Linear Algebra

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Syllabus

Date Sections(s) Topics covered
4 Jan   Mathematical Induction
6 Jan 1.2 Fields and vector spaces
8 Jan 1.2, 1.3 Vector spaces and subspaces
11 Jan 1.3, 1.4 Subspaces and linear combinations
13 Jan 1.4 Linear Combinations
15 Jan 1.5, 1.6 Linear dependence and indendence, bases
18 Jan No class Martin Luther King Day
20 Jan 1.6 Bases and dimension
22 Jan 1.6 Bases and dimension
25 Jan 2.1 Linear Transformations
27 Jan 2.1 Nullspace and Range
28 Jan Exam 1 In class portion of first exam
Take Home Exam given out
29 Jan 2.1 Rank and Nullity
1 Feb 2.1, 2.2 Matrix representation of a linear map
Take Home Exam Due
3 Feb 2.2, 2.3 Matrix representation of linear transformations
5 Feb 2.3, 2.4 Matrix repensentations, compositions
8 Feb 2.4 Invertibility and Isomorphism
10 Feb 2.4 Invertibility and Isomorphism
11 Feb (No class 12 Feb) 3.1, 3.2 Elementary matrices and rank of matrices
15 Feb 3.1 - 3.4 Systems of equations, Elementary matrices
17 Feb 3.1 - 3.4 Systems of equations, Elementary matrices
18 Feb Exam 2 In class portion of second exam
Take Home Exam given out
19 Feb 2.5 Change of Basis
22 Feb 4.2 - 4.4 An overview of determinants
24 Feb 5.1 Eigenvalues and eigenvectors
26 Feb 5.2 Diagonalizability
1 Mar 5.2 Diagonalizability
3 Mar 5.2 Diagonalizability
5 Mar Chapter 6 Inner Product Spaces
8 Mar Chapter 6 Inner Product Spaces

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