MA 103 Mathematics I 2 0 2 6
Review of the prerequisites such as limits of sequences and functions, continuity, uniform continuity and differentiability. Rolle’s theorem, mean value theorems and
Review of vectors. Cylinders and quadric surfaces. Vector functions of one variable and their derivatives.
Partial derivatives. Chain rule. Gradient, directional derivative. Tangent planes and normals. Maxima, minima, saddle points. Lagrange multipliers. Exact differentials.
Repeated and multiple integrals with applications to volume, surface area, moments of intertia etc.