620-161 Introductory Mathematics Semester I, 2007

Basic information

• Background
  620-161 is primarily intended for students who have taken VCE Mathematical Methods 3/4 but NOT Specialist Mathematics 3/4.

• Classes
  620-161 is a one semester subject and runs in first semester only. The subject consists of three one-hour lectures and one one-hour tutorial per week.

• Mid-semester test
  A 45 minute test worth up to 15% of the final assessment will be held on Monday, April 16, 2006, at your regular lecture time . The details of the venue will be provided in due course. See the "Assessment" page for details of all components of assessment.

• Further Information
  A booklet containing all Example Sheets as well as detailed information relating to this subject will be handed out, free of charge, in the first lecture.

• Lecturers
  

  Sanming Zhou Room 147, Richard Berry Building     S.Zhou@ms.unimelb.edu.au 8344 3453 Consultation times TBA

  Moshe Sniedovich Room 150, Richard Berry Building     m.sniedovich@ms.unimelb.edu.au 8344 5559 Consultation times TBA

• Tutor-Coordinator:
  

  Sally Kuhlmann Room G47, Richard Berry Building     8344 3879 S.Kuhlmann@ms.unimelb.edu.au Consultation times: TBA

• Lecture details and times
  You will be allocated to one of two lecture streams. Please check the First Year Notice Board in the Richard Berry Building if you don't know which stream you are in.

  Sanming's Lectures Stream 1 Baldwin Spencer-Theatre     Monday, Wednesday, Friday     12:05 - 12:55

  Moshe's Lectures Stream 2 Monday: Baldwin Spencer-Theatre Wed, Fri : Harold Woodruff Theatre, Microbiology 2:20 - 3:10

• Text book
  The main reference material for this subject is a set of Lecture Notes that can be purchased at the Book Room. The Notes cover all the topics to be discussed in class.

  We shall often refer to the book entitled APPLIED MATHEMATICS FOR BUSINESS, ECONOMICS, LIFE SCIENCES AND SOCIAL SCIENCES (seventh or eighth edition) by Raymond A Barnett, Michael R Ziegler and Karl E Byleen, published by Prentice-Hall -- B\&Z for short.

  Details of other suitable reference books will be posted on the website of the subject.

• Example Sheets
  There are eleven Example Sheets which are included in the distributed Course Information and Guide booklet. You are strongly advised to attempt all the questions on the Example Sheets, and also to do as many of the suggested Extra Questions from the text book as time allows: your tutor will advise which examples are crucial.

  The material of each lecture should be reviewed briefly (perhaps only requiring 10 minutes) on the day it is given, because this action raises long term retention of concepts and techniques and reduces the need for later revision. You should also refer to the relevant sections of the text soon after meeting material in lectures, and occasionally before lectures. The problems on the Example Sheets should be attempted within a week or so of the material being given in lectures. Please do not get behind with your work on the problem sheets: you should complete them roughly at the rate of one per week.

  Example Sheet/Topic Relevant sections in B&Z 1. Linear Equations 4-1, 4-2, 4-3 2. Linear Programming (graphs) 5-1, 5-2 3. Linear Programming (simplex) 5-3, 5-4 4. Dual (Linear Programming)     Logs and Exponentials 5-5 2-2, 2-3 (and Ch 1, Ch 2 for revision) 5. Functions & Derivatives     Chain Rule Applications 8-3, 8-4, 8-5 10-2, 10-3, 10-5 6. Implicit Differentiation     Taylor Polynomials 10-4 Not in B&Z 7. Optimization (one var) 9-1, 9-2 (parts only), 9-3, 9-5 8. Partial Derivatives 13-1, 13-2 9. Optimization (two var) 13-3, 13-4 10. Complex Numbers Not in B&Z 11. Differential Equations 14-1, 14-2, 14-3

• Calculators
  Students in 620-161 will require a scientific calculator at least, especially for the calculation of values of logarithmic and exponential functions.

  Some students may own a graphics calculator: there is no disadvantage to those who do not have a graphics calculator, but students who own one and have become proficient in its use during their years in secondary school are encouraged to use it in 620-161.

  Students should be aware that NO CALCULATORS will be allowed in the end of semester examination and Mid Semester Test.

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Created: 25 February 2007
Last modified: 25 February 2007
Authorised by: Moshe Sniedovich, Department of Mathematics and Statistics.