 # QCE - Specialist Maths Units 3 & 4

## Available Class Times

Specialist Mathematics trains students to explore more sophisticated and often intricate mathematical techniques, often required at the upper-end difficulty in high school mathematics. Taking this subject boosts a more extensive foundation in tackling various STEM based degrees at the tertiary level. The subject is certainly a challenge in its own right, and motivates students to explore the power and beauty of mathematics, both theoretical and in (unironically speaking) more specialised contexts. A wide range of mathematical tools, ranging from algebra, statistics, calculus, mechanics and more.

## Studying Specialist Maths Units 3 & 4, at TuteSmart

It therefore requires devotion to succeed in this subject, and this is exactly what our tutors have. Our TuteSmart members teach from their own experiences at combating higher level mathematics, with passion and enthusiasm. Having ultimately excelled in their journey, they are well aware of the subtleties and the secret tips and tricks that lead to stronger assessment performance that students seek. They communicate the concepts through effective and comprehensive means, with highly detailed questions and solutions, and refinements through practice exams. It is their goal to lead their students to success, both in Specialist Mathematics itself and also in preparation for the future!

## QCE Specialist Maths Units 3 & 4 Curriculum

 Course Overview + Mathematical Induction Mathematical Induction Complex numbers: Revision Complex numbers II: Cartesian and polar forms Complex numbers III: Locus and De Moivre's theorem Complex numbers IV: Roots of unity and polynomials Practice exam on complex numbers 2 Practice exam Review Algebra of Vectors in 3D 1 No classAlgebra of Vectors in 3D 2 Vectors and matrices: Vector and Cartesian equations Vectors and matrices: Vector and Cartesian equations Vectors and matrices: Vector and Cartesian equations Vectors and matrices: Systems of linear equations Vectors and matrices: Vector calculus Unit 3 Practice Exam Unit 3 Practice Exam Review Unit 3 Review Integration techniques Integration techniques Applications of integral calculus: Volumes Applications of integral calculus: Simpsons Rule Applications of integral calculus: Probability density function - exponentials Practice exam on integration and volumes Review Practice Exam on Integration and Volumes Applications of integral calculus: Volumes Applications of integral calculus: Simpsons Rule Applications of integral calculus: Probability density function - exponentials Practice exam on integration and volumes Review Practice exam on integration and volumes Rates of change and differential equations Modelling motion Modelling motion Practice Exam on rates of change and modelling motion Statistical interference: Sample means Statistical interference: Sample means Confidence interval for means Confidence interval for means Practice exam on statistics Review Lesson Exam 1 Exam Review and Revision Intensive Exam 2 Exam Review and Revision Intensive Exam 3 Exam Review and Revision Intensive

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Units 3&4
English
Units 3&4
Physics
Units 3&4
Chemistry
Units 3&4