NOC:Calculus for Economics, Commerce and Management


Lecture 1 - Introduction to the Course


Lecture 2 - Concept of a Set, Ways of Representing Sets


Lecture 3 - Venn Diagrams, Operations on Sets


Lecture 4 - Operations on Sets, Cardinal Number, Real Numbers


Lecture 5 - Real Numbers, Sequences


Lecture 6 - Sequences, Convergent Sequences, Bounded Sequences


Lecture 7 - Limit Theorems, Sandwich Theorem, Monotone Sequences, Completeness of Real Numbers


Lecture 8 - Relations and Functions


Lecture 9 - Functions, Graph of a Functions, Function Formulas


Lecture 10 - Function Formulas, Linear Models


Lecture 11 - Linear Models, Elasticity, Linear Functions, Nonlinear Models, Quadratic Functions


Lecture 12 - Quadratic Functions, Quadratic Models, Power Function, Exponential Function


Lecture 13 - Exponential Function, Exponential Models, Logarithmic Function


Lecture 14 - Limit of a Function at a Point, Continuous Functions


Lecture 15 - Limit of a Function at a Point


Lecture 16 - Limit of a Function at a Point, Left and Right Limits


Lecture 17 - Computing Limits, Continuous Functions


Lecture 18 - Applications of Continuous Functions


Lecture 19 - Applications of Continuous Functions, Marginal of a Function


Lecture 20 - Rate of Change, Differentiation


Lecture 21 - Rules of Differentiation


Lecture 22 - Derivatives of Some Functions, Marginal, Elasticity


Lecture 23 - Elasticity, Increasing and Decreasing Functions, Optimization, Mean Value Theorem


Lecture 24 - Mean Value Theorem, Marginal Analysis, Local Maxima and Minima


Lecture 25 - Local Maxima and Minima


Lecture 26 - Local Maxima and Minima, Continuity Test, First Derivative Test, Successive Differentiation


Lecture 27 - Successive Differentiation, Second Derivative Test


Lecture 28 - Average and Marginal Product, Marginal of Revenue and Cost, Absolute Maximum and Minimum


Lecture 29 - Absolute Maximum and Minimum


Lecture 30 - Monopoly Market, Revenue and Elasticity


Lecture 31 - Property of Marginals, Monopoly Market, Publisher v/s Author Problem


Lecture 32 - Convex and Concave Functions


Lecture 33 - Derivative Tests for Convexity, Concavity and Points of Inflection, Higher Order Derivative Conditions


Lecture 34 - Convex and Concave Functions, Asymptotes


Lecture 35 - Asymptotes, Curve Sketching


Lecture 36 - Functions of Two Variables, Visualizing Graph, Level Curves, Contour Lines


Lecture 37 - Partial Derivatives and Application to Marginal Analysis


Lecture 38 - Marginals in Cobb-Douglas model, partial derivatives and elasticity, chain rules


Lecture 39 - Chain Rules, Higher Order Partial Derivatives, Local Maxima and Minima, Critical Points


Lecture 40 - Saddle Points, Derivative Tests, Absolute Maxima and Minima


Lecture 41 - Some Examples, Constrained Maxima and Minima