Lecture Materials

Below you will find copies of materials that I use in lecture. Since I am doing things on the board, I will likely stop posting outlines at some point and instead will just post my personal notes. Also I will post my review sheets (which you can use as lecture outlines). My review sheets are fairly extensive to they are good to look at as a companion to the lecture and the text.

CHAPTERS 1 & 2: First Order Equations
1.1/2 Outline	Full Notes	Terminology & Motivation
1.2/3 Outline	Full Notes	More Examples & Slope Fields
2.2 Outline 1	Full Notes	Intro to separable equations
2.2 Outline 2	Full Notes	Separable with applications (melting snowball, bank account)
	2.2 Review Sheet	Supplement
2.1 Outline	Full Notes	Integrating Factors
	2.1 Review Sheet	Supplement
2.3 Outline	Full Notes	Applications
	2.3 Lecture Examples	Supplement
	2.3 Review Sheet	Packet on applications
2.5 Lecture Visuals	Notes	Equilibriums Sol'ns (Stable, Unstable, Semistable), Population Applicatoins
	2.5 Review Sheet	Supplement
2.7 Outline	Notes	Euler's Method, approximating solutions
	2.7 Review Sheet	Supplement
EXAM 1 ONE-PAGE REVIEW	Exam 1 Rules and Longer Review
CHAPTER 3: Second-Order Equations
3.1 Notes	3.1 Review Sheet	Intro to 2nd order, characteristic equations with two real roots
3.2 Notes (Optional)	3.2 Review Sheet	Supplement on Theory - Linearity and combining solutions
3.3 Notes	3.3 Review Sheet	Characeristic Equation with two complex roots
	My Complex Numbers Review	Supplement
	Dept. Notes on Complex Numbers	Supplement
3.4 Notes	3.4 Review Sheet	Characeristic Equation with repeated root
	Solving Practice (3.1-3.4)	Supplement
3.5 Notes	3.5 Review Sheet	Nonhomogeneous - method of undetermined coefficients
3.5 Notes 2		More Notes/Examples
	Review mass-spring set-up	Use to review 3.7/3.8 set-up
3.7 Notes	3.7 Review Sheet	Free Vibrations (mass-spring systems)
3.8 Notes	3.8 Review Sheet	Periodic Forcing Functions (mass-spring systems)
3.8 Notes 2	3.8 Lecture Visuals	Continue the discussion (with damping)
	3.7/3.8 Analysis Summary	Summary of All Four Cases
	"Beats" Review	Supplement on waves of different frequencies
EXAM 2 Review
CHAPTER 6: The LaPlace Transform
6.1 Notes	6.1 Review Sheet	LaPlace Transform - Intro/Computing
6.2 Notes	6.2 Review Sheet	Inverse LaPlace Transform
	LaPlace Practice Sheet	Supplement
	Inverse LaPlace Practice Sheet	Supplement
Laplace Solving Example		An additional example of the full method
6.3 Notes	6.3 Review Sheet	Step Functions
6.3 Notes 2		More on step functions
6.4 Notes	6.4 Review Sheet	Discontinuous forcing
6.5 Notes	6.5/6 Review Sheet	Transfer Function & Impulse Response
6.5/6 Notes		The Delta Function

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