SYLLABUS/ MECHANICAL 1ST YEAR/ KURUKSHETRA UNIVERSITY MATH-101E MATHEMATICS-I (COMMON FOR ALL BRANCHES) Theory: 100 Marks Sessional: 50 Marks Total: 150 Marks During of exam: 3 Hrs. UNIT-I APPLICATIONS OF DIFFERENTIATION : Taylor’s & Maclaurin’s series, Expansion by use of known series, Expansion by forming a differential equation, Asymptotes, Curvature, Radius of Curvature for Cartesian, Parametric & polar curves, Centre of curvature & chord of curvature, Tracing of Cartesian & polar curves (standard curves). UNIT – II PARTIAL DIFFERENTIATION & ITS APPLICATIONS : Functions of two or more variables Partial derivatives, Total differential and differentiability, Derivatives of composite and implicit functions, change of variables. Homogeneous functions, Euler’s theorem, Jacobian, Taylor’s & Maclaur...
This blog is specially developed to help mechanical engineering students, working mechanical professionals. There is multiple section to cater them. This included notes section, GATE/IES preparation section, Resume writing section and Project/thesis section.