60 Text Pages:Layout 8
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Chemistry Olympiad
Support Booklet
written by
Phil Copley
Tim Hersey
Chas McCaw
Rob Paton
Kathryn Scott
Andrew Worrall
Peter Wothers
I
U
Ch
K
O
60 Text Pages:Layout 8
10/10/08
17:31
Page 2
Chemistry Olympiad Su
C
L
3
6
Cambridge Chemistry Challenge Lower 6th
June 2015
Marking scheme for teachers
(please also read the additional instructions)
p4
p5
p6
p7
Total
16 12 13
6
10
3
60
p2
mark
p3
Page 1
1(a)
(i)
from mercury(II) oxide:
2HgO
(ii)
leave
blank
equations (u
CALCULUS II:
Multi-variable Calculus
Lecture notes and Workbook for 4CCM112A
Dr Sakura Schafer-Nameki
Kings College London
Based on lecture notes by
G.M.T. Watts, F.A. Rogers and S.G. Scott
December 31, 2015
2
CONTENTS
3
Contents
1 Introduction
1.1
Course
MATH6401: Problem Sheet 4
In this problem sheet you may assume:
X
rn1 converges for |r| < 1 and diverges for |r| 1;
n=1
X
1
converges for p > 1 and diverges for 0 < p 1.
p
n
n=1
1. Use the comparison test to determine whether the following series converge
Kings College London
University Of London
This paper is part of an examination of the College counting towards the award of a degree.
Examinations are governed by the College Regulations under the authority of the Academic
Board.
ATTACH this paper to your
Revision notes
Calculus I
1. Proof by Induction:
If we prove:
Then, by induction, the statement is true for all
(a) = basis
(b) = induction step
It is useful to define
N
when proving a statement
2. Complex Numbers:
,
,
,
,
,
If is a root of a polynomial,