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  1. THE MAV REVISION LECTURE 2011 Mathematical Methods CAS Units 3 and 4 Allason McNamara

  2. Lecture Notes • MAV Revision Lecture Series 2011.doc

  3. EXAMINATION 1 Structure of the paper • Short answer questions – 40 marks • Time limit: 60 minutes writing time 15 minutes reading time

  4. 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)

  5. Sample VCAA Questions and Frequently Asked Questions • Solutions to VCAA 2010 Sample Questions.doc • mmcasfaqs2011.pdf

  6. 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

  7. 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.

  8. Algebra

  9. Don’t forget to put the multiplication sign between a and x and the b and x on the calculator. E

  10. No f is not exactly divisible by x + 1.

  11. 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

  12. If they ask for f give the domain and rule. If they ask for f(x) give the rule.

  13. Be careful if the square root is in the denominator.

  14. Solving Equations 2010 Exam 2 • If the calculator does not give a solution, just solve the numerator equal to zero.

  15. Using transformations

  16. A

  17. B

  18. New to Exam 1 2010 A

  19. psandqs[1].doc n: even over odd >1 n: odd over odd >1

  20. psandqs[1].doc

  21. n: odd over even less than 1

  22. n: odd over odd less than one

  23. a b D c e

  24. 5

  25. 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

  26. Domain R\{b} • Range y > c

  27. D -1

  28. E

  29. A Check the a value.

  30. New to Exam 1 2010 Note both curves go through the origin. Solve the determinant equal to zero. By-hand B

  31. B

  32. D By-hand

  33. No solution

  34. Domain is the same as the domain of f(x).

  35. B Which one is a many:1 function?

  36. Asymptotes of f Swap x and y and solve for y on the calculator. Asymptotes of inverse E

  37. C

  38. B

  39. C