Differential Equations and Linear Algebra (Zook)
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This work combines elements of A First Course in Linear Algebra by Ken Kuttler (licensed CC-BY 4.0) and Elementary Differential Equations with Boundary Value Problems by William F. Trench (licensed CC-BY-NC-SA 4.0). 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.
Front Matter
1: Systems of Equations
2: Matrices
3: Determinants
4: Rⁿ
5: Linear Transformations
6: Spectral Theory
7: What are Differential Equations?
8: First Order Equations
9: Applications of First Order Equations
10: Linear Second Order Equations
11: Applications of Linear Second Order Equations
12: Series Solutions of Linear Second Order Equations
13: Laplace Transforms
14: Linear Higher Order Differential Equations
15: Linear Systems of Differential Equations
16: Appendices
Back Matter
Thumbnail: A linear system in three variables determines a collection of planes. The intersection point is the solution. (CC BY-SA 4.0; Fred the Oyster via Wikipedia)