Math 340: Differential Equations (Summer 2024)

Course Description

This course teaches you the fundamentals of differential equations. Differential equations started in the works of Newton and Leibniz. They were trying to describe motion of bodies under the influence of force and how the motion evolved with time. Differential equations describe how a quantity of interest, such as displacement,velocity, heat, population etc. evolves with time.

Syllabus

Syllabus

Instructor Details

Lecturer and Coordinator: Abhinav Chand
Email: achand1@{} #put ksu.edu inside the brakcets and remove the brackets.
Office: Cardwell Hall 127
Office hours: MTWU 9:15-10:15 pm or by appointment (email to schedule). Also available by zoom.

Course Objectives

• Learn how to solve first order linear ODE.
• Learn how to plot slope fields.
• Learn how to approximate solutions to differential equations using Euler’s method.
• Learn how to classify differential equations.
• Learn how to solve second order linear ODEs with constant coefficients.
• Learn about higher order linear ODEs and their matrix form.
• Learn about mechanical vibrations and how to solve them.
• Learn how to solve system of ODEs using eigenvalue method
• Learn how to draw phase diagram of linear ODE.
• Learn how to solve differential equations using Laplace transform.

Required Texts

We will use Notes on Diffy Qs: Differential Equations for Engineers by Jiri Lebl. The textbook is available free of charge.

Resources

You should contact your instructor for any exceptional circumstances. We encourage you to seek help from the instructor during their office hours. The math help session is a great resource for math tutoring and are held Monday through Friday, beginning the second week of class. Several instructors will be present to assist you. Math Help
Other K-state Tutoring: Academic Achievement Center Tutoring Services
Steve Brunton ODE videos: Differential Equations.
3Blue1Brown Calculus videos: Essence of Calculus.
3Blue1Brown Linear Algebra videos: Essence of Linear Algebra.

Schedule