Instructor: Suman Ganguli

Month: December 2022 (Page 2 of 2)

Midterm Exam #3: take-home exam due Tuesday (Dec 13)

The last midterm exam is a take-home exam. I will distribute it class today (I will also upload the pdf to OpenLab), and it will be due Tuesday (Dec 13) at the beginning of class.

I will update this post below with a list of WebWork exercises and textbook examples to review as you are working through the exam.

#1: finding the derivative of a function using the definition of the derivative: see Sec 3.2, Example 3.12

#2: finding derivatives using the derivative rules, derivatives of trig functions, and derivatives of exponential and logarithmic functions): see examples in Sections 3.3, 3.5, 3.6, 3.9

#3: (finding/using the “linearization” of a function at point: See Sec 4.2, WW “Application – Linearization”

#4: Finding critical points, local maxima/minima, intervals where function is increasing/decreasing: See Sec 4.3 and 4.5; WW “Application – Extrema” (#1-4), “Application – Montonicity” (#3), “Application – Shape of Polynomials” (#1-4)

Class 26 Agenda (Tues Dec 6)

Class Info

  • Date: Tues, Dec 6
  • Meeting Info: 10a-11:40a, N705

Topics

  • Review topics covered last week:
    • Exponential/logarithmic functions and their derivatives (Sec 3.9)
      • remaining questions re “Derivatives – Logarithms” (due tonight)
    • “Linearization” L(x) (i.e., using the tangent line as “linear approximation” for a function “in the neighborhood” of a given point x = a (Sec 4.2)
      • examples from “Application – Linearization” (due Thursday)
  • Introduce Sec 4.3 (“Maxima and Minima”) & Sec 4.5 (“Derivatives and the Shape of a Graph”)
    • Examples from “Application – Extrema” and “Application – Monotonicity” (due next week)

Notes

  • Exam #3 will be a take-home exam:
    • will be distributed in class on Thursday
    • due at the start of class next Tuesday (Dec 13)

Newer posts »