8/17/2019 SSE1793 Differential Equations

1/4

COURSE OUTLINE

Department & Faculty: Page : 1 of

Cour!e Co"e: SSE1#$% Dfferental E'uaton!

Total Lecture (our!: ) *our!

Seme!ter:

+ca"emc Se!!on:

Lecturer :

Room No, :

Telep*one No, :

E-mal :

Synop!! : This is an introductory course on differential equations. Topics include firstorder ordinary differential equations (ODEs), linear second order ODEs withconstant coefficients up to fourth order, the Laplace transform and its inverse,Fourier series, and partial differential equations (DEs). !tudents will learnhow to classify and solve first order ODEs, use the techniques of undeterminedcoefficients, variation of parameters and the Laplace transform to solve ODEs

 with specified initial and "oundary conditions, and use the technique ofseparation of varia"les to solve linear second order DEs and the method ofd#$lem"ert to solve wave equation.

LE+RNIN. OUTCO/ES

By the end of the course, students should be able to:

No. Course Learning Outcome ProgrammeOutcome

Taxonomiesand Soft-Skills

AssessmentMethods

CO1

CO2

CO3

CO4

Use appropriate techniques to find thesolution of first order differential equation.

Use the method of undeterminedcoefficients and the method of ariation of

parameters to find the solution of secondorder of linear differential equations !ithconstant coefficients up to fourth order.

"roduce the #aplace transforms and itsinerses for standard functions.

$ole initial and boundary alue problemsusin% #aplace transforms.

"O1, "O2

 "O1, "O2

  "O1, "O2

"O1, "O2

C3, &2,"3

C3, &2, "3

C3, &2, "3

C3, &2,"3

'1, (

), '2, (

 ),'2, (

 

(

Prepare" 0y:Name: Sgnature:Date:

Certfe" 0y: Cour!e Panel (ea"2Name:Sgnature:Date: 

8/17/2019 SSE1793 Differential Equations

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COURSE OUTLINE

Department & Faculty: Page : ) of

Cour!e Co"e: SSE 1#$% Dfferental E'uaton!

Total Lecture (our!: )

Seme!ter:

+ca"emc Se!!on:

CO*

CO+

"roduce (ourier series of %ien functions.

$ole second order linear partialdifferential equations usin% the method ofseparation of ariables and the method ofd&lembert for solin% !ae -elmholt/0

equations..

"O1, "O2

"O1, "O2

C3, &2,"3

C3, &2,"3

(

 &,(

STUDENT LEARNING TIME (SLT)

Teaching and Learning ActivitiesStudent LearningTime hours!

1. Face-to-Face Learning

a. Lecturer-Centered Learning

i. Lecture 42

 b. Student-Centered Learning (SCL)i. Laboratory/Tutorial

ii. Student-centered learning activities – ActiveLearning !ro"ect #ased Learning

$4

2. Sel%-&irected Learning

a. 'on-%ace-to-%ace learning or student-centered learning(SCL) suc as anual assignent odule e-Learningetc.

$2

b. *evision +,

c. Assessent !rearations

+. Foral Assessent

a. Continuous Assessent +

b. Final 0a +

Total (SLT) 120

TE+C(IN. /ET(ODOLO.3

Lecture and Discussion, Assignments and/or Quizzes.

8/17/2019 SSE1793 Differential Equations

3/4

COURSE OUTLINE

Department & Faculty: Page : % of

Cour!e Co"e: SSE 1#$% Dfferental E'uaton!

Total Lecture (our!: )

Seme!ter:

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4EE5L3 SC(EDULE

ee 1 : Fr!t or"er or"nary "fferental e'uaton!: efinition and classification of differentialequations. Basic ideas solutions of differential equations, initial and boundary alueproblems. 5eie! on separable and linear equations. 6ethods of solution homo%eneousand e7act equations,

ee 2 : Bernoulli equations and other substitutions. &pplications of first order O8s:

ee 3 :9e!ton #a! of Coolin% , the free fall, electrical circuits, chemical reactions and other applications.

ee 4 : Lnear !econ" or"er or"nary "fferental e'uaton! 6t* con!tant coeffcent!: $econdorder homo%eneous differential equations. $olution of nonhomo%enous equations. 6ethodof undetermined coefficients.

ee * : 6ethod of the undetermined coefficients to hi%her order O8s up to fourth order -beambendin%0, method of ariation of parameters.

ee + :  &pplications of second order differential equations: mechanical ibrations and electricalcircuits damped and undamped free and forced ibrations, circuits !ith and !ithoutimpedance;resistance, and other applications.

ee < : Laplace tran!form!: efinition of #aplace transforms, deriation of #aplace transforms forstandard elementary functions. #inearity property, first shiftin% theorem, multiplication by tn.#aplace transforms of unit step functions.

ee = : Mid-Semester "reak

ee > : #aplace transforms of elta irac functions and periodic functions $econd shiftin%'heorem, #aplace transforms of the deriaties. ?nerse #aplace transforms, transferfunctions.

ee 1@ : Conolution theorem:. $olin% initial alue problems - ?A"0 and boundary alue problems-BA"0. $olin% simultaneoues 1st order differential equations.

ee 11 : #ourier series$ 8en and odd functions. (ourier series for periodic functions.(ourier series for een and odd functions.

ee 12 : alfran%e (ourier series. Coner%ence of (ourier series, appro7imation summation usin%(ourier series.

ee 13 : Partial differential e%uations.  Basic concepts, classifications. 6ethod of separation ofAariables for solin% heat equation -consolidation theory0.

ee 14 :

6ethod of separation of ariables and d&lembert for solin% !ae -elmholt/0 equations.

ee 1* : #aplace equations and 'ranserse Aibrations of a beam.

ee 1+1= : &evision 'eek and #inal (xamination.

REFERENCES :

Cour!e Te7t:%. &lynn 'ames, (*). Advanced Modern Engineering Mathematics, rentice +all.

Supplementary Te7t!:

. rey-i, Erwin (%//0). Advanced Engineering Mathematics, 'ohn 1iley, 2ew 3or4 (T$ 00 5 %//0)0. !troud .$ (%//6). Advanced Engineering Mathematics; 7ac7illan Ltd.

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Total Lecture (our!: )

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8.  &lan effrey -2@@20. Advanced  Engineering Mathematics,  &cademic "ress.*. 2ael et al. (8). Fundamentals of Differential Equations, *th ed., $ddison 1esley Lonman.(9$05% 200

8)6. $"d 1ahid 7d. :a;i and 7ohd 2or 7ohamad (