Week - 1 |
Indefinite integral, techniques of integration |
Week - 2 |
Area problem, definite integral |
Week - 3 |
Fundamental Theorem of Calculus, area bounded by two curves, average value of a function |
Week - 4 |
Derivation of Total Function from marginal Function, Consumer and producer surplus |
Week - 5 |
Lorenz Curve and Gini Index, Present and Future Value of Income |
Week - 6 |
Ordinary Differential Equations (Odes) of The First Order, Applications of The First-Order ODes, Homogeneous ODes of The Second Order |
Week - 7 |
Midterm |
Week - 8 |
Matrices, Systems of Linear Equations |
Week - 9 |
Definition of a graph, Konigsberg Bridge Problem, Planar Graphs, Colouring Vertices, Trees |
Week - 10 |
Structure of a Linear Programming, System of Linear Inequalities, Constraint Set, Goal Function, General Linear Programming Problem |
Week - 11 |
Graphical method of solution of Linear Programming Problem. |
Week - 12 |
Introduction to game theory |
Week - 13 |
Maximin - Minimax Strategies, lower and upper values of a game. |
Week - 14 |
Final exam |