MAC2311 Calculus I


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      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.
Practice02
, and 2.3 HW_questions to be discussed in class.

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

8/28        2.6: Limits Involving Infinity; Asymptotes of Graphs

9/4          Review

9/9          Test 1

9/11        3.1: Tangent Lines and the Derivative at a Point; 3.2: The Derivative as a Function

9/16        3.3: Differentiation Rules; 3.4: Derivative as a Rate of Change

9/18        3.5: Derivatives of Trig Functions

9/23        3.6: Chain Rule

9/25        3.7: Implicit Differentiation

9/30        3.8: Derivatives of Inverse Functions and Logarithms

10/2        3.9: Inverse Trigonometric Functions

10/7        3.10: Related Rates

10/9        3.11: Linearization and Differentials  
                                   
10/14      Review

10/16      Test 2

10/21      4.1: Extreme Values of Functions

10/23      4.2: The Mean Value Theorem; 4.3: Monotonic Functions and the First Derivative Test.

10/28      4.4: Concavity and Curve Sketching

10/30      4.6: Applied Optimization

11/4        4.8: Antiderivatives

11/6        Review

11/13      5.1  Area and Estimating with Finite Sums; 5.2  Sigma Notation and Limits of Finite Sums

11/18      5.3  The Definite Integral

11/20      5.4  The Fundamental Theorem of Calculus; 5.5: Indefinite Integrals and the Substitution Method
11/25      5.6: Definite Integral Substitutions; 7.1: The Logarithm Defined as an Integral

11/27      Review Test 3

12/2        Test 3

12/4        Review Final Exam
12/9        Final Exam


 


Broward College, South Campus.
Instructor: Carlos Sotuyo
email: csotuyo@broward.edu

img

Syllabus_MAC2311: MW, 5:00 pm-7:20 pm
Building 70, Room 111
Office Hours: Building 69,
R room 237: 4:10 pm -4:50 pm, Mondays

HW Student registration handout

Resources:

Paul Online Notes.


The Instructor Does not use Power Point Presentations.

But, here they are: PPTs collection(zip file)

cs
Anti-powerpoint-party.com



A Graphing calculator is highly recommended.
TI 84 or Casio 9750GII.  

casio

ti84

Millersville University:
final-review
sheets & solutions for Basic Algebra, Trigonometry, Calculus 1, 2 & 3 .

MATHISPOWER4U tutorials: Algebra, Calculus I, II, III, differentail eq, set theory, logic, etc.

List of derivatives rules From UCDavis.