MATH 2230 Engineering Mathematics II

Credits: 
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Course outline (see table of contents in course notes below)
Lecture Hours 
Module 
Reference 
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:
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 :
Note: Question 1 of Dec 2005July 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, sshift, 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, tshift, 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.
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MATH3530 Engineering Mathematics III course material
Course notes for MATH3530 are available here.
MATH3530 Assignments (2013):
Assignment 1  