Courses Taught >> EGID 200 Engineering Mathematics

 

This course provides students mathematical background needed for engineering applications including Solutions of Ordinary Differential Equations by various methods and Vector differential and integral calculus.

 
Class Hour


Dr. Praveen no longer teaches this class. However, handouts are still avaiable for download.
Course Syllabus

 

Class No.
Topics
1
 Introduction, Vectors & Matrices
2
 Ordinary Differential Equations
3
 Systems of Ordinary Differential Equations
4
 Systems of Ordinary Differential Equations
5
 Systems of Ordinary Differential Equations
6
 Systems of Ordinary Differential Equations
7
 Laplace Transform
8
 Laplace Transform
9
 Laplace Transform
10
 Laplace Transform
11
 Laplace Transform
12
 Sequence & Series
13
 Taylor Series Expansion
14
 Series Solution of Ordinary Differential Equations
Midterm Exam
15
 Series Solution of Ordinary Differential Equations
16
 Series Solution of Ordinary Differential Equations
17
 Calculus of Real-Valued Functions
18
 Calculus of Real-Valued Functions
19
 Line, Surface and Volume Integrals
20
 Line, Surface and Volume Integrals
21
 Polar Coordinates
22
 Polar Coordinates
23
 Green's Theorem
24
 Green's Theorem
25
 Gauss's Divergence Theorem
26
 Gauss's Divergence Theorem
27
 Stoke's Theorem
28
 Stoke's Theorem
Final Exam

 
Handouts/ Maple Examples

 

Engineering Mathematics with MAPLE(TM): A Really Quick Guide
(requires Maple 10 or later)

Introduction to MAPLE

Using MAPLE to Solve First Order ODE

Using MAPLE to Solve Second Order ODE

Using MAPLE to Perform Vector/Matrix Algebra

Using MAPLE to Solve Systems of Linear Differential Equations

Using MAPLE to Perform Laplace Transform

Using MAPLE to Plot Curves and Perform Calculus in Polar Coordinate

Using MAPLE to Plot Curves and Surfaces in 3D

Using MAPLE to Peform Vector Differential Calculus

Using MAPLE to Perform Vector Integral Calculus

Lecture Notes

Review of ODE

System of Linear Differential Equation (Homogeneous & Nonhomogeneous)

Laplace Transform

Series Solution of Differential Equation

Polar Coordinate

Vector Differential Calculus

Vector Integral Calculus

Vector Calculus in Cylindrical and Spherical Coordinate

 

Other Resources

 

MapleSoft Company Website

Coombes, K. R. et al. (1996), Differential Equations with Maple, John Wiley and Sons, New York, 232 pages.

 
Announcements/ Homework

None
References

 

Recommended References

O’Neil, P. V. (2007), Advanced Engineering Mathematics, 6th Edition, Thompson, 1204 pages
Kreyszig, E. (2006), Advanced Engineering Mathematics, 9th Edition, John Wiley and Sons Inc., New York, 1094 pages.

Polar Coordinates

Anton, H., Bivens, I., and Davis, S. (2002), Calculus, 7th Edition, John Wiley and Sons Inc., New York, 1166 pages.

Finney, R., Weir, M. D., and Giordano, F. R. (2001), Thomas's Calculus, 10th Edition, Addison-Wesley Publishing, Boston, 1256 pages.

Other References

Riley, K. F., Hobson, M. P., and Bence, S. J. (2002), Mathematical Methods for Physics and Engineering, 2nd Edition, Cambridge University Press, UK, 1232 pages.

Zill, D. G. (2005), A First Course in Differential Equations, 8th Edition, Thompson, Canada, 393 pages.