Mathematical Economics ECN3083 L, Kudebayeva Alma

Topic outline

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  General

  • Announcements Forum
  • CV File
  • Questions Forum
  • Office hours Page
  • book URL
  • Syllabus File
  • Zoom link to the lectures URL
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  Topic 1: Economic Models. Equilibrium Analysis in Economics.

  1. Economic Models.

  2. Equilibrium analysis.

  3. Matrices and their application in economic models

  • Lecture Notes URL
  • Numerical Example URL
  • Lecture Notes File
  • Numerical Example File
  • Problems_Equilibrium URL
  • Matrix analysis URL
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  Topic 2: Comparative Statics and the Concept of Derivative, Rules of Differentiation and Their Use in Comparative Statics. Comparative Static Analysis.

  • Lecture1 File
  • Numerical example File
  • Lecture 2 File
  • Application to economics File
  • The chapters covered at the midterm #1 Page
  • Preparation to the midterm URL
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  Topic 3: Analyis of General Function Models. Application to Economic Variables.

  • Lecture File
  • Numerical Example File
  • Implicit function differentiation File
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  Topic 4: Optimization Problems: A Special Variety of Equilibrium Analysis.

  • Lecture File
  • Lecture on optimization File
  • Chapter #9 File
  • Chapter #10 File
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  Topic 5: The Case of More than One Choice Variable. Application to Economic Models.

  • Numerical Examples File
  • Lecture File
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  Midterm exam #2 , November 18

  • Preparation to the midterm exam #2 File
  • Sample of problems for midterm #2 File
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  Topic 6: Constrained optimization. Optimization with Equality Constraints. Lagrange Multiplier Method. Total-Differential Approach. Second order conditions. The Bordered Hessian. An application to Economic Models
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  Preparation to Final exam

  • Preparation to the final exam_problems File
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  Final exam last week of classes