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Mathematics for Economics - I

Prof. Debarshi Das · IIT Guwahati

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About

This is a basic course on application of mathematical techniques in economics. Students of science or engineering background would find it helpful since they have grounding in mathematics. The course will enable them to explore the subject of economics. If they want to branch out to economics or finance this course would give them training of the kind of mathematical applications used in these subjects. Students of economics and other social sciences would also benefit from this course.

Intended audience: Undergraduate students

Prerequisites: Mathematics in the 10+2 level is prerequisite

Lectures

Week 1: Preliminaries

  1. Lec 1: Aim of the course, real numbers YouTube
  2. Lec 2: Logic, proof YouTube

Week 2: Sets

  1. Lec 3: Definitions YouTube
  2. Lec 4: Set operations YouTube

Week 3: Functions

  1. Lec 5: Definitions YouTube
  2. Lec 6: Linear functions YouTube
  3. Lec 7: Quadratic functions YouTube
  4. Lec 8: Exponential functions, etc. YouTube

Week 4: Differentiation

  1. Lec 9: Differentiation: preliminaries YouTube
  2. Lec 10: Rules of differentiation YouTube
  3. Lec 11: Partial differentiation YouTube

Week 5: Differentiation: properties

  1. Lec 12: Higher order differentiations YouTube
  2. Lec 13: Approximations and elasticities YouTube

Week 6 : Continuity, differentiability, series

  1. Lec 14: Differentiability, series, PDV YouTube
  2. Lec 15: NPV, evaluation of investment projects YouTube
  3. Lec 16: Exponential, logarithmic functions YouTube
  4. Lec 17: Tutorials - 1a YouTube
  5. Lec 18: Tutorials - 1b YouTube
  6. Lec 19: Tutorials - 1c YouTube

Week 7

  1. Lec 20: Extreme, stationary points, first derivative test YouTube
  2. Lec 21: Global and local extreme points YouTube

Week 08: Single variable optimization 2

  1. Lec 22: Second derivative test YouTube
  2. Lec 23: Inflection points YouTube
  3. Lec 24: Profit maximizations YouTube

Week 9

  1. Lec 25: Area under a curve, indefinite integral YouTube
  2. Lec 26: Definite integral YouTube

Week 10

  1. Lec 27: Oil extraction, income distribution, PDV YouTube
  2. Lec 28: Integration by parts, substitution, Lorenz curve YouTube

Week 11: Difference equations 1

  1. Lec 29: First order difference equations, solution YouTube
  2. Lec 30: Dynamic stability, Cobweb model YouTube

Week 12 : Difference equations 2

  1. Lec 31: Market model with inventory, Phase diagrams, Higher order equations YouTube
  2. Lec 32: Multiplier-acceleration model YouTube
  3. Lec 33: Tutorials - 2a YouTube
  4. Lec 34: Tutorials - 2b YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Guwahati
Department
Humanities and Social Sciences
Teacher
Prof. Debarshi Das
Level
Undergraduate
Language
English
Subjects
Society and politics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
Who can watch
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