MATH 373-01: Spring 2011
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Professor: Dr. Talitha M. Washington Contact Info: Office: KC 318; Phone: 488-2213; E-mail:
[email protected] Office hours: M 8-10, 3-4; Tu 8-11; W 8-10; F 8-10; and by appointment Class Time: 2:00-2:50 PM, MWF Text: Numerical Analysis, Timothy Sauer Course Website: Blackboard, http://acebb.evansville.edu Course Description: MATH 373 Numerical Methods (3): Covers numerical computer-based methods for solving transcendental equations, systems of linear equations, interpolation, approximation, numerical integration and differentiation, and numerical solutions of ordinary differential equations. Prerequisite: Computer Science 205 or 210 or equivalent; Mathematics 222. Course Learning Objectives: The main objective will be to have a clear understanding of the ideas and techniques underlying numerical methods and algorithms, including the role of error analysis. You will then be able to use this knowledge to analyze the numerical methods and algorithms that you will encounter, and also to program them effectively on a computer. This knowledge will be useful in your future to solve various problems numerically. Specifically, this course strives to help you: gain factual knowledge about numerical approximation techniques acquire methods to solve mathematical problems numerically learn fundamental principles of numerical methods learn to apply course material using the software package MATLAB for analysis and presentation of data Nature of the Class: This is a course on computational methods for solving mathematical problems using computers. This includes the construction, application and analysis of computational algorithms. The style of the course will be skewed towards solving mathematical problems with computers, and not very theoretical in nature. Since many of the numerical methods will be derived from calculus, I expect familiarity and expertise with the concepts in computer programming as well as Differential and Integral Calculus. However, this is a 300-level math class and I will expect a corresponding level of mathematical rigor and student responsibility. Software: The main software tool is MATLAB. MATLAB is available on campus in several computer labs in Koch Center (such as KC 270) and tutorials are cited on our class website. Methods of Instruction: Typical class periods will follow a lecture/discussion format. You are expected to read the text, have patience with the programming, complete all assigned work, and ask questions. Grading: The weights in determining your final grade are as follows: Homework - 50% Two Midterm Exams (Feb 11, Apr 1) - 20% Comprehensive Final Exam - 30% o Tuesday, May 3, 2:45 PM Final grades will be assigned using the following percentages: A 90-100; B 80-89; C 70-79; D 60-69; F 0-59. Plus and minus grades will be given for scores in the upper and lower portions of these ranges; however, I reserve the right to subjectively adjust your final grade. Please see me if you have any question about how you stand. All grades will be posted and updated regularly on Blackboard. Course requirements and policies: a. Calculators: You may use a calculator on all exams. Calculators with symbolic algebra capability (e.g. TI-89 or TI-92) will not be allowed during tests, exams or quizzes.
MATH 373-01: Spring 2011
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b. Attendance: You are expected to attend class on time every day. However, if you miss a day, it is up to you (not me, or your classmates) to catch up and learn what you have missed. c. Homework: Assignments will be posted on the class website. Assignments must be turned in at the start of class on the day that they are due. Late homework will be accepted to a point, but will be subject to a penalty. The problems will be a mix of pencil-and-paper and computer (MATLAB) work. d. Exams: The Midterm Exams will be completed in-class. The Final Exam is a take-home exam. e. Make-ups: Assignments that are to be completed outside of class will not be accepted late for any reason. Make-up exams will be given only in extreme circumstances that are documented university approved excused absences, and only if I am aware of the circumstances prior to the exam. In particular, make-ups will never be given to accommodate travel plans. f. Submitted Work: Take care in writing up your solutions for the homework assignments and exams. If critical steps in the solution of a problem are missing, expect to lose points. In general, be sure to show your work. All written solutions must be clear, concise and correct. Even if your solution is correct, expect to lose points if it is difficult to read and understand. This includes solutions that are confused, incomprehensible, unnecessarily complicated, verbose, illegible or incomplete. g. Honor Code: It is expected that students are familiar with and will comply with the terms of the University's Academic Honor Code. I will neither give nor receive unauthorized aid, nor will I tolerate an environment which condones the use of unauthorized aid. Note that collaboration on homework is allowed and encouraged, but the work submitted should be your own. Giving or receiving help of any kind on exams is strictly prohibited. h. Accessibility: Please let me know immediately if you have a learning or physical disability requiring accommodation. For more information, contact the Office of Counseling and Health Education at 488-2663.
Tentative Course Outline Chapter 0 Fundamentals (0.1-0.5) Chapter 1 Solving Equations (1.1-1.5) Chapter 2 Systems of Equations (2.1-2.5) Chapter 3 Interpolation (3.1-3.4) Chapter 4 Least Squares (4.1) Chapter 5 Numerical Differentiation and Integration (5.1-5.3) Chapter 6 Ordinary Differential Equations (6.1-6.2)
Have a great semester!
