2.1 Solution Curves without a Solution + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
2.2 Separable Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
2.3 Linear Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
2.4 Exact Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
2.5 Solutions by Substitutions + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
2.6 A Numerical Method + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted) Excel spreadsheet Download the Excel spreadsheet for this lesson (posted after lecture).
3.1 Linear Models + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
3.2 Nonlinear Models + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
4.1 Preliminary Theory—Linear Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
4.2 Reduction of Order + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted) Reduction of Order for y₂ Open the PDF supplement.
4.3 Homogeneous Linear Equations with Constant Coefficients + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
4.4 Undetermined Coefficients—Superposition Approach + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
4.6 Variation of Parameters + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted) Geometric Interpretation of Variation of Parameters Open the PDF supplement.
4.7 Cauchy–Euler Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
4.9 Solving Systems of Linear Differential Equations by Elimination + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
5.1 Linear Models: Initial-Value Problems + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
5.2 Linear Models: Boundary-Value Problems + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
6.1 Review of Power Series + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted).
6.2 Solutions about Ordinary Points + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted).
6.3 Solutions about Singular Points + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted). Reduction of Order for y₂ Open the PDF supplement.
6.4 Special Functions + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted).
7.1 Definition of the Laplace Transform + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted after lecture).
7.2 Inverse Transforms and Transforms of Derivatives + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted after lecture).
7.3 Operational Properties I + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted after lecture).
7.4 Operational Properties II + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted after lecture).
7.5 The Dirac Delta Function + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted after lecture).
7.6 Systems of Linear Differential Equations + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted after lecture).
8.1 Preliminary Theory—Linear Systems + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
8.2 Homogeneous Linear Systems + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) (posted)
8.3 Nonhomogeneous Linear Systems + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted).
8.4 Matrix Exponential + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted).
9.1 Euler Methods and Error Analysis + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted after lecture). Excel spreadsheet Download the Excel spreadsheet for this lesson (posted after lecture).
9.2 Runge–Kutta Methods + Videos Watch the instructional videos for this lesson on YouTube. Fillable Notes Class Notes (html) Class Notes (pdf) Download the class notes for this lesson (posted after lecture). Excel spreadsheet Download the Excel spreadsheet for this lesson (posted after lecture).