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## THE MAV REVISION LECTURE 2011

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**THE MAV REVISION LECTURE 2011**Mathematical Methods CAS Units 3 and 4 Allason McNamara**Lecture Notes**• MAV Revision Lecture Series 2011.doc**EXAMINATION 1**Structure of the paper • Short answer questions – 40 marks • Time limit: 60 minutes writing time 15 minutes reading time**Added Content to Exam 1**• General solutions to trigonometric equations • Average value of a function • Functional Equations • Matrices – transformations, transition matrices and steady state (Further Mathematics), solving simultaneous equations (up to 5 unknowns) • (Compound and Double Angle formulae)**Sample VCAA Questions and Frequently Asked Questions**• Solutions to VCAA 2010 Sample Questions.doc • mmcasfaqs2011.pdf**EXAMINATION 2**Structure of the paper Part I • 22 multiple choice questions – 22 marks Part II • Extended answer questions – 58 marks • Time limit: 120 minutes writing time 15 minutes reading time**General Advice**• No calculator syntax • Always give exact answers unless the question asks for an approximate answer. • Draw graphs properly: scale axes, give coordinates if asked for…… • For questions worth more than one mark show appropriate working. On Exam 2, this is the rule you are using and the answer. • For “show that”questions show all the steps.**Don’t forget to put the multiplication**sign between a and x and the b and x on the calculator. E**There are 4 types of relations (Horizontal line: Vertical**Line Test) many:many circle 1:many inverse is a function many:1 parabola function 1:1 line function inverse is a function**If they ask for f give the domain and rule.**If they ask for f(x) give the rule.**Solving Equations 2010 Exam 2**• If the calculator does not give a solution, just solve the numerator equal to zero.**psandqs[1].doc**n: even over odd >1 n: odd over odd >1**a**b D c e**Don’t flick your graphs back – show asymptotic behaviour**• Domain R\{b} • Range R\{c} • Give the equations of the asymptotes • Scale the axes properly**Domain R\{b}**• Range y > c**D**-1**A**Check the a value.**New to Exam 1 2010**Note both curves go through the origin. Solve the determinant equal to zero. By-hand B**D**By-hand**B**Which one is a many:1 function?**Asymptotes of f**Swap x and y and solve for y on the calculator. Asymptotes of inverse E