Differential Equations and Linear Algebra (Zook)
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This work combines elements of Elementary Differential Equations with Boundary Value Problems by William F. Trench (licensed CC-BY-NC-SA 4.0) and Linear Algebra by Waldron, Cherney, and Denton (licensed CC-BY-NC-SA 3.0). All changes have been made by Steven Zook, Mathematics Instructor, Reedley College.
This text is intended for engineering, science, and math majors who have completed a three semester calculus sequence.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Front Matter
1: What are Differential Equations?
2: First Order Equations
3: Applications of First Order Equations
4: Linear Second Order Equations
5: Applications of Linear Second Order Equations
6: Series Solutions of Linear Second Order Equations
7: Laplace Transforms
8: What is Linear Algebra?
9: Systems of Linear Equations
10: Vectors in Space, n-Vectors
11: Vector Spaces
12: Matrices
13: Determinants
14: Subspaces and Spanning Sets
15: Linear Independence
16: Basis and Dimension
17: Eigenvalues and Eigenvectors
18: Orthonormal Bases and Complements
19: Linear Higher Order Differential Equations
20: Linear Systems of Differential Equations
21: Appendices
Back Matter