Broward College
Central Campus. Textbook: University Calculus (4th Ed.), Pearson.

Syllabus MAC2311:
TR, 8:30 am-10:35 am
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MIT Calc I video lectures

Calculus.org
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Calculus I Video Lectures

University of British Columbia, Calculus Notes

UC Davis:
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Dr. Vogel's Gallery
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Millersville University:
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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
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Math in depth... Klein Bottle Hilbert Space ### MAC2311: Calculus and Analytic Geometry I Fall of 2020. Instructor: Carlos Sotuyo APEX Calculus: file - link Univ of Wisconsin, Notes: file - linkActivities

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] 8/27
2.2: Limits of Functions and Limit Laws. Notes 02.
Practice 02. [Students work in groups]
HW qns on limits | To be discussed in class.
9/1
2.3: The Precise Definition of a Limit. Notes 03. Notes on Absolute values (review).
Practice 03 [Students work in groups]
2.3 HW_questions to be discussed in class.
LibreTexts Epsilon-Delta definition of limit at UCDavis.
9/3
2.4: One-Sided Limits; 2.5: Continuity. Notes 04.
Practice 04 [Students work in groups]
9/8
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]
9/10
Review 01
Two limits (examples)
9/15 Test 1

## 9/17
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]
9/22
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.
Practice 07 [Students work in groups]
9/24
3.5: Derivatives of Trig Function. Notes 08.
Practice 08 [Students work in groups]
9/29
3.6: Chain Rule. Notes 09.
Practice 09 [Students work in groups]
10/1
3.7: Implicit Differentiation. Notes 10.
Practice 10 [Students work in groups]
10/6
3.8: Derivatives of Inverse Functions and Logarithms. Notes 11.
Practice 11 [Students work in groups]
10/8
3.9: Inverse Trigonometric Functions. Notes 12.
Practice 12 [Students work in groups]
10/13
3.10: Related Rates. Notes 13.
Practice 13 [Students work in groups] Practice 13Ans
math.libretexts.org: related rates examples.
10/15
3.11: Linearization and Differentials. Notes 14.
Practice 14 [Students work in groups]
10/20
Review 02.

10/22 Test 2
10/27
4.1, 4.2: Extreme Values of Functions. The Mean Value Theorem. Notes 15.
Practice 15 [Students work in groups]
10/29
4.3: Monotonic Functions and the First Derivative Test. Notes 16.
Practice 16 [Students work in groups]
11/3
4.4: Concavity and Curve Sketching. Notes 17.
Practice 17 [Students work in groups]
11/5
4.6: Applied Optimization. Notes 18. Examples.
Setion 4.6 HW Qns
math.libretexts.org: optimization
Practice 18
11/10
4.8: Antiderivatives. Notes 19.
Integration of x^n - Fermat's proof
Practice 19
11/12
Review 3 Chapter 4
11/17
5.1  Area and Estimating with Finite Sums
5.2  Sigma Notation and Limits of Finite Sums. Notes 20
Practice 20
11/19
5.3  The Definite Integral. Notes 21
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. Notes 22
Practice 22
12/1
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
12/3
Review 4 Chapter 5
12/8
Test 3

12/10
Final Exam Review
12/15
Final Exam