Quiz
Date : 25th October 2025, Saturday, 4:30 pm - 5:15 pm,
Venue : LHC & Tutorial blocks
Syllabus : All contents of Lecture Notes 1-7, available in the link.
End-Semester Exam :
Date : 17th November 2025, Monday 5:00 pm - 7:00 pm
Venue : LHC & Tutorial blocks
End-Sem Syllabus:
Equations of lines and planes, Continuity and Differentiability of vector functions, Arc length for space curves, Unit tangent vector, Unit normal and curvature to plane and space curves, Binormal, Functions of several variables, Continuity, Partial derivatives, Differentiability, Differentiability implies continuity, Increment theorem, Chain rule, Gradient, Directional derivatives, Tangent plane and Normal line, Mixed derivative theorem, Mean value theorem, Minima and Saddle point, Necessary and sufficient conditions for Maxima, minima and Saddle point, Double Integral, Fubini's theorem, Volumes and Areas, Change of variable in double integral. Special cases: Polar coordinates, Triple integral, Applications, Change of variable in triple integral. Special cases: Cylindrical and Spherical coordinates, Surface area, Surface integral, Line integrals, Green's theorem, Vector fields Divergence and Curl of a vector field, Stoke's theorem, The divergence theorem.