1. MATH/COMP 340: Numerical Analysis I
Spring 2017

2. Course Topics Preliminaries and Error Analysis (Sections 1.1 - 1.3)
Solutions of Equations in One Variable (Sections )
Interpolation, Polynomial Approximation, Applications to Computer Graphics (Sections 3.1, 3.5, 3.6)
Numerical Differentiation and Integration (Sections 4.1, 4.3)
Initial-Value Problems for Ordinary Differential Equations (Sections , 5.9, 5.10)
Direct Methods for Solving Linear Systems (Sections )
Iterative Techniques in Matrix Algebra (Sections 7.1, 7.2)
Selected Topics in Approximation Theory (Sections 8.1, 8.2, 8.5, 8.6)
Boundary-Value Problems for Ordinary Differential Equations (Section 11.3)
Numerical Solutions to Partial Differential Equations (Sections 12.1, 12.4)
The tentative schedule of the course has been posted on my website; see

3. Course Learning Outcomes
Upon successful completion of this course, the student will:
Demonstrate a working knowledge of basics of numerical analysis, including the knowledge of theorems with assumptions.
Demonstrate the ability to:
develop algorithms of solving numerical problems, including applications from other fields,
program the algorithms into effective, efficient, and elegant code,
understand simple proofs and write elementary proofs,
communicate mathematical ideas clearly.

4. Attendance and Textbook
Regular attendance is really necessary. It is quite difficult to catch up with the material when you miss a class. It may become virtually impossible, if you miss several classes.
The Textbook: Burden et al., Numerical Analysis. Tenth Edition. I am a staunch supporter of open-source texts, but despite a thorough search, I have not found a suitable free textbook. Burden's book is probably the most mainstream undergraduate text. There is not enough time to lecture on everything in class and you will have to learn some material on your own. Reading the assigned material is absolutely essential! Pop quizzes may include questions on the assigned reading as a gentle method of enforcing your reading.

5. Proofs and Programming
Proofs: One of the most important tasks in mathematics is proving that certain statements are true. We will be doing proofs in class and you will be required to do simple proofs in your assignments and during the exams.
Programming: This is a cross-listed, mathematics and computer science course. Your assignments will contain programming components. Math and programming problems will both appear on quizzes and exams. You may program in any language you are comfortable with, but my programming expertise is limited to C/C++, Java, and MATLAB.

6. Office Hours and Contact
Office hours (Dr. Lukasz Pruski, Serra 149, x. 4035):
Monday 12:20 – 1:20 and 3 – 4
Tuesday 2:30 – 3:30
Wednesday 2:30 – 3:30
Friday 2:30 – 3:30
and at other times, by appointment.
(I may not be available on some Thursdays.)
Contact: The best way to contact me is by using or I read many times a day. I have voice mail (x. 4035), but I often forget to check it. If for some reason you are unable to contact me, try calling our departmental Executive Assistant, Tina Manabat, at extension 4706.

7. Assignments, Quizzes, Project
Homework Assignments will be assigned and collected with frequency yet to be determined (decision by class vote). For some exercises, a BOB (back of the book) answer is available. The total homework assignment score will count for 25% of the course grade. Late assignments will not be accepted unless you have a valid reason and you arrange it with me in advance.
Pop-Quizzes (not announced in advance). There will be of them. Quiz questions will refer to the recently covered material and to the new material you were supposed to read. Two or three lowest quiz scores will be dropped, and the remaining scores will count for 20% of the course grade. Quizzes cannot be made up unless you have a valid reason for not taking the quiz and you notify me in advance of your absence.
Team Project requiring team research and programming will be assigned in April to be completed by May 10. Each project requires a write-up and a class presentation. The project counts for 10% of the course grade.

8. Exams
Midterm Exam is scheduled for Friday, March 17. The test is of the closed-book variety. No advanced calculators, smart phones, iPads, iPods or similar gadgets are allowed. The test score will count for 15% of the course grade. A test can be made up only if you have an actual emergency and if you notify me in advance about your absence.
The Final Exam (Friday, May 19, 2:00 – 4:30) will be cumulative and its score will count for 30% of the course grade. The final exam will also be closed book, and no advanced calculators or any electronic gadgets will be allowed.

9. Academic Integrity
Academic integrity is strongly promoted by the Mathematics Department. I hope issues related to academic integrity will not arise in our course. There have been some cases of cheating in math/computer science courses in the past – copying someone else’s work or cheating during exams. Depending on the severity of the case, the possible consequences include: assigning the score of 0 on the given assignment, lowering the course grade, or even assigning F in the course.

10. Grading Criteria Total Percentage Grade ============== =====
============== =====
92% and above A
90% - 92% A-
88% - 90% B+
82% - 88% B
80% - 82% B-
75% - 80% C+
65% - 75% C
60% - 65% C-
50% - 60% D
Note: I will “curve grades up” in the unlikely case when the number of A’s and B’s falls below about 40% of the current enrollment.