Darryl Egley

Note: All times referenced on this page are central time.
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Grades for the 10:00am class are here. Updated 1:456pm, Thursday, May 13
Grades for the 1:00pm class are here. Updated 1:456pm, Thursday, May 13
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SYLLABUS INFO

Syllabus is Here.
The Grades Scale has been adjusted because of the ice week, so the scale listed in the syllabus is no longer in effect.
The adjusted grade scale is here.
Syllabus Discussion Video
Important Notes for the Syllabus Discussion Video:
Important Information about the Structure of the Course
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UPDATED TENTATIVE EXAM DATES
Exam III: April 20
Exam IIII & Final Exam (combined): May 11
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Textbook Info:
Perhaps the simplest way to access a copy of the text would be to start by clicking here.
This semester will cover only Chapters 1 thru 5.
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If you order the text online at https://www.cengage.com/ you might need a “WebAssign Class Key” the number is

lonestar.northharris 8377 0021

The you will receive some information including the instructor being listed as Andrea Spalding. You should be so lucky. Ignore that instructor information.

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ZOOM MEETINGS INFO

The plan is to have a Zoom meeting each
Tuesday at 10:00am – 12:20pm and 1:00pm – 3:20pm
Since I haven’t purchased the augmented Zoom capability, the meeting will be interrupted after 40 minutes.
If/when that happens, I’ll simply re-set the meeting and you can just re-enter it using the same link and info.
If there is some sort of technical glitch, look to this page for communication.
“Attendance” at these sessions is NOT required, and will certainly not be taken. They are solely for you to ask questions.
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Following this link should work for all the meetings for the semester.

If all is working well, all you’ll need to do is click on the link above.
In case you need it, the Meeting ID and Password are below:
Meeting ID: 744 259 1725
Password: calc2

(Yeah, that’s a bit of a weird password, but I set up that portion over the summer and I’m just leaving it the same.)

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Video lessons are here:

BELOW ARE ALL THE VIDEO LESSONS AND ASSIGNMENTS FOR EXAM IIII.

BELOW ARE ALL THE VIDEO LESSONS AND ASSIGNMENTS FOR EXAM III.

Calc I Chapter 3 Video Links
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Section 3.1
Extrema Intro I Intervals
Extrema Intro II Terminology
Extrema I
Extrema II
Extrema III Critical Values
Extrema Example I Polynomial
IMPORTANT NOTE: THERE IS AN ERROR IN THIS VIDEO. The solution to x-1=0 is not x = -1 (as I wrote). It is x = 1. this changes
the final result as well, since f(1) works out to be -1. Hence the Absolute minimum is at (1,-1)
Homework: Pg 171 #23 – 39 odd (omit #35) Note: For #33, the derivative does not exist at the cusp of the graph.
Review Topics to Help with Chapter 3 Homework Problems
Absolute Value and Derivatives
Section 3.1 #27, 33, 39
Section 3.1 #25, 31

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Section 3.2
Rolle’s Theorem
Mean Value Theorem
NOTE: There are no problems assigned from this section.

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Section 3.3
Increasing Decreasing Functions I
Increasing Decreasing Functions II
Increasing Decreasing Functions III
First Derivative Analysis Example I: Polynomial
First Derivative Analysis Example II: Rational
First Derivative Analysis Example III: Trigonometric
First Derivative Analysis Recap
Homework: Pg 187 #11, 15, 17, #19 – 31 odd, parts (a) & (b), #37 parts (a) & (b)
Selected Solutions:
Section 3.3 Page 187
Number 23
Number 27
Numbers 29 and 31
Numbers 41, 43, and 47

Graph Analysis Using f and f prime

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Section 3.4
Second Derivative Analysis I: Intro
Concavity
Inflection Points
Second Derivative Analysis Example I: Trigonometric
Homework: Pg 196 #5 – 13 odd, #17, 19, 21, 27, on these four items, find the inflection points, and the open intervals of concavity.
NOTE: Solutions to this Homework are Here
Second Derivative Test I: Intro Part A
Second Derivative Test II: Intro Part B
Second Derivative Test Example I: Polynomial
Second Derivative Test Example II: Polynomial
Second Derivative Test Example III: Polynomial

Second Derivative Test Example III: Polynomial – What If Scenario
Homework: Pg 196 #33, 35, 37
NOTE: Solutions to this Homework are Here

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Section 3.5
Limits at Infinity I
Limits at Infinity II
Limits at Infinity III
Limits at Infinity IIII
Homework: Pg 206 #13 – 23
NOTE: Solutions to this Homework are Here

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Section 3.7
Optimization I: Fences Down by the River
Optimization II: Fences Down by the River
Optimization III: Cut Corner Squares to Make a Box A
Optimization IIII: Cut Corner Squares to Make a Box B
SEE THE HOMEWORK BELOW. SOLUTIONS ARE COMING SOON
Here are some problems similar to the exam problems.
NOTE: Solutions to this Homework are Here

ABOVE ARE ALL THE VIDEO LESSONS AND ASSIGNMENTS FOR EXAM III.

