Calculus For Economics,Commerce And Management

Course Duration : 8 Weeks

I.K. RANA

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(0) 10 Students

What you will learn

  • Calculus for Economics

  • Mathematics for Commerce and Management

  • Mathematics for Economics

This course is based on the coursemathematics for Economics, Commerce and Management, which was run at IITB for 8 years. Mathematical tools give a precise way of formulating and analyzing a problem and to make logical conclusions. Knowledge of mathematical concepts and tools have have become necessary for students aspiring for higher studies and career in any branch of Economics, Commerce and Management. Math for ECM aims to strengthen the mathematical foundations of students of Economics, Commerce, and Management. Professionals working in these field, wishing to upgrade their knowledge, will also benefit. The stress of the course will be on building the concepts and their applications. The main topic will be Calculus and its applications.

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Lecture 6 : Sequences, Convergent Sequences, Bounded Sequences
Preview 29:29
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Lecture 7 : Limit Theorems, Sandwich Theorem, Monotone Sequences, Completeness of Real Numbers
Preview 28:50
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Lecture 8 : Relations and Functions
Preview 31:54
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Lecture 9 : Functions, Graph of a Functions, Function Formulas
Preview 30:00
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Lecture 10 : Function Formulas, Linear Models
Preview 28:46

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Lecture 11 : Linear Models, Elasticity, Linear Functions, Nonlinear Models, Quadratic Functions
Preview 28:15
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Lecture 12 : Quadratic Functions, Quadratic Models, Power Function, Exponential Function
Preview 33:10
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Lecture 13 : Exponential Function, Exponential Models, Logarithmic Function
Preview 30:42
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Lecture 14 : Limit of a Function at a Point, Continuous Functions
Preview 31:48
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Lecture 15 : Limit of a Function at a Point
Preview 30:41

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Lecture 16 : Limit of a Function at a Point, Left and Right Limits
Preview 28:44
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Lecture 17 : Computing Limits, Continuous Functions
Preview 29:55
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Lecture 18 : Applications of Continuous Functions
Preview 27:37
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Lecture 19 : Applications of Continuous Functions, Marginal of a Function
Preview 28:14
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Lecture 20 : Rate of Change, Differentiation
Preview 27:20

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Lecture 21 : Rules of Differentiation
Preview 30:10
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Lecture 22 : Derivatives of Some Functions, Marginal, Elasticity
Preview 30:01
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Lecture 23 : Elasticity, Increasing and Decreasing Functions, Optimization, Mean Value Theorem
Preview 28:04
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Lecture 24 : Mean Value Theorem, Marginal Analysis, Local Maxima and Minima
Preview 27:59
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Lecture 25 : Local Maxima and Minima
Preview 29:06

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Lecture 26 : Local Maxima and Minima, Continuity Test, First Derivative Test, Successive Differentiation
Preview 26:56
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Lecture 27 : Successive Differentiation, Second Derivative Test
Preview 35:06
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Lecture 28 : Average and Marginal Product, Marginal of Revenue and Cost, Absolute Maximum and Minimum
Preview 24:56
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Lecture 29 : Absolute Maximum and Minimum
Preview 23:20
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Lecture 30 : Monopoly Market, Revenue and Elasticity
Preview 21:07

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Lecture 31 : Property of Marginals, Monopoly Market, Publisher v/s Author Problem
Preview 31:53
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Lecture 32 : Convex and Concave Functions
Preview 24:16
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Lecture 33 : Derivative Tests for Convexity, Concavity and Points of Inflection, Higher Order Derivative Conditions
Preview 26:13
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Lecture 34 : Convex and Concave Functions, Asymptotes
Preview 27:59
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Lecture 35 : Asymptotes, Curve Sketching
Preview 27:08

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Lecture 36 : Functions of Two Variables, Visualizing Graph, Level Curves, Contour Lines
Preview 29:49
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Lecture 37 : Partial Derivatives and Application to Marginal Analysis
Preview 27:29
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Lecture 38 : Marginals in Cobb-Douglas model, partial derivatives and elasticity, chain rules
Preview 31:03
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Lecture 39 : Chain Rules, Higher Order Partial Derivatives, Local Maxima and Minima, Critical Points
Preview 29:15
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Lecture 40 : Saddle Points, Derivative Tests, Absolute Maxima and Minima
Preview 28:30
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Lecture 41 : Some Examples, Constrained Maxima and Minima
Preview 19:14
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Meet Your Instructor
PROF. INDER KUMAR RANA
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Instructor
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About Instructor

Prof. Inder K. Rana presently is an Emeritus Fellow at Department of mathematics, IIT Bombay. He has an experience of 36 years of teaching mathematics courses to undergraduate (B. Tech) and master’s M.Sc. students at IIT Bombay. He has authored 4 books,namely,“Introduction to measure and Integration” American Mathematical Society, Graduate Studies in Mathematics Volume 45, 2000,“From Numbers to Analysis” World Scientific Press, 1998 ,Calculus @IITB: Concepts and Examples, math4all, India, 2007 “From Geometry to Algebra: A course in Linear Algebra” math4all, India, 2007.He has won three awards,“C. L. Chandna Mathematics Award” for the year 2000 in recognition of distinguished and outstanding contributions to mathematics research and teaching. The award is given by ‘SaraswatiVishvas Canada”,“Excellence in Teaching” award for the year 2004 Awarded by IIT Bombay, based on the evaluations by students."Aryabhata Award" 2012 All India Ramanujan Math Club, India, for teaching and work towards math education in India.

I.K. RANA
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Instructor
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2 Courses
About Instructor

Prof. I. K. Rana Emeritus Fellow at Department of Mathematics, IIT Bombay. I have taught couses at B.Tech, M.Sc., and Ph.D level for the last 34 years.

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Free

  • Course Duration
    19 h 29 m 19 s
  • Course Level
    Intermediate
  • Student Enrolled
    10
  • Language
    English
This Course Includes
  • 19 h 29 m 19 s Video Lectures
  • 0 Quizzes
  • 0 Assignments
  • 0 Downloadable Resources
  • Full Lifetime Access
  • Certificate of Completion