Calculus for Economics,Commerce and Management MJYCE813GJ

URI	`m2://res/MJYCE813GJ`
Kind	course
Creators	Inder Kumar Rana (instructor)
Date	2018-01-26
Scope	in
Ids	course 02qyf5152:111101109

Expressions

e1: edition

Language	en
Date	2018-01-26

m1: page, IIT Bombay (record). nptel 111101109
m2: page, 2018-01-26 (record). nptel 111101109

Contents

part 1: Week 1
session 1: Lecture 1 : Introduction to the Course
session 2: Lecture 2 : Concept of a Set, Ways of Representing Sets
session 3: Lecture 3 : Venn Diagrams, Operations on Sets
session 4: Lecture 4 : Operations on Sets, Cardinal Number, Real Numbers
session 5: Lecture 5 : Real Numbers, Sequences
part 2: Week 2
session 6: Lecture 6 : Sequences, Convergent Sequences, Bounded Sequences
session 7: Lecture 7 : Limit Theorems, Sandwich Theorem, Monotone Sequences, Completeness of Real Numbers
session 8: Lecture 8 : Relations and Functions
session 9: Lecture 9 : Functions, Graph of a Functions, Function Formulas
session 10: Lecture 10 : Function Formulas, Linear Models
part 3: Week 3
session 11: Lecture 11 : Linear Models, Elasticity, Linear Functions, Nonlinear Models, Quadratic Functions
session 12: Lecture 12 : Quadratic Functions, Quadratic Models, Power Function, Exponential Function
session 13: Lecture 13 : Exponential Function, Exponential Models, Logarithmic Function
session 14: Lecture 14 : Limit of a Function at a Point, Continuous Functions
session 15: Lecture 15 : Limit of a Function at a Point
part 4: Week 4
session 16: Lecture 16 : Limit of a Function at a Point, Left and Right Limits
session 17: Lecture 17 : Computing Limits, Continuous Functions
session 18: Lecture 18 : Applications of Continuous Functions
session 19: Lecture 19 : Applications of Continuous Functions, Marginal of a Function
session 20: Lecture 20 : Rate of Change, Differentiation
part 5: Week 5
session 21: Lecture 21 : Rules of Differentiation
session 22: Lecture 22 : Derivatives of Some Functions, Marginal, Elasticity
session 23: Lecture 23 : Elasticity, Increasing and Decreasing Functions, Optimization, Mean Value Theorem
session 24: Lecture 24 : Mean Value Theorem, Marginal Analysis, Local Maxima and Minima
session 25: Lecture 25 : Local Maxima and Minima
part 6: Week 6
session 26: Lecture 26 : Local Maxima and Minima, Continuity Test, First Derivative Test, Successive Differentiation
session 27: Lecture 27 : Successive Differentiation, Second Derivative Test
session 28: Lecture 28 : Average and Marginal Product, Marginal of Revenue and Cost, Absolute Maximum and Minimum
session 29: Lecture 29 : Absolute Maximum and Minimum
session 30: Lecture 30 : Monopoly Market, Revenue and Elasticity
part 7: Week 7
session 31: Lecture 31 : Property of Marginals, Monopoly Market, Publisher v/s Author Problem
session 32: Lecture 32 : Convex and Concave Functions
session 33: Lecture 33 : Derivative Tests for Convexity, Concavity and Points of Inflection, Higher Order Derivative Conditions
session 34: Lecture 34 : Convex and Concave Functions, Asymptotes
session 35: Lecture 35 : Asymptotes, Curve Sketching
part 8: Week 8
session 36: Lecture 36 : Functions of Two Variables, Visualizing Graph, Level Curves, Contour Lines
session 37: Lecture 37 : Partial Derivatives and Application to Marginal Analysis
session 38: Lecture 38 : Marginals in Cobb-Douglas model, partial derivatives and elasticity, chain rules
session 39: Lecture 39 : Chain Rules, Higher Order Partial Derivatives, Local Maxima and Minima, Critical Points
session 40: Lecture 40 : Saddle Points, Derivative Tests, Absolute Maxima and Minima
session 41: Lecture 41 : Some Examples, Constrained Maxima and Minima

Catalogue records

nptel: 111101109 (manifestation)
nptel_video: 111101109 (manifestation)