| Curriculum - Fifth Math Options
Math Option to Replace MAP 3306
Announced Fall 2004
MAD3401, MAD3703, MAP3306, MAP3341/MAP4341,
MAS3105, STA3034/STA3032
| FAMU# |
FSU
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MAD
3401 Numerical Analysis(3). Prerequisite:
MAC 2313. Programming skills required.
Major
topics: solutions to scalar nonlinear and finite
difference equations; numerical differentiation
and integration; error and convergence; general
interpolation problems, interpolation and quadrature,
numerical solutions of algebraic and transcendental
equations.
|
MAD
3401 Introductory Numerical Analysis (3).
Prerequisites: MAC 2312; competence in a programming
language suitable for numeric computations.
Polynomial
interpolation, data fitting, solutions to nonlinear
equations, numerical integration, and differentiation.
Not open to mathematics majors.
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Recommended
for ME students interested in computational mechanics
or following Dynamic Systems and Thermal Fluids
tracks.
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MAD
3703 Numerical Analysis I
(3). Prerequisites: MAC 2312; MAS 3105; FORTRAN
or PASCAL or C.
Root finding, interpolation and polynomial approximation,
numerical differentiation and integration, direct and
iterative methods for systems of linear equations. |
| Recommended
for ME students interested in computational mechanics
or following Thermal Fluids Track. |
MAP
3306 Engineering Mathematics II3). Prerequisites:
MAP 3305 and MAC 3313.
Vector calculus. Solution of partial differential equations
by separation of variables, SturmLouville problems, Fourier
series, complex numbers, complex integrals. |
MAP
3306 Engineering Mathematics II
(3). Prerequisites: MAC 2313; MAP 2302 or MAP 3305.
Not open to students having credit in MAP 4341. Fourier
series and Fourier transforms, introduction to partial
differential equations.
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Strongly
recommended for ME students intending to pursue a PhD
in Mechanical Engineering, Magnet Science and Technology,
Thermal Fluids tracks
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MAP
3341 Partial Differential Equations (3).
Prerequisite: MAC 2313.
Major
topics: solution of first-order partial differential
equations, classification of linear second-order partial
differential equations, separation of variables, initial
value and initial boundary value problems.
|
MAP
4341 Elementary Partial Differential Equations I
(3).
Prerequisites: MAC 2313; MAP 2302 or 3305.
Separation of variables,Fourier Series, Sturm-Liouville
problems, multidimensional initial boundary value problems,
nonhomogeneous problems, Bessel functions and Legendre
polynomials. |
|
Recommended
for ME students following Thermal Fluids Track.
|
MAS
3105 Linear Algebra (3).
Prerequisites: MAC 2312 or consent of instructor.
Investigation of systems of linear equations, vector spaces
over a field, linear transformations, theory of determinants
and canonical forms. |
MAS
3105 Applied Linear Algebra 1(4). Prerequisite:
MAC 2312.
Gaussian elimination, vector spaces, least squares problems,
determinants, eigenvalues and eigenvectors, linear transformations,
applications. |
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Recommended
for ME students following Dynamic Systems Track. Required
for transfer students entering with Differential Equations.
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STA
3032 Applied Statistics for Engineers and Scientists
(ME students take for 3). Prerequisite: MAC 2312. This
course will cover calculus-based probability, discrete
and continuous random variables, joint distributions,
sampling distributions, and central limit theorem. Topics
include descriptive statistics, interval estimates and
hypothesis tests, ANOVA, correlation, simple and multiple
regression, analysis of categorical data, and statistical
quality control. |
|
Recommended
for ME students who will be entering industry jobs upon
completion of their BS in ME.
Required for BSMS students
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STA
3034 Mathematical Statistics (3). Prerequisite:
MAC 2312.
Major topics: analysis of variance; multiple regression;
contingency tables; experimental design, calculus based.
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Recommended
for ME students who will be entering industry jobs upon
completion of their BS in ME.
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