Skip to content
Menu
Math 131 Calculus 1 Resources
  • Home
  • Desmos Links
    • Desmos Links – Calc 2
  • Handouts
  • WebAssign
  • Q-Center
Math 131 Calculus 1 Resources

Interlude 2 – Intro to Differential Equations

Posted on October 23, 2019January 24, 2020

Starting with Interlude 2, and continuing through Interludes 3 and 4, we will investigate how our ability to understand and calculate derivatives lends itself to some powerful modeling applications in the real world.

These notes for Interlude 2 introduce “differential equations” (DE’s) and “initial value problems” (IVP’s), and the important idea that even though solving differential equations is hard, with our knowledge of derivatives we can already investigate a lot of important cases. We then begin to explore some real world application of exponential growth models, and how they can be understood as a differential equation.

Interlude 2 notes PDFDownload

For a more thorough explanation of what it means for a function to be a solution to a DE or IVP, please watch Video TT2a: Differential Equations on the Math Department YouTube page.

As the semester progresses, we will collect below some supplemental notes and exercises, which will introduce some important applications of differential equations to various other disciplines, all of which are accessible to a student with knowledge of Chapters 1 and 2 of the text.

Applications to Finance PDFDownload

Applications to Motion PDF (coming soon)

Applications to Biology PDF (coming soon)

Tags

Ch 0 (5) Ch 1 (2) Ch 2 (6) Ch 4 (1) Ch 7 (1) desmos (15) handout (8) interlude (4) review problems (1)
©2021 Math 131 Calculus 1 Resources | Powered by WordPress and Superb Themes!