Lectures - Calculus

Site:	MyCourses
Course:	ECON-E6000 - Math Camp, Lecture, 23.8.2021-2.9.2021
Book:	Lectures - Calculus

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Date:	Sunday, 2 March 2025, 4:18 AM

Description

Problem Set 3

Table of contents

1. Introduction
2. First Order Conditions
3. The Mean Value Theorem
4. Second Order Conditions
5. Directional Derivatives
6. Optimization in R^n
- 6.1. Quadratic Forms
- 6.2. Example
7. The Implicit Function Theorem

1. Introduction

2. First Order Conditions

First order conditions

3. The Mean Value Theorem

4. Second Order Conditions

5. Directional Derivatives

Directional Derivatives

6. Optimization in R^n

Crit Points in R^m

6.1. Quadratic Forms

Quadratic Forms

6.2. Example

FOCs and SOCs - Example

7. The Implicit Function Theorem

7.1. Application - The Inverse Function Theorem

7.2. Application - Equality Constraints

IFT - Lagrange Multipliers

7.3. Example - Constrained Optimization

Multipliers Example