G E O R G E T O W N C O L L E G E

**CSC/MAT327** [*insert semester here*] Syllabus

**CSC/MAT327** Intro. to Numerical Methods,
[*insert time and place here*]

Danny Thorne, Asher 121, 502-863-8362,
danny_thorne@georgetowncollege.edu,
http://spider.georgetowncollege.edu/mpc/thorne/

**Course Description**
Number representation and errors, locating roots of equations,
interpolation, numerical differentiation, numerical integration, eigenproblems, numerical solution of
linear systems of equations, approximation by spline functions, numerical solution of
differential equations, and the method of least squares.

**Course Objectives**
Understanding of and ability to implement algorithms associated with topics listed under Course Description.

**Text**
Cheney and Kincaid,
*Numerical Mathematics and Computing*, Fifth Edition.
We will cover (at least parts of) Chapters 1 through 12 and hopefully have time
for some selections from the remaining chapters.
See the authors' online material:
`http://rene.ma.utexas.edu/CNA/NMC5/index.html`

.

**Grading**
Categories and weightings:
Homework **0.55**,
Exam One **0.15**,
Exam Two **0.15**.
Final **0.15**.
Numerical scores between 0 and 1 (0% and 100%) are computed for
assignments, quizzes and exams by dividing the
total number of points earned by the total number of points possible.
Scores for categories are computed by averaging the individual scores
in the categories.
The score for each category is then weighted according to the above
weights to give an overall course score between 0 and 1.
The overall score for the course is then mapped to a letter grade for
the course as follows:
```
[0.925,1.000]-->
```**A**,
[0.875,0.925)-->**AB**,
[0.825,0.875)-->**B**,
[0.775,0.825)-->**BC**,
[0.700,0.775)-->**C**
[0.600,0.700)-->**D**
[0.000,0.600)-->**F**

.

**Homework**
There will be a mix of theory (pencil-and-paper problems) and practice
(computer problems).
To a degree, the balance between theory and practice can be tailored to
the proclivities of the individual student.
Furthermore, some assignments may be done collaboratively, thus bringing a
variety of strengths to bear on the problems.

**Exams**
Tentative, approximate dates for the midterm exams are
[*insert date here*] for Exam 1 and [*insert date here*] for Exam 2.
If you must miss an exam and want to make it up,
arrange it with me at least a couple of days *before*
the exam date, and provide a documented reason for missing.

The Final Exam is scheduled for
[*insert final exam time and date here*].
We may have a (possibly group-based)
final project instead of a pencil-and-paper final exam.

**Approximate Course Outline**

Weeks 1,2 -- floating point representation, finite precision arithmetic and errors
Week 3 -- root finding methods
Weeks 4,5 -- interpolation
Weeks 6,7,8 -- numerical differentiation and numerical integration
Weeks 9,10 -- numerical solution of linear systems of equations
Week 11 -- eigenproblems
Week 12 -- splines
Week 13 -- numerical solution of ordinary differential equations
Week 14 -- numerical solution of partial differential equations
Week 15 -- method of least squares

**Attendance**
Your attendance will be monitored. There is no explicit
category for attendance in the grading scheme for the course. However,
missed exams and homework will affect your grade. Furthermore,
attendance will flavor my decisions about borderline scores at the end
of the semester.

**Office Hours** My office hours
(
[*insert office hours here*]
)
are posted on my door and on my web page.
They might change, so check my door or the web page to confirm.
I am at your disposal independently of office hours.
You may call ahead, make an appointment
or just drop by and see if I am available.
If I am unavailable due to work-related business when you drop by,
I will let you know; otherwise, I am happy to see you anytime.