Instructor: Suman Ganguli | Fall 2023

Month: September 2023 (Page 3 of 3)

Class 3 Recap (Wed Sept 6)

Class Info

  • Date: Wed, Sept 6
  • Meeting Info: 12p-1:40p, N700

Topics

  • reviewed this graph again: (slope of) tangent line as limit of (slopes of) secant lines
  • Limits – examples
    • OpenStax Sec 2.2
    • reviewed the following graphs/examples of “problematic” limits:
    • Examples from WebWork “Limits – Introduction”

To-Do After Class

  • Log in to WebWork (login sent via email)
  • Complete “Limits – Introduction” (due Monday eve, Sept 11)

Class 2 Recap (Wed Aug 30)

Class Info

  • Date: Wed, Aug 30
  • Meeting Info: 12p-1:40p, N700

Topics

  • review from Class 1: tangent lines and secant lines
  • Limits
    • OpenStax Sec 2.2
    • “The concept of a limit or limiting process, essential to the understanding of calculus, has been around for thousands of years. In fact, early mathematicians used a limiting process to obtain better and better approximations of areas of circles. Yet, the formal definition of a limit—as we know and understand it today—did not appear until the late 19th century. We therefore begin our quest to understand limits, as our mathematical ancestors did, by using an intuitive approach.”
    • Analyze “the limit as x goes to 2” for each of the functions above: graphically, numerically, algebraically

To-Do After Class

  • Log in to WebWork (login was sent via email)
  • Start “Limits – Introduction” (due Friday Sept 8)
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