Week - 1 |
Rotation of the coordinate axes, Vector calculus |
Week - 2 |
Gradients, Divergence & curl of vector fields |
Week - 3 |
Vector integration, Line & multiple integrals, Arc length, Surface area, Volume calculation |
Week - 4 |
Cylindrical & spherical coordinates, Gauss’ theorem, Stokes' theorem |
Week - 5 |
Complex algebra |
Week - 6 |
1st Midterm Exam |
Week - 7 |
Cauchy-Riemann conditions, Laplace equations, Exponential function |
Week - 8 |
Complex integrations, Cauchy’s integral theorem |
Week - 9 |
Singularities, Residue integration |
Week - 10 |
Conformal mapping |
Week - 11 |
Midterm 2 |
Week - 12 |
Data representation, Introduction to probability theory |
Week - 13 |
Random sampling, Point estimation of parameters, Confidence intervals, Hypotheses testing (decisions) |
Week - 14 |
Goodness of fit, Nonparametric tests, Regression, Fitting straight lines, Correlation |