Calc 118 Resources

Now that you’ve made it through all of the pre-course work, here are all of the resources that we’ve created to help you during the semester.

Topics Covered:

DDS:

  1. Intro to Discrete Dynamical Systems
  2. Linear DDS, Fixed Points, and Periodic Points
  3. Geometric Series
  4. Cobweb Plots (Classification of Fixed Points)
  5. Stability of Periodic Points
  6. Taylor Polynomials
  7. Bifurcations
  8. Intro to 2 Dimensional DDS
  9. Classification of fixed points of 2D DDS
  10. Nonlinear 2D DDS (Linearization, Partial Derivatives, Eigenvalue Analysis

DEs:

  1. Intro To DEs
  2. Slope Fields
  3. Euler’s Method
  4. Autonomous DEs
  5. Applications of the DE
  6. Antiderivative DEs
  7. The Definite Integral
  8. The Fundamental Theorem of Calculus
  9. Methods of Integration(Parts, U substitution)
  10. Separation of Variables(How to/ Modeling)
  11. Improper Integrals
  12. Growth and Decay
  13. Linearization/Eigenvalue Analysis

Applications of Integration:

  1. Definite Integrals
  2. Slicing/Density/Economics Examples
  3. Continuous Income Stream
  4. Average Value/ Probability Density

Mathematica Cheat Sheet

Our YouTube Channel