Skip to main content
Contents Embed Dark Mode Prev Up Next \( \newcommand{\N}{\mathbb N}
\newcommand{\Z}{\mathbb Z}
\newcommand{\Q}{\mathbb Q}
\newcommand{\R}{\mathbb R}
\newcommand{\set}[1]{\{{#1}\}}
\newcommand{\gint}[1]{\llbracket #1 \rrbracket}
\newcommand{\mean}[1]{\overline{#1}}
\newcommand{\median}[1]{\widetilde{#1}}
\newcommand{\spc}[1]{\underline{\hspace{#1}}}
\newcommand{\del}{\partial}
\newcommand{\intfact}{e^{\int P(x) \, dx}}
\newcommand{\defn}{\stackrel{\textrm{def}}{=}}
\newcommand{\laplace}[1]{\mathscr{L}\set{#1}}
\newcommand{\laplaceinv}[1]{\mathscr{L}^{-1}\set{#1}}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\newcommand{\fillinmath}[1]{\mathchoice{\underline{\displaystyle \phantom{\ \,#1\ \,}}}{\underline{\textstyle \phantom{\ \,#1\ \,}}}{\underline{\scriptstyle \phantom{\ \,#1\ \,}}}{\underline{\scriptscriptstyle\phantom{\ \,#1\ \,}}}}
\)
Chapter Lecture Notes
These files contain notes templates for lectures. It is expected that you will print or download the each template before coming to class. These templates will not serve as a replacement for coming to class.
Lesson 1, Introduction to Differential Equations Lesson 2, Using Integration to Solve Simple Differential Equations Lesson 3, Slope Fields and Sketching Solution Curves Lesson 4, Separable Differential Equations and Applications Lesson 5, First-order Linear Differential Equations, Part I Lesson 6, First-order Linear Differential Equations, Part II Lesson 7, Substitution Methods Lesson 8, Exact Differential Equations and More Substitutions Lesson 9, Population Growth Models Lesson 10, Equilibrium Solutions and Stability Lesson 11, Acceleration, Velocity, and Resistance Lesson 12, Euler’s Method, A Numerical Method for Solving IVP’s Lesson 13, Second-Order Linear Differential Equations Lesson 14, General Solutions of Linear Equations Lessons 15 and 16, Homogeneous Equations with Constant Coefficients Lesson 17, Mechanical Vibrations Lesson 18, The Method of Undetermined Coefficients Lesson 19, Variation of Parameters Lessons 20 and 21, Forced Oscillations and Resonance Lessons 22 and 23, Systems of Differential Equations and Applications Lesson 24, Matrices and Linear Systems Lessons 25-27, Linear Systems of Differential Equations with Constant Coefficients: The Eigenvalue Method Lesson 28, Pictures of Solution Curves of Linear Systems Lesson 29, Matrix Exponentials and Linear Systems Lesson 30, Nonhomogeneous Linear Systems of Differential Equations Lesson 31, Laplace Transformations and Inverse Laplace Transformations Lesson 32, Laplace Transformations of Initial Value Problems Lesson 33, Translation of Laplace Transforms and Partial Fractions Lesson 34, Derivatives, Integrals, and Products of Laplace Transforms Lesson 35, Piecewise Continuous Input Functions Lesson 36, Impulses and Delta “Functions”
