Instructor: Suman Ganguli | Fall 2023

Month: September 2023 (Page 1 of 3)

Class 8 Recap (Wed Sept 27)

Class Info

  • Date: Wed Sept 27
  • Meeting Info: 12p-1:40p, N700

Announcement

Office hours: Friday, Sept 29, 2-3p on Blackboard Collaborate.

WebWork:

  • “Derivatives – Power Rule” – due tonight (Thurs Sept 28)
  • “Derivatives – Power Rule – Part 2” – due Mon Oct 2
  • “Derivatives – Product Rule” – due Thurs Oct 5

Another WebWork set on the next topic (Quotient Rule) will be assigned next week.

Topics

Continued with Sec 3.3 – Differentiation Rules – reviewed Quiz #1, Power Rule examples from WebWork sets; introduced Product Rule:

PatrickJMT Videos – Derivatives

You can find numerous online resources to help you learn the math we are covering in this course. One YouTube math channel I like is PatrickJMT. He has an entire playlist on derivatives, which you can find here.

For example, here are a couple of his videos on the topic we just covered–finding derivatives using the power rule:

Class 7 Recap (Wed Sept 20)

Class Info

  • Date: Wed Sept 20
  • Meeting Info: 12p-1:40p, N700

Announcement

The college is closed on Monday (Sept 25), so our next class meeting will be next Wednesday (Sept 27). Please work on the open WebWork sets in the meantime:

“Derivatives – Functions” (due Mon Sept 25)

“Derivatives – Power Rule” (due Thurs Sept 28)

Topics

We found the derivatives of the following power functions ( f(x) = x^n ), and generalized this to the “Power Rule”.

We also introduced the “d/dx” notation for derivatives, and the Sum and Constant Multiple Rules:

Using these rules, we can now find the derivative of any polynomial. For example:

See Sec 3.3 – Differentiation Rules in the textbook for the statements of these rules and additional examples:

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