31fa25.htm, Fall 2025, MAT131 Notes

MAT131 Fall 2025 Notes
mathnstuff.com/math/calc/MAT131fa25/31fa25.htm
© 2025 A², Agnes Azzolino

Welcome to Calc I!

Hi,: Please read: Things You Should Know About How This Course Is Run
and decide if this is really the course you wish. The page
"Assignments, Quizzes, Tests, Grading and Cheating"
might also help you to make that decision.; This course covers the following:

The arithmetic you need to "compute a limit."
Limits -- some calculus arithmetic
Derivatives -- the limit of the difference quotient and other short cuts,
& techniques, and the meaning and use of the instantaneous rate of change.
Applications of derivatives -- graphing functions, finding maximum and
minimum function values.
More arithmetic and calculus arithmetic.
Antiderivatives and Integrals -- undoing derivatives, computing cumulative
functions including computing areas.
More sophisticated antiderivative techniques.

Contact me through the pink box on www.mathnstuff.com/math/math.htm
or the phone number listed on you CANVAS class home page.
Have a wonderful semester, A²

Course Outline & Material To Be Printed for Class Meeting

T9/2, W9/3, Th9/4 pg.1 - An Introduction to Limits (1.1) pg. 1,: & Finding Limits Analytically (1.3) pg. 18; #1. Limits connect-the-dots and fake quiz

F9/5 pg. 1.5 - Letter, Q1

M9/8, T9/9 pg.2 - Finding Limits Analytically (1.3), pg. 18: #1. Limits connect-the-dots

W9/10, Th9/11 pg. 3 - One-Sided Limits and Continuity (1.4-1.5): #1. Limits connect-the-dots; One-Sided Limits and Continuity (1.4-1.5), pg. 30, 37

M9/15, T9/16 pg. 4 - Limits Involving Infinity (1.6): #1. Limits connect-the-dots; Limits Involving Infinity (1.6), pg. 46

W9/17, Th9/18 pg. 5 - SUMMARY PRESENTATIONS

F9/19 pg.5.5 - OUT-OF-CLASS TEST 1 (10% of course grade) on: 1.1, 1.3, 1.4, 1.5, 1.6, Due 11:59 PM

M9/22, T9/23 pg. 6 - Instantaneous Rates of Change and: Interpretations of the Derivative (2.1-2.2), pg. 59; # 4. Derivatives Connect-the-dots

W9/24, Th9/25 pg. 7- Basic Differentiation Rules (2.3), pg. 82: # 2. BLANK Basic Derivatives

F9/26 pg. 7.5 - Q2 Instantaneous & Average Rates of Change, Basic Derivatives: Q2 - limits, basic derivatives

M9/29, T9/30 pg. 8- The Product and Quotient Rules (2.4), pg. 89: # 4. Derivatives Connect-the-dots

W10/1, Th10/2 pg. 9 - SUMMARY PRESENTATIONS

F10/3 pg. 9.5 - OUT-OF-CLASS TEST 2 (10% of course grade) on: Ch 2.1, 2.2, 2.3, 2.4 -- about40 minutes

M10/6, T10/7 - The Chain Rule (2.5), pg. 100: # 4. Derivatives Connect-the-dots; # 4b. chain.rule

W10/8, Th10/9 pg. 10 - More Chain Rule, pg. 100: # 4. Derivatives Connect-the-dots; # 4b. chain.rule

F10/10 pg. 10.5 - Q3 Chain Rule, due at 11:59 PM

T10/14, W10/15 pg. 11 -Implicit Differentiation (2.6), pg. 111: Implicit Differentiation Page

Th10/16, M10/20 pg. 12 - Related Rates (4.2), pg. 174: Related Rates Page

T10/21, W10/22 pg. 13 - Derivatives of Inverse Functions (2.7), pg. 122: # 5. Pre Derivatives of
Inverse Functions Review

F10/24 pg. 13.5 - Q4 Derivatives of Inverse Functions, due at 11:59 PM

Th10/23, M10/27 pg. 14 - Extreme Values and the Mean-Value Theorem: (3.1-3.2), pg. 129, 137; # 6. How to Graph

