Jacobs University Bremen
Keivan Mallahi-Karai
Due: January 28, 2017
Assignment 2
Foundations of Linear Algebra I
Note: Solve only five of the following seven problems.
(2.1) Use Gaussian elimination to find the inverse
0
1 2
B0 2
B
A=@
0 0
0 0
Solution. W
Jacobs University Bremen
Keivan Mallahi-Karai
Due: March 8, 2017
Assignment 3
Foundations of Linear Algebra I
(3.1) Find a basis for each one of the subspaces C(A) and N (A) for the matrices A below and
determine0their dimension:
1
1 2 3
(a) A = @2 4 6A
0
Jacobs University Bremen
Keivan Mallahi-Karai
Due: January 15, 2017
Assignment 1
Foundations of Linear Algebra I
Note: Solve only five of the following six problems.
(1.1) Consider the planes P1 , P2 in R3 defined by the equations
P1 : x
2ay + bz = 1 + b
General Mathematics
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
P. Oswald
Fall 2007
Abstract
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