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SYLLABUS INFO
Syllabus is Here
Syllabus Discussion Video
Important Information about the Structure of the Course
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Grades are Here:
I earlier had an erroneous post for the Monday Class. It is corrected now,
Monday Class Final Grades Updated 13 December.
Tuesday Class Final Grades Updated 11 December.
Wednesday Class Final Grades Updated 11 December.
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TENTATIVE EXAM DATES
TENTATIVE EXAM DATES
Exam I: February 16
Exam II: March 9
Exam III: April 13
Exam IIII: May 4
Final Exam: 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. Ignore that.
I have set up a special “. . . @yahoo.com” email address for each class. Information regarding this is here.
ZOOM MEETINGS INFO
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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 that portion up over the summer and I’m just leaving it the same.)
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Video Lessons are Here:
The date after each video indicates the date it was uploaded. Hopefully that will help
you keep track of what lessons you have watched.
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BELOW ARE ALL THE VIDEO LESSONS AND ASSIGNMENTS FOR EXAM IIII.
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Calc I Chapter 4 Video Links
Section 4.1
Antiderivatives I: Intro 11/10
Antiderivatives II: Several Polynomial Examples 11/10
Antiderivatives III: Terminology and Notation for Integrals 11/10
Antiderivatives IIII: Integrals with Power Rule 11/10
Antiderivatives V: Integral Basic Forms and Trigonometric Rules 11/10
Antiderivatives VI: Integral Examples with Power Rule and Trigonometric Forms 11/10
Antiderivatives VII: Finding C 11/10
Antiderivatives VIII: position velocity acceleration 11/10
Homework: Pg 255 #11-35 odd
Solutions to this Homework are here.
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Sections 4.2 and 4.3
Riemann Sums I: Intro and Partitions Part A 11/10
Riemann Sums II: Partitions Part B and Norm 11/10
Riemann Sums III: Partitions Refinement 11/10
Riemann Sums IIII: Constructing the Sum 11/10
Riemann Sums V: Constructing the Sum a Particular Example 11/10
Riemann Sums VI: The Definite Integral 11/10
Riemann Sums VII: Regular Partitions and Definite Integral Notation 11/10
No assignment for these secitons.
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Section 4.4
The Fundamental Theorem I 11/10
The Fundamental Theorem II 11/10
Originally I had a video repeated here.
I have it corrected and the following is now the correct video for The Fundamental Theorem III.
The Fundamental Theorem III
The Fundamental Theorem IIII 11/10
The Fundamental Theorem V 11/10
The Fundamental Theorem VI 11/10
The Fundamental Theorem VII 11/10
Properties of Definite Integrals I 11/10
Properties of Definite Integrals II 11/10
Properties of Definite Integrals III 11/10
Properties of Definite Integrals IIII 11/10
Homework Pg 292 #9-49 odd
Solutions to this Homework are here.
Here is a correction to #27.
Also, because a student asked, there are solutions to #47 and #49, however, on the Exam, I will NOT be asking you integration problems involving Absolute Value.
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Section 4.5
Integration by Substitution Introduction I ( 11/18)
Integration by Substitution Introduction II ( 11/18)
Integration by Substitution I 11/10
Integration by Substitution II 11/10
Integration by Substitution III 11/10
Integration by Substitution IIII 11/10
Integration by Substitution V 11/10
Integration by Substitution VI 11/10
Integration by Substitution VII: Definite Integrals 11/10
Homework Pg 305 #9-29 odd, #39-45 odd. also #53, 54. also #61-67 odd
Solutions to this Homework are here. ( 11/20)
Corrections for one problem’s solution are here.
Knowledge of this section is of particular importance if you are going on to Calc II.
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Calc I Chapter 5 Video Links
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Section 5.1
Logs and Exponentials I: Intro Area So Far 11/14
Logs and Exponentials II: Definition of Natural Log 11/14
Logs and Exponentials III: Definition of e 11/14
Logs and Exponentials IIII: The Derivatives 11/14
Logs and Exponentials V: Derivative Examples with Natural Log 11/14
Homework: Pg 321 #43-61 odd, #67a, #69a, #73a
Solutions to this Homework are Here.
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Sec 5.4
Logs and Exponentials VI: Derivative Examples with e^x 11/14
Logs and Exponentials VII: Antiderivative of e^x and Natural Log 11/14
Integration with Natural Log Rule (posted 11/19)
Homework: Pg 330 #5-25 odd #51 – 57 odd (posted 11/19)
Solutions to this Homework are Here (posted 11/19)
Corrections for one problem’s solution are here.
Inverse Trig Derivatives I 11/14
Inverse Trig Derivatives II 11/14
Inverse Trig Derivatives III 11/14
Differentials 11/14
Several examples of Solve for M Type Problems are Here.
