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Date  Sections(s)  Topics covered 

Mathematical Induction. An introduction to prooves. How many prime numbers are there?  
1.2  Fields and vector spaces  
1.2, 1.3  Vector spaces and subspaces  
1.3, 1.4  Subspaces and linear combinations  
Linear Combinations  
1.5, 1.6  Linear dependence and indendence, bases  
1.6  Bases and dimension  
1.6  Bases and dimension  
2.1  Linear Transformations  
2.1  Nullspace and Range  
Exam 1  In class portion of first exam Take Home Exam given out 

2.1  Rank and Nullity  
2.1, 2.2  Matrix representation of a linear map
Take Home Exam Due 

2.2, 2.3  Matrix representation of linear transformations  
2.3, 2.4  Matrix repensentations, compositions  
2.4  Invertibility and Isomorphism  
2.4  Invertibility and Isomorphism  
3.1, 3.2  Elementary matrices and rank of matrices  
3.1  3.4  Systems of equations, Elementary matrices  
3.1  3.4  Systems of equations, Elementary matrices  
Exam 2  In class portion of second exam Take Home Exam given out 

2.5  Change of Basis  
4.2  4.4  An overview of determinants  
5.1  Eigenvalues and eigenvectors  
5.2  Diagonalizability  
5.2  Diagonalizability  
5.2  Diagonalizability  
Chapter 6  Inner Product Spaces  
Chapter 6  Inner Product Spaces 
Last modified by
G. La Nave on 22 Sept 1999
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