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Solving Tutorial Problems Solving Tutorial Problems

Solving Tutorial Problems - PowerPoint Presentation

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Uploaded On 2020-08-03

Solving Tutorial Problems - PPT Presentation

a very brief introduction Dieter Jaksch Explain mathematical methods Vacation work Integration problem 9     Integrate by parts   Here and and   Integrate by parts again ID: 796842

problem explain car answer explain problem answer car integrate methods integration work discuss parts travelled mathematical constant position initial

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Presentation Transcript

Slide1

Solving Tutorial Problems

a

very brief introduction

Dieter Jaksch

Slide2

Explain mathematical methods

Vacation work, Integration problem 9:

 

 

Integrate by parts:

 

Here:

and

and

 

Integrate by parts again:

 

 

 

 

Explain methods clearly

Discuss assumptions

Justify approximations

Answer the question!

Slide3

Explain mathematical methodsIn later work on different topics

Same problem

Similar problem

 

V

acation work, problem integration 9

 

Integrate by parts:

 

Slide4

Explain the physicsVacation work, mechanics problem 1: A car accelerates uniformly from rest to 80km per hour in

10s. How far

has the car travelled?

The position of the car

is related to its speed

by and the acceleration

is given by . Since is constant in time we can integrate this equation and find

Here

is the constant of integration. Since the car is at rest initially . We thus have at

We now integrate

to obtain the car’s positionHere is another constant of integration describing the initial position. We are interested in how far the car has travelled from its initial position and so the distance travelled is

 

Explain

approach clearly

Check

that the answer is sensible

Is this the full solution to the problem?

Slide5

Diagrams

For instance: Superposition of waves

at

 

 

 

 

 

 

e

nvelope

Axes with labels

Features of graph

Guiding curves

Integral part of answer

Need not be quantitative

Slide6

SummaryExplain mathematical methods

Explain the methods you use clearly and in detailState and discuss any assumptions you make

State and justify any approximations you use

Carefully read and answer the actual question

Explain the physicsExplain your approach clearlyCheck that the answer is sensibleEnsure that you provide the full solution to the problemDiagramsAlways draw axes with labels

Discuss special features of the graphUse additional lines and curves to guide the eyeDiagrams are in important Integral part of answers

Diagrams do not need to be quantitatively correct

Slide7

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