Differential Equations

Allan Alexander Struthers received his PhD from Carnegie Mellon and is a Professor of Mathematics in the Department of Mathematical Sciences at Michigan Technological University. In his 28 years at MTU, Prof Struthers has both taught and helped develop courses and curricula for graduate and undergraduate students in mathematics and engineering departments, and has received several awards for his research and teaching excellence. Merle C. Potter received his Ph.D. from The University of Michigan and is Professor Emeritus of Mechanical Engineering at Michigan State University. He has co-authored textbooks based on teaching Thermodynamics, Fluid Mechanics, Applied Mathematics, and related subjects. Prof  Potter’s research included the stability of various fluid flows, separated flow around bodies, and energy conservation studies. He has authored and coauthored 34 textbooks and exam review books.

“The textbook Differential Equations: For Scientists and Engineers by Allan Struthers and Merle Potter is an excellent starting point for undergraduates with a background in multivariable calculus who want to take the next step in their mathematical education. … I am very happy to have been introduced to this excellent textbook. I plan to use it as an additional resource in the upcoming semester.” (Pratima Hebbar, Physics Today, July, 2020)

• Chapter 1: Essentials of linear algebra.- Chapter 2: First-order differential equations.- Chapter 3: Linear systems of differential equations.- Chapter 4: Higher order differential equations.- Chapter 5: Laplace transforms.- Chapter 6: Nonlinear systems of differential equations.- Chapter 7: Numerical methods for differential equations.- Chapter 8: Series solutions for differential equations.- Appendix A: Review of integration techniques.- Appendix B: Complex numbers.-  Appendix C: Roots of polynomials.- Appendix D: Linear transformations.- Appendix E: Solutions to selected exercises.