Course 002 : Introductory Mathematical Economics

 

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Lecture Notes

Anirban Kar: Office hours: Wednesday 1 pm- 3pm

Part -1 : Calculus and Optimization

  1. Preliminaries (examples)
  2. Calculus (examples)
  3. Basic Topology
  4. Optimization (examples -corrected)

Problem Set:

Preliminaries , Bound and sequence, Basic Topology , Continuity and derivative, Optimization

Mid term 1 -solution

Readings:

  1. Simon and Blume, Part I,III, IV and VII (part no. as per first edition)
  2. Sundaram: Ch. 1 to Ch. 7
  3. Sequence, Bound

Part 2: Linear Algebra

  1. LS-1: Linear Algebra Prelims          [[Handout on Complex Numbers]]
  2. LS-2: Foundations to Linear Algebra 
  3. LS-3: Introduction to Inner Product Space    [[Examples]]
  4. LS-4: Spectral Theory
  5. LS-5: Quadratic Forms [ See:[[ Notes on Optimisation of QF ]]]

Part 3: Differential Equations

      1. LS-6: Differential Equation        [[ Notes: FODE Systems, stability, sketch]]

Note: We are using two books (only relevant parts of) –
1. Differential Equation (2nd or 3rd Ed) by Simmons
2.** Differential Equation, Dynamic Systems, and Linear Algebra (1974) by Hirsch and Smale.
Chapters – 1, 2, 3 and 4