Mathematics Methods (Units 3 & 4) - ATAR

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Course Code:
ATMAM
Pathway:
University Pathway
Pre-requisites:
Grade C or better in Year 11 Mathematics Methods (Units 1 & 2) - ATAR
Course Description:
The Year 12 syllabus is divided into two units which are delivered as a pair.
 
Unit 3
Contains the three topics:
Further differentiation and applications
Integrals
Discrete random variables
 
The study of calculus continues by introducing the derivatives of exponential and trigonometric functions and their applications, as well as some basic differentiation techniques and the concept of a second derivative, its meaning and applications. The aim is to demonstrate to students the beauty and power of calculus and the breadth of its applications. The unit includes integration, both as a process that reverses differentiation and as a way of calculating areas. The fundamental theorem of calculus as a link between differentiation and integration is emphasised. Discrete random variables are introduced, together with their uses in modelling random processes involving chance and variation. The purpose here is to develop a framework for statistical inference.
 
Unit 4
Contains the three topics:
 
  • The logarithmic function
  • Continuous random variables and the normal distribution
  • Interval estimates for proportions.
 
The logarithmic function and its derivative are studied. Continuous random variables are introduced and their applications examined. Probabilities associated with continuous   distributions are calculated using definite integrals. In this unit, students are introduced to one of the most important parts of statistics, namely, statistical inference, where the goal is to estimate an unknown parameter associated with a population using a sample of that population. In this unit, inference is restricted to estimating proportions in two-
outcome populations. Students will already be familiar with many examples of these types of populations.
Course Assessment:
Response - 40%
Investigation - 20%
Examination - 40%
Additional Information:
Suitable for students who require a strong mathematical preparation for tertiary studies in courses such as mathematics, computing, engineering and the physical sciences but do not wish to study double mathematics.