*Videos for the notes below are here
Body Mass Index and Infectious Disease Models
How To Show An Indeterminate Limit Exists
Tangent Planes and Linearizations
The Chain Rule Ohm's Law Example
Directional Derivatives *Note: On page 1, the dot product should be (a)(c)+(b)(d)
Estimating a Partial Derivative From a Contour Plot Solutions
Infectious Disease Model (Application of Directional Derivatives)
Finding Local (Relative) Extrema
Absolute Extrema on a Closed Boundary
Multivariable Optimization Problems
Biology Example of Finding Extrema (9.6, 40)
How To Identify Max, Min and Saddle Points From a Gradient Vector Field
A Failure of Clairaut's Theorem
Midterm 1 Review Problems (9.1 - 9.6) - Blank Solutions
Double Integrals *Note: For example 1b), the right and left bounds are backwards!
Midterm 1 Review Problems *From old 17 Calc book, but most problems are relevant. Solutions
Intro to Linear Systems of DEs
Solving a Linear System of DEs (Saddle)
Envisioning Eigenlines and Nullclines in a Direction Field
Stability Classifications for Real Eigenvalues
Stability for Linear Systems of DEs with Complex Eigenvalues
Writing the Solution to a Linear System of DE's With Complex Eigenvalues (Video)
Trace-Determinant Method for Classifying Stability
Linear System of DEs Application (10.3, #4)
Applications of Linear Systems of DE's
Solving a Messy Linear System and Another Application Problem
Solving Nonhomogeneous Linear Systems of DE's
A Double Compartment (Tank) Problem
Non-homogeneous Linear System of DEs Application (10.3, 11)
A Linear System With Repeated Eigenvalues
Linearization of a Nonlinear System of DE's
Interspecific Competition Models
Fitzhugh Nagumo Model for Neuron Action Potential
Midterm 2 Practice Problems (Carlsson)
More Counting Practice More Counting Practice (Solutions)
Using Combinations to Count Poker Hands
Bayes Rule and Testing for Independence Video
Genetic Counseling Example - Hemophilia (Blank) Solutions
Expected Value, Variance, Probability and Cumulative Distributions (Sec. 12.4)
Mark-Recapture Probability (Chp 12 Review, 23)
Final Review (Old Book) Solutions