imathesis

Broward College
Central Campus.

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

Syllabus MAC2311:
TR, 8:30 am-10:35 am
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, TrigonometryCalculus 1, 2 & 3 .

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

8/25 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]

img
8/27
2.2: Limits of Functions and Limit Laws. Notes 02.
Practice 02.
9/1
2.3: The Precise Definition of a Limit
Practice 03 and 2.3 HW_questions to be discussed in class.
9/3
2.4: One-Sided Limits; 2.5: Continuity
Practice 04
9/8
2.6: Limits Involving Infinity; Asymptotes of Graphs.
Limits at Infinity, prof. Kouba, Univ of California at Davis: Q&A.
Practice 05
9/10
Review 01
9/15
Test 1

mit

9/17
3.1: Tangent Lines and the Derivative at a Point
3.2: The Derivative as a Function
Practice 06.
9/22
3.3: Differentiation Rules
3.4: Derivative as a Rate of Change. Particles' motion (1 page).
Practice 07. Particles' motion. Questions and answers.
Question 1: The curve y=ax^2+bx+c passes through the point (1,8) and is tangent to the line y=6x at the origin. Find a, b and c. Answer here.
Question 2: A body moves on a coordinate line such that it has a position
s(t)=t^2 -5t+4  on the interval  [0,6] in meters and t in seconds (...).  Answer here.

9/24
3.5: Derivatives of Trig Functions
Practice 08
9/29
3.6: Chain Rule
Practice 09
10/1
3.7: Implicit Differentiation
Practice 10
10/6
3.8: Derivatives of Inverse Functions and Logarithms
Practice 11
10/8
3.9: Inverse Trigonometric Functions
Practice 12
10/13
3.10: Related Rates. Practice 13.
math.libretexts.org: related rates examples.
10/15
3.11: Linearization and Differentials. Practice 14. 
10/20
Review 02.
10/22
Test 2
10/27
4.1: Extreme Values of Functions
4.2: The Mean Value Theorem
Practice 15
10/29     
4.3: Monotonic Functions and the First Derivative Test.
Practice 16
11/3
4.4: Concavity and Curve Sketching
Practice 17
11/5    
4.6: Applied Optimization
math.libretexts.org: optimization
Practice 18
11/10       
4.8: Antiderivatives
Integration of x^n - Fermat's proof
Practice 19
11/12    
Review 3 Chapter 4
11/13    
5.1  Area and Estimating with Finite Sums
5.2  Sigma Notation and Limits of Finite Sums
Practice 20
11/19    
5.3  The Definite Integral. Practice 21
Properties of definite integrals by mathopenref
11/24   
5.4  The Fundamental Theorem of Calculus
5.5: Indefinite Integrals and the Substitution Method
Practice 22
12/1      
5.6: Definite Integral Substitutions
7.1: The Logarithm Defined as an Integral
The logarithm defined as an integral by LibreText, UC Davis
Practice 23
12/3    
Review 3
12/8       
Test 3

12/10      
Final Exam Review
12/15       
Final Exam