Math 144 - Finite Mathematics

reading assignment

(system of linear equations)

• §1.1 - Linearity and linear equations
• §1.2 - System of linear equations
• §1.3 - Equivalent systems
• §1.4 - Matrices and vectors
• §1.5 - Representation of SLEs
• §1.6 - Echelon form, back substitution

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(system of linear equations)

• §1.7 - Row operations as matrix multiplication
• §1.8 - Gauss' method
• §1.9 - Homogeneous and particular solutions

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(vector spaces)

• §2.1 - Definition and examples
• §2.2 - A special example
• §2.3 - General results

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(vector spaces)

• §2.4 - Linear combinations
• §2.5 - Linear (in)dependence
• §2.6 - Main lemma

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(vector spaces)

• §2.7 - Subspaces
• §2.8 - Span
• §2.9 - Basis and dimension
• §2.10 - Coordinates

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(linear maps)

• §3.1 - Basic definitions
• §3.2 - Examples
• §3.4 - Properties
• §3.7 - Matrix representation
• §3.8 - Change of basis

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(determinants)

• §4.1 - Definition and properties
• §4.2 - Towards existence
• §4.3 - Determinant of a permutation

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(eigenvalues, eigenvectors)

• §5.2 - Eigenvectors
• §5.4 - Computing eigenvectors
• §5.5 - Properties

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(introduction to graphs)

• §1.1 - graphs, adjacency and incidence
• §1.2 - simple graphs
• §1.3 - degree
• §1.4 - Handshake lemma

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(introduction to graphs)

• §1.5 - isomorphisms
• §1.6 - representations

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(introduction to graphs)

• §1.7 - walks, paths and cycles
• §1.8 - special graphs
• §1.9 - common graph measures

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(subgraphs and connectivity)

• §1.10 - subgraphs
• §1.11 - connected graphs

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Trees

• §1.12 - trees
• §1.13 - spanning trees

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(BFS)

• §1.14 - breadth first search trees