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The lessons with content to be covered on Exam II are all BELOW this statement.
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Chapter 2:

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Section 2.1
Definition of the Derivative I
Definition of the Derivative II
Derivative Using the Definition – Example I
Derivative Using the Definition – Example II
Alternative Derivative Form I
Definition vs Alternate Form I
Derivative of Absolute Value
Pg 107
#9, 11, 13 (use the “Alternate Derivative Form” for these)
#17, 19, 21, 25, 27 (use the “Definition of the Derivative” for these)
#29, 31, 33 (do part a only on these)

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Section 2.2
Basic Derivative Rules I
Proof of Power Rule
Basic Derivative Rules II
Derivative of sin(x) and cos(x)
Homework: Pg 118 #7-26, #31-38, 39-54

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Section 2.3
Product Rule
Proof of Product Rule
Quotient Rule
Derivatives of the Trig Functions
Homework: Pg 129 #29 – 55 odd, 63(a), 65(a), 69, 71
Higher Order Derivatives
Homework: Pg 131 #91-100

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Section 2.4
Chain Rule I
Chain Rule II – Examples
Chain Rule III – More Examples
Homework: Pg 140 #9-53 odd, #71,73,75

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Section 2.5
Implicit Differentiation Intro
Implicit Differentiation I
Implicit Differentiation II
Implicit Differentiation Examples I
Note: The above video got cut off short for some reason.
Here is the second example from it worked out completely 10/7.
There also are some straggler scores from Exam I which will get posted Wednesday, too.
Implicit Differentiation Examples II
Implicit Differentiation Multiple Variables
Homework: Pg 149 #5-19 odd, #25-39 odd #45

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Section 2.6
Related Rates Intro
Related Rates Example I Sphere
Related Rates Example II Conical Pile of Sand I 10/4
Related Rates Example III Conical Pile of Sand II 10/4
Related Rates Example IIII Sliding Ladder I 10/4
Related Rates Example IIII Sliding Ladder II 10/4
Related Rates Example V Angle of Elevation 10/4
Homework: Pg 157 #11, 13a, 15, 17, 21a b & c, 25a,

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The lessons with content to be covered on Exam II are all ABOVE this statement.

The lessons with content to be covered on Exam I are all BELOW this statement.

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Chapter 1
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Note from Thursday, Feb 4: I’m trying to post solutions to the homework, but the school’s email is acting up. There will be some delay. Grrr…
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Section 1.2
Introduction to Calculus Part I
Introduction to Calculus Part II
Limits I
Limits II
Limits III
Limits IIII
Limits V
Limit Example I
Limit Example II
Limit Example III

Note: Typically the homework will come from the text, however this first assignment is one I put together as I thought the problems in the text were lacking.

Homework: Delta Epsilon Proofs I
Hints (not the entire solutions) are Here
Solutions are Here
Homework: Extra Delta Epsilon Proofs II
Hints for Part II (not the entire solutions) are Here
Solutions are Here

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Section 1.3
Evaluating Limits – Theorems
Evaluating Limits – Trigonometry
Evaluating Limits – Indeterminate Forms I
Evaluating Limits – Indeterminate Forms II Conjugates
Evaluating Limits – Indeterminate Forms III Fractions
Squeezing Theorem I
Squeezing Theorem II
Special Limit Property I
Special Limits – Difference Quotient Example I
Special Limits – Difference Quotient Example II
Special Limits – Difference Quotient Example III
Homework: pg 71 #5 – 21, #23 – 25, #47 – 61, #63 – 73
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Section 1.4
Continuity I
NOTE: There is an error in the “Continuity I” video at the 12:55 time mark.
The function I use is x squared minus 4 rather than x squared minus x.
The final result is 12 either way, and the function is continuous either way, but it’s still an error.
Continuity II
One-Sided Limits I
Properties of Continuity
Find the Discontinuity I
Find the Discontinuity II
Find the Discontinuity III
Homework: Pg 84, #39-52, #59-61
Solutions to this homework are Here.
I copied problem #51 wrong. Please ignore my solution.

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Section 1.5
Infinite Limits I 9/2
Infinite Limits II 9/2
Infinite Limits III 9/4
Infinite Limits IIII 9/4
Infinite Limits V 9/4
Infinite Limits VI 9/4
Homework: 92 #37 – 45

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