Author:
My Linh Nguyen, Bentley Garrett, Mieczyslaw Dabkowski, Rabin Dahal, Vladimir Dragovic, Viswanath Ramakrishna, Jigarkumar Patel
Subject:
Calculus
Material Type:
Lecture Notes
Level:
Academic Upper Division
Tags:
  • THECB Grantee
    License:
    Creative Commons Attribution
    Language:
    English

    Calculus I Lecture Notes

    Calculus I Lecture Notes

    Overview

    Topics in the lecture notes are aligned with section titles in Calculus: Early Transcendentals, 8th edition, by James Stewart (Cengage Learning). With the exception of a few application problems, all materials in these lecture notes are original. These notes are self-contained and may be used as a stand-alone, free, open-source text. These materials were funded by the THECB OER Development and Implementation Grant, 2021.

    Week5:

    Lecture 12: Derivatives and Rates of Change (cont.)

    Lecture 13: The Derivative as a Function; Derivatives of Polynomial and Exponential Functions

    Lecture 14: Derivatives of Polynomial and Exponential Functions (cont.); The Product and Quotient Rules

     

    Week10:

    Lecture 27: How the Derivative Affects the Shape of a Graph

    Lecture 28: How the Derivative Affects the Shape of a Graph (cont.)

    Lecture 29: Indeterminate Forms and L'Hospital's Rule