Specialist Mathematics Unit 3 and 4
Prerequisites
Successful completion of Mathematical Methods Units 1 and 2. It is also strongly recommended that students have successfully completed Specialist Mathematics Units 1 and 2. Mathematical Methods Units 3 and 4 must be studied concurrently or have been successfully completed.
Course Description
Specialist Mathematics is the most challenging of the VCE Mathematics courses. It expands on many topics that are covered in Mathematical Methods Units 3 and 4 and explores additional topics such as proof, vectors, mechanics, complex numbers, differential equations and statistical prediction.
The appropriate use of CAS technology to support and develop the learning process is incorporated throughout the course.
Areas of Study
Algebra
 Rational functions.
 Complex numbers.
 Proofs for integral powers.
Calculus
 Differential and integral calculus.
 Differential equations.
 Kinematics.
Functions and Graphs
 Absolute value functions.
 Reciprocal functions.
 Simple quotient functions.
 Circular and inverse circular functions.
Mechanics
 Equations of motion.
 Motion of a body.
 Vector proofs.
Probability and Statistics
 Linear combinations of random variables.
 Sample means.
 Confidence intervals.
 Hypothesis testing.
Vectors
 2 and 3D vectors.
 Vector calculus.
Assessment
Outcomes 
Assessment Tasks 
Marks Allocated 
(schoolassessed coursework) 
Students demonstrate satisfactory completion of all three outcomes in each assessment task.

 Define and explain key terms and concepts as specified in the content of the areas of study and apply a range of related mathematical routines and procedures.
 Apply processes in nonroutine contexts and analyse and discuss these applications.
 Select and appropriately use numeric, graphic, and symbolic and statistical technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problemsolving, modelling or investigative techniques or approaches.

Application task (Unit 3)

50 
Modelling or problem solving task 1 (Unit 4)

25 
Statistical and probability modelling or problem solving task 2 (Unit 4) 
25 
Total Marks 
100 
Overall Final Assessment
Graded Assessment 
Title 
Assessment 
Exam Duration 
Contribution to Study Score (%) 
1 
Units 3 and 4 Coursework 
Schoolassessed 

34 
2 
Written Examination 1

November 
1 hour 
22 
3 
Written Examination 2 
November 
2 hours 
44 
Reproduced by permission of the Victorian Curriculum and Assessment Authority, Victoria, Australia: www.vcaa.vic.edu.au