CAAM 336 · Differential Equations in Science and Engineering
Spring 2013 · Rice University
REFERENCES
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PROBLEM SETS
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EXAMS
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| | Lectures: |
| Section 1: |
MWF 11:00-11:50am, Keith-Weiss Geological Lab 100 |
| Section 2: |
MWF 1:00-1:50pm, Duncan Hall 1070 |
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| Instructors: |
| Section 1: |
Richard Rankin (Richard.A.Rankin@rice.edu), Duncan Hall 3018, (713) 348-2049
Office hours: Tuesday 2:30-3:30pm, Thursday 4-5pm (Duncan Hall 3018), or by appointment.
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| Section 2: |
Thomas Callaghan (tscallaghan@rice.edu), Duncan Hall 2037, (713) 348-5724
Office hours: Monday 9-10am, Friday 3-4pm (Duncan Hall 2037), or by appointment.
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| Teaching Assistant: |
Jun Tan (jt17@rice.edu), Duncan Hall 3017
Office hours: Tuesday 3-4pm, Friday 3-4pm, or by appointment.
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| Recitations: |
Monday, 7-9pm, Duncan Hall 1046 (starting 14 January)
Friday April 12: 7-9 PM, Herzstein 210
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| Syllabus: |
pdf |
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| Prerequisites: |
CAAM 210 and MATH 212. Less formally:
you should be able to write elementary MATLAB programs, and be
comfortable with vector calculus and basic vector and matrix operations.
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| Course Objectives: |
CAAM 336 students learn to identify partial differential equations and solve
canonical cases using both analytical and computational techniques.
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| Course Outcomes: |
Upon completing this course, students should be able to:
1) explain the concept and computation of a best approximation from a subspace;
2) identify linear operators and compute their spectra in basic cases;
3) apply these concepts to obtain exact series solutions to differential equations;
4) develop finite element approximations to the exact solutions;
5) assess the stability requirement for time-dependent approximations;
6) create MATLAB programs that compute and visualize series and finite element solutions.
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| Grade Policy: |
50% exams, 50% problem sets
Class participation will influence borderline and potential A+ grades.
Improving performance over the course of the semester will also be considered.
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| Absence Policy: |
Students are strongly encouraged to contribute to our class community
by attending and participating in lectures and active learning activities.
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| Text: |
Mark S. Gockenbach, Partial Differential Equations:
Analytical and Numerical Methods, 2nd ed., SIAM, Philadelphia, 2011.
You should get the book, but the first edition is acceptable.
(amazon, 1st ed.;
amazon, 2nd ed.; siam, 2nd ed.)
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| Exams: |
Two take-home, five-hour, closed-book exams will each
account for 25% of the final grade.
Each of these pledged exams must be your individual, unassisted effort.
The first exam will be given in early March.
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| Problem Sets: |
Problem sets will be assigned roughly once a week, due at the beginning of class on the specified date.
Alternatively, you can turn your solutions in before this by placing them in your instructor's mailbox, which is located in Duncan Hall 1092.
Mathematically rigorous solutions are expected; strive for clarity and elegance.
You may collaborate on the problems, but your write-up must be your own independent work.
Transcribed solutions and copied MATLAB code are both unacceptable.
You may not consult solutions from previous sections of this class.
Unless it is specified that a particular calculation must be performed `by hand,'
you are encouraged to use MATLAB's Symbolic Math Toolbox (or Mathematica or Maple)
to compute and simplify tedious integrals and derivatives on the problem sets.
As always, you must document your calculations clearly.
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| Professionalism Policy: |
In this course, your problem set solutions are your hard work and thus represent you. As such, we expect them to be presented in a professional manner. To incentivize this, 5 out of 100 points on each problem set will be based not on the accuracy of your solution but instead on the style of its presentation. To earn these points, your solution must satisfy ALL of the following: (1) your name, college, instructor, and problem set number must be written on the top of the first page; (2) if your solution contains multiple pages, it must be stapled; (3) your solution must be legible; (4) your plots must contain titles, axis labels, and legends as appropriate.
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| | Late Policy: |
You may turn in two problem sets one class period late (due at the beginning of class) without penalty.
Subsequent late assignments will be
penalized 20% each. Homework will not be accepted more
than one class period late without a written excuse.
(This implies that you may not use two `lates' on one
assignment.)
In exceptional circumstances, please contact the
instructor as soon as possible: we adhere to Student Health's
`No Note' policy.
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| MATLAB: |
Most homework assignments will require a modest amount of MATLAB programming.
Your solutions should adhere to good programming standards, and must not be copied
from another student. For assistance with the parts of the homework that require you to code in MATLAB, you are encouraged to refer to matlabPrimer.pdf and the MATLAB codes for the demos shown in class, which can be found on the REFERENCES page.
You might also consult:
D. J. Higham and N. J. Higham, MATLAB Guide, 2nd ed.
Getting Started with MATLAB from MathWorks
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Any student with a disability requiring accommodation in this course is encouraged
to contact the instructor during the first week of class, and also to contact
Disability Support Services in the Ley Student Center.
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