ENG_201_Higher Engineering Mathematics-I syllabus.pdf

ENG 201 CL TU PR C Higher Engineering Mathematics- I 2 1 0 3 Course Title Higher Engineering Mathematics-I Level Undergradua...

ENG 201 CL TU PR C Higher Engineering Mathematics- I 2 1 0 3 Course Title Higher Engineering Mathematics-I Level Undergraduate Credits 3 Course Category Subject Fundamental [SF] Course Prerequisite Basic Mathematics Course Co-requisite Basic Mathematics Course Nature Theory Outcome Related Course Learning Objectives: To study ordinary linear differential equation of higher order first degree & It’s CLO 1. Classification, methods to solve it in many engineering problems. To acquaint the student with the concepts of vector differentiation and CLO 2. integration needed for problems in all engineering disciplines. To develop an understanding of the standard techniques of complex variable CLO 3. theory in areas of potential theory, heat conduction, elasticity and fluid dynamics. To study different statistical and probability methods to do the analysis of the CLO 4. data of Different engineering problems. Course Outcome: Modelling of various physical systems as L-C-R circuit, whirling of shaft to find CO 1. the Solution in various problems of engineering. Impact of vector methods on physical phenomena like fluid flow, heat flow, CO 2. work done, motion in electromagnetic field. Complex algebra, complex differentiation, complex integration, conformal mapping CO 3. which has an application in Aeronautical engineering, fluid dynamics and potential theory, heat conduction, elasticity and fluid dynamics. CO 4. Statistical methods to do the analysis of collected experimental data to © School of Engineering | Ajeenkya DY Patil University  optimize the result. Different distribution of Probability and Test hypothesis to analyse the experimental data to find approximate result. Syllabus Details Unit Details C-D-I-O Hours 1 Linear differential Equations & its applications C,D,I 10 LDE of nth order with constant coefficient, Method of Variation of parameter, Cauchy’s & Legendre’s DE, Simultaneous & Symmetric simultaneous DE & its application. 2 Vector Differentiation C,I 9 Vector Differentiation, Vector differential operator, Gradient, Divergence & Curl, Directional derivatives, Solenoid, irrational /conservative fields, Scalar Potential & Vector Identities. 3 Vector Integration C,D,I 9 Line, Surface & Volume Integrals, Work-done, Green’s Lemma, Gauss Divergence Theorem, Stoke’s theorem. Application to problems in Electro Magnetic Field. 4 Complex Variables C,I 8 Functions of Complex variables, Analytic Functions, C-R Equations, Conformal Mapping, Bilinear Transformations, and Cauchy’s Integral Formula and Residue Theorem. 5 Statistics & Probability C,D,I 9 Measures of central tendency, Standard Deviation, Coefficient of variation, Moments, Skewness & Kurtosis, Correlation & Regression, Reliability of Regression estimate. Probability & Probability density function, Probability distribution: Binomial, Poisson and Normal. Test © School of Engineering | Ajeenkya DY Patil University  of hypothesis: Chi-square test Text Books SN Name of the book Author Edition / volume 1. Higher Engineering B. S. Grewal Khanna Publication Mathematics 2. Higher Engineering B.V. Ramana Tata Mc-Graw Hill Mathematics Reference Books SN Name of the book Author Edition / volume 1. Advanced Engineering H. K. Dass S. Chand Mathematics Publication 2. Advanced Engineering Erwin Kreyszig Wiley Eastern Ltd. Mathematics 3. Advanced Engineering Peter V. O'Neil Thomson Learning Mathematics 4. Advanced Engineering M. D. Greenberg Pearson Education Mathematics Course Evaluation Matrix Course PO PO PO PO PO PO PO PO PO PO PO PO PSO1 PSO2 SN Outcome 1 2 3 4 5 6 7 8 9 10 11 12 1 CO 1 2 2 2 1 1 - - - - - - - 1 - 2 CO 2 2 2 2 1 1 - - - - - - - 1 3 CO 3 2 1 1 1 1 - - - - - - - 1 4 CO 4 2 2 2 1 1 - - - - - - - 1 Weighted 2 1.75 1.75 1 1 0 0 0 0 0 0 0 1 Average Round off 2 2 2 1 1 0 0 0 0 0 0 0 1 `- average 1 = Objective addressed slightly 2= Moderately 3= Substantive PO : Program outcome © School of Engineering | Ajeenkya DY Patil University