# Quantitative Methods

This is a page of learning resources for Quantitative Methods. Enjoy!

### Limits

- Khan Academy: Introduction to Limits
- Cosmo Learning: What is a Limit?

### Calculus

##### Differentiation

- Khan Academy: Introduction to Derivatives
- Academic Earth: Derivatives and Limits
- Cosmo Learning: Finding the Derivative

##### The Total Differential

- Khan Academy: Differential Equations Introduction
- Academic Earth: Differential Calculus
- Cosmo Learning: Basic Derivative Formulas

##### The Partial Derivative

- Khan Academy: Partial Derivatives
- Academic Earth: Partial Derivatives
- Cosmo Learning: Finding Partial Derivatives

##### Product, Quotient, & Chain rules

- Khan Academy: Applying the Product Rule
- Academic Earth: Using the Chain Rule
- Cosmo Learning: Quotient Rule

##### Integration

- Khan Academy: Antiderivatives
- Academic Earth: Simple Double Integral
- Cosmo Learning: Integration by Parts

### Difference Equations

- CLU Faculty: Difference Equations

### Matrix Methods

- Khan Academy: Solving Systems
- Academic Earth: Matrix Operations
- Cosmo Learning: Cramer's Rule
- D. Hamilton (CLU):

### Linear Algebra

- Khan Academy: Vector Basics
- Cosmo Learning: Solving System o'Equations
- Other: Gilbert Stang:Linear Algebra
- D. Hamilton (CLU): Linear Systems

### Static Optimization

- K. Lesh (CLU): Static Optimization

### Dynamic Optimization

- D. Hamilton (CLU):

### Sequences

- D. Hamilton (CLU): A Note on Perpetuities

### Random Variables

- Khan Academy: Random Variables
- Academic Earth: Intro to Random Variables
- Cosmo Learning:

### Moments

- D. Hamilton (CLU): Introduction to Moments

### Expectations

- Khan Academy: Expected Value E[X] (on Youtube)

### Distributions

- Khan Academy:
- Cosmo Learning: Random Var. & Distributions

### Point Estimation

##### Method of Moments

- Other: Method of Moments

##### Maximum Likelihood

- Other: Maximum Likelihood

##### Properties of Point Estimators

- Other: Properties of Point Est.

### Confidence Interval

- Khan Academy: Confidence Interval
- Cosmo Learning: Analyzing Data-Conf. Int.

### Hypothesis Testing

- Khan Academy:
- Cosmo Learning: Hypothesis TestingApp.

### Macroeconomics

- Khan Academy:

### Microeconomics

- Khan Academy:
- Law of Supply
- Law of Demand
- Elasticity
- Perfect Competition
- Monopoly
- Oligopolies, Duopolies, Collusion, and Cartels
- Game Theory - Introduction
- Opportunity Cost
- Production Possibilities Frontier
- Marginal Utility
- Budget Line
- Indifference Crives and Marginal Rate of Substitution
- Consumer Surplus Introduction
- Producer Surplus
- Negative Externalities
- Positive Externalities
- Prisoners' Dilema and Nash Equilibrium

- Others:

### Financial Economics

Khan Academy:

- Other:

Term Structure of Interest Rates:

### Other

- Introduction to Econometrics
- Introduction to Ordinary Least Squares
- The Classical Linear Model
- The Simple Linear Regression Model
- The Multiple Linear Regression Model
- Inference in Regression Models
- Generalized Least Squares - Introduction
- Maximum Liklihood Estimation
- Heteroskedasticity
- Serial Correlation

### Mathematics

- Intro to Mathematical Proofs

### Math

- Fundamental Methods of Mathematical Economics, Alpha C. Chiang

This is a good introductory or review math text for economic students. The author does an excellent job of introducing a wide range of mathematical concepts that all serious economists need. We strongly recommend that all MSQE students purchase this textbook. Get an older edition off Amazon to save money.

- Mathematics for Economics, Carl P. Simon and Lawrence Blume

This is an advanced text, generally regarded as a Ph. D. level. We recommend this book to students who wish to pursue a Ph.D. in Economics.

### Microeconomics

- Intermediate Microeconomics: A Modern Approach, Hal R. Varian

This is a text usually taught at the undergraduate (junior) level. The author does an excellent job of providing economic intuition. All MSQE students should be familiar with the topics in this book. We encourage students to get this book and review it before starting the program if they have not had a course like this before. There is an intuition that accompanies the math used at the graduate level, and this book is an excellence source for this intuition. Get an older edition off Amazon to save money.

- Microeconomic Calculus, Brian Binger and Elizabeth Hoffman

An advanced text that incorporates calculus. This book focuses on theory rather than applications. An excellent text book to have if a Ph.D. is the final goal.

- The Structure of Economics, Eugene Silberberg and WingSuen

This book is a great companion piece to Intermediate Microeconomics: A Modern Approach. The text takes the intuition in Intermediate Microeconomics: A Modern Approach and adds calculus. This is an excellent auxiliary microeconomic text for MSQE students. Get an older edition off Amazon to save money.

- Microeconomics Analysis, Hal R. Varian

This is a Ph.D. level text in Microeconomics, written by a professor famous for brevity.

### Statistics and Econometrics

- Statistics, Robert Pisani and Roger Purves

A respected elementary statistics text that is written by a leading thinker in the field of statistics, David Freedman.

- Mathematical Statistics and Data Analysis, John A. Rice

A very good intermediate statistical textbook. This is not an econometrics text. Rather, it introduces students to probability and statistics used in econometrics. The book uses a lot of integral calculus. This would be handy reference for MSQE students who have not seen this kind of material before.

- Using Econometrics: A Practical Guide, A. H. Studenmund

A very good introductory econometrics text. This book is light on the math but has excellent intuition. The author does an excellent job of introducing econometrics to first time readers. We recommend this text to MSQE students who have not had econometrics before.

- A Guide to Econometrics, Peter Kennedy

An essential companion for students of graduate econometrics. Explains what is going on in textbooks full of proofs and formulas with intuition, skepticism, insights, humor, and practical advice.

- Econometric Analysis, William H. Greene

A Ph.D. level text, encyclopedic if not intuitive. We recommend this book to students who wish to pursue a Ph.D. in Economics.

- Financial Econometrics, S.T. Rachev, S. Mittnik, F.J. Fabozzi, S.M. Focardi, and T. Jasic

This is a hybrid masters/Ph.D. level text that focuses on financial econometrics. It has some nice explanations of certain technical topics, and would be of interest to MSQE students with an interest in the world of finance.

### Macroeconomics

- Macroeconomics: A European Text, Michael Burda and Charles Wyplosz

This is an intermediate undergraduate text with excellent theory, intuition, and examples using macroeconomic data from countries around the world. It covers many topics, including newly developed research. Early editions (1 and 2) are better, the appendices have the math behind the analysis which is key if you actually want to understand Macro.

- Money, Banking, and Financial Markets, Frederick Mishkin

An undergraduate book that contains necessary Financial Markets background information for understanding the study of graduate-level macroeconomic theory. Get this, a used one, if you have not had a “Money and Banking” course before, and read it prior to Macro II.

- Macroeconomic Theory: A Dynamic General Equilibrium Approach, Michael Wickens

This is a Ph.D. level text with early chapters that are done in the MSQE program.

- Monetary Theory and Policy, Carl E. Walsh

A Ph.D. or masters level Monetary Policy text. Material on the Term Structure of Interest Rates and Inflation Expectations from this text has been used in the MSQE program in earlier years. Contains excellent sections on Fiscal Dominance and related topics.