Applications of Quantitative Methods in Finance
Resources for Applications of Quantitative Methods in Finance (AQMF) - for more information about the course, please see course outlines.
Study skills
You may be interested in the MLC's seminars on doing a maths exam and writing and using a cheat sheet.
Assumed knowledge
This course follows on from Introduction to Financial Mathematics I, and it is a good idea to revise the skills learned in that course.
The MLC resources for Introduction to Financial Maths I are on this webpage. They will help you revise the content from the previous course.
Revision seminars in order of time
In most years, the MLC gives a revision seminar for AQMF before the exam. Below are the revision seminars that have been given in the past for this course.
2024
This revision seminar was given for students of AQMF in Semester 2 2024. Nicholas discussed the following things: Bayes' formula (at 2m28s), Multivariable calculus (at 29m23s), Sum notation and upper/lower sums (at 1h9m48s), Techniques of integration (at 1h28m39s).
- VIDEO (YouTube): AQMF revision seminar: miscellaneous topics 2024
- PDF: AQMF revision seminar notes: miscellaneous topics 2024
2023
This revision seminar was given for students of AQMF in Semester 2 2023. Nicholas discussed various problems including Lagrange multipliers, conditional probability, derivatives by first principles, producer/consumer surplus, discrete probability distributions.
- VIDEO (YouTube): AQMF revision seminar: miscellaneous problems 2023
- PDF: AQMF revision seminar notes: miscellaneous problems 2023
2022
This revision seminar was given for students in AQMF in Semester 2 2022. David talked about many things, but only the first 15 minutes of the seminar got recorded, which contains an example of finding critical points of a polynomial function. The document camera notes from all the topics discussed are available though.
- VIDEO (YouTube): AQMF revision seminar: critical points 2022
- PDF: revision seminar notes: critical points 2022
- PDF: revision seminar notes: curve from differential equation 2022
- PDF: revision seminar notes: integration by parts 2022
2019
This revision seminar was given to students in AQMF in Semester 2 2019. David discussed implicit differentiation (at the beginning), and differential equations (38m30s).
- VIDEO (YouTube): AQMF revision seminar: implicit differentiation and differential equations 2019
- PDF: revision seminar notes: implicit differentiation 2019
- PDF: revision seminar notes: differential equations 2019
2018
This revision seminar was given to students of AQMF in 2018. Nicholas covered miscellaneous topics from the course including probability (at the start), markov chains (42m45s), income streams (1h31m8s), tricky derivatives (1h51m58s), integration by parts (2h1m30s), and normal distributions (2h11m20s).
- VIDEO (YouTube): AQMF revision seminar: various topics 2018
- PDF: revision seminar notes: probability 2018
- PDF: revision seminar notes: markov chains 2018
- PDF: revision seminar notes: miscellaneous topics 2018
2015
This revision seminar was given to students of the AQMF in 2015. Nicholas gave several examples of upper sums and also the trapezoidal rule.
- VIDEO (YouTube): AQMF revision seminar: upper and lower sums and the trapezoidal rule 2015
- PDF: revision seminar notes: upper and lower sums and the trapezoidal rule 2015
This revision seminar was given to students of AQMF in 2015. Nicholas gave some worked examples of Markov Chain problems.
- VIDEO (YouTube): AQMF revision seminar: Markov chains 2015
- PDF: revision seminar notes: Markov chains 2015
This revision seminar was given to students of AQMF in 2015. Nicholas answered questions about differential equations, in particular about separable equations and particular vs general solutions.
- VIDEO (YouTube): AQMF revision seminar: differential equations 2015
- PDF: revision seminar notes: differential equations 2015
2014
This revision seminar was given to students of AQMF in 2014. Nicholas talked about the rules for calculating and rearranging with sum notation.
- VIDEO (YouTube): AQMF revision seminar: sum notation 2014
- PDF: revision seminar notes: sum notation 2014
This revision seminar was given to students of AQMF in 2014. Nicholas gave a short revision seminar on just the binomial distribution and the normal approximation to it.
- VIDEO (YouTube): AQMF revision seminar: binomial distribution 2014
- PDF: revision seminar notes: binomial distribution 2014
2013
This revision seminar was given to students of AQMF in 2013. David covered the idea of two-variable functions, their derivatives and an example of using Lagrange multipliers.
- VIDEO (YouTube): AQMF revision seminar: two-variable calculus 2013
- PDF: revision seminar notes: two-variable calculus 2013
This revision seminar was given to students of the AQMF in 2013. David discussed details of how Markov Chains work including finding steady state vectors, and then summarised the whole topic.
- VIDEO (YouTube): AQMF revision seminar: Markov chains 2013
- PDF: revision seminar notes: Markiv chains 2013
2012
This revision seminar was given to students of AQMF in 2012. It covered various integration techniques including the basic formulas, substitution and integration by parts.
- VIDEO (YouTube): AQMF revision seminar: integration techniques 2012
- PDF: revision seminar notes: integration techniques 2012
This revision seminar was given to students of AQMF in 2012. David discussed implicit differentiation, and differential equations.
- VIDEO (YouTube): AQMF revision seminar: implicit differentiation and differential equations 2012
- PDF: revision seminar notes: implicit differentiation and differential equations 2012
This revision seminar was given to students of both Maths 1A and AQMF in 2012. It covers calculating integrals using upper and lower sums.
- VIDEO (YouTube): Maths 1A/AQMF revision seminar: upper and lower sums 2012
- PDF: revision seminar notes: upper and lower sums 2012
This revision seminar was given to students of Maths IB and AQMF in 2012. It covers domains, ranges, partial derivatives, maxima and minima in multivariable calculus.
- VIDEO (YouTube): Maths 1B/AQMF revision seminar: multivariable calculus 2012
- PDF: revision seminar notes: multivariable calculus 2012
This revision seminar was given to students of AQMF in 2012. David covered discrete distributions, the binomial distribution, the normal distribution, expected values and variance.