SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 12
Probability
08-04-2016
Probability
Probability theory arose from the study of
games of chance because of a gambler.
The mathematical foundations of statistics were
laid in the 17th century with
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 18
Hypotheses Testing
29-04-2016
Karl Pearson
Karl Pearson (18571936) an English
Mathematician, was a
pioneer in the
development of
Mathematical Statistics
He founded the worlds
first University
SCNC1111
Scientific Method and Reasoning
Part 2 a
Lecture 9
Fractals
18th March, 2016
Dr. Tsing Nam-Kiu
Shapes of Objects in Nature
Source: Wikimedia Commons
Source: beliefnet.com
Source: Smithsonian Institute
The Earth
Bee hive
Salt crystal
sphere
hexago
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 19
Discussion
29-04-2016
Group Project Submission
Each group should submit ONE soft-copy and
ONE hard-copy of your essay. The soft-copy
should be submitted via the link
http:/moodle.hku.hk/mod/tu
SCNC1111
Scientific Method and Reasoning
Part 2 a
Lecture 9
Differential Equations
1st Mar, 2016
Dr. Rachel Lui
Exponential function
= 2
Exponent
1
2
3
4
0
1
2
0.5
2
4
8
16
1
1
2
1
4
1
8
1
2
Characteristics of this function?
1. When x>0?
2. When x<0?
3.
What is a difference equation?
Denition
Let 1 , 2 , 3 , be a sequence of numbers. A
recurrence relation or dierence equation is an
equation in which each further term is dened as a
function of the preceding terms.
Examples
= 1 + 2 (Fibonacci)
+1 = 0.5
SCNC1111
Scientific Method and Reasoning
Part II a: Quantitative Reasoning: Mathematics
Lecture 6b
Difference Equations
26th February, 2016
Dr. Rachel Lui
Rules
Form at most a group of 3 students.
Work on the questions together.
I will call the name of a
SCNC1111
Scientific Method and Reasoning
Lecture 1
The Scientific Method
2016-01-22
Dr. William M.Y. Cheung
1
Reminders!
Check SIS (Have you successfully enrolled in this course?).
Register your tutorial session on Moodle.
Keep an eye on any vacancies!
SCNC1111
Scientific Method and Reasoning
Lecture 2
What Are Good Theories?
2016-01-26
Dr. William M.Y. Cheung
1
Reminders!
Tutorial starts next week.
Read the 3 assigned articles, and complete the exercise on
Moodle by 16:55, 1st February (Monday), 2016
SCNC 1112 Fundamentals of Modern Science
Week Lecture Lecture Lecturer
No
Hours
date
Spring 2014 lecture and tutorial plan
Tutorial Contents / Key concepts
Part 1: Universal principles and unifying concepts of
science (4 lectures)
Introductory lecture
Cha
SCNC1112 Fundamentals
of Modern Science
2013-14 Semester 2
Tutorial 1
Please answer the following questions:
1. Have you read the outline for the entire course from the
course moodle page? (yes / no)
2. According to your 1st semester experience in HKU sci
SCNC1112
Fundamentals of
Modern Science
2013-14 Semester 2
Tutorial 3
Homework from Last Tutorial
What are the key contribution(s) of the assigned pair in your
group, and the academic relationship therein?
Group No.
1
2
3
4
5
Pair assigned
James Watson &
SCNC1112
Fundamentals of
Modern Science
2013-14 Semester 2
Tutorial 2
Assignment 2, Question 1
After reading the Scientific American article on 10
Unsolved Mysteries in Chemistry (October 2011), please
answer the following: Which one of the unsolved myste
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 18
Decision Making & Hypotheses Testing
2013-11-29
Statistical Inference
In practice, instead of estimating the
parameter of interest, we would like to
answer questions like:
Is the new treatment
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 17
Prediction
2013-11-26
Prediction from The hand of power
The tell-tale lines that reveal Obamas complex personality
By LAURA MOSS 16 January 2009 Daily Mail
Mr Obama's hand (left) has extraordina
SCNC1111
Scientific Method and Reasoning
Part 2 a
Lecture 11
From Chaos
To Fractals
2013 11 05
Dr. William M.Y. Cheung
Previously on Chaos
Some defining characteristics of Chaos
high sensitivity to initial conditions
being deterministic
Examples of ch
‘THE UNIVERSITY OF HONG KONG
FACULTY or SCIENCE
SCNCllll SCIENTIFIC METHOD 85 REASONING
December 31, 2012 _ Time: 9:30 a.m. - 11:30 am.
Only approved calculators as annoanced by the Examinations Secretary can be used in
this erarnination. It is candidates
THE UNIVERSITY OF HONG KONG
FACULTY OF SCIENCE
SCNCllll SCIENTIFIC METHOD 85 REASONING
May 14, 2013 Time: 9:30 a.rn. — 11:30 a.rn.
Only approved calculators as announced by the Examinations Secretary can be used in
this examination. It is candidates’ resp
SCNC1111
Scientific Method and Reasoning
Part 2 a
Lecture 8
Calculus
11-10-2013
22-10-2013
Dr. Rachel Lui
Surely Youre Joking, Mr. Feynman!
Released in 1985
Title: Cream or Lemon in his tea
His fascination with Safe-cracking
Studied various languages
Vent
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 15
Statistics and Its Applications
2013-11-19
Tumblers Problem
Suppose you have two identical tumblers before you, one filled within an
inch of its top with liquid A, the other filled with an iden
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 14
Probability
2013-11-15
Conditional Probability
The conditional probability of an event , given
that an event has occurred is equal to
=
()
provided that () > 0.
Example 9
(Clinical Trial) In
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 16
Statistical Inference
2013-11-22
Normal Distribution
From 1989 through 2001, Gauss's portrait and a normal
distribution curve were featured on the German ten-mark
banknote.
Normal Distribution
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 13
Probability and Statistics
2013-11-12
Probability
Definition 1: A random experiment is a
process leading to at least two possible
outcomes with uncertainty as to which will
occur.
Examples are:
SCNC1111
Scientific Method and Reasoning
Part IIb
Lecture 12
Probability and Statistics
2013 11 - 08
Eddy Lam
Department of Statistics and Actuarial Science
What is statistics?
The term statistics is ultimately derived from the New
Latin statisticum co
SCNC1111
Scientific Method and Reasoning
Part 2 a
Lecture 10
Chaos Theory
2013 11 01
Dr. William M.Y. Cheung
What is Chaos?
What does chaos mean in an objective and scientific
sense?
2
What is Chaos?
Butterfly effect
Why are they connected?
What does t