INDIRA COLLEGE OF ENGINEERING AND MANAGEMENT
Approved By AICTE New Delhi, DTE (MS) and Affiliated to Pune University ( Id-No. PU/PN/Engg/282/2007) /
Academic Planner
SUBJECT: ENGINEERING MATHEMATICS II (107008)
(1)Unit / (2)
Topic / (3)
Pedagogy planned and tools used / (4)
Total No. of lectures planned / (5)
References / (6)
Topic to be completed by……….. / (7)
Objective / (8)
Extra inputs category wise
1 / Introduction of Differential equations, Formation of DE, Solution OF DE, using VS DE, / Black Board, Chalks, PPT / 3 / R 1 To R 9 / O-1 / Every Saturday- discussion about solving objective questions ,online practice for MCQS
. Homogeneous DE and Some Examples.
Non homogeneous DE, I.E. reducible to Homogenous DE, Some Extra Examples / Black Board, Chalks, PPT / 2 / R 1 To R 9 / O-1
Exact DE, Reducible to Exact DE All Five Type Introduction, Examples on All five Type / Black Board, Chalks, PPT / 2 / R 1 To R 9 / O-1 / Every Saturday- discussion about solving objective questions ,online practice for MCQ
Linear DE And Some Examples, Bernoullies DE And Some Examples. / Black Board, Chalks, PPT, / 2 / R 1 To R 9 / 2nd week / O-1
2 / Application OF DE
Orthogonal Trajectory
Newtons Law of Cooling / Black Board, Chalks, PPT, / 2 / R 1 To R 9 / O-1
Kirchoff’s Law of electrical circuit, Heat Conduction. / Black Board, Chalks, PPT / 2 / R 1 To R 9 / O-1
Rectilinear motion, Simple harmonic Motion, Some extra Problems Solving / Black Board, Chalks, PPT, / 3 / R 1 To R 9 / 4th week / O-1
3 / Fourier Series
Introduction, Full Range Fourier series / Black Board, Chalks, PPT, / 2 / R 1 To R 9 / O-2 / Every Saturday- discussion about solving objective questions ,online practice for MCQ
Half range Sine & Cosine Series / Black Board, Chalks, PPT, / 2 / R 1 To R 9 / O-2
Practical harmonic / Black Board, Chalks, PPT, / 2 / R 1 To R 9 / O-2
Reduction Formulae On different Trigonometric Functions, Gamma Function Definition ,Properties / Black Board, Chalks, PPT, / 3 / R 1 To R 9 / O-3
Beta Function / Black Board, Chalks, PPT, / 2 / R 1 To R 9 / 6th week / O-3
4 / Differentiation Under integral Sign, Errors Functions, / Black Board, Chalks, PPT, / 4 / R 1 To R 9 / O-3 / Every Saturday- discussion about solving objective questions ,online practice for MCQ
Curve Tracing, Tracing Of some Cartesian curve, Tracing Of Parametric curves, Tracing Of Polar curves, rose curves / Black Board, Chalks, PPT, / 4 / R 1 To R 9 / O-4
Rectification of curves / Black Board, Chalks, PPT, / 1 / R 1 To R 9 / 8th week / O-4
5 / Solid Geometry
Sphere Introduction, Tangent sphere. / Board & PPT, / 3 / R 1 To R 9 / O-5
General Cone
Right circular Cone, Right circular cylinder / Board & PPT, / 4 / R 1 To R 9 / 10th week / O-5
6 / Multiple Integral
Double integral, Double integral with Limits not Given, Change Of order / Black Board, Chalks, PPT, / 3 / R 1 To R 9 / O-6
Triple integral, Application Of Multiple integral to area and volume, / Black Board, Chalks, PPT, Models. / 3 / R 1 To R 9 / O-6 / Every Saturday- discussion about solving objective questions ,online practice for MCQ
Mean and root mean square value, Mass and CG, Moment Of Inertia / Black Board, Chalks, PPT, Models. / 3 / R 1 To R 9 / 12th week / O-5
Objectives
O-1 Modeling of various physical systems such as Newton’s law of cooling, L-R-C circuit, Rectilinear motion, Mass spring system, Heat transfer etc.
O-2 design and analysis of continuous and discrete system, where knowledge of Fourier series and harmonic analysis is required.
O-3 Advanced techniques to evaluate integrals.
O-4 Measurements of arc, length of various curves.
O-5 Sphere, cone and cylinder that arises in vector calculus, electromagnetic field theory, Cad-cam, Computer graphics etc.
O-6 Multiple integrals which are used to calculate Area, volume, surface area, RMS values, Moment of inertia, centre of gravity.
Reference book
R-1 “Advanced Engineering Mathematics” Erwin Kreyszig, Wiley Eastern Ltd.
R-2 “Advanced Engineering Mathematics”, Wylie C.R. & Barrett L.C., McGraw-Hill, Inc.
R-3 “Higher Engineering Mathematics”, B.V. Ramana, Tata McGraw-Hill.
R-4 “Advanced Engineering Mathematics”, M.D. Greenberg, Pearsons Education.
R-5 “Advanced Engineering Mathematics”, Peter V. O’Neil, Thomson Learning.
R-6 “Higher Engineering Mathematics”, B.S. Grewal, Khanna Publication, Delhi.
R-7 “Engineering Mathematics”. H.K. Das, S. Chand Publication.
R-8 “Advanced Engineering Mathematics”, R.K. Jain & S.R.K. Inyagar
R-9 “Engineering Mathematics”.P.N. Wartikar ,J.N. Wartikar, PVG Publication.
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