The final exam for the course will be on Tuesday (Dec 20), during our usual class time.

Listed below is a list of topics and exercises to review in preparation for the exam. I have uploaded solutions to the midterm exams to OpenLab Files. I recommend downloading the pdfs and studying the solutions as you review these topics:

  • The limit definition of the derivative: Exam 1 (exercise #1), Exam 3 (#1)
  • Finding the derivative of a given function using the differentiation rules: Exam 1 (#4), Exam 2 (#4), Exam 3 (#2), Quiz #2, Quiz #3
  • Finding the equation of the tangent line for a given function at a given point (using the derivative and the point-slope equation of the line): Exam 1 (#3), Exam 2 (#3), Quiz #2
  • Finding a linear approximation: Exam 3 (#3)
  • Using the derivative as instantaneous rate of change: Exam 2 (#1 and #2)
  • Using the derivative to find extrema and the shape of the graph (finding critical points and where the graph is increasing/decreasing): Exam 3 (#4)
  • Applied optimization: WebWork “Application – Optimization” #1-3