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Description
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TMA2103
Probability And Statistics
2018/2019, Semester 1
School of Continuing & Lifelong Edn (School of Continuing & Lifelong Edn)
Modular Credits: 4
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First Meeting
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Our first meeting will be on 15 Aug, Wednesday from 1830 - 2000 hours at S16-05-98.
Aims & Objectives
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This module teaches students some fundamental concepts of probability, such as how to calculate the probability A will happen given the knowledge that B has also happened, what random variables are and what it means for them to be dependent or independent of each other. Students will learn some common probability distributions, how to estimate properties of a population that is only partially sampled and how to evaluate hypotheses about that population, under the assumption that the characteristic being measured follows a Normal/Gaussian distribution.
Syllabus
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Basic concepts of probability, conditional probability, independence, random variables, joint and marginal distributions, mean and variance, some common probability distributions, sampling distributions, estimation and hypothesis testing based on a normal population.
Lecturer
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Dr David Chew
Office: S16-06-108, Tel: 6516-5239
email: david.chew@nus.edu.sg
Please indicate the subject TMA2103 when you email me.
Teaching Modes
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We will adopt a
``blended learning``
model for our classes.
The blended learning model employs a mixture of (1) on-line video lectures and (2) off-line "live" discussions to deliver course content, which is more effective than a fully "flipped-class" where course content are delivered solely via online videos.
Concerning Lectures
Most course contents will be delivered online via video lectures so students are expected to watch the video lectures before coming in for the "live" discussions/tutorial classes.
We gather on the following dates for "live" discussions/tutorial classes:
15 Aug, 29 Aug, 12 Sep, 03 Oct, 24 Oct, 07 Nov
We then meet on
14 Nov
for a revision lecture to wrap up the course.
A word about PeerQuestions
Students may ask questions via the PeerQuestions system whenever we meet for "live" lectures. To do so, SMS your messages to the number
76767
in the format
code message
.
I will use the code
TMA2103
throughout the semester. For example, to ask ``
Why U So Like Dat?
", simply SMS
TMA2103 Why U So Like Dat?
to the number
76767
.
Alternatively, you may post your questions via
https://peerq.nus.edu.sg/post.aspx
Concerning Tutorials
We hope to give some time during tutorials for group discussions so we will divide each tutorial class into several discussion groups. After the group discussions, one student from each group will then be asked to present a summary of their discussions to the whole class.
Assessment
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Your final grade for the course will depend on
tutorial participation (
5%
)
in-class work (
5%
)
FIVE online quizzes (
10%
)
ONE 1-hour mid-semester examination (
20%
)
--- multiple choice questions and short questions, on
10 Oct 2018, Wednesday from 1900-2000hrs
.
ONE 2-hour final examination (
60%
)
--- open ended questions, on
28 Nov 2018, Wednesday from 0900-1100hrs
.
Both the mid-semester and final examinations are
closed book
but students will be allowed to bring along
ONE A4 size help-sheet
.
You will note the low weightage given to the online quizzes and tutorial participation components. This is deliberate as the purposes of these components are to encourage you
to
keep up
with the lecture progress (online quizzes), and
to
be enagaged
in discussions during classes (tutorial participation).
Getting Help
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Ask your fellow students on the
IVLE forum
.
E-mail
me your question with the subject [TMA2103].
The replies might be published on the
IVLE module FAQ
so that everyone can read them.
Ask
me questions during lecture breaks or at the end of lectures.
Make an appointment
to meet me.
Finally, one important study tip from Sir Ian McKellen ---
https://youtu.be/YZf0Q-v3u-k
Readings
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Readings
Chapter 1
[Utts] 1.1 - 1.3
Chapter 2
[Utts] 5.1, 5.3 - 5.5, [De Veaux] 1.2-1.3
Chapter 3
[Utts] 2.1 - 2.5, [De Veaux] 2.1 - 2.2, 3.1 - 3.7
Chapter 4
[Utts] 7.1 - 7.5, [De Veaux] 13.1 - 13.3, 14.1 - 14.5
Chapter 5
[Utts] 8.1 - 8.4, [De Veaux] 15.1 - 15.2, 16.1 - 16.6
Chapter 6
[Utts] 8.5 - 8.8, [De Veaux] 15.3 - 15.4, 16.7
Chapter 7
[Freund] 5.10
Chapter 8
[Utts] 9.1 - 9.3, 9.6, 9.9 - 9.10, [De Veaux] 17.1 - 17.5
Chapter 9
[Utts] 10.1, 10.4, 11.1 - 11.2, 11.5, 12.1, 13.1 - 13.2, 13.5 [De Veaux] 20.1 - 20.5, 21.1 - 21.4
Chapter 10
[Utts] 11.4, 13.3 - 13.4 [De Veaux] 22.4 - 22.7, 23.1 - 23.3
[Utts]
Mind on Statistics
by
Jessica M. Utts, Robert F. Heckard
[De Veaux]
Stats: Data and Models
by
Richard D. Dex Veaux, Paul F. Velleman, David E. Bock
[Freund]
Miller and Freund's Probability and Statistics for Engineers
by
Richard Johnson, John Freund, Irwin Miller