Matematik och Datavetenskap, Chalmers Tekniska Högskola och Göteborgs Universitet

ALA-B, 2005, week 1

Goal: Understand the Fundamental Theorem of Calculus and its proof. Learn the basic properties of the integral. Write a Matlab program for Newton's method for systems of equations.

Reading: AMBS Chapter 27 and Chapter 28.

Exercise 1.1
basic 27: 1, 2, 3, 8, 9, 10
advanced 27: 5, 6, 11, 12
demo 27: 1c, 8b, 9b

Exercise 1.2
basic 28: 1, 2, 3, 4, 5, 6, 14
advanced 28: 11, 13, 15, 16, 17, 18
demo 28: 1b, 2b, 4b

Answers to AMBS problems  (postscript).  Corrections AMBS problems, ch 31.  Corrections AMBS problems, ch 32. 

David's tutorial 1.

Lecture 1.1: The Fundamental Theorem of Calculus. Lecture 1.1

Studio 1.1: Newton's Method for Systems of Equations
Lecture notes: 90. Linearization and Newton's method. (ps)

Lecture 1.2: Properties of the integral. Lecture 1.2

Studio 1.2: The integral.

/stig