18.085 - Computational Science And Engineering (Summer 2011)

Department of Mathematics
Massachusetts Institute of Technology

Who, when and where


Class time and place : MWF 9:30-11:00AM, 2-132
Instructor: Dorian Croitoru (first 5 weeks)
Office hours: MW 3-4pm, in Room 2-233, or by appointment.   E-mail: dorian at mit dot edu

Course Materials


Textbook: Gilbert Strang, Computational Science and Engineering , Wellesley-Cambridge Press, 2007. The book should be available for reserve in Hayden Library, or can be purchased from The Coop , or online.
MIT OpenCourseware: ocw.mit.edu This website has video lectures by Prof. Strang, as well as past years' exams, Matlab tutorials, etc.

Course Summary:

The class presents and ties together important notions of computational mathematics for scientists and engineers. It sheds a second light on linear algebra and differential equations. The focus is not on any particular application - many will be covered from mechanical to electrical systems, graphs, networks, etc. - but rather on the common mathematical framework that underlies most of them. Both modeling and computation will be covered. The class is suitable for master students, advanced undergraduates, or anyone interested in building a foundation in CSE. We will be following the textbook closely.
This course will essentially cover the first 4 Chapters of the textbook.

Homeworks

There will be roughly 8 problem sets in this course, normally due on Fridays. You are encouraged to discuss problems with each other, but each student must submit his/her own work. Some problems will involve Matlab computations. Matlab is available on all Athena computers.
Homework 1, due Monday, June 13: Section 1.1: 5, 12, 26, Section 1.2: 7, 14, 18, Section 1.3: 8, 10 Solutions
Homework 2, due Monday, June 20: Section 1.4: 6, 7, 8, 12 Section 1.5: 2, 12, 23, 25 Section 1.6: 9, 13 Solutions
Homework 3, due Wednesday, June 29: Section 1.6: 28 Section 1.7: 18, 20 Section 2.1: 5, 6, 7 Section 2.2: 5(a), 6, 8 Solutions
Homework 4, due Friday, July 8: Section 2.3: 7, 10, 12 Section 2.4: 5, 6, 7, 9, 13, 17, 18 Solutions
Homework 5, due Monday, July 18: Section 2.7: 3, 4, 5, 6, 9 Section 3.1: 3, 5 or 8, 10, 12, 14

Exams:

There will be 3 quizzes, during class time. Quizzes are open book.
Quiz 1 Solutions

Grading:

Homeworks - 40%, Quizzes - 60%.