Illinois State University Mathematics Department

MAT 146: Calculus I I

Dr. Roger Day (day@ilstu.edu)


Here are links to the PowerPoint slides used each day in class. For many class sessions shown here, there also are links to in-class activities and handouts as well as any take-home assignments.

Daily Plans, Content Notes, and Course Activities
Monday

Wednesday
Thursday
Friday
Day #1 8/22/16
Derivative/Integral Recall & Solutions

Day #2 8/24/16  Methods of Integration: U-Substitution (5.5)
U-Substitution (5.5) Examples & Solutions
Day #3 8/25/16
Quiz #1: Ch 3 Review & Solution Guide
Review: Big Ideas From Calc I
Day #4 8/26/16  Area Between Curves (6.1)
Practice: Area Between Curves (6.1) & Solutions
Strategies: Area Between Curves
Day #5 8/29/16  Average Value of a Function (6.5)

Day #6 8/31/16  Average Value of a Function (6.5)
Quiz #2: Ch 3/4 Review & Solution Guide
Day #7 9/01/16  Volumes of Solids: Rotations and Cross Sections (6.2,6.3)
Volumes Examples #1, #2, #3 & Solutions
Day #8 9/02/16  Continue 6.2/6.3
Dynamic Volume Demos:  A  B  C  D  E
Quiz #3: Ch 3/4/5 Review & Solution Guide
Day #9 9/05/16
Labor Day: No ISU Classes

Day #10 9/07/16  Continue 6.2/6.3 (Cross Sections)
cross-section example and solution
Day #11 9/08/16  Methods of Integration: Integration by Parts (7.1)
In-Class Examples & Solutions
Day #12 9/09/16 Trig Integrals (7.2)
Review: Derivatives and Integrals of Inverse Trig Functions
WebAssign Quiz #4: due Sunday night!

Day #13 9/12/16  Trig Integrals (7.2)
Trig Integrals Examples & Solutions
Trig Identities (Guide Sheet)

Day #14 9/14/16  Trig Substitution (7.3)
More Trig Integrals Examples & Solutions
Review Session for Test: STV 346 @ 7 pm
Day #15 9/15/16
Test #1 Part I & Solution Guide (location: WIH 128) (go here for previously administered tests)
Day #16 9/16/16
Test #1 Part II & Solution Guide (location: WIH 128)
(go here for previously administered tests)





Day #17 9/19/16  Trig Substitution (7.3)
Examples and Solutions

Day #18 9/21/16
Trig Sub Practice & Solutions
Day #19 9/22/16  Partial-Fraction Decomposition (7.4)
Day #20 9/23/16
Quiz #5 & Solution Guide
Day #21 9/26/16
Partial-Fraction Decomposition: Practice & Solutions

Day #22 9/28/16  Improper Integrals (7.8)

Day #23 9/29/16
Please keep up with assigned WA tasks! Email me with questions.
Day #24 9/30/16
WA Quiz #6 opens at class time today, due Sunday at midnight.
Day #25 10/03/16
Please keep up with assigned WA tasks! Email me with questions.

Day #26 10/05/16
Improper Integrals (7.8):  Sample Solutions
Arc Length (8.1)
Day #27 10/06/16
Arc Length (8.1): Solutions to PPT Examples

Day #28 10/07/16  Probability (8.5)
Arc Length Warm Up & Solution

Day #29 10/10/16
Probability Density Functions (8.5): Two Requirements; Cell-Phone Example and Solutions

Day #30 10/12/16
Yom Kippur Observance
Day #31 10/13/16
Two Particular Probability Functions (8.5): (i) Wait-Time distribution (aka: negative exponential distribution); (ii) Normal distribution (aka normal curve, aka Gaussian distribution)
Day #32 10/14/16  Intro differential equations 9.1)
What is a differential equation? What do we mean by a solution to a differential equation?
Day #33 10/17/16
What is a solution to a differential equation? How can we verify a solution?

Day #34 10/19/16
DE Solutions: Slope Fields (9.2)
Previously Administered Tests
Review Session for Test #2: 6:15-7:30, STV 352
Day #35 10/20/16
Test #2 Part I (WIH 128) & Solution Guide
Day #36 10/21/16
Test #2 Part II (WIH 128) & Solution Guide





Day #37 10/24/16
Slope Fields (9.2)  SF Plotters: (#1)  (#2)
Euler's Method (9.2)  EM Calculators: (#1)  (#2)  (#3)

Day #38 10/26/16
Calculator Help: Differential Equations
Day #39 10/27/16
Separable Differential Equations (9.3)
Day #40 10/28/16
Differential Equations Application: Newton's Law of Cooling (Ch 9)
Day #41 10/31/16
No Class Session: Dr. Day leading a Workshop at an NCTM Regional meeting in Philadelphia

Day #42 11/02/16
Differential Equations Applications (Ch 9)
Day #43 11/03/16
Differential Equations Application: Newton's Law of Cooling (Ch 9)
Data Set: Cooling Temps (Example #1)
Data Set: Cooling Temps & Warming Temps (Example #2)
Day #44 11/04/16
Differential Equations: Mixtures, Rumors, and More!
Sample Mixture Solutions: (#1)  (#2)
Day #45 11/07/16
Begin Chapter 11: Infinite Sequences and Series
Xeno's Paradox (Stