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Math 20 - Introduction to Linear Algebra and Multivariable Calculus
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Note that the schedule listed below is subject to change. Check back during the term to make sure you are aware of the current course schedule. Note that sections in the last two weeks of the course labeled "LGR" are found in the Lial, Greenwell, and Ritchey calculus textbook. The acronym "PCRA" stands for Pre-Class Reading Assignment. These assignments can be found in the Q&A Tool.

To open the Mathematica notebooks listed below, right-click the links, select "Save As...", save the notebook to your computer, start Mathematica, then open the notebook from within Mathematica.

Week Date Topic Assignment Due
1 02/02/05 Introduction and Overview
Worksheet 		 
02/04/05 §1.1 Systems of Linear Equations
Worksheet 		PCRA §1.1
2 02/07/05 §1.2 Row Reduction and Echelon Forms PCRA §1.2
02/09/05 §1.3 Vector Equations PCRA §1.3
02/11/05 The Assignment Problem and the Hungarian Method
Worksheet / Lecture Notes 		Problem Set 1
3 02/14/05 §1.4 The Matrix Equation Ax=b
Worksheet / Solutions 		PCRA §1.4
02/16/05 Catch-Up  
02/18/05 §1.5 Solution Sets of Linear Equations
Worksheet 		PCRA §1.5
Problem Set 2
4 02/21/05 No Class (Presidents Day)  
02/23/05 §1.6 Applications of Linear Systems
Worksheet / Solutions 		PCRA §1.6
02/25/05 §1.7 Linear Independence
Worksheet / Solutions 		PCRA §1.7
Problem Set 3
5 02/28/05 §1.8 Introduction to Linear Transformations
§1.9 The Matrix of a Linear Transformation
Handout 		PCRA §1.8
PCRA §1.9
03/02/05 Two-Person Zero-Sum Games
Lecture Notes / Worksheet 		 
03/04/05 §2.1 Matrix Operations Problem Set 4
PCRA §2.1
6 03/07/05 §2.2 Inverse of a Matrix PCRA §2.2
03/09/05 §2.3 Characterizations of Invertible Matrices Problem Set 5
PCRA §2.3
03/11/05 §2.6 The Leontief Input-Output Model PCRA §2.6
7 03/14/05 Midterm One (covers through §2.1)
Review Guide / Solutions 		 
03/16/05 §2.8 Subspaces of Rn
PRS Questions / PRS Solutions / Lecture Notes 		 
03/18/05 §2.9 Dimension and Rank Problem Set 6
PCRA §2.9
8 03/21/05 §4.9 Markov Chains
Worksheet 		PCRA §4.9
03/23/05 §5.1 Eigenvectors and Eigenvalues PCRA §5.1
03/25/05 §5.2 The Characteristic Equation PCRA §5.2
9 03/28/05 No Class (Spring Recess)  
03/30/05 No Class (Spring Recess)  
04/01/05 No Class (Spring Recess)  
10 04/04/05 §5.3 Diagonalization Problem Set 7
PCRA §5.3
04/06/05 §5.3 Diagonalization  
04/08/05 §5.6 Discrete Dynamical Systems
Lecture Notes 		Problem Set 8
11 04/11/05 Tour of Mathematica
Mathematica Worksheet 		Project Abstract
04/13/05 Least-Squares Lines Day One
Mathematica Notebook / Data File 		 
04/15/05 Least-Squares Lines Day Two Problem Set 9
12 04/18/05 Linear Programming  
04/20/05 The Simplex Method
Mathematica Notebook 		Problem Set 10
04/22/05 Midterm Review Project Rough Draft
13 04/25/05 Midterm Two (covers through §6.6)
Review Guide / Solutions 		 
04/27/05 LGR §9.1 Functions of Several Variables PCRA LGR §9.1
04/29/05 LGR §9.2 Partial Derivatives Problem Set 11
PCRA LGR §9.2
14 05/02/05 LGR §9.3 Maxima and Minima  
05/04/05 LGR §9.4 Lagrange Multipliers  
05/06/05 LGR §9.4 Lagrange Multipliers
Lecture Notes / Mathematica Notebook 		Final Project

Friday, May 13th -- Project Poster Session

Friday, May 27th -- Final Exam


Page maintained by Derek Bruff (bruff [at] fas.harvard.edu).
Last updated on May 24, 2005.
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