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ECON2125/8013 course files

jstac_econ-2125-8013
jstac
Created on December 02, 2019 Last modified December 02, 2019 Page views 33 Metadata JSON
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Abstract
# ECON2125/8013


GitHub page for ECON2125/8013

Australian National University, First Semester 2015

## Announcements

### Last set of solved exercises is up (Posted 26-05-2015)

See below for practice question set 3.



### Final Exam Details (Posted 13-04-2015)

The final exam details are now out.

* Date: June 11th
* Reading commences: 14:15
* Writing commences: 14:30
* Exam ends: 17:30


### Midterm Results and Solutions (Posted 29-04-2015)

The midterm results are up on Wattle. Marks are out of 100. As discussed in
lecture 17, there has been some upward scaling up to make the mean match
historical averages.

The midterm exam paper with solutions can be downloaded here:

* [Midterm with solutions](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/midterm_with_solutions.pdf?raw=true)

Note that the solutions are only indicative --- there are usually many ways to
tackle these problems. In particular, any correct approach was treated as
acceptable as long as it followed the guidelines set out at the top of the
exam paper. The same principle will apply to the final.


### Midterm Details (Posted 13-04-2015)

As discussed in the lectures, the midterm exam details are as follows:

* Date: Thursday 23rd April
* Venue: COPG30
* Room opens: 18:05
* Exam commences: 18:15
* Writing commences: 18:30
* Exam ends: 20:30



## Downloads

### General

* [Course outline](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/course_outline.pdf?raw=true) -- start here or see below for an online version
* [Course notes](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/course_notes.pdf?raw=true) -- covers part of the course material


### Lectures

* [Lecture 1](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_1.pdf?raw=true)
* [Lecture 2](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_2.pdf?raw=true)
* [Lecture 3](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_3.pdf?raw=true)
* [Lecture 4](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_4.pdf?raw=true)
* [Lecture 5](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_5.pdf?raw=true)
* [Lecture 6](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_6.pdf?raw=true)
* [Lecture 7](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_7.pdf?raw=true)
* [Lecture 8](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_8.pdf?raw=true)
* [Lecture 9](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_9.pdf?raw=true)
* [Lecture 10](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_10.pdf?raw=true)
* [Lecture 11](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_11.pdf?raw=true)
* [Lecture 12](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_12.pdf?raw=true)
* [Lecture 13](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_13.pdf?raw=true)
* [Lecture 14](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_14.pdf?raw=true)
* [Lecture 15](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_15.pdf?raw=true)
* [Lecture 16](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_16.pdf?raw=true)
* [Lecture 17](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_17.pdf?raw=true)
* [Lecture 18](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_18.pdf?raw=true)
* [Lecture 19](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_19.pdf?raw=true)
* [Lecture 20](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_20.pdf?raw=true)
* [Lecture 21](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_21.pdf?raw=true)
* [Lecture 22](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_22.pdf?raw=true)
* [Lecture 23](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_23.pdf?raw=true)
* [Lecture 24](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_24.pdf?raw=true)
* [Lecture 25](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_25.pdf?raw=true)
* [Lecture 26](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/lecture_26.pdf?raw=true)



### Tutorial Questions

* [Tutorial for week 2](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON8013_TQ1.pdf?raw=true)
* [Tutorial for week 3](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON8013_TQ2.pdf?raw=true)
* [Tutorial for week 4](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON8013_TQ3.pdf?raw=true)
* [Selected solutions for week 4 tutorial](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/Selected_solutions_for_Week_4_tutorial.pdf?raw=true)
* [Tutorial for week 5](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON8013_TQ4.pdf?raw=true)
* [Tutorial for week 6](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON8013_TQ5.pdf?raw=true)
* [Tutorial for week 8](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON8013_TQ7.pdf?raw=true)
* [Tutorial for week 9](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON8013_TQ8.pdf?raw=true)
* [Tutorial for week 10](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON8013_TQ9.pdf?raw=true)
* [Tutorial for week 11](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON2125_4021_8013TQ10.pdf?raw=true)
* [Tutorial for week 12](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON2125_4021_8013TQ11.pdf?raw=true)
* [Tutorial for week 13](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON2125_4021_8013TQ12.pdf?raw=true)
* [Tutorial for week 13 - additional](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/ECON2125_4021_8013TQ13.pdf?raw=true)

### Practice Questions

* [Set 1](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/practice_qs_1.pdf?raw=true)
* [Set 1 solutions](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/practice_qs_1_solutions.pdf?raw=true)

* [Set 2](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/practice_qs_2.pdf?raw=true)
* [Set 2 solutions](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/practice_qs_2_solutions.pdf?raw=true)


* [Set 3](http://github.com/jstac/econ-2125-8013/blob/master/PDFs/practice_qs_3.pdf?raw=true) (Solutions in the same file)

## Links

Some links that might be of use are

* [math.stackexchange](http://math.stackexchange.com) -- answer for your maths questions
* [Martin Osborne's online notes](https://www.economics.utoronto.ca/osborne/MathTutorial/index.html) -- optimization for economists
* [quant-econ](http://quant-econ.net/) -- mix of theory and programming in Python





## General information

The information below is identical to the information in the [course outline](https://github.com/jstac/econ-2125-8013/blob/master/PDFs/course_outline.pdf?raw=true) and repeated only for convenience.


