Economics

Economics

Economics slides

Pearson Education Materials

PowerPoint Lecture Notes

These lecture notes have been generously provided by Pearson Education and are a small selection of the resources available on the CD-Rom that accompanies the following books: Economics (5th edition), Essentials of Economics (3rd edition) and The Economic Environment of Business (1st edition), all by John Sloman, and Economics for Business (3rd edition) by John Sloman and Mark Sutcliffe.

Each presentation builds up as a series of PowerPoint slides and gives full information on all the areas covered by that chapter of the book. The presentations are suitable for PowerPoint Versions 97, 2000, XP and 2003. Select the presentation that you would like to download, though do be aware that some of the files are quite large. If you have any problems downloading the presentations then try right clicking on the links and choosing the 'Save As' option. If you do not have PowerPoint then you may like to downloadMicrosoft's PowerPoint Viewer, which will allow you to view PowerPoint presentations.

Supply and demand [921 KB]	Economics: Chapter 2
Supply and demand and government intervention in the market [2 MB]	Economics: Chapter 3
Background to demand [876 KB]	Economics: Chapter 4
Background to supply [1.1 MB]	Economics: Chapter 5
Imperfect competition [729 KB]	Economics: Chapter 7
Inequality and the redistribution of income [1.1 MB]	Economics: Chapter 10
Markets, efficiency and the public interest [996 KB]	Economics: Chapter 11
Applied microeconomics [808 KB]	Economics: Chapter 12
Unemployment and inflation [960 KB]	Economics: Chapter 14
The roots of modern macroeconomics [480 KB]	Economics: Chapter 16
Short-run macroeconomic equilibrium [869 KB]	Economics: Chapter 17
Relationship between money and goods markets [928 KB]	Economics: Chapter 19
Fiscal and monetary policy [1.2 MB]	Economics: Chapter 20
Aggregate supply, unemployment and inflation [888 KB]	Economics: Chapter 21
Long-term economic growth and supply-side policies [992 KB]	Economics: Chapter 22
Economic problems of developing countries [537 KB]	Economics: Chapter 26
Some techniques of economics analysis [733 KB]	Economics: Appendix

eCommerce Technologies and Infrastructures

eCommerce Technologies and Infrastructures

• Application architectures
• Database systems
• System administration
• Software development
• Detailed Table of Contents
• Printable Notes

Dynamics and Control I

Dynamics and Control I

Multiple frames of reference help explain the position, velocity and acceleration of a spider on a spinning frisbee. See the video for lecture 2 and the reading on kinematics for more on this introductory problem. (Frisbee photo courtesy of Crys Mascarenas; spider photo courtesy of B. Smith. Collage by MIT OpenCourseWare.)

Course Description

This class is an introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Topics include kinematics; force-momentum formulation for systems of particles and rigid bodies in planar motion; work-energy concepts; virtual displacements and virtual work; Lagrange's equations for systems of particles and rigid bodies in planar motion; linearization of equations of motion; linear stability analysis of mechanical systems; free and forced vibration of linear multi-degree of freedom models of mechanical systems; and matrix eigenvalue problems. The class includes an introduction to numerical methods and using MATLAB® to solve dynamics and vibrations problems.

This version of the class stresses kinematics and builds around a strict but powerful approach to kinematic formulation which is different from the approach presented in Spring 2007. Our notation was adapted from that of Professor Kane of Stanford University.

Download Course Materials

2-003JFall-2007.zip (ZIP - 4.82 MB)

Click the link above to start downloading this course.

Video Lectures

Special software is required to use some of the files in this section: .rm.

This page presents videos for the first half of the class lectures. These lectures are particularly important because they contain the new kinematics approach.

Note: video is not available for Lecture 6.

Disclaimer from Professor Sarma: A lecture is like a live performance – there are no retakes. So when you watch these videos, please keep in mind that I am human, and I make mistakes. For example, at minute 12 of the video of Lec #2 I make a mistake when I describe why the earth is an approximate inertial frame. What I mean to say is that the Earth, though moving, is accelerating relatively slowly with respect to some imaginary but real inertial frame when compared with, say a space-craft. So we treat it as an inertial frame, and experiments show that that is a good approximation. That's not how I say it in the video, but the students did understand what I meant because the staff of the class interact with the students in a number of ways. So watch these videos but stay alert – and keep in mind that besides making mistakes, I also sometimes joke with my students.

LEC #	TOPICS	VIDEOS
1	Course information Begin kinematics: frames of reference and frame notation	(RM - 56K) (RM - 220K)
2	The "spider on a Frisbee" problem Kinematics using first principles: "downconvert" to ground frame	(RM - 56K) (RM - 220K)
3	Pulley problem, angular velocity, magic formula	(RM - 56K) (RM - 220K)
4	Magic and super-magic formulae	(RM - 56K) (RM - 220K)
5	Super-magic formula, degrees of freedom, non-standard coordinates, kinematic constraints	(RM - 56K) (RM - 220K)
6	Single particle: momentum, Newton's laws, work-energy principle, collisions
7	Impulse, skier separation problem	(RM - 56K) (RM - 220K)
8	Single particle: angular momentum, example problem Two particles: dumbbell problem, torque	(RM - 56K) (RM - 220K)
9	Dumbbell problem, multiple particle systems, rigid bodies, derivation of torque = I*alpha	(RM - 56K) (RM - 220K)
10	Three cases, rolling disc problem	(RM - 56K) (RM - 220K)

Dynamics

Dynamics

 

Level:

Graduate

Instructors:

Prof. George Haller

Course Features

Course Highlights

Course Description

A cart and a rolling disk are connected by a rigid massless link of length L. The disk rolls without slipping. What's the force in the link? See Problem Set 9. (Figure by Prof. George Haller.)

