units

MTH2132

Faculty of Science

18 September 2017 22 December 2024

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This unit entry is for students who completed this unit in 2016 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

Monash University

6 points, SCA Band 2, 0.125 EFTSL

Undergraduate - Unit

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.

Faculty

Science

Organisational Unit

School of Mathematical Sciences

Coordinator(s)

Associate Professor Burkard Polster

Offered

Clayton

  • Second semester 2016 (Day)

Synopsis

This unit is intended for students with little or no mathematical background. Through the discussion of historical, practical and conceptual questions, it will emphasise the beauty and the power of mathematics. The number of topics covered will be very broad. These will include, amongst many others:

  • Symmetry (regular solids, tilings, Escher, ruler-and-compass, origami)
  • Fibonacci numbers and Golden Ratio
  • Optimal design (soap bubble maths, minimal networks)
  • Mathematical soul capturing (the maths of juggling and lacing shoes)
  • Visualising the 4th dimension
  • The shape of space (Mobius bands, Klein bottles, "pacman" spaces)
  • Infinity.

Outcomes

On completion of this unit students will be able to:

  1. Appreciate the beauty and power of mathematics;

  1. Understand the fundamental concepts of number theory and geometry;

  1. Understand the notion of proof in mathematics and carry out basic proofs;

  1. Appreciate the historical interplay between mathematics and attempts to understand the physical world;

  1. State some of the great unsolved problems in modern mathematics.

Assessment

Weekly problem sheets: 25%
Essay: 25%
Final exam: 50%

Workload requirements

Two 1-hour lectures and one 1-hour support class per week

See also Unit timetable information

Chief examiner(s)

Associate Professor Burkard Polster

This unit applies to the following area(s) of study

Applied mathematics
Mathematics
Pure mathematics

Prerequisites

24 points of university studies