Department of Mathematics & Applied Mathematics
MAM1000W Resource Book
1st Semester
Dr Jonathan Shock
Department of Mathematics & Applied Mathematics
University of Cape Town
Rondebosch 7701
South Afri
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Test 1
10 April 2017
Time : 17h30 19h30
Full marks: 80
This question paper consists of 14 pages (inc
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Test 1
10 April 2017
Time : 17h30 19h30
Full marks: 80
This question paper consists of 10 pages (inc
Tutorial Problems 4
Part I
1. For each of the following statements, say whether it is true or false:
a) If f and g are linear functions, f g is linear.
b) If f and g are quadratic functions, f g is a
Tutorial Problems 3
Part I
1. Which of the following represents a function on finite sets, do this quick but make sure you know
why. Specify the domain and range of that function.
a)
b)
c)
2. Suppose
Tutorial Problems 2
Part I
1. For each of the statements below, decide whether it is true or false. Do this quickly, but make
sure you have a reason for your answer.
a) Forpevery real number a,
p
p
p
Tutorial Problems 1
Each week, the problem sets will be based on what you did in class the week before. This week is a
bit dierent, as there was no week before at least in MAM1000W time. So, we are go
University of Cape Town
University Examinations November 2010
Department of Mathematics and Applied Mathematics
MAMZOOOW, 2002s, 2004H
Module 2RA : Real Analysis
Time : 2 hours Full Marks: 70
You may
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM2000W: 2LA (Linear Algebra)
Test 2
19 April 2016
Time : 2 hours
Full marks: 60
This question paper consist
University of Cape Town
University Examinations November 2009
Department of Mathematics and Applied Mathematics
MAM2000W, 2002S, 2004H
Module 2RA : Real Analysis
Time : 2 hours
Full Marks: 67
Marks av
Department of Mathematics and Applied Mathematics
MAM200W Real Analysis
MOCK EXAM October/November 2005
Time: 2 hours
Marks: 61
Note: Should you want to obtain access to your exam scrip(s), please
ref
Department of Mathematics and Applied Mathematics
Module 2LA: Linear Algebra, Class Test 2
29 April 2010, 18h00-19h30
This test consists of 12 questions. All questions should be answered on the answer
Department of Mathematics and Applied Mathematics
Module 2LA: Linear Algebra, Test 2
12 May 2011, 18h00-19h15
Questions and model solutions
Prove that cfw_(1, 1, 1), (0, 1, 1), (0, 0, 1) is a basis f
2LA practice questions
The following are additional practice problems to help you prepare for the exam. You should
bear the following points in mind:
1. These are practice problems, not practice solut
University of Cape Town
University Examinations November 2009
Department of Mathematics and Applied Mathematics
MAM2000W, 2002S, 2004H
Module 2RLA : Real Analysis
Solutions
Section A
1. (a)
9
4
(b)
1
Department of Mathematics and Applied Mathematics
Module 2LA: Linear Algebra, Mock Test, March 2011
Possible Solutions
1. (a) If v R then f (v) = (v) = v so f is onto.
(b) Note that f (1, 1) = 1 1 = 0
Notes compiled by Mr Ruan Moolman, Dept. Mathematics and Applied Mathematics, University of Cape
Town. Sources used: Precalculus with limits, 2nd ed., R Larson & D Falvo; Precalculus, 7 ed., J Stewart
Notes compiled by Mr Ruan Moolman, Dept. Mathematics and Applied Mathematics, University of Cape
Town. Sources used: Precalculus with limits, 2nd ed., R Larson & D Falvo; Precalculus, 7 ed., J Stewart
Student Number:
Surname:
First Name(s):
Department of Mathematics and Applied Mathematics
MAM1000W
Test 5
November 2017
Time : 2 hours
Full marks: 78
This question paper consists of 15 pages (includi