MAC2311 Calculus I. Miami Dade College.

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

Summer 2019, Miami Dade College

      Limits & Computing Limits. Limits at infinity. End behavior of a function.
Teacher Notes1. Practice 1. 

5/15      Limits (Rigorously). Continuity. Continuity of trigonometric functions.
Teacher Notes2. Practice 2.

5/20      Review 1
5/22      Review and Test 1.

5/29     Tangent lines and rates of change. The Derivative function.
             Techniques of  Differentiation. Teacher Notes3. Practice 3.

6/03      The Product and Quotient Rules.
Practice 4. Homework Questions Examples.

6/05      Derivatives of Trigonometric Functions. The Chain Rule. Practice 5.

6/10      Review 2
6/12      Review and Test 2

6/17      Implicit differentiation. Derivatives of Log Functions.
Derivatives of Exponential and Inverse Trig Functions.  Related rates. Practice 6.

6/19      Local Linear approximation. L’Hopital’s Rule; Indeterminate forms.
             Analysis of Functions. Absolute Maxima and Minima. Practice 7.

     Applied Maximum and Minimum Problems. Rectilinear Motion, Newton’s Method.
             Rolle’s Theorem; Mean Value Theorem. Practice 8.

6/26      Review 3. Questions and answers.

7/01      Review and Test 3.

7/03      The Area Problem. The indefinite Integral. Integration by Substitution.
             The definite Integral. The Fundamental Theorem of Calculus. Practice 9-10.

7/08      Rectilinear motion, Average value of a Function. Definite Integrals by Substitution.
Practice 11. (Definite Integrals by Substitution on Practice 9-10).

7/10      Review 4
7/15      Review and Test 4

7/17      Area of a region between two curves. Volumes by Slicing:
The Disk and Washers Methods. Volumes by Cylindrical Shell Method. Practice 12.

7/22 and 7/24      Review (Final)
7/31      Final Exam



Miami Dade College, Kendall Campus.
Instructor: Carlos Sotuyo


Syllabus_MAC2311:MW, 6:35pm-9:30
Room 4206

HW instructions for WileyPlus
Course ID 702013

MDC Academic Calendar.

Textbook: Calculus Early Transcendentals, Author: Howard Anton, Edition: 11th;  ISBN: 9781119532545 (WileyPLUS Access). Online educational program titled WileyPLUS includes an electronic version of the textbook.
Deadline to register for WileyPlus is May 22nd.

Paul Online Notes.

Exams consist of free-response questions.

The Instructor Do not use Power Point Presentations.


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



Millersville University:
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.