課程概述 |
I. Contents:
The rapid growth of high performance computers
have transformed the methodology of scientific investigation.
Computing is nowadays joined experiment and theory as one of the
fundamental tools of investigation.
The computational mathematics is the core of the scientific computing and
this entry level course is to provide students basic computational
schemes and relevant mathematical analysis.
The contents of this course include
Introduction to scientific computing (2 weeks)
Projects I description (1 week).
Solving equations in one variable (2 weeks)
Projects II description (1 week)
Interpolation and polynomial approximation (3 weeks)
Numerical differentiation and integration (4 weeks)
Projects III description (1 week)
Initial-value problems for ordinary differential equations (4 weeks)
I encourage those students who want to take the Introduction to Computational Linear Algrbra next semester take this entry level course first.
II. Course prerequisite:
Calculus. It is better if students have taken or are taking ``Introduction to ordinary differential equations.``
III. Reference material ( textbook(s) ):
Richard L. Burden and J. Douglas Faires, Numerical Analysis, Brooks/Cole Company
IV. Grading scheme:
Homeworks: 30 %
Projects: 40 %
Final oral exam 30 %
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