The Lee Kong Chian School of Business: Academic Year 2011 /12 Term 2 QF 203 Real Analysis
The Lee Kong Chian School of Business: Academic Year 2011 /12 Term 2 QF 203 Real Analysis
The Lee Kong Chian School of Business: Academic Year 2011 /12 Term 2 QF 203 Real Analysis
COURSE DESCRIPTION
This course covers foundational mathematical concepts and the basics of differential and integral calculus.
Specifically, the notions of numbers, sets, functions, sequences, limits and continuity are explained. These
notions then form the bases for the lectures on the differential and integral calculus.
LEARNING OBJECTIVES
At the end of the course, students will be able to:
Use techniques and theorems from calculus to solve basic problems, such as optimization and
functional approximation, in quantitative finance.
Use the concepts taught to read, appreciate and understand foundational quantitative finance
literature.
Use the concepts taught for the connecting course QF303 Stochastic Calculus and Finance
Theory.
Do note that if this course has a co-requisite, it means that the course has to be taken together with
another course. Dropping one course during BOSS bidding would result in both courses being dropped at
the same time.
Assessment Methods
Students will be assessed through two take-home term-tests (2x25%) and a final exam (40%). Class
participation counts for 10%.
Academic Integrity
All acts of academic dishonesty (including, but not limited to, plagiarism, cheating, fabrication, facilitation
of acts of academic dishonesty by others, unauthorized possession of exam questions, or tampering with
the academic work of other students) are serious offences.
All work presented in class must be the student’s own work. Any student caught violating this policy may
result in the student receiving zero marks for the component assessment or a fail grade for the
course. This policy applies to all works (whether oral or written) submitted for purposes of assessment.
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Where in doubt, students are encouraged to consult the instructors of the course. Details on the SMU
Code of Academic Integrity may be accessed at http://www.smuscd.org/resources.html.
Exercises
Exercises that accompany each lecture give students opportunities to practise on the concepts taught in
class.
Term-Tests
Through two take-home term-tests, students can assess for themselves if they have learnt the concepts
well.
Examination
There will be a final exam which will focus on the materials covered in class. No make-up exams will be
allowed without prior permission.
CONSULTATIONS
Two hours of office consultation are available each week. Email questions are welcomed at any time.
CLASS TIMINGS
This course will be taught in one 3-hour session.
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WEEKLY LESSON PLANS
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33 The Intuition Behind and How to Apply the
Change-of-Variables Formula
Change-of-Variables Formula
34 Pre-Examination Week
35 Final Examination