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by CHE Pak Hou 13 years, 3 months ago
Welcome to the wonderful world of ENGG2011A!
ERG2011A Advanced Engineering Maths (Syll A)
20102011 1st Semester
Announcements
QUIZ 3  5 SOLUTION 
Dec 8, 2010 
Here is the Maxima worksheet for your Maxima quiz. LINK 
Nov 30, 2010 
Just for your reference: Laplace transform table or http://en.wikipedia.org/wiki/Laplace_transform
Remark: the function in wikipedia is just multiplied by u(t), it is nothing but the transform holds for t>0. You are not necessary to write u(t) in the function.

Nov 10, 2010 
I will be in office on Tuesday 1930  2030. (No tutorial tomorrow) If you have questions about the midterm, ask me during that time. :)
If you missed this Q&A section, just ask questions in the Q&A page. Professor JAGGI and I will answer your questions in the Q&A page.
Please make good use of the online resources!
P.S. Professors and tutors are not the only guys can help, you can also ask your classmates. Last but not least, collaboration is very important when you are studying in the university!

Oct 26, 2010 
New tutorial note is uploaded. If you have questions about the quiz/midterm or lecture/tutorials, feel free to ask in the Q&A page! 
Oct 20, 2010 
Quiz 2 solution is uploaded!

Oct 15, 2010 
New tutorial and office hour arrangement.
For the weeks have quizzes, tutorial will only be on Monday from 08:30 to 09:15.
For the normal weeks (no quizzes), tutorial will only be on Tuesday from 16:30 to 17:15.
So, each week has only one tutorial!
Office hour for tutor will be at Thursday night from 19:30 to 21:00. Please let me know before you come.

Oct 7, 2010 
Quiz 2 on Monday, Oct 11. 
Oct 7, 2010 
Tutorial 3 and supplementary notes for Wronskian are uploaded. 
Oct 7, 2010 
Quiz 1 sample solution is uploaded! Feel free to contact me if you have problems. 
Oct 1, 2010 
Tutorial material is revised, please have a look! :) 
Sept 28, 2010 
Tutorial material is updated! 
Sept 27, 2010 
Your class scores here 
Sept 20, 2010 
New tutorial section on Monday, 08:30  09:15! 
Sept 16, 2010 
Skipclass calculator 
Sept 16, 2010 
Some problems are added into tutorial 1 (The red sentences) . Please try to answer those questions, and feel free to discuss with your classmates. :) 
Sept 15, 2010 
Problem Set 1 is updated! 
Sept 14, 2010 
Tutorial 1 is updated! Please read the tutorial (last part maybe slightly advanced) and think about what you do (not) understand. Also try to fill in the missing equations to test your understandings. 
Sept 14, 2010 
Quiz 1 on Monday, Sept 20th. Materials include first 8 topics in Worksheet 1, and first 4 questions in problem set 1 (it will be relatively easy). If you wish to use one of your two quiz exemptions, you must turn in the answers to Problems 14 from Problem Set 1 by this Thursday, Sept 16th. 
Sept 13, 2010 
Class on Thursday, Sept 16th, in William Mong Engineering Building 1007 
Sept 13, 2010 
Tutorial venue is changed to UCC 108! 
Sept 13, 2010 
Tutorial time and venue are updated! 
Sept 11, 2010 
Lecture And Tutorial Schedule
Lecture 
Monday
09:30  11:15
LHC G03
Thursday
10:30  11:15
LHC G03

Tutorial 
Monday
08:30  09:15
LHC G03
Tuesday
16:30  17:15
UCC 108

NOTES
Tutorial Notes
Week 
Topics 
Week 2 
mathematical models, separable differential equations, geometric meaning (approximation) of differential equations 
Week 3 and Week 4 
Picard's approximation, characteristic of ODE 
Week 5

Homogeneous ODE, nonhomogeneous ODE, linear independence 
Supplementary notes in Wronskian

Wronskian (linear independence) 
Week 7 
Power series, method of power series 
Instructor's and TAs' contact details
Professor/Lecturer/Instructor:


Name

Prof. Sidharth Jaggi

Office Location

SHB Room 706

Telephone

26094326

Email:

jaggi@ie.cuhk.edu.hk

Office Hour

By appointment

Teaching Assistant/Tutor:


Name

CHE, Pak Hou (Howard)

Office Location

SHB 7th floor INC

Email

howard.pakhou.che@gmail.com

Office Hour

Thursday 19:30  21:00

Course Title: ERG 2011A Advanced Engineering Mathematics (Syllabus A)

Description:
This course aims at teaching students about fundamental concepts, solution methodologies and operational techniques and applications of the following mathematical topics:
· First order and 2^{nd} order Ordinary Differential Equations
· Laplace transforms
· Fourier Series and Transform.
· Vector Differential Calculus
· Vector Integral Calculus
Note: Calculus is a prerequisite. If you haven't taken calculus earlier, please talk to the instructor during the first class. 
Content, highlighting fundamental concepts
Topic 
Contents/Fundamental Concepts 
General introduction of Differential Equations 
Terminology and Classification of Differential Equations and their role as a system modeling and analysis tool. 
First Order Ordinary Differential Equations (ODEs) 
Separable ODEs, Exactness, Integrating Factor, Linear ODEs, Existence and Uniqueness of Solutions; Graphical Solutions; Picard Iteration.