### Titles

- Mathematics A (2125)

- Optimization for Economics and Financial Economics (2125)

- Mathematical Techniques in Economics I (8013)

### Course Description

Together with ECON2127/ECON8014, this course forms a two-semester
sequence that introduces students to a range of foundational
mathematical concepts and techniques routinely used in economic theory
and quantitative modeling for economics, finance and business. The
concepts and techniques will be derived from basic principles and
illustrated using a variety of applications.

Optimization will be a recurring theme in the course, since much of
economic theory involves optimization, as do a diverse range of
econometric, statistical and financial problems. However, a number of
other foundational topics in mathematical modeling will also be treated.
These include linear algebra, dynamics and probability theory.

### Learning Outcomes

Upon a successful completion of this course, students should be able to:

- Understand many of the mathematical methods that are most widely
used in economics, both from a formal, abstract perspective, and an
intuitive perspective.

- Know how to read, understand, and construct simple mathematical
proofs, and appreciate their role in the derivation of mathematical
concepts and structures.

- Apply mathematical methods and techniques that are formulated in
abstract settings to concrete economic applications.

### List of Topics

The main topics of the course will be

1. Linear algebra

2. Elementary real analysis

3. Foundations of probability theory

4. Multivariate calculus and optimization

5. Introduction to dynamics

6. Orthogonal projection and its applications

7. Further applications

Topics may vary slightly at the instructor’s discretion depending on the
rate of progress and level of the students.

### Instructor

John Stachurski

Office: Room 2006, HW Arndt Building 25a

Email: `john.stachurski@anu.edu.au`

Contact hours: Monday 9:00–11:00 AM


### Lecture Timetable

Lecture | Time | Location
------------| --------------------| --------------
Lecture A: | Wednesday 10–11 AM | CBE BLD LT 2
Lecture B: | Thursday 9–10 AM | CBE BLD LT 2

Important: Lecture C as listed in the course timetable is *not currently
active*. No lecture will take place outside the two listed above unless
otherwise advised. (Lectures for graduate students are likely to be held
in the C slot later in the semester. Students will be advised through
both lectures and Wattle if and when this occurs.)


### Tutorials

Tutorials are on Fridays in Room TR6 of HW Arndt Building 25a

Group | Time
---------| -------------
Group 1 | 12:00–13:00
Group 2 | 13:00–14:00
Group 3 | 14:00–15:00

Further details will be given in the first lecture. The two tutors for
this course are

Name | Email | Room
--------------| ---------------------------| -----------------------------
Qingyin Ma | `qingyin.ma@anu.edu.au` | Room 1125 Copland Building
Guanlong Ren | `guanlong.ren@anu.edu.au` | Room 2018 HW Arndt Building

### Resources

As well as the usual Wattle course page, which students should check regularly
for up to date information related to the course, this GitHub page will store
all PDFs and other reading material related to the course.

All of the lecture slides used through the course will be made available to
students as PDF files. The lecture slides will be relatively comprehensive and
self-contained, and serve as the primary source of reading material for
students. Slides corresponding to each lecture will be made available to
students as downloadable files on this page shortly before (best case) or
immediately after the corresponding lecture.

On this page you will also find a PDF file called `course_notes.pdf`. These
notes give additional background and practice exercises for some *but not all*
topics treated in the course.

Finally, recording of lectures will usually be made available but
unrecorded lectures are quite likely to occur and hence the recordings
should not be relied upon.


### Assessment

Assessment will consist of one mid-term exam and one final exam. The
weighting is

Exam | Weight
----------------| ----
Mid-term exam: | 40
Final exam: | 60

ECON2125 and ECON8013 students will be assessed in separate pools with
possible variation in requirements and standards. Final grades may not
be an exact sum of exam scores, due to post-processing by the university
administration. This processing might alter the absolute value of
individual scores but it will not affect the ranking.

### Further Reading

One recommended source of material related to the course is

- Simon, C. and L. Blume (1994) *Mathematics for Economists.* Norton

In past years this text has been compulsory but this year it is only
recommended. It will be useful as background reading and a source of
practice questions for many parts of the course.

All topics are standard and plenty of useful free material can be found
on the Internet on a case by case basis. For example,
http://math.stackexchange.com can be very helpful. Other texts that might be
useful to understand the course material—but are *in no way
required*—include:

- *Principles of Mathematical Analysis* by Walter Rudin

- *Linear Algebra* by David Lay

- *Calculus: Concepts and Methods* by Ken Binmore and Joan Davies

- *Optimization in Economic Theory* by Avinash K. Dixit

- *A First Course in Optimization Theory* by Rangarajan Sundaram

### Prerequisites

See the ANU Programs and Courses guide

### Other

Please refer any administrative questions to the course administrator
Karissa Carkeet, room 1013, HW Arndt Bulding (25a).

All students are welcome to discuss course material with the tutors or
myself during tutorials and respective office hours. However, please do
not use email for instructional purposes.
Authoring entity
Agency Name Role
jstac owner
Language
English

Methods, software and scripts

Software
Name Libraries or packages used
Python
matplotlib, numpy, mpl_toolkits, scipy
License
Name
MIT License

Metadata production

Producers
Name Role
GitHub Bot bot
Date of Production
01 December 2019
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