T10/28, W10/29 pg. 14.5 - Increasing and Decreasing Functions, pg. 142

Th10/30, M11/3pg. 15 - Concavity and the Second Derivative (3.3-3.4), pg. 151>

T11/4, W11/5 pg. 16 - Curve Sketching (3.5), pg. 159: function emojis, curve sketching

Th11/6, M11/10 pg. 17 - Optimization and Differentials (4.3-4.4), pg. 181, 188: # 7. Definite Integrals Textbook Exercises; Optimization and Differentials (4.3-4.4), pg. 181, 188

W11/12, Th11/13 pg. 18 - TEST 3 in class

T11/11x, F11/14 - Antiderivatives and the Indefinite Integral (5.1), pg. 197: # 7. Textbook Exercises,; # 8. Integration Connect-the-dots; # 10. Antiderivatives Notes

M11/17 pg. 20 - Definite Integrals (5.2), pg. 207: # 7. Textbook Exercises

T11/18, W11/19 pg. 21- Riemann Sums (5.3), pg. 218: Reimann pdf; # 9. Summation Connect-the-dots

Th11/20, M11/24 pg. 22 - The Fundamental Theorem of Calculus (5.4), pg. 236: # 7. Textbook Exercises,; # 8. Integration Connect-the-dots

T11/25, W11/26 pg. 23 - Substitution (6.1), pg. 263: Antiderivative by Substitution

M12/1, T12/2 pg. 24 - Area Between Curves (7.1), pg. 354: # 14. Area Between Curves; # 15. Some T4 Review Questions

W12/3, Th12/4 pg. 25 - TEST 4 in class

M12/8, T12/9 pg. 26 - Grades & SUMMARY PRESENTATIONS

In BOTH Zoom & Internet-Only Sections, REQUEST REQUIRED!
REQUEST REQUIRED!
W12/10, Th12/11 pg. 27 - EXAM in class

	Fall 2025, EVERYONE: Office 1:00 - 3:30 pm M/W (By APPOINTMENT ONLY)  

	
		https://middlesexcollege-edu.zoom.us/j/99104080068		
 Calc I, BLUE & PURPLE, M & W 10:00 - 11:50 AM Zoom meeting: 
	
	
		https://middlesexcollege-edu.zoom.us/j/99927405084

First Day Intro to Course: Fall 2025: Prof's Office, Schedule, Office Hours, Pink Box (for messages)
EVERYONE: Office 1:00 - 3:30 pm M/W (By APPOINTMENT ONLY)
https://middlesexcollege-edu.zoom.us/j/99104080068
Calc I, BLUE & PURPLE, M/T/W/Th 10:00 - 11:50 AM Zoom meeting:
https://middlesexcollege-edu.zoom.us/j/99927405084; Letters to Students & Reply -- Things You Should Know About How This Course Is Run; Assignments, Quizzes, Tests, Grading and Cheating; Quiz/Test Instructions --- I have provided the link for the video on how to complete the assignments.
It is at https://www.youtube.com/watch?v=k_qpuOz6w5k
At 22:04 minutes in, Q1 begins.
At 25:03 minutes in, #2 of Q1begins.
At 30:15 minutes in, how to attach a file and send email.; projects/presentations; Quiz 1, Q1 & Letter Assignments, Due 11:59 PM, September 5, 2025

Resources:

Graph papers
Three Regular Planes Graph Paper
Three Trig Planes Graph Paper

Calc TEXTBOOK Info
Calc DownLoad or View the Text
Calc MyOpenMath

$calc1$

Calc Fall 2025. pdf
Calc I Cheat Sheet jpg

TI-83 Plus Calculator Emulation https://archive.org/details/ti83p-calculator/
Equation solving calculator https://www.symbolab.com/solver/equation-calculator/
Graphing Tool https://goodcalculators.com/graphing-calculator/
Applications Calculator https://goodcalculators.com/
Derivative Calculator https://www.derivative-calculator.net/

Summation Calculator https://goodcalculators.com/summation-calculator/
Integral Calculator https://www.integral-calculator.com/
All Math Courses Calculators https://www.emathhelp.net/calculators/ FREE: TI-83 Excel Sketchpad