Second Order ODEs 
Homogeneous vs. Nonhomogeneous ODEs ; Superposition principle ; Method of Reduction of Order; Homogeneous Linear ODEs with Constant Coefficients; Differential Operators; EulerCauchy Equations; Nonhomogeneous Linear ODEs; Method of Undetermined Coefficients; Solution by Variation of Parameters. 
Series Solutions for ODEs 
Power Series Method; Radius of Convergence, Legendre’s Equation; Frobenius Method; Bessel’s Equation and Bessel Functions. 
Laplace Transform 
Definition and Laplace Transform and Inverse Laplace Transform of simple functions ; Unitstep and Delta Functions ; Properties and operational techniques of Laplace Transform and its Inverse; Applications of Laplace Transform in solving systems of ODEs; Convolution and its application in characterizing Linear TimeInvariant systems. 
Fourier Series and Transform 
Definition, properties and operational techniques of Fourier Series; Complex Fourier Series; From Fourier Series to Fourier Transform; Properties and operational techniques of Fourier Transform and its Inverse. 
Vector Differential Calculus 
Calculus for Functions with Multiple Variables: partial derivatives, Total differentials, Chain rules, Implicit Functions; Vector space, Innerproduct and Crossproduct; Vector and Scalar Functions and Fields, Derivatives; Curves, parametric representation, tangent, arclength; Gradient and Directional Derivative of Scalar Fields; Divergence and Curl of Vector Fields. 
Vector Integral Calculus 
Line Integrals, Pathindependence properties; Multiple Integrals, Change of variables, Jacobian; Green’s Theorem; parametric representation of Surfaces, Tangent plane and Normal; Surface Integrals; Volume Integrals; Gauss’ Divergence Theorem; Stoke’s Theorem. 
Learning outcomes:
1. Demonstrate knowledge and understanding of the concepts, principles, solution approaches and operational techniques for the various topics covered in the course.
2. Demonstrate the ability to apply the learned techniques to solve simple engineering mathematical problems.
This course contributes to the following IE Programme Learning Outcomes: major: 1, 5 ; minor: 2, 4.

Learning activities
Lecture 
Interactive Tutorial 
Lab (Maxima) 
Discussions 
in class (hour) 
in class (hour)

out class (hour) 
out class (hour) 
36 
0 
0 
12 
2 
0 
0 
20 
M 
O 
M 
O 
M 
O 
M 
O 
M: Mandatory activity in the course
O: Optional activity
NA: Not applicable
Assessment Scheme
Task Nature 
Description 
Weight 
Weekly Quiz/Problem Set 
Assess learning outcome 1 and 2 
30% 
Maxima 
Assess learning outcome 1 and 2 
10% 
Midterm Test 
Assess learning outcome 1 and 2 
20% 
Final Exam 
Assess learning outcome 1 and 2 
40% 
Learning resources for students
A course web page will be provided for the dissemination of courserelated announcements, documents (course outlines, project specifications, marking schemes), lecture notes, tutorial notes, and lists of recommended/supplementary readings and online learning resources.
The course wiki is the main discussion channel for students to discuss topics related to lectures and projects. Tutors will monitor the wiki on a daily basis to response to questions from students.
Required Textbook
[Krey] Advanced Engineering Mathematics, 9th Edition, by Erwin Kreyszig, Published by John Wiley & Sons 2005.
Highly Recommended Reference
[Kaplan] Advanced Calculus (5th Edition), by Wilfred Kaplan, Published by Addison Wesley, 2002

Academic honesty and plagiarism
Attention is drawn to University policy and regulations on honesty in academic work, and to the disciplinary guidelines and procedures applicable to breaches of such policy and regulations. Details may be found at http://www.cuhk.edu.hk/policy/academichonesty/. With each assignment, students will be required to submit a statement that they are aware of these policies, regulations, guidelines and procedures.

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Comments (1)
sidjaggi said
at 3:55 am on Oct 19, 2010
i've been asked when and where the midterm will be. In class, during class hours.
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