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Notes,quiz,blog and videos for engineering mathematics-I.It almost cover important topics chapter wiseChapter 1 DIFFERENTIAL CALCULUSttt
1.tExpansion of functions by Maclaurin's and Taylor's theorem. Partial differentiation
2.tEuler's theorem and its application in approximation and errors
3.tMaxima and Minima of function of two variables
4.tRadius of curvature
5.tcentre of curvature
Chapter 2 INTEGRAL CALCULUStt
1.tDefinite Integrals as a limit of a sumtt
2.tBeta and Gamma Functionstt
3.tdouble integralstt
4.tTriple Integralstt
5.tChange of Order of Integrationtt
6.tArea,Volume and Surfaces using double and triple Integralt
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Chapter 3 DIFFERENTIAL EQUATIONStt
Solution of Ordinary Differential Equation of first order and first degree for Exact differential Equationstt
1.tIII Exact differential equationstt
2.tLinear Differential Equations with Constant Coefficientstt
3.tCauchy's Homogeneous differential Equationtt
4.tSimultaneous differential Equationstt
5.tMethod of Variation of Parameters
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Chapter 4 MATRICEStt
1.tmatrices ranktt
2.tMatrix Determinantstt
3.tMatrix Inversett
4.tSolution of Simultaneous equation by elementary transformationtt
5.tmatrices transformationtt
6.tConsistency of System of Simultaneous Linear Equationttt
7.tEigen Values and Eigen Vectorst
8.tCayley-Hamilton Theorem and its Application to find the inverse
Chapter 5 ALGEBRA AND GRAPH THEORY
1.tBoolean Algebratt
2.tPrinciple of Dualitytt
3.tBasic Theoremstt
4.tBoolean Expressions and Functionstt
5.tElementary Concept of Fuzzy Logictt
6.tGraph thoery