Intro to Maths for CS 2012/13 REVISION WEEK

1. Intro to Maths for CS2012/13REVISION WEEK John Barnden Professor of Artificial Intelligence School of Computer Science University of Birmingham, UK

2. EXAM(Main and Resit) Previously: DIFFERENT LECTURER, exam style, and coverage of material.

3. Structure and Style of Exam • TWO hours. Do TWELVE Questions out of eighteen. • Spend about 8 minutes per question, leaving about 24 minutes for initial planning and final extra checking. • Style of questions is similar to: • Class Test 6 • Class Test 5 • Term 2 Week 7 exercise set

4. Material Needed for Exam • Lecture material except when specified as optional. • Required textbook reading: • Textbook sections relevant to my lecture material, and mostly specified in my lecture slides. • All Answer Notes for exercises and tests. • All Additional Notes hanging from my module webpages, except for material specified as being optional.

5. Content of Exam In principle, almost anything in the module except when specified as optional. If you can do all the questions in the Term 2 Week 7 exercise set and Class Tests 5 and 6, you should be well set up for the exam. You should make sure you can do everything in previous exercise sets and tests, except for the “Fun” quiz.

6. Content of Exam: Some Exclusions You will not be asked about: Relevance to CS Use of spreadsheets. Calculation of maxima, minima and inflexions using derivatives. Phase of trig functions Trig equations Inverse trig functions (sin-1 x etc) Hyperbolic trig functions (sinh x etc) Limits of functions: anything beyond the basic idea of a limit

7. Points about Test 6:some miscellanous things:following slideshow to do some of the questions: whiteboard

8. Miscellaneous Points about Test 6 SHOW YOUR WORKING: E.g.: In finding prime factors or showing something is prime: mention each prime factor you consider and whether it divides into the given number or not, specifying the remainder in the case of factors above 5. In showing that n and n+1 are co-prime, you need to explain why no integer bigger than 1 divides both. In Qn 4(a): the constant in the equation is 30, not 5. CHECK your answer by plugging in x=5 and making sure the equation gives 0. LEARN the formula for solving quadratic equations, and make sure you have all the details right.

9. Miscellaneous on Test 6, contd Chain rule in differentiation: E.g. tan(x2 – x3) Replacement Phase: Think of the expression as just: tan X and differentiate it with respect to X to get: sec2X Now restore the expression that X replaced, to get: sec2(x2 – x3) Multiplication Phase: Multiply by the derivative of X with respect to x, to get finally: [sec2 (x2 – x3)](2x - 3x2)

10. Reminders on Studying Previous Exercise Sets and Tests: Do all the questions on them repeatedly until you can do them confidently and smoothly. Look at answers first if you need to, but then attempt the questions some time later. Exploit the textbook and its many exercises. Create your own exercises by varying the ones you’ve been given. Feel free to email me or the demonstrators. Tell me if you need to see me. (I’m away May 1 to 5.)

11. QUESTIONS?