The topics covered parallel those of MATH 2552 with a somewhat more intensive and rigorous treatment.
Differential Equations: An Introduction to Modern Methods & Applications, by James R. Brannan and William E. Boyce (second edition); John Wiley and Sons, Inc.
|Introduction and Euler's method||1.1-1.4||2|
|First Order Differential equations; Systems of two first order equations||2.1-2.8; 3.1-3.7||7+7|
|Second order linear equations; Systems of first order equations; Nonlinear Differential Equations and Stability||4.1-4.8; 6.1-6.7; 7.1-7.6||8+7+6|
|Laplace Transform Methods||5.1-5.9||8|