MATH1013 Mathematical Modelling (Summer School)

General Information

The unit of study MATH1013 Mathematical Modelling will be offered at the Summer School. Further information will be posted here in due course.

Teaching material relating to MATH1013 will be made available from this page while the Summer School is in progress. At other times you may try the regular MATH1013 page.

For the full list of Mathematics and Statistics Units offered in the Summer School see the Mathematics and Statistics Summer School page. Further information about Mathematics and Statistics Units at the University of Sydney see the main Mathematics and Statistics teaching page.

For general information about the Summer School see the Summer School web page.

Summer Online Resources

Links will be added here as the Summer School progresses.

Email contact:

• Emi Tanaka (Lecturer, Weeks 1, 2, 3) or Yinan Zhang (Lecturer, Weeks 4, 5, 6)

Announcements:

• Mon 06/02: Solution for Assignment 1 is up. Assignment 1 has been returned. Please check your marks are recorded correctly. Please report any changes needed by 13/02.
• Mon 06/02: Practice quiz 2 and solutions are up.
• Mon 30/01: Assignment 2 is now up. Staple together the assignment cover sheet which can be found here. Show all working out in the assignment. It is due at the start of the lecture Monday February 6th.
• Wed 25/01: Quiz 1 has been returned. Please check that your marks are recorded correctly. Please report any changes needed by 01/02.
• Mon 23/01: Assignment 1 (*typos fixed*) is now up. Staple together the assignment cover sheet which can be found here. Show all working out in the assignment.
• Wed 18/01: Solutions to practice quiz is now up.
• Tue 17/01: Summary (*updated*) of week 1 and 2 and the answers to practice quiz are up. Please don't forget to bring your calculator and student card for the quiz. Good luck!
• Mon 16/01: Practice quiz is up.
• Thu 12/01: Mathematics Learning Centre (Carslaw Room 438) is now open Wednesdays 12-2pm until week 6.
• Tue 10/01: It appears a number of people have not received the login details for MAple TA. Please try using your unikey (e.g. abcd1234) as your login name and password as your SID. If you have used the system last semester please try your password from last semester if SID does not work.

Kopystop notes:

• Now available for purchase at Kopystop, 55 Mountain St, Broadway, phone: 9211 2733.

Lecture Notes:

• Lecture 1 Part 1 and Part 2 - Introduction to Differential Equations
• Lecture 2 Part 1 and Part 2 - Equilibrium and Stability in Differential Equations
• Lecture 3 Part 1 and Part 2 - Introduction to Difference Equations
• Lecture 4 Part 1 and Part 2 - Equilibrium and Stability in Difference Equations
• Lecture 5 Part 1 and Part 2 - Linear first-order differential and difference equations
• Lecture 6 Part 1 and Part 2 - Logistic Model; separation by variables; partial fractions
• Lecture 7 Part 1 and Part 2 - Further logistic Model; separation by variables; partial fractions
• Lecture 8 Part 1 and Part 2 - Fixed point iteration
• Lecture 9 Part 1 and Part 2 - Logisitic recurrence equation; second order DE
• Lecture 10 Part 1 and Part 2 - Second order recurrence equations; interactions

Consultation Hours:

• Emi Tanaka: Wednesday 18/01 and 25/01, 2-3pm in Room 707A, Carslaw.
• Yinan Zhang: All in Carslaw 707A:
  • Wednesday 01/02, 2-3pm
  • Friday 10/02, 2-3pm (pre quiz consultation)

Quizzes and Assignments:

• There will be two quizzes, each worth 10%. It will be held in tutorials on Monday 23rd January and Monday 13th February.
• There will be two assignments, each worth 5%. It will be due on Monday 30th January and Monday 6th February.

Information Sheet:

• Information Sheet

Assumed Knowledge:

• HSC Mathematics or MATH1111 is assumed knowledege for this course. To help you recall some of the knowledge I have put together a partial list of elementary calculus.

Maple T.A.

We are using the Maple T.A. system so that you can have extra practice problems. Click here to log in to the Maple T.A. system.

Tutorial sheets

• Tutorial 1 and Solutions
• Tutorial 2 and Solutions
• Tutorial 3 and Solutions
• Tutorial 4 and Solutions
• Tutorial 5-6 and Solutions
• Tutorial 7 and Solutions
• Tutorial 8 and Solutions
• Tutorial 9 and Solutions
• Tutorial 10 and Solutions
• Tutorial 11-12

Help

• For administrative matters, go to the Mathematics Student Office, Carslaw room 520.
• For help with mathematics, see your lecturer, or your tutor. Lecturers guarantee to be available during their consulation hour, but may well be available at other times as well.
• If you are having difficulties with mathematics due to insufficient background, you should go to the Mathematics Learning Centre (Carslaw Room 438 - open Wednesdays 12-2pm Wk 2-6) and also you can use their resource page. In particular, you should be familiar with elementary integration.

2012 Summer Timetable

All rooms are in the Carslaw building unless otherwise indicated.

Students meet with the lecturer for the first time at 2 pm on Monday 9 January 2012 in Carslaw Lecture Theatre 173. Students whose last name is from A-K will be in tutorial stream 1 and students whose last name is from J-Z will be in tutorial stream 2.