and Computational Mathematics 1
COMPUTER AND
COMPUTATIONAL
MATHEMATICS
The courses in Computer and Computational Mathematics (CCM) develop
skills in applying mathematical algorithms and scientific computing in
real world situations.
Minor or Integrative Studies
Concentration Requirements
A minor or concentration consists of 12 hours of upper-level credit in
courses specifically selected as CCM.
• A minimum GPA of 2.0 is required for the minor/concentration. The
GPA is based on all coursework required within the minor (excluding
prerequisites).
• A minimum of 9 credits must be completed at UM-Dearborn for a 12
credit minor/concentration.
• A minimum of 12 credits must be completed at UM-Dearborn for a 15
or more credit minor/concentration.
• Courses within a minor/concentration cannot be taken as Pass/Fail
(P/F)
• Only 3 credit hours of independent study or internship may be used to
fulfill the requirements for a 12 credit hour minor/concentration. Only
6 credit hours of such credit may be used in a 15 or more credit hour
minor/concentration.
• Minors requiring 12 credits may share one course with a major.
Minors requiring 15 credits or more may share two courses with
a major. This does not apply to concentrations for the Integrative
Studies major.
CCM150 Computer Science I 4 Credit Hours
An introduction to structured computer programming covering problem
formulation, algorithm development, the C++ programming language,
program testing and debugging, capabilities and elements of computer
organization, and object-oriented software methodologies.
Prerequisite(s): MATH115*
Corequisite(s): CCM150L
CCM172 Computing Environ for Math 3 Credit Hours
This course covers introductory programming techniques for
Mathematics majors. Students will learn to program in sage and python.
Topics include data types, variables and assignments, decisions, loops,
functions, recursion, arrays and objects. Programming assignments
focus on problems that are mathematical in nature, giving students
an opportunity to use simulations to understand and verify familiar
mathematical results. This course, or CIS/CCM150, satisfies the
programming requirement for the Mathematics concentration.
Prerequisite(s): MATH115
Restriction(s):
Can enroll if Class is Freshman or Sophomore or Junior or Senior
Can enroll if College is Arts, Sciences, and Letters
CCM305 The Theory of Computation 3 Credit Hours
An introduction to the foundations of computer science including
the theory of computability, Turing machines, automata, and formal
languages.
Prerequisite(s): CIS 175 and (CIS200 or IMSE 200)
CCM390 Topics in Computational Math 1 to 3 Credit Hours
A course designed to offer selected topics in different areas of applied
mathematics. The specific topics will be announced together with the
prerequisites for each separate offering. Course may be repeated when
the topics covered differ.
CCM399 Independent Studies 1 to 3 Credit Hours
Readings or analytical assignments in Computers and Computational
Mathematics in accordance with the needs and interests of those
enrolled and agreed upon by the student and advising instructor.
CCM404 Dynamical Systems 3 Credit Hours
The aim of this course is to survey the standard types of differential
equations. This includes systems of differential equations, and partial
differential equations, including for each type, a discussion of the
basic theory, examples of applications, and classical techniques of
solutions with remarks about their numerical aspects. Also included are
autonomous and periodic solutions, phase space, stability, perturbation
techniques and Method of Liapunov. Students cannot receive credit for
both MATH404 and MATH504. (AY).
Prerequisite(s): (MATH 216 or MATH228) and (MATH 217 or MATH227)
CCM451 Computer Graphics 3 Credit Hours
Basic geometrical concepts: graphics output primatives, two-dimensional
transformations, windowing and clipping, three-dimensional viewing,
visible surface detection methods, and graphical user interfaces. (F).
Prerequisite(s): (MATH 217 or MATH227 or MATH228) and ((CIS350
or CIS3501 or IMSE350) or (ECE370 and MATH276) or (ECE370 and
ECE276))
Restriction(s):
Cannot enroll if Class is
CCM458 Introduction to Wavelets 3 Credit Hours
This course will introduce the students to theory and application of
wavelets using linear algebra. Topics will include the discrete Fourier
transform, the fast Fourier transform, linear transformations, orthogonal
decomposition, discrete wavelet analysis, the filter bank, Haar Wavelet
family, Daubechies's Wavelet family, and applications. Students cannot
receive credit for both MATH458 and MATH558. (OC)
Prerequisite(s): MATH 217 or MATH227
Restriction(s):
Can enroll if Class is Sophomore or Junior or Senior
CCM472 Introduction to Numerical Analysis 3 Credit Hours
This course is an introduction to numerical analysis and scientific
computing. Topics include: floating point representation, round off error,
root finding techniques, interpolation, numerical integration, Gaussian
elimination and techniques for solving linear systems, minimizing
functions, and methods for solving ordinary differential equations
numerically. Students cannot receive credit for both MATH472 and
MATH572. (F).
Prerequisite(s): MATH227
CCM473 Matrix Computation 3 Credit Hours
A study of the most effective methods for finding the numerical solution
of problems which can be expressed in terms of matrices, including
simultaneous linear equations, orthogonal projections and least squares,
eigenvalues and eigenvectors, positive definite matrices, and difference
and differential equations. (AY).
Prerequisite(s): MATH 217 or MATH227
*An asterisk denotes that a course may be taken concurrently.
Frequency of Offering
