If you change the way you look at things, the things you look at change.
Max Plank
The real voyage of discovery consists not in seeking new landscapes, but in having new eyes. Marcel Proust

MAC2311: Calculus I

This course includes topics in analytic geometry, limits, continuity, differentiation of algebraic and transcendental functions and their inverses, differentials, indeterminate forms and L’Hopital’s Rule, introduction to integration and the fundamental theorem of calculus, basic rules of integration and integration by substitution, and applications of definite integrals and derivatives.
Certain sections of this course may require the use of a graphing calculator.

MAC2311: Activities

Fall 2019, Broward College

8/19 Intro to the course 2.1: Rates of Change and Tangent Lines to Curves Practice 01

8/21 2.2: Limits of Functions and Limit Laws
2.3: The Precise Definition of a Limit Practice 02 and 2.3 HW_questions to be discussed in class.

8/26 2.4: One-Sided Limits; 2.5: Continuity Practice 03

8/28 2.6: Limits Involving Infinity; Asymptotes of Graphs.
Limits at Infinity, prof. Kouba, Univ of California at Davis: Q&A. Practice 04.

10/23
4.1: Extreme Values of Functions
4.2: The Mean Value Theorem Practice 14

10/28
4.3: Monotonic Functions and the First Derivative Test.
4.4: Concavity and Curve Sketching Practice 15
10/30
4.6: Applied Optimization
math.libretexts.org: optimization Practice 16

11/20
5.4 The Fundamental Theorem of Calculus
5.5: Indefinite Integrals and the Substitution Method Practice20
11/25
5.6: Definite Integral Substitutions
7.1: The Logarithm Defined as an Integral The logarithm defined as an integral by LibreText, UC Davis Practice21