Math 340

MATH 340 (Elementary Differential Equations, 2024 Fall)

Textbook Link: https://www.jirka.org/diffyqs/.

• § 0 (Introductions)

• § 1.1 (Integrals as solutions)

• § 1.3 (Separable equations)

• § 1.4 (Linear equations and the integrating factor)

• § 1.5 (Substitution)

• § 1.6 (Autonomous equations)

• § 1.7 (Euler's method)

• § 1.8 (Exact equations)

• § 2.1 (Second order linear ODEs)

• § 2.2 (Constant coefficient second order linear ODEs)

• § 2.3 (Higher order linear ODEs)

• § 2.4 (Mechanical vibrations)

• § 2.5 (Nonhomogeneous equation)

• Elementary Matrix Theory

• Eigenvalues and eigenvectors (1)

• Eigenvalues and eigenvectors (2)

• § 3.2.3 and § 3.2.5 (The determinant and inverse)

• § 3.3 (Linear systems of ODEs)

• § 3.4.2 (The eigenvalue method with distinct real eigenvalues)

• § 3.4.3 (Complex eigenvalues)

• § 6.1 (Laplace transform)

• § 6.2 (Transforms of derivatives and ODEs)

• § 6.3 (Convolution)

Practice Exams (with solutions):

• Practice Midterm 1

• Practice Midterm 2

• Practice Midterm 3

• Practice Final