Integration involving the Exponential Function (posted 11/19)
Homework Pg 348 #33-51 odd #55, 57 65 #91-113 odd
Solutions to this homework are here. (posted 11/19)
Integration with Sine Inverse (posted 11/19)
Integration with Tangent Inverse (posted 11/19)
Integration with Secant Inverse (posted 11/19)
ABOVE ARE ALL THE VIDEO LESSONS AND ASSIGNMENTS FOR EXAM IIII.
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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 10/21
Extrema Intro II Terminology 10/21
Extrema I 10/21
Extrema II 10/21
Extrema III Critical Values 10/21
Extrema Example I Polynomial 10/21
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 10/28
Absolute Value and Derivatives 10/28
Section 3.1 #27, 33, 39 10/28
Section 3.1 #25, 31 10/28
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Section 3.2
Rolle’s Theorem 10/21
Mean Value Theorem 10/21
NOTE: There had been a couple problems assigned from this section, but I am eliminating them. Sorry for the mix-up.
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Section 3.3
Increasing Decreasing Functions I 10/21
Increasing Decreasing Functions II 10/21
Increasing Decreasing Functions III 10/21
First Derivative Analysis Example I: Polynomial 10/21
First Derivative Analysis Example II: Rational 10/21
First Derivative Analysis Example III: Trigonometric 10/21
First Derivative Analysis Recap 10/21
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 10/30
Number 27 10/30
Numbers 29 and 31 10/30
Numbers 41, 43, and 47 10/31
Graph Analysis Using f and f prime 10/21
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Section 3.4
Second Derivative Analysis I: Intro 10/21
Concavity 10/21
Inflection Points 10/21
Second Derivative Analysis Example I: Trigonometric 10/21
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 11/4
Second Derivative Test I: Intro Part A 10/21
Second Derivative Test II: Intro Part B 10/21
Second Derivative Test Example I: Polynomial 10/21
Second Derivative Test Example II: Polynomial 10/21
Second Derivative Test Example III: Polynomial
10/21
Second Derivative Test Example III: Polynomial – What If Scenario 10/21
Homework: Pg 196 #33, 35, 37
NOTE: Solutions to this Homework are Here 11/4
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Section 3.5
Limits at Infinity I 10/21
Limits at Infinity II 10/21
Limits at Infinity III 10/21
Limits at Infinity IIII 10/21
Homework: Pg 206 #13 – 23
NOTE: Solutions to this Homework are Here 11/4
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Section 3.7
Optimization I: Fences Down by the River 10/21
Optimization II: Fences Down by the River 10/21
Optimization III: Cut Corner Squares to Make a Box A 10/21
Optimization IIII: Cut Corner Squares to Make a Box B 10/21
SEE THE HOMEWORK BELOW. SOLUTIONS ARE COMING SOON
Here are some problems similar to the exam problems. 11/4
NOTE: Solutions to this Homework are Here 11/4
ABOVE ARE ALL THE VIDEO LESSONS AND ASSIGNMENTS FOR EXAM III.
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Chapter 2:
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Section 2.6
Related Rates Intro 10/2
Related Rates Example I Sphere 10/2
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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Section 2.5
Implicit Differentiation Intro 9/30
Implicit Differentiation I 9/30
Implicit Differentiation II 9/30
Implicit Differentiation Examples I 9/30
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 9/30
Implicit Differentiation Multiple Variables 9/30
Homework: Pg 149 #5-19 odd, #25-39 odd #45
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Section 2.4
Chain Rule I 9/29
Chain Rule II – Examples 9/29
Chain Rule III – More Examples 9/29
Homework: Pg 140 #9-53 odd, #71,73,75
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Section 2.3
Product Rule 9/27
Proof of Product Rule 9/27
Quotient Rule 9/27
Derivatives of the Trig Functions 9/27
Homework: Pg 129 #29 – 55 odd, 63(a), 65(a), 69, 71
Higher Order Derivatives 9/29
Homework: Pg 131 #91-100
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Section 2.2
Basic Derivative Rules I 9/24
Proof of Power Rule 9/24
Basic Derivative Rules II 9/24
Derivative of sin(x) and cos(x) 9/24
Homework: Pg 118 #7-26, #31-38, 39-54
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Section 2.1
Definition of the Derivative I 9/7
Definition of the Derivative II 9/7
Derivative Using the Definition – Example I 9/7
Derivative Using the Definition – Example II 9/7
Alternative Derivative Form I 9/7
Definition vs Alternate Form I 9/7
Derivative of Absolute Value 9/7
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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The lessons covering content to be covered in Exam I are all below this statement.
Any videos above this statement DO NOT COVER CONTENT FOR FOR EXAM I.
Chapter 1
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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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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.
Aaaugh! I copied problem #51 wrong. Please ignore my solution.
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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
Homework: pg 71 #5 – 21, #23 – 25, #47 – 61, #63 – 73
New videos (added August 31) for Section 1.3
Special Limits – Difference Quotient Example I
Special Limits – Difference Quotient Example II
Special Limits – Difference Quotient Example III
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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