Calculus for Business

OPMT 5701

LECTURE NOTES BY TOPIC

1.  Matrix Algebra 
2. Derivatives: First 5 Rules   
3. The Chain Rule  
4. One Variable Optimization   
5. Natural Log, e, differentials, and Implicit differentiation notes 
6. Full Notes on Natural Log and e (with optimal timing)  
7. More on differentials 
8.  Partial Derivatives
9. Partial Derivative and Implicit Function Theorem 
10. Two Variable Optimization
11. Two Variable Optimization with Economic Applications
12. Constrained Optimization
13. Examples and Applications of Lagrange
14. Application of Utility max: Hicks versus Marshall
15. Lagrange with multiple constraints (Kuhn-Tucker)  
16. Notes on Utility Maximization 

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HOMEWORK ASSIGNMENTS

Implicit Functions (Due March 18)

TIPS AND SOLUTIONS

Factoring Basics

Solving Quadratic 2 var FOC

Partial of LN and e function

2 var max Question6 -profits

Cross Partials (Fyx and Fxy)