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Graphing and Writing Linear Functions
SOLVING EQUATIONS INVOLVING RATIONAL EXPONENTS
Linear Equations and Graphing
Systems of Linear Equations
Solving Polynomial Equations
Matrix Equations and Solving Systems of Linear Equations
Introduction Part II and Solving Equations
Linear Algebra
Graphing Linear Inequalities
Using Augmented Matrices to Solve Systems of Linear Equations
Solving Linear Inequalities
Solution of the Equations
Linear Equations
Annotated Bibliography of Linear Algebra Books
Write Linear Equations in Standard Form
Graphing Linear Inequalities
Introduction to Linear Algebra for Engineers
Solving Quadratic Equations
THE HISTORY OF SOLVING QUADRATIC EQUATIONS
Systems of Linear Equations
Review for First Order Differential Equations
Systems of Nonlinear Equations & their solutions
LINEAR LEAST SQUARES FIT MAPPING METHOD FOR INFORMATION RETRIEVAL FROM NATURAL LANGUAGE TEXTS
Quadratic Equations
Syllabus for Differential Equations and Linear Alg
Linear Equations and Matrices
Solving Linear Equations
Slope-intercept form of the equation
Linear Equations
DETAILED SOLUTIONS AND CONCEPTS QUADRATIC EQUATIONS
Linear Equation Problems
Systems of Differential Equations
Linear Algebra Syllabus
Quadratic Equations and Problem Solving
LinearEquations
The Slope-Intercept Form of the Equation
Final Exam for Matrices and Linear Equations
Linear Equations
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Linear Algebra

The three midterm exams will be held in Walker during lecture hours
(closed book). All grading questions should go to your recitation instructor!

W 2/4 The Geometry of Linear Equations 1.1-2.1
F 2/6 Elimination, Matrix Operations 2.2, 2.4
M 2/9 Elimination Matrices and Matrix Inverses 2.3, 2.5
W 2/11 A = LU Factorization 2.6
F 2/13 Permutations, Dot Products, and Transposes 2.7
M 2/16 HOLIDAY (lecture on Tuesday)  
T 2/17 Vector Spaces and Subspaces 3.1
W 2/18 The Nullspace: Solving Ax = 0 3.2
F 2/20 Solving Ax = b for nonsquare A, Row-reduced Echelon Form 3.3-3.4
M 2/23 Independence, Dimension, and Bases 3.5
W 2/25 The Four Fundamental Subspaces 3.6
F 2/27 Subspaces and Matrix Operations  
M 3/2 Exam 1: Chapters 1 to 3.4  
W 3/4 Graphs and Networks 8.2
F 3/6 Orthogonality and Subspaces (Add Date) 4.1
M 3/9 Projections 4.2
W 3/11 Least Squares Approximations 4.3
F 3/13 Orthonormal Bases, Gram-Schmidt, and A = QR 4.4
M 3/16 Fourier Series and Orthogonal Polynomials 8.5
W 3/18 Properties of Determinants 5.1
F 3/20 Formulas for Determinants; Jacobians 5.2-5.3
M-F 3/23-27 SPRING BREAK  
M 3/30 Exam Review  
W 4/1 Exam 2: Chapters 1-5, 8.2, 8.5  
F 4/3 Eigenvalues and Eigenvectors 6.1
M 4/6 Similar Matrices, Diagonalization, and Powers of A 6.6, 6.2
W 4/8 Markov Matrices 8.3
F 4/10 Differential Equations 6.3
M 4/13 Symmetric Matrices 6.4
W 4/15 Positive Definite Matrices 6.5
F 4/17 Defective Matrices: Jordan Forms and Generalized Eigenvectors 6.6
M 4/20 HOLIDAY  
W 4/22 Singular Value Decompositions 6.7
R 4/23 (Drop Date)  
F 4/24 Matrices in Engineering 8.1
M 4/27 Linear Operators on Functions  
W 4/29 Exam Review  
F 5/1 Exam 3: Chapters 1-8 (8.1, 2, 3, 5)  
M 5/4 Google PageRank; Principal Components Analysis  
W 5/6 Sparse Matrices and Iterative Methods 9.3
F 5/8 Numerical Linear Algebra 9.1-9.2
M 5/11 Complex Matrices and FFTs 10.1-3
W 5/13 Course Review  
M-F 5/18-22 Final Exams