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Mathematics for Economics I: Syllabus


Chapter 1: Introduction to the Topology of Euclidean space.


Chapter 2:  Limits and continuity of functions of several variables.


Chapter 3: Partial derivatives and differentiation.


Chapter 4: Higher order derivatives.




Weekly slides


Week 1: Introduction to Eucidean Space.
Week 2: Functions of several variables. Part 1. Graphs and Level Curves and Surfaces.
Week 3: Functions of several variables. Part 2. Limits.
Week 4: Functions of several variables. Part 4. Continuity.
Week 5: Functions of several variables. Part 5. Extreme points of functions.
Week 6: Partial derivatives and differentiation. Part 1.
Week 7: Partial derivatives and differentiation. Part 2.
Week 8: Partial derivatives and differentiation Part 3.
Week 9: Partial derivatives and differentiation Part 4.
Week 10: Partial derivatives and differentiation Part 5.
Week 11: Partial derivatives and differentiation Part 6.
Week 12: Quadratic Forms.
Week 13: Concave and convex functions. Definition and characterization.
Week 14: Concave and convex functions. Examples and applications.




Weekly Planning

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