CVPDE|3140610|Syllabus

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Complex Variables and Partial Differential Equations(3140610) Syllabus
3140610 Subject Name?
3140610 Syllabus
Gtu Syllabus
Gtu Complex Variables and Partial Differential Equations Syllabus

Branch:Civil Engineering
Sem:4
Subject_Name:Complex Variables and Partial Differential Equations(3140610)
Subject_Credits:5

Complex Variables and Partial Differential Equations(3140610)-Syllabus

Chap_no Topic Weightage
1. Polar Form of Complex Numbers, Powers and Roots, Complex Variable – Differentiation : Differentiation, Cauchy-Riemann equations, analytic functions, harmonic functions, finding harmonic conjugate; elementary analytic functions (exponential, trigonometric, logarithm) and their properties; Conformal mappings, Mobius transformations and their properties. 28%
2. Complex Variable - Integration : Contour integrals, Cauchy-Goursat theorem (without proof), Cauchy Integral formula (without proof), Liouville’s theorem and Maximum-Modulus theorem (without proof); Sequences, Series, Convergence Tests, Power Series, Functions Given by Power Series, Taylor and Maclaurin Series, Uniform Convergence. 20%
3. Laurent’s series; Zeros of analytic functions, singularities, Residues, Cauchy Residue theorem (without proof), Residue Integration Method, Residue Integration of Real Integrals. 14%
4. First order partial differential equations, solutions of first order linear and nonlinear PDEs, Charpit’s Method 14%
5. Solution to homogeneous and nonhomogeneous linear partial differential equations second and higher order by complementary function and particular integral method. Separation of variables method to simple problems in Cartesian coordinates, second-order linear equations and their classification, Initial and boundary conditions, Modeling and solution of the Heat, Wave and Laplace equations 24%

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Air content,1,application of flow net,1,basic civil engineering gtu paper solution,1,BCT gtu Summer 2020 paper solution,1,BCT winter 2020 gtu paper solution,1,BE First year,3,block brack,1,BME (3110006)PAPER,1,BME PAPER,1,brack thermal efficiency sums,1,brick bond,1,BRTS and Metro,1,btp gtu paper solution,1,btp summer 2020 gtu paper solution,1,btp winter 2020 paper,1,Building Construction Technology,1,building services,1,Bulk Unit weight,1,centrifugal pump,1,chaining on plane ground,1,characteristic of flow net,1,civil branch,4,Classification OF AIR COMPRESSORS,1,CLASSIFICATION OF I.C. ENGINES,1,computer branch,4,Computer Graphics(3150712) GTU Paper Solution winter2020,1,cone clutch and centrifugal clutch,1,consolidation,1,constitution,1,coupling and clutch,1,cpdp paper solution summer 2017,1,CPDP PAPER SOLUTION SUMMER 2018,1,cpdp paper solution summer 2019,1,data structure winter 2020,1,database management system summer 2020 paper solution,1,database management system winter 2019 paper solution,1,Define the Amendment of the Constitution,1,Difference between active earth pressure and Passive earth pressure,1,difference between compaction and consolidation,1,difference between two specific heats of gases is equal to its characteristic gas constant.,1,Diffrence between Rajya sabha and Lok sabha,1,digital fundamental winter 2020 gtu paper solution,1,DOS Winter 2020 paper solution,1,Ductility,1,Earthquake Engineering-3160621 Gtu paper solution,1,effects of financial emergency.,1,Elasticity,1,Environmental Engineering Gtu Papers solution,1,factor affecting compaction,1,factor affecting permiability of soils,1,five important amendments of the Indian Constitution.,1,flow net,1,Foundation Engineering GTU paper solution,1,four stroke petrol engine,1,Fundamental duties,1,fundamental right to freedom as contained in Indian Constitution.,1,Fundamental rights guaranteed by the Constitution of India.,1,Gandhian Principles in Directive Principles of State Policy.,1,gas constant and universal constant,1,Ge gtu winter 2020 paper solution,1,geological cycle,1,gtu ge 3130606,1,gtu ge paper solution,1,gtu ge syllabus,1,gtu Ge-3130606 winter 2019 paper solution,1,gtu geotechnical engineering,1,gtu sct paper solution,1,GTU SOLVED PAPER,2,Hardness,1,heritage structures,1,IC Gtu papers solution,1,IC-3130007 gtu summer 2020 paper solution,1,IC-3130007 gtu winter 2019 paper solution,1,Key features of Indian Constitution.,1,linear measurement,1,mass transportation system,1,meaning of right to life under Article 21.,1,methods of levelling,1,mos gtu summer 2020 paper solution,1,MOS Gtu winter 2020 paper solution,1,MOS|Mechanics of solid,1,National emergency in detail.,1,nominal dimension door and window,1,Plasticity and Malleability,1,porosity,1,properties of gases sums,1,Prove that the efficiency of Otto cycle is greater than that of Diesel cycle for the same compression ratio.,1,quadrantal bearing,1,rain water harvesting,1,reasons for incorporating Emergency Provisions.,1,Relate the directive principles with their appropriate category.,1,remote sensing,1,right to freedom of religion.,1,role of Local Government.,1,SA2 GTU Winter 2020 paper solution,1,scope of geotechnical engineering,1,shoe brack,1,singly rcc beam sums,1,smart city,1,soil classification,1,Solar Energy,1,solid waste management,1,Specific gravity,1,spur gear,1,standard proctor test and modified proctor test,1,status of President of India,1,steam separator,2,steam trap,1,sums of Geotechnical engineering,1,terzaghi's one dimensional consolidation,1,Toughness,1,types of belt drive,1,Unit weight of solids,1,Vapour Compression Refrigeration Syestem,1,void ratio,1,water content,1,whole circle bearing,1,wre&h gtu paper,1,
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CVPDE|3140610|Syllabus
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