Module 1
Handouts:
Integration Summary (Chapter 5)
Derivation of Arclength Integral (Section 6.5)
Resources:
Volumes by Slicing:
MRI: Image of Slices Animation of MRI MatLab
MathDemos: Volume by Slicing Animation
Volumes of Revolution:
National Curve Bank: Volume by Disk Method
MathDemos: Volume by Washer Method
MathDemos: Volume by Shells Gallery
Arclength examples:
Hydrostatic Pressure:
Module 2
Handouts:
Techniques of Integration...Fractions
Techniques of Integration...Partial Fractions
Improper Integrals (Section 7.8)
Numerical Methods of Integration (Section 7.7)
Resources:
StackExchange Debate on Learning Techniques of Integration
Section 7.2 Surge Function Drug Levels Hydrology
Electric Field due to Line Charge 1st video 2nd video
Online Practice
Section 7.8 Bioavailability of Drugs
Module 3
Assigned Problems
Review for Test 3
Handouts:
Series Expansion of Select Functions
Resources:
Power Series Convergence Animations (creepy!) and other physics resources
More Power Series Animations (not creepy!)
Euler's Identity and Mathematical Aesthetics
Mathematical Modeling and Tumors: Gompertz Ecosystems
Economic Multiplier Effect Video
Module 4
Assigned Problems
Review for Test 4
Handouts:
Summary of Parametric Equations
"Graphing Polar Equations" worksheet (part of HW)
Slope Fields (Section 8.2)
Euler's Method (Section 8.2)
Slope Fields (Sections 8.2 and 8.3)
Freefall with Air Resistance (Section 8.3)
Applications of Differential Equations (Section 8.4)
Resources:
Knot Theory and DNA Knot Theory and Trigonometry
Desmos Graphing Calculator and Instructions on Parametric Graphs
Helpful video on the graphing polar equations.
Demos Demo on Tangent Lines to Polar Curves
Polar AreaSlope Field Generator + Euler's Method Solution Calclulator (Math Scoop)
Better Slope Field Generator! (Thanks, Teagan!)
Instructions for graphing slope fields on a Mac