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
