Advanced Calculus For Engineers

Week 1: Differential calculus of one variable Week 2: Limit, continuity, partial derivatives of functions of two or more variables Week 3: Differentiability of functions of two or more variables Week 4: Differentiation of Homogeneous and Implicit Functions, Taylors theorem of functions of two variables Week 5: Maxima and Minima Week 6: First order ODEs Week 7: Higher order ODEs Week 8: Improper integrals Week 9: Double integrals Week 10: Triple Integrals Week 11: Vector and scalar field, gradient, divergence and curl Week 12: Line and surface integrals. Green, Stokes and Gauss divergence theorems