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The MLC gave a seminar in 2013 about maths notation, which ought to be helpful for revising or learning maths notation. Video and handouts are at the following page.

• Maths notation seminar page

In this course, it is important to know what shape various functions are, simply from looking at their formulas. The following mini-textbooksÌý are about various types of functions and contain explanations and practice exercises.

• Numbers and functions (PDF notes)Ìý
• Linear functions (PDF notes)
• Quadratic functions (PDF notes)Ìý
• Rational functions (PDF notes)
• Exponential functions (PDF notes)Ìý
• Logarithmic functions (PDF notes)Ìý
• Polynomial functions (PDF notes)Ìý

This revision seminar was given to students in a different course called Intro to Financial maths, and it began with a section on quadratic functions, including the various forms to write them and how to find solutions.

The following lecture was given for students in the MathTrackÌýbridging course, and it gives a lot of information about how polynomial functions work.

This revision seminar given to students in Maths for Information Technology in 2012. David discussed counting techniques such as combinations, permutations, allocations etc.

This revision seminar given to students in Mathematical Economics I in 2019 had a sectionÌý(starts at 1h38m) on permutations and combinations:

This revision seminar was given to students in Maths 1A in 2016 and discusses how to read and manipulate sum notation:

This revision seminar given to Mathematical Economics I students in 2019 had a section on sequences and series (starts at 52m9s):

This revision seminar was given forÌýstudents ofÌýMaths for Information Technology in 2018 and had a section about mathematical induction (starts at 1h8m).

This revision seminar was given forÌýstudents ofÌýMaths IM in 2015, and it covered mathematical induction.

This revision seminar was given for students ofÌýMathematical Economics I in 2019 and ended with an example of a mathematical induction (starting atÌý1h51m26s).

Several lectures from the old MLC Maths Methods bridging course in 2019 will be useful for vectors and matrices in Math Econ I. They cover matrix operations and inverses, vectors and operations on them, and linear equations including row operations.

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This revision seminar was given for students in Maths IM in 2014 and covered matrices and linear equations. In particular, the first part covered the sizes of matrices, matrix addition, multiplication and powers, and transposes.Ìý

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This seminar was given for students in Maths IA in Sem 1 2017 and it beganÌýwith a section on linear dependence.

This seminar was given for students in Maths IA in 2014 and covers all of the concepts to do with independence, span, subspaces and basis, beginning with what vectors and sets are. (David considers this one of his best revision seminars ever.)

In Semester 1 2014, David gave a revision seminarÌýon differentiation to students in Intro Math Econ I.ÌýDavid discussed functions, differentiation, partial differentiation and lagrange multipliers.Ìý

In Semester 1 2021, David gave a revision seminar to students in Intro Math Econ I about differentiation and using it to find maximums of both one-variable functions and several-variable functions.

The following resources were created for the MLC bridging course MathsTrack, and might be helpful for understanding derivatives and maximisation of one-variable functions. (Some of the presentation might be quite different than in your course though.)

• Differentiation textbook (PDF)

• Applications of Differentiation textbook (PDF)

• Exponential and Logarithm Functions textbook (PDF)

This revision seminar was given to students in Mathematical Economics I in 2015 and it concerns limits and sign diagrams.

This revision seminar was given to students in Mathematical Economics I in 2019 and started with a section on sign diagrams.

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.

This revision seminar was given to students of Maths IB and AQMFÌýin 2012. It covers domains, ranges, partial derivatives, maxima and minima in multivariable calculus.

This revision seminar was given to students of the ³ÉÈË´óƬ course Mathematical Economics I in Semester 2 2021. David discussed the whole topic of integration, describing how he makes the decision of which technique to use and giving lots of examples of doing integrals.

The following resources were created for the MLC bridging course MathsTrack, and might be helpful for understanding integration. (Some of the presentation might be quite different than in your course though.)

• Integration textbook (PDF)

This revision seminar was given to students in Mathematical Economics I in 2015. It coveredÌýthe basic formulas for integrals, substitution and integration by parts.

Over the years, the MLC has given several revision seminars to students in this course where requests were taken from the students for what to talk about. They are listed here with the newest seminars at the top. Only a few have the document camera notes available.

2024

Nicholas discussed: Proof by induction (at the start), Continuous functions (at 35m35s), Integration (at 47m23s), Implicit differentiation (1h14m20s), Multivariable chain rule (1h23m10s).

2023

Nicholas discussed various problems from across the course including solving systems of equations, matrix algebra proofs, set operations, linear independence, basis and partial derivatives.

2022

David discussed integrals, both definite and indefinite, and the techniques of doing them.

2021

All techniques of integratiion.

2020

Integration, induction, counting and function inverses.

2019

Sign diagrams, curve sketching, sequences and series, and combinatorics.

2015

Basic formulas for integrals, substitution and integration by parts.

Limits and sign diagrams.

2014

Functions, differentiation, partial differentiation and lagrange multipliers.Ìý