Exercise set 1
Professor Alan Huckleberry
In the following we let
N := cfw_0, 1, 2, . . . .
Exercise 1. Let F : N N be defined by the graph
:= cfw_(x, y) N N : y = 10x .
Show that F is injective but not surjective.
Exercise 2. Regard
ESM1A: Course Notes
These are notes of the course ESM1A Single Variable Calculus from Fall 2006.
Additional material, illustrations, references to the recommended textbook by
Edwards, Penney, Calculus, 6th edition (referred to
Jacobs University, Bremen School of Engineering and Science Prof. Dr. Lars Linsen, Orif Ibrogimov
Spring Term 2010 Homework 1
120202: ESM4a - Numerical Methods
Homework Problems 1.1. Let f (x) =
1+x+x2 . 1-x+x2
(a) Derive the Taylor expansion of the funct