NEXT

• Week 1:The Riemann-Stieltjes Integrals: Definition and existence of integrals, Properties of integrals
• Week 2: Real Valued Functions of Several Variables
• Week 3: Continuous real valued functions, Partial derivatives and differentials
• Week 4: Geometric interpretation of differentiability, Chain rule, Taylor’s theorem. Maxima and Minima
• Week 5: Vector Valued Functions of Several Variables Linear transformations and matrices
• Week 6: Continuous and differentiable transformations, Chain rule for transformations
• Week 7: Inverse function theorem, Implicit function theorem, Jacobians, Method of Lagrange multipliers
• Week 8: Functions of Bounded Variation: Definition and examples, properties of functions of bounded variation
• Week 9: Mid Term Examination
• Week 10: Improper Integrals: Types of improper integrals
• Week 11: Tests for convergence of improper integrals
• Week 12: Absolute and conditional convergence of improper integrals
• Week 13: Sequences and Series of Functions: Power series
• Week 14: Definition of point-wise and uniform convergence
• Week 15: Uniform convergence and continuity
• Week 16: Uniform convergence and differentiation
• Week 17: Examples of uniform convergence
• Week 18: Final Term Examination