19C Notes and Practice Problems
Multivariable Functions (Sec 15.1) Solutions
Partial Derivatives (Sec 15.2) Solutions
Finding Maximum and Minimum Values for Multivariable Functions (Sec 15.3) Solutions
Linear Regression (Line of Best Fit)
Lagrange Multiplier Method for Constrained Optimization Solutions
Lagrange Application Problems Solutions
Double Integrals and Applications Solutions
Differential Equations and Applications Solutions
More Examples of Differential Equations and Applications Solutions
Price Adjustment (DE Application)
Capital Intensity (DE Application)
Direction Fields and Euler's Method Solutions
Linear Systems of DE's and Nullclines Solutions
Linear Systems (Application - Set up DE's)
Intro to Eigenvalues and Eigenvectors
More Eigenvalues and Eigenvectors
Intro to Linear Systems of DE's
Solving Linear Systems of DE's
Solving Non-Homogeneous Linear Systems of DE's Solutions
Linearization and the Jacobi Matrix for Non-Linear Systems of DE's
Phase Plane Analysis for Non-Linear DE's
Intro to Markov Chains Solutions
Final Practice Problems (Jones, F'25)