 # HSC - Mathematics Extension 1 Year 12

## Available Class Times

##### 12:00pmSaturday

HSC Mathematics Extension 1 is a challenging, Calculus based course designed for students with a strong aptitude towards mathematics. The rigorous nature of the course provides an excellent foundation for many degrees and is strongly encouraged for those aiming for a career in science, mathematics, computer science and/or engineering. This one unit course is designed to provide students with a wide breadth of knowledge and understanding that exceeds the general scope of the 2-unit Advanced Mathematics course. Students learn to appreciate the interconnectedness of mathematics through challenging yet interesting topics.

## Studying Mathematics Extension 1 Year 12, at TuteSmart

As such, at TuteSmart we aim to nurture each student’s passion in Maths, allowing them to reach their highest potential. Our tutors are highly qualified and currently study STEM degrees at a tertiary level. As recent high-achieving graduates, they understand what it requires to succeed in MX1, including inside tips and tricks, exam structure and preparation, reducing stress and time management. They are extremely passionate about teaching and sharing their konwledge to help you get the most out of the HSC year and life beyond year 12! Through weekly classes, online support and regular practice exams, students develop skills that will allow them to succeed not only in the HSC, but will also prepare them for their future.

## HSC Mathematics Extension 1 Year 12 Tutors ATAR 99.45

## HSC Mathematics Extension 1 Year 12 Curriculum

 Course Overview and Year 11 Trigonometry Revision Solving Trigonometric Equations Using the Auxiliary Angle Method Proving Trigonometric Identities and Solving Trigonometric Equations Involving Factorisation Solving Trigonometric Equations Using Angle Formulae, including the t-formulae Summary of Trigonometry + Topic Test Proof by Mathematical Induction - Overview + Equality and Divisibility Proofs Proof by Mathematical Induction - Harder Questions + Identifying Errors in 'False Proofs by Induction' Year 11 Revision - Calculus (Rates of Change) Year 11 Revision - Functions (Graphing + Polynomials) Year 11 Revision - Combinatorics + Harder Mathematical Induction and Trigonometry Questions Introduction/Welcome + Overview of Vectors Vectors - Introduction, Magnitude, Component Form Vectors - Dot Product, Projections Vectors - Geometric Proofs and Vector Applications Summary of Vectors + Topic Test Calculus - Integration by Substitution and Primitive of Squared Trig Functions Calculus - Integration by Substitution with Trig + Integrals involving Inverse Trigonometric Results Calculus - Volumes of Solids of Revolution (Part 1) Calculus - Volumes of Solids of Revolution (Part 2) Summary of Calculus Content So Far + Topic Test TuteSmart Half Yearly Exams Calculus - Introduction of Differential Equations + Slope Fields Calculus - Solving DEs in the form dy/dx=f(x) and dy/dx=g(y) Calculus - Solving DEs in the form dy/dx=f(x)g(y) Calculus - Modelling with DEs Summary of Differential Equations + Topic Test Vectors/Calculus - Problems Involving Displacement and Velocity Vectors/Calculus - Problems Involving Forces + Introduction to Projectile Motion Vectors/Calculus - Projectile Motion (Deriving Equations) Vectors/Calculus - Projectile Motion (Solving Questions) Vectors/Calculus - Projectile Motion (Harder Questions) TuteSmart Trial Exams Trial Exam Review Statistical Analysis - Bernoulli Trials + Binomial Experiments and Probability Statistical Analysis - Mean, Variance and Normal Approximation of the Binomial Distribution Statistical Analysis - The Sample Proportion + Normal Approximation of the Sample Proportion Summary of Statistical Analysis + Topic Test Year 11 Content Revision (Part 1) Year 11 Content Revision (Part 2) Entire MX1 Syllabus Crash Course Flexible Revision Lesson Flexible Revision Lesson Flexible Revision Lesson Flexible Revision Lesson Final Lecture - Exam Tricks and Technique

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