Archive for the ‘Series’ Category

Week 8 — Revision

Monday, December 1st, 2008

In week 8, we revised the following topics:

  1. Integration by parts
  2. Sequence and Series (including summation notation, AP, GP)
  3. Binomial Series
  4. Maclaurin Series
  5. Fourier Series
  6. Fourier Transform

The materials used in lecture and tutorial lessons can be found below:

EG2008 Common Test Revision

wk8 Revision 1

Wk8 Revision 2

Wk8 06S2 Common Test-1

Wk8 06s2 Common Test-2

Week 7 — Fourier Transform

Monday, December 1st, 2008

In week 7, the following topics were discussed:

  1. Tutorial 7 & 8 on Fourier Transform
  2. Fourier Transform

The materials used in lecture and tutorial lessons can be found below:

Wk7 Tutorial 7-8 Fourier Transform

Wk7 Fourier Transform

Week 6 — Fourier Series in Complex Form

Monday, December 1st, 2008

In week 6, the following topics were discussed:

  1. Tutorial 6 on Fourier Series for Odd and Even Function
  2. Fourier Series — application
  3. Fourier Series in Complex Form

The materials used in lecture and tutorial lessons can be found below:

Wk6 Tutorial 6-1 Fourier Series (Even and Odd)

Wk6 Tutorial 6-2 Fourier Series (Even and Odd)

Wk6 Fourier Series (handout 3)

Wk6 Fourier Series in Complex Form (handout)

Week 5 — Fourier Series for Odd and Even Funcstions

Monday, December 1st, 2008

In week 5, the following topics were discussed:

  1. Tutorial 5 on Fourier Series
  2. Fourier Series with period T (Continued from week 4)
  3. Fourier Series for Odd and Even Functions

The materials used in lecture and tutorial lessons can be found below:

Wk5 Tutorial 5-1 Fourier Series

Wk5 Tutorial 5-2 Fourier Series

Wk5 Fourier Series for Fuction with Period T (handout2-1)

Wk5 Fourier Series for Fuction with Period T (handout2-2)

Wk5 Fourier Series for Even and Odd Function (handout)

Week 4 — Fourier Series for Functions with period T

Wednesday, November 12th, 2008

In week 4, the following topics were discussed:

  1. Tutorial 4 on Binomail Series and Maclaurin Series
  2. Periodic Functions (given a period function -> plot graph; given the graph -> find the periodic function)
  3. Fourier Series with period T (Note — please use the formula list when attempting the tutorial questions)

The materials used in lecture and tutorial lessons can be found below:

Week 3 — Binomail & Maclaurin Series

Monday, November 10th, 2008

In week 3, the following topics were discussed:

  1. Binomial Series (with n as positive integer, with n as any number)
  2. Maclaurin Series

The materials used in lecture and tutorial lessons can be found below:

Week 2 — AP & GP

Monday, November 10th, 2008

In Week 2, the following topics were discussed:

  1. Revisited the concepts of Sequence and Series
  2. Introduction of the Summation Notation
  3. Arithmetic Progression (general term, sum to n terms, common difference)
  4. Geometric Progression (general term, sum to n terms, common ratio)

The materials used in lecture and tutorial lessons can be found below:

Week 1 — Sequence & Series

Friday, October 17th, 2008

Welcome to 2008S2 EG2008 — Engineering Math 2B Blog.  Hope we have another good learning experience this semester !

In week 1, we have covered the following topics:

  1. Integration by parts (using formula, tabular form and special integration)
  2. Introduction to Sequence and Series

It is important to revise your integration techniques if you are still not very familiar with the 3 methods stated above.

The materials covered in lecture and tutorial lessons can be found below: