Q204 CH14B - OPTIMIZATION (R3)

LEVEL 1: Intuitive Understanding with Practical Computations

LEVEL 2: Complex Theoretical Understanding with Absract Development: Vector/Matrix Theory

 

LESSON 1: LOCAL EXTREMA AND SADDLE POINTS

Lesson 1: Second Derivative Test in (R3) (LIVE LESSON IN CLASS) [VIDEO LESSON]

Level 1: Class Notes

Level 2: (n - variables)

Vector/Matrix form of Partial Differentiation

Vector/Matrix form of Differentiablity and Differentials (affine approximation form)

Vector/Matrix from of Taylor's Theorem

Hessian Matrix

 

LESSON 2: ABSOLUTE EXTREMA

Lesson 2: Closed Region Test (R3) (LIVE LESSON IN CLASS) [VIDEO LESSON]

Level 1: Class Notes

Level 2: Bordered Hessian Determinant / Implicit Function Theorem

 

LESSON 3: LIMITS AND CONTINUITY

Lesson 3: PATH MATH FOR LIMITS (LIVE LESSON IN CLASS) [VIDEO LESSON]

Level 1: Class Notes

Level 2: Delta-Epison Proof (R2) and (R3)

 

LESSON 4: LAGRANGE MULTIPLIERS

Lesson 4: Lagrange Multipliers for Optimization (LIVE LESSON IN CLASS) [VIDEO LESSON]

Level 1: Class Notes

Level 2: Bordered Hessian Determinant / Implicit Function Theorem

 

 

PROBABILITY CONNECTIONS BUILDER:

Maximum Likelihood and Least Squares