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Mat-F March 9, 2005 Vector Calculus, 10.1-10.5 Åke Nordlund Niels Obers, Sigfus Johnsen Kristoffer Hauskov Andersen Peter Browne Rønne

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Overview Changes Group 4a, Wednesday 10-12, RF085 D315 (ØL) Group 1b, Wednesday 13-15, RF061 A112 (ØL)

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Dagens emne Vigtigt (afgørende!) spørgsmål: Hvordan klarer man sig godt til eksamen?! Hvordan klarer man sig godt til eksamen?!

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How to do well at examinations Basic knowledge and understanding! of course! Techniques! be familiar with, and use, two approaches: ‘blind’ mathematics ‘visual’/’conceptual’ mathematics & physics Psychology! feed-back to/from the two items above!!

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Example: motion of charged particle (Exercise 10.3) ‘Blind’ mathematics work out the component form of the equations be systematic (use permutations, nice formatting, …) solve! sometimes easier said than done! ‘Conceptual’ mathematics symbolic vector notation is powerful and simple! perpendicular derivative length of vector constant use properties such as linearity superposition of solutions

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A possible approach to exams Take a quick look, using the ‘conceptual’ angle “Hm, this one is so and so, that one is …” Yes! – I can do this! Then work out the details Or: Work out ‘blind math’ solutions first then check that the answers make sense, using the ‘conceptual’/’visual’ angle

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Black board …………….

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Enough for today! Good luck with the Exercises!

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Solve an equation using subtraction EXAMPLE 1 Solve x + 7 = 4. x + 7 = 4x + 7 = 4 Write original equation. x + 7 – 7 = 4 – 7 Use subtraction property of.

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