Mathematical Economics I
Resources for Mathematical Economics I - for more information about the course, please see course outlines.
Assumed Knowledge
The following resources are helpful to revise or learn the assumed knowledge to pepare for this course.
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Maths notation
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.
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Graphs and domains of functions
In this course, it is important to know what shape various functions are, simply from looking at their formulas. The following mini-textbooks are about various types of functions and contain explanations and practice exercises.
- Numbers and functions (PDF notes)
- Linear functions (PDF notes)
- Quadratic functions (PDF notes)
- Rational functions (PDF notes)
- Exponential functions (PDF notes)
- Logarithmic functions (PDF notes)
- Polynomial functions (PDF notes)
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.
- Revision seminar section: Quadratic functions, Sem 1 2021 (YouTube)
- Revision seminar section: Quadratic functions, Sem 1 2021 (Echo360)
The following lecture was given for students in the MathTrack bridging course, and it gives a lot of information about how polynomial functions work.
Revision seminars for topics in this course
The MLC has given revision seminars for students in Mathematical Economics I and other courses over the years that you might find useful. Seminars are organised by topic below, but there are even more seminars in the "seminars in order of time" tab at the bottom.
(Note that this course changed its name in 2020. It used to be called "Introduction to Mathematical Economics (Advanced)", but the content is the same. Also note that some methods shown in seminars for other courses may not match exactly the expectations your lecturer has for this course.)
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Combinations and Permutations
This revision seminar given to students in Maths for Information Technology in 2012. David discussed counting techniques such as combinations, permutations, allocations etc.
- Revision seminar: Maths for IT: Counting Techniques 2012 (YouTube)
- Revision seminar: Maths for IT: Counting Techniques 2012 (Echo360)
- Revision seminar notes: Maths for IT: Counting Techniques 2012 (PDF)
This revision seminar given to students in Mathematical Economics I in 2019 had a section (starts at 1h38m) on permutations and combinations:
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Sequences and Series
This revision seminar was given to students in Maths 1A in 2016 and discusses how to read and manipulate sum notation:
- Revision seminar: Maths IA: Sum notation 2016 (YouTube)
- Revision seminar: Maths IA: Sum notation 2016 (Echo360)
- Revision seminar notes: Maths IA: Sum notation 2016 (PDF)
This revision seminar given to Mathematical Economics I students in 2019 had a section on sequences and series (starts at 52m9s):
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Mathematical Induction
This revision seminar was given for students of Maths for Information Technology in 2018 and had a section about mathematical induction (starts at 1h8m).
- Revision seminar section: Maths for IT: Mathematical induction 2018 (YouTube)
- Revision seminar section: Maths for IT: Mathematical induction 2018 (Echo360)
- Revision seminar notes: Maths for IT: Mathematical induction 2018 (PDF)
This revision seminar was given for students of Maths IM in 2015, and it covered mathematical induction.
- Revision seminar: Maths IM: Mathematical induction 2018 (YouTube)
- Revision seminar: Maths IM: Mathematical induction 2018 (Echo360)
- Revision seminar: Maths IM: Mathematical induction 2018 (PDF)
This revision seminar was given for students of Mathematical Economics I in 2019 and ended with an example of a mathematical induction (starting at 1h51m26s).
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Vectors and matrices
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.
- Lecture: MathsTrack: matrix operations (YouTube)
- Lecture: MathsTrack: matrix operations (Echo360)
- Lecture: MathsTrack: matrix inverses (YouTube)
- Lecture: MathsTrack: matrix inverses (Echo360)
- Lecture: MathsTrack: vectors (YouTube)
- Lecture: MathsTrack: vectors (Echo360)
- Lecture: MathsTrack: linear equations (YouTube)
- Lecture: MathsTrack: linear equations (Echo360)
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.
- Revision seminar: Maths IM: matrices and linear equations, 2014 (YouTube)
- Revision seminar: Maths IM: matrices and linear equations, 2014 (Echo360)
- Revision seminar notes: Maths IM: matrices and linear equations, 2014 (PDF)
This seminar was given for students in Maths IA in Sem 1 2017 and it began with a section on linear dependence.
- Revision seminar section: Maths IA: linear dependence, Sem 1 2017 (YouTube)
- Revision seminar section: Maths IA: linear dependence, Sem 1 2017 (Echo360)
- Revision seminar notes: Maths IA: linear dependence, Sem 1 2017 (PDF)
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.)
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Differentiation
In Semester 1 2014, David gave a revision seminar on differentiation to students in Intro Math Econ I. David discussed functions, differentiation, partial differentiation and lagrange multipliers.
- Revision seminar: Intro Math Econ I: Differentiation, Sem 1 2014 (YouTube)
- Revision seminar: Intro Math Econ I: Differentiation, Sem 1 2014 (Echo360)
- Revision seminar notes: Intro Math Econ I: Differentiation Sem 1 2014 (PDF)
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.
