Instructor: Dr. Bartosz Protas
Office: HH 326, Ext. 24116
Office hours:2:30-3:20pm on Monday & Thursday, or by appointment
Teaching Assistant: Athinthra Krishnaswamy Sethurajan
Announcements:
- Solutions and results of Homework Assignment #5 are already posted --- see links on the left.Information about the Final Exam:
- The exam will take place at 9:00am on Thursday, April 20; information about the location will be provided by Registrar's Office.Outline of the Course:
In this course we will study key questions of numerical analysis such as approximation of functions and approximate differentiation and integration. We will see how various problems arising in calculus (both in single and in multiple variables) can be solved approximately, but with controlled accuracy, using computer algorithm. In addition to proving theorems about various numerical methods, we will develop, analyze and implement actual computational algorithms using MATLAB. We will also show how computational techniques can be used to illustrate and verify different results of mathematical analysis. As a highlight of the course, we will introduce Chebfun which is a MATLAB toolbox for performing hybrid numerical-symbolic computations with very high accuracy.Topics: [the actual order may be different; characters in brackets represent the reference ("I" means that the material will be provided by the instructor]
Primary Reference:
Supplemental Reference:
Software:
All computational examples will be presented using MATLAB and Chebfun. While MATLAB is available on the computers in most of the computer labs on the campus, students are encouraged to purchase The Student Edition of MATLAB to be able to work with MATLAB at home. Chebfun can be downloaded free of charge from https://www.chebfun.org/download/.Prerequisites:
Advanced Calculus (MATH 2A03 or 2X03) and Introduction to Numerical Analysis (MATH 2T03).Assignments:
Five homework assignments will be posted on the course website on the dates indicated in the table below. The assignments will be due by midnight on Thursday the following week. Solutions of the assignments should be submitted by e-mail to math3q03_AT_math_DOT_mcmaster_DOT_ca using the template provided. Late submissions will not be accepted. Only four best assignments are counted towards the final mark. The assignments and solutions will be posted on the course webpage.Homework Post & Due Dates (tentative):
# |
Post Date |
Due Date |
HW 1 |
January 19 |
January 26 |
HW 2 |
February 9 |
February 16 |
HW 3 |
March 2 |
March 9 |
HW 4 |
March 16 |
March 23 |
HW 5 |
March 30 |
April 6 |
Mid-Term Tests:
There will be two in-class tests planned tentatively on February 2 and March 16. They will last 50 minutes and will cover analytical issues only (no programming). Only the McMaster standard calculator Casio fx-991 will be allowed during the tests.Final Exam:
The course will be completed by a 2.5 hour final examination. The date and location of the final exam will be announced by the Registrar's office in mid-term. The exam will cover all course material.Marking Scheme:
Relief for Missed Work:
In the event of an absence for medical or other reasons, students should review and follow the Academic Regulation in the Undergraduate Calendar Requests for Relief for Missed Academic Term Work. Please note these regulations have changed beginning Fall 2015.Academic Integrity:
You are expected to exhibit honesty and use ethical behaviour in all aspects of the learning process. Academic credentials you earn are rooted in principles of honesty and academic integrity.Important Notice:
The instructor and university reserve the right to modify elements of the course during the term. The university may change the dates and deadlines for any or all courses in extreme circumstances. If either type of modification becomes necessary, reasonable notice and communication with the students will be given with explanation and the opportunity to comment on changes. It is the responsibility of the student to check their McMaster email and course websites weekly during the term and to note any changes.