Department of Mathematics and Statistics 620-161 Introductory Mathematics Semester I, 2005

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 18, in your 620-161 lecture. 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
  

  Deb King Room G42, Richard Berry Building     d.king@ms.unimelb.edu.au 8344 8052 Consultation times Mon 3.15-4.15, Wed 11-12, Fri 1.10-2.10

  Sanming Zhou Room 146, Richard Berry Building     smzhou@ms.unimelb.edu.au 8344 3453 Consultation times Mon 11-12, Wed 11-12, Fri 11-12

• Tutor-Coordinator:
  

  Sally Kuhlmann Room G43, Richard Berry Building     smk@ms.unimelb.edu.au 8344 3879 Consultation times Mon 10-11, Mon 2.15-3.15, Wed 1.10-2.10, Thurs 3.15-4.15

• 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.

  Deb's Lectures Stream 1 Monday - Lowe Theatre, Redmond Barry Wednesday - Prince Philip Theatre, Architecture Friday - Baldwin Spencer     Mon, Wed, Fri - 12:00 - 1:00

  Sanming's Lectures Stream 2     Monday - Wright Theatre, Medical Wednesday - Harold Woodruff Theatre, Microbiology Friday - Harold Woodruff Theatre, Microbiology     Mon, Wed, Fri - 2:15 - 3:15

• Text book
  The subject does not have a textbook as such. It does have a reference book : 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.

  The text will often be referred to in lectures, and all students in 620-161 are strongly urged to acquire their own copy. Some exercises in this book are listed on the Example Sheets for the course, and the lecturers will frequently set reading of particular sections of the text. Second-hand copies may be available.

  Students who are taking 620-161 as a one-semester stand-alone Mathematics subject which is a service to their main course ought to consider keeping this text indefinitely, for reference when applying their mathematical knowledge in their chosen field.

• 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 text 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 text book 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 text book 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.

  NO CALCULATORS will be allowed in the examination.

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Created: 19 February 2004
Last modified: 24 February 2005
Authorised by: Deborah King, Department of Mathematics and Statistics.