- Revision seminar: Intro Math Econ I: Differentiation and maximisation, Sem 1 2021 (YouTube)
- Revision seminar: Intro Math Econ I: Differentiation and maximisation, Sem 1 2021 (Echo360)
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 mini-textbook
- Differentiation lecture Part A: definitions and rules (YouTube)
- Differentiation lecture Part A: definitions and rules (Echo360)
- Desmos graph used in differentiation lecture part A
- Differentiation lecture Part B: tangents (YouTube)
- Differentiation lecture Part B: tangents (Echo360)
- Applications of Differentiation mini-textbook
- Applications of Differentiation lecture Part A: features of graphs (YouTube)
- Applications of Differentiation lecture Part A: features of graphs (Echo360)
- Desmos graph used in applications of differentiation lecture part A
- Applications of Differentiation lecture Part B: graph sketching examples (YouTube)
- Applications of Differentiation lecture Part B: graph sketching examples (Echo360)
- Applications of Differentiation lecture Part C: optimisation problems (YouTube)
- Applications of Differentiation lecture Part C: optimisation problems (Echo360)
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Limits and sign diagrams
This revision seminar was given to students in Mathematical Economics I in 2015 and it concerns limits and sign diagrams.
- Revision seminar: Math Econ I: limits and sign diagrams 2015 (YouTube)
- Revision seminar: Math Econ I: limits and sign diagrams 2015 (Echo360)
- Revision seminar notes: Math Econ I: limits and sign diagrams 2015 (PDF)
This revision seminar was given to students in Mathematical Economics I in 2019 and started with a section on sign diagrams.
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Differentiation for functions of several variables
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.
- Revision seminar: AQMF: two-variable calculus 2013 (YouTube)
- Revision seminar: AQMF: two-variable calculus 2013 (Echo360)
- Revision seminar notes: AQMF: two-variable calculus 2013 (PDF)
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.
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Integration
This revision seminar was given to students of the University of Adelaide 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.
- Revision seminar: Math Econ I: integration 2021 (YouTube)
- Revision seminar: Math Econ I: integration 2021 (Echo360)
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.)
- Topic 9: Integration textbook
- Integration lecture Part A: definitions (YouTube)
- Integration lecture Part A: definitions (Echo360)
- Integration lecture Part B: integration techniques (YouTube)
- Integration lecture Part B: integration techniques (Echo360)
- Integration lecture Part C: problem-solving (YouTube)
- Integration lecture Part C: problem-solving (Echo360)
This revision seminar was given to students in Mathematical Economics I in 2015. It covered the basic formulas for integrals, substitution and integration by parts.
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Revision seminars for Math Econ I in order of time
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.
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.
- Revision seminar: Math Econ I: miscellaneous 2023 (YouTube)
- Revision seminar: Math Econ I: miscellaneous 2023 (Echo360)
- Revision seminar notes: Math Econ I: miscellaneous 2023 (PDF)
2022
David discussed integrals, both definite and indefinite, and the techniques of doing them.
- Revision seminar: Math Econ I: integration 2022 (YouTube)
- Revision seminar: Math Econ I: integration 2022 (Echo360)
- Revision seminar notes: Math Econ I: integration 2022 (PDF)
2021
All techniques of integratiion.
- Revision seminar: Math Econ I: integration 2021 (YouTube)
- Revision seminar: Math Econ I: integration 2021 (Echo360)
2020
Integration, induction, counting and function inverses.
- Revision seminar: Math Econ I: integration, induction, counting and function inverses 2020 (YouTube)
- Revision seminar: Math Econ I: integration, induction, counting and function inverses 2020 (Echo360)
2019
Sign diagrams, curve sketching, sequences and series, and combinatorics.
- Revision seminar: Math Econ I: sign diagrams and curve sketching, sequences and series, combinatorics 2019 (YouTube)
- Revision seminar: Math Econ I: sign diagrams and curve sketching, sequences and series, combinatorics 2019 (Echo360)
2015
Basic formulas for integrals, substitution and integration by parts.
- Revision seminar: Math Econ I: integration techniques 2015 (YouTube)
- Revision seminar: Math Econ I: integration techniques 2015 (Echo360)
- Revision seminar: Math Econ I: integration techniques 2015 (PDF)
Limits and sign diagrams.
- Revision seminar: Math Econ I: limits and sign diagrams 2015 (YouTube)
- Revision seminar: Math Econ I: limits and sign diagrams 2015 (Echo360)
- Revision seminar: Math Econ I: limits and sign diagrams 2015 (PDF)
2014
Functions, differentiation, partial differentiation and lagrange multipliers.