U61M News

29 Jan 14 Lesson: Small Angle Approximations

Objectives:

1. To memorize the small angle approximations for sinx, cosx and tanx.

2. To be able to apply small angle approximations to simplify trigonometric expressions.

3 To appreciate the limitations of small angle approximations

Homework: Exercise 8f

Identities Required:

sin(A+B) = sinA cosB + cosA sinB

sin(A-B) = sinA cosB - cosA sinB

cos(A+B) = cosA cosB - sinA sinB

cos(A-B) = cosA cosB + sinA sinB

tan(A+B) = (tanA + tanB) / (1 - tanA tanB)

tan(A-B) = (tanA - tanB) / (1+ tanA tanB)

16 Sep 13 Lesson: Integration by Substituion

Objectives:

1. To be able to apply integration by substitution to both indefinite and definite integrals.

Homework: themathsteacher lesson and exercise: Integration by substituion

12 Sep 13 Lesson: Intro to Integration by Substituion

Objectives:

1. To be able to recognise the basic steps involved in an integration by substitution.

06 Sep 13 Lesson: Integration by Parts

Objectives:

1. To be able to use integration by parts for functions such as xlnx, xsinx and xe^x

2. To be able to use integration by parts for both indefinite and definite integration

04 sep 13 Lesson: Intro to A2 and to Integration by Parts

Homework: themathsteacher lesson and exercise: Integration by Parts

02 Jul 13 MEI Core 3 Specification 2013

You should download the MEI Core 3 Specification and keep it in a ring binder so that you can read it two pages at a time side by side.

This advice contained in these 5 short videos can help you to improve your study skills in all your subjects at GCSE, A-level and at university. We will watch them in class and talk about them in September. However, I believe you need to watch them more than once to take all the advice on board.

Professor Stephen Chew is a cognitive psychologist from Samford University, Birmingham, Alabama. Just recently, he has recorded five short videos (each 5 - 9 minutes long) to help students become more effective learners. They contain a whole range of dos and don'ts together with practical suggestions you can adopt to improve your learning. Below are direct links to each video. As an alternative you can log on to Youtube and type in 'Stephen Chew'