Course Features

• Lecture notes
• Assignments and solutions
• Exams (no solutions)

Course Highlights

This course features a student's complete lecture notes, as well as problem setsand exams with solutions.

Course Description

This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane; nonholonomic systems; and an introduction to wave propagation in continuous systems.

LEC #	TOPICS	LECTURE NOTES
1	Course Overview Single Particle Dynamics: Linear and Angular Momentum Principles, Work-energy Principle	(PDF)
2	Examples of Single Particle Dynamics	(PDF)
3	Examples of Single Particle Dynamics (cont.)	(PDF)
4	Dynamics of Systems of Particles: Linear and Angular Momentum Principles, Work-energy Principle	(PDF)
5	Dynamics of Systems of Particles (cont.): Examples Rigid Bodies: Degrees of Freedom	(PDF)
6	Translation and Rotation of Rigid Bodies Existence of Angular Velocity Vector	(PDF)
7	Linear Superposition of Angular Velocities Angular Velocity in 2D Differentiation in Rotating Frames	(PDF)
8	Linear and Angular Momentum Principle for Rigid Bodies	(PDF)
9	Work-energy Principle for Rigid Bodies	(PDF)
10	Examples for Lecture 8 Topics	(PDF)
11	Examples for Lecture 9 Topics	(PDF)
12	Gyroscopes: Euler Angles, Spinning Top, Poinsot Plane, Energy Ellipsoid Linear Stability of Stationary Gyroscope Motion	(PDF)
13	Generalized Coordinates, Constraints, Virtual Displacements	(PDF)
14	Exam 1
15	Generalized Coordinates, Constraints, Virtual Displacements (cont.)	(PDF)
16	Virtual Work, Generalized Force, Conservative Forces Examples	(PDF)
17	D'Alembert's Principle Extended Hamilton's Principle Principle of Least Action	(PDF)
18	Examples for Session 16 Topics Lagrange's Equation of Motion	(PDF)
19	Examples for Session 17 Topics	(PDF)
20	Lagrange Multipliers, Determining Holonomic Constraint Forces, Lagrange's Equation for Nonholonomic Systems, Examples	(PDF)
21	Stability of Conservative Systems Dirichlet's Theorem Example	(PDF)
22	Linearized Equations of Motion Near Equilibria of Holonomic Systems	(PDF)
23	Linearized Equations of Motion for Conservative Systems Stability Normal Modes Mode Shapes Natural Frequencies	(PDF)
24	Example for Session 23 Topics Orthogonality of Modes Shapes Principal Coordinates	(PDF)
25	Damped and Forced Vibrations Near Equilibria	(PDF)

Dynamic Programming and Stochastic Control

Dynamic Programming and Stochastic Control

Label correcting methods for shortest paths. See lecture 4 for more information. (Figure by MIT OpenCourseWare, adapted from course notes by Prof. Dimitri Bertsekas.)

Course Highlights

This course features a complete set of lecture notes, as well as assignments andexams with solutions.

Course Description

This course covers the basic models and solution techniques for problems of sequential decision making under uncertainty (stochastic control). We will consider optimal control of a dynamical system over both a finite and an infinite number of stages (finite and infinite horizon). We will also discuss some approximation methods for problems involving large state spaces. Applications of dynamic programming in a variety of fields will be covered in recitations.

Lecture Notes

This section includes the complete lecture notes from Fall 2008, based on the third edition of the course textbook, both as one file and broken down by session. For reference, it also includes the complete lecture notes from Fall 2003, based on the second edition of the textbook.

Complete Lecture Slides

Complete slides, Fall 2008 (PDF - 2.4 MB)

Complete slides, Fall 2003 (PDF - 1.9 MB)

Lecture Slides by Session

SES #	TOPICS
1	Introduction to dynamic programming; examples and formulation (PDF)
2	The dynamic programming algorithm (PDF)
3	Deterministic systems and the shortest path problem (PDF)
4	Shortest path algorithms (PDF)
5	Deterministic continuous-time optimal control (PDF)
6	Stopping and scheduling problems (PDF)
7	Linear systems with quadratic costs and inventory control (PDF)
8	Problems with imperfect state information (PDF)
9	Sufficient statistics (PDF)
10	Suboptimal control (PDF)
11	Rollout algorithms (PDF)
12	More on suboptimal control (PDF)
13	Infinite horizon I: stochastic shortest path problems (PDF)
14	Infinite horizon II: discounted problems (PDF)
15	Infinite horizon III: average cost problems (PDF)
16	Semi-Markov problems (PDF)
17	Infinite horizon: discounted problems I (PDF)
18	Infinite horizon: discounted problems II (PDF)
	Midterm
19	Stochastic shortest path problems (PDF)
20	Overview of main approaches in approximate dynamic programming (PDF) Detailed outline for approximate dynamic programming, lectures 20-25 (PDF)
21	Cost approximation: discounted cost (PDF)
22	Projected equation methods (PDF)
23	More on projected equations: Q-learning (PDF)
24	Extensions to stochastic shortest path and average cost (PDF)
25	Gradient methods for approximation in policy space (PDF)
26	Project presentations I
27	Project presentations II