Broward College
Central Campus.

Textbook: University Calculus (4th Ed.), Pearson.

Syllabus MAC2311:
MW 5:00 pm - 7:15 pm
MyMathLab
Registration instructions



Paul Online Notes
Paul Cheat Sheets

MIT Calc I video lectures

Calculus.org
Univ of Utah:
Calculus I Video Lectures


University of British Columbia, Calculus Notes

UC Davis:
Calculus problems

Dr. Vogel's Gallery
of Calculus Pathologies

Millersville University:
Algebra
Trigonometry
Calc1
Calc2
Calc3

Numberphile: Zero factorial: 0! = 1

3Blue1Brown: Animated Math.

Volumes of Solids of Revolution, Loyola Univ, Maryland.

Area of a surface of revolution, Stewart.

Linear aproximations: by S.O.S Math

Summary of conic sections, Stewart

 


Typesetting Calculus
LaTex Math
LaTex presentation

 

Math in depth...

1729:
Hardy-Ramanujan Number

Klein Bottle

Hilbert Space



MAC2311: Calculus and Analytic Geometry I
Instructor: Carlos Sotuyo
ebook

APEX Calculus: file - link
Univ of Wisconsin, Notes: file - link

Activities

8/24 Intro to the course: Syllabus. Pearson Homework assignments.
2.1: Rates of Change and Tangent Lines to Curves. Notes 01.
Practice 01 [Students work in groups] Practice 01 Ans


8/26
2.2: Limits of Functions and Limit Laws. Notes 02.
Practice 02. [Students work in groups] Practice 02 Ans
HW qns on limits | Answers
8/31
2.3: The Precise Definition of a Limit. Notes 03. Notes on Absolute values (review).
Practice 03 [Students work in groups] Practice 03 Ans
2.3 HW_questions to be discussed in class. Step by Step Slns.
LibreTexts Epsilon-Delta definition of limit at UCDavis.
9/2
2.4: One-Sided Limits; 2.5: Continuity. Notes 04.
Practice 04 [Students work in groups] Practice 04 Ans
9/9
2.6: Limits Involving Infinity; Asymptotes of Graphs. Notes 05.
Limits at Infinity, prof. Kouba, Univ of California at Davis: Q&A.
Practice 05 [Students work in groups] Practice 05 Ans
9/14
Review 01 | Review 01 handwritten notes.
Two limits (examples)
9/16
Test 1

mit

9/21
3.1: Tangent Lines and the Derivative at a Point.
3.2: The Derivative as a Function. Notes 06.
Practice 06 [Students work in groups] Practice 06 Ans.
9/23
3.3: Differentiation Rules
3.4: Derivative as a Rate of Change. Particles' motion (1 page). Notes 07.
Particles' motion: Questions and answers. || The Physics Hypertextbook.
Question 1: The curve y=ax^2+bx+c passes through (...)
Question and Answer here.
Question 2: A body moves on a coordinate line such that it has a position.
s(t)=t^2 -5t+4  (...).
Question and Answer here. Section 3.4 Qns Ans, #10.
Practice 07 [Students work in groups] Practice 07 Ans.
9/28
3.5: Derivatives of Trig Functions. Notes 08.
Practice 08 | [Students work in groups] |Practice 08 Ans.
9/30
3.6: Chain Rule. Notes 09.
Practice 09 | [Students work in groups] Practice 09 Ans.
10/5
3.7: Implicit Differentiation. Notes 10.
Practice 10 | [Students work in groups] |Practice 10 Ans
10/07

3.8: Derivatives of Inverse Functions and Logarithms. Notes 11.
Practice 11 | [Students work in groups] |Practice 11 Ans
10/12
3.9: Inverse Trigonometric Functions. Notes 12.
Practice 12 | [Students work in groups] |Practice 12 Ans
10/14
3.10: Related Rates. Notes 13.
Practice 13 | [Students work in groups] |Practice 13 Ans.
math.libretexts.org: related rates examples. | HWQns |HW_Selected_Ans
3.11: Linearization and Differentials. Notes 14.
Practice 14 | [Students work in groups] |Practice 14 Ans.
| HW_Qns | HW_Ans |
10/19
Review 02. | Review02_Ans
10/21 Test 2
10/26
4.1, 4.2: Extreme Values of Functions. The Mean Value Theorem. Notes 15.
Practice 15 | [Students work in groups] |Practice 015 Ans
10/28    
4.3: Monotonic Functions and the First Derivative Test. Notes 16.
Practice 16 | [Students work in groups] |Practice 16 Ans
4.4: Concavity and Curve Sketching. Notes 17.
Practice 17 | [Students work in groups] |Practice 17 Ans
11/2    
4.6: Applied Optimization. Notes 18. Examples.
Setion 4.6 HW Qns || & Selected Ans.
math.libretexts.org: optimization
Practice 18 | Practice 18 Ans
11/4      
4.8: Antiderivatives. Notes 19.
Integration of x^n - Fermat's proof
Practice 19 | Practice 19 Ans
11/9   
Review 3 Chapter 4 | Review 03 Ans.
11/16    
5.1  Area and Estimating with Finite Sums
5.2  Sigma Notation and Limits of Finite Sums. Notes 20.
Practice 20 | Practice 20 Ans
11/18   
5.3  The Definite Integral. Notes 21
Practice 21 | Practice 21 Ans
Properties of definite integrals by mathopenref
11/23   
5.4  The Fundamental Theorem of Calculus
5.5: Indefinite Integrals and the Substitution Method. Notes 22
Practice 22 | Practice 22 Ans
11/30      
5.6: Definite Integral Substitutions
7.1: The Logarithm Defined as an Integral. Notes 23
The logarithm defined as an integral by LibreText, UC Davis
Practice 23 | Practice 23 Ans | Section 5.6 HW Qns | Section 5.6 Ans
Section 7.1 HW qns | Section 7.1 Ans
12/02   
Review 4 Chapter 5 | Review 4 Ans
12/07   
Test 3
12/9      
Final Exam Review
12/14       
Final Exam