Subject Details - Stage 2 Mathematical Methods

  
SACE StageSACE Stage 2
Tertiary Admission SubjectYes
SACE Credits20 credits
Subject Length2 semesters
DescriptionMathematical Methods develops an increasingly complex and sophisticated understanding of calculus and statistics. By using functions and their derivatives and integrals, and by mathematically modelling physical processes, students develop a deep understanding of the physical world through a sound knowledge of relationships involving rates of change. Students use statistics to describe and analyse phenomena that involve uncertainty and variation.

Mathematical Methods provides the foundation for further study in mathematics, economics, computer sciences, and the sciences. It prepares students for courses and careers that may involve the use of statistics, such as health or social sciences. When studied together with Specialist Mathematics, this subject can be a pathway to engineering, physical science, and laser physics.
TopicsStage 2 Mathematical Methods consists of the following six topics:

Topic 1: Further Differentiation and Applications
Topic 2: Discrete Random Variables
Topic 3: Integral Calculus
Topic 4: Logarithmic Functions
Topic 5: Continuous Random Variables and the Normal Distribution
Topic 6: Sampling and Confidence Intervals.
AssessmentAssessment is a mixture of school and externally based. Students demonstrate evidence of their learning through Skills and Applications Tasks (6 tests = 50% school assessed), a Folio of Work (1 investigation = 20% school assessed) and a 130 minute examination (30% externally assessed).

One test must be undertaken without using a calculator or notes.

These are assessed against two performance standards:
o Concepts and Techniques (CT)
o Reasoning and Communication (RC)
SACE Assessment PlanMathematical Methods
Suggested Prior LearningAn 'A' or 'B' in Stage 1 Mathematical Methods A and B.
Additional InformationEffective use of a graphic calculator is an essential component in all sections of this course and students will be expected to have continuous access to a graphic calculator. These can be borrowed through the school ($60 refundable deposit). Students will also need to purchase a revision guide ($30).

Graph book and appropriate stationery.

For success in this course students should expect to be spending a minimum of 3 hours per week, outside of timetabled lesson and tutorial time, on independent study, revision, practice and completing assessment tasks (both formative and summative).