Instructor: Suman Ganguli

Author: Suman Ganguli (Page 1 of 12)

Final Exam: Topics/Review Exercises

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

Class 29 Agenda (Thurs Dec 15)

Class Info

  • Date: Thurs, Dec 15
  • Meeting Info: 10a-11:40a, N705

Topics

  • Return and discuss Exam #3
  • Additional examples from “Application – Optimization” WebWork
  • Discuss topics/exercises to Final Exam
    • The final exam will be next Tuesday (Dec 20) during our usual class time
    • I will create a separate OpenLab post with a list of topics/exercises to review for the final

WebWork

Do at least the following exercises from the remaining WebWork sets, which will close Sunday (the remainder of each set will count as extra credit):

  • Application – Extrema: #1-4
  • Application – Monotonicity: #1-3
  • Application – Shape of Polynomials: #1-4
  • Application – Optimization: #1-3

Class 28 Agenda (Tues Dec 13)

Class Info

  • Date: Tues, Dec 13
  • Meeting Info: 10a-11:40a, N705

Topics

  • Introduce Sec 4.7 (“Applied Optimization”)
    • Examples from “Application – Optimization” WebWork

WebWork

Do at least the following exercises (the remainder of each set will count as extra credit):

  • Application – Extrema: #1-4
  • Application – Monotonicity: #1-3
  • Application – Shape of Polynomials: #1-4
  • Application – Optimization: #1-3
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