Monash University Handbook 2010 Undergraduate - Unit
EDF1128 - Gateway to mathematics
6 points, SCA Band 1, 0.125 EFTSL
Synopsis
This unit introduces students to several fundamental areas of mathematics and uses modern tools such as spreadsheets and pocket calculators. Themes including: problem-solving, the function concept, applying mathematics to practical problems, and proof, are used to show how mathematical topics are interrelated. This unit is designed to develop students' skills and deepen their mathematical understanding.
The topics covered have been developed around the VELS strands for Levels 1-4, and include: number systems and operations, modelling with formulae, plane and solid geometry, measurement, sets and functions, chance and probability, looking at data, graphs and networks.
Objectives
Upon completing this unit the student will:
- Understand the evolution of number concepts and numeration systems
- Appreciate the role of mathematics for solving practical problems in daily life, and be able to write down and solve a selection of such problems
- Understand how algebraic rules arise from the use of operations with numbers
- Understand simple geometry in a plane and three-dimensional space and its applications to measurement and design
- Understand the "function" concept, including interpretations using graphs, algebra, verbal descriptions and spreadsheets
- Understand how random processes such as coin tosses or dice rolls may be modelled and explored using concepts of probability
- Be able to use approximations, a pocket calculator, and software including spreadsheets and geometry tools
- Understand how networks have been analysed, and be able to solve simple network problems using graphs
- Understand how many mathematical topics are interrelated
- Appreciate the role of proof in mathematics
Fieldwork
None
Assessment
Assignment work during the Semester (online and handwritten): 30%
One essay, approx 1500 words: 20%
Examination: 50%
Chief examiner(s)
Dr John Arkinstall
Contact hours
Each week: two 1-hour lectures, one 2-hour workshop, one 1-hour tutorial; for 10 weeks.
Prohibitions
EDF2123 Exploring Mathematics (Peninsula campus)