Lecture 6 : Sequences, Convergent Sequences, Bounded Sequences

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

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Lecture 8 : Relations and Functions

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

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Lecture 10 : Function Formulas, Linear Models

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

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

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Lecture 13 : Exponential Function, Exponential Models, Logarithmic Function

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

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Lecture 15 : Limit of a Function at a Point

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

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Lecture 17 : Computing Limits, Continuous Functions

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Lecture 18 : Applications of Continuous Functions

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

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Lecture 20 : Rate of Change, Differentiation

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Lecture 21 : Rules of Differentiation

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Lecture 22 : Derivatives of Some Functions, Marginal, Elasticity

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

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

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Lecture 25 : Local Maxima and Minima

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

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Lecture 27 : Successive Differentiation, Second Derivative Test

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

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Lecture 29 : Absolute Maximum and Minimum

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Lecture 30 : Monopoly Market, Revenue and Elasticity

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

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Lecture 32 : Convex and Concave Functions

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

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Lecture 34 : Convex and Concave Functions, Asymptotes

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Lecture 35 : Asymptotes, Curve Sketching

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

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Lecture 37 : Partial Derivatives and Application to Marginal Analysis

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

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

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

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Lecture 41 : Some Examples, Constrained Maxima and Minima

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