MATH 2230- Engineering Mathematics II
Credits:

Lecturer:
Dr. Neil Ramsamooj email: nramsamooj@eng.uwi.tt

Overview

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Course outline (see table of contents in course notes below)

 

 

 

 

 



Aims


Objectives


Topics Covered


Instructional Sequence

Lecture Hours
Module
Reference
     

Course Notes:


Class notes: Lecture Notes for MATH 2230
(updated 6 th September 2010).

 

The midterm results for MATH2230 are available here.

 

A make up MATH2230 class is scheduled for Monday Dec 2 from 10 am to 1 pm in Eng 8.

 

 

The standard references for MATH 2230 are

Kreyszig, Erwin: Advanced engineering mathematics

Michael D. Greenberg: Advanced engineering mathematics

which are available at the library. The following online references are also useful:

Calculus

Vector Calculus

Calculus III

Multivariable calculus

Differential equations

 

Assignments (2013):

Assignment 1 Solutions
Assignment 2 Solutions
Assignment 3 Solutions
Assignment 4 Solutions
Assignment 5 Solutions
Assignment 6

Partial differential equations: 2011 Assignment 7, Past Assignment 6.

The solutions for these assignments are posted below. Note: attempt/review the pde problems in the course notes and the Past Assignment 6 before attempting the pde problems in the 2011 Assignment 7.

Assignments (2012):

Assignment 1 Solutions
Assignment 2 Solutions
Assignment 3 Solutions
Assignment 4 Solutions
Assignment 5 Solutions

Fourier series problems: 2011 Assignment 6, Past Assignment 5.

 

Assignments (2011):

Assignment 1 Solutions
Assignment 2 Solutions
Assignment 3 Solutions
Assignment 4 Solutions
Assignment 5 Solutions
Assignment 6 Solutions
Assignment 7 Solutions
   

 

Assignments (2010):

Assignment 1 Solutions
Assignment 2 Solutions
Assignment 3 Solutions
Assignment 4 Solutions
Assignment 5 Solutions

 

Assignments (2009):

Assignment 1 Solutions
Assignment 2 Solutions
Assignment 3 Solutions
Assignment 4 Solutions
Assignment 5 Solutions
 

 

Assignments (2008):

Assignment 1 Solutions
Assignment 2 Solutions
Assignment 3 Solutions
Assignment 4 Solutions
Assignment 5


Past Assignments:

Assignment 1 Solutions
Assignment 2 Solutions
Assignment 3 Solutions
Assignment 4 Solutions
Assignment 5 Solutions
Assignment 6 Solutions
Assignment 7 Solutions

 

Past Papers :

Dec 2012 Solutions
July 2012 Solutions
Dec 2011 Solutions
July 2011 Solutions
Dec 2010 Solutions
July 2010 Solutions
Dec 2009 Solutions
July 2009 Solutions
Dec 2008 Solutions
July 2008 Solutions
Dec 2007 Solutions
Dec 2006 Solutions
Dec 2005 Solutions

Note: Question 1 of Dec 2005-July 2009 past exams is not part of the current MATH2230 material

Online lectures for MATH 2230 topics :

Parametric curves Auroux Lecture 5 , Frenkel Lecture 1
Arc length (end of) Frenkel Lecture 2, (start of) Frenkel Lecture 3
Partial differentiation Frenkel Lecture 8 (at 28th minute)
Vector fields Auroux Lecture 19
Divergence of a vector field Tisdell Lecture 4
Curl of a vector field Tisdell Lecture 5
Gradient vector, Directional derivative Auroux Lecture 12, (start of) Frenkel Lecture 12
Line integrals Auroux Lecture 19 (at 17th minute)
Conservative vector fields Auroux Lecture 20
Potential functions Auroux Lecture 21
Double integrals Auroux Lecture 16 , Tisdell (introduction), Tisdell (example)
Reversing the order of integration in double integrals Tisdell Lecture 26
Double integrals in polar coordinates Auroux Lecture 17, Tisdell Lecture 28
Green's theorem Auroux Lecture 22
Parametric surfaces Tisdell Lecture 11
Surface integrals of functions Tisdell Lecture 12, Tisdell Lecture 13
Surface integrals over vector fields Tisdell Lecture 14, Auroux Lecture 27, Auroux Lecture 28
Divergence theorem Auroux Lecture 28 (at 43 minute), Auroux Lecture 29
Introduction to Laplace transform, linearity, improper integrals, s-shift, partial fractions Mattuck Lecture 18
Existence of Laplace transform, exponential type, Laplace transform of derivatives, solving differential equation by Laplace transform Mattuck Lecture 19
Solving systems of differential equations by Laplace transform Boyd Lecture 11
Convolution Mattuck Lecture 20
Step and box functions, t-shift, Laplace transform of piecewise continuous functions Mattuck Lecture 21
Dirac delta function Mattuck Lecture 22
Dirac delta function (precise definition as a distribution (not required for 2230)) Osgood Lecture 11
Introduction to Fourier series, derivation of Euler formulae, example of Fourier series Mattuck Lecture 15
Even and odd functions, convergence of Fourier series, even and odd periodic extensions Mattuck Lecture 16
Introduction to partial differential equations Tisdell - Partial derivatives and pde
Separation of variables (for heat equation with insulated ends) Tisdell - How to solve PDEs
Heat equation (derivation, solution of several cases by separation of variables) Agrawal - One dimensional heat equation
Wave equation (derivation, solution by separation of variables) Agrawal - One dimensional wave equation

 

Course material for MATH 2110 Linear Algebra has been moved to this site.

 

 



Method of Evaluation for MATH 2230

One midterm 25%   
Final              75%

Prerequisites


Text Books & References

PDF documents can be read with Adobe.  If you do not have a copy of Adobe, download the self extracting archive gsv48w32.exe available here to obtain a free copy of the PDF viewer GSView.  

This course is part of the following programme/s:

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MATH3530 Engineering Mathematics III course material

Course notes for MATH3530 are available here.

MATH3530 Assignments (2013):

Assignment 1