2014年10月14日 星期二

M2 (Algebra and Calculus): Important notes and tips

M2 (Algebra and Calculus)
The examination will consist of one paper of 2.5 hours’ duration.
The paper will be divided into two 2 sections in which all the questions are to be attempted.
Section A (50 marks) will consist of 8-12 short questions.
Section B (50 marks) will consist of 3-5 long questions.

Surds
Mathematical induction
Binomial Theorem
Trigo (**very important for M2)
The number e
Limits
Differentiation (need to know how to differentiate trigo functions!)
Application of differentiation (curve sketching!)

Indefinite integration (integration of trigo functions and integration by parts!)
Definite integration (even, odd and periodic functions!)

Application of definite integration (area and VOLUME!)

Determinants
Matrices
System of linear equations

Introduction to vectors
Scalar product and vector product

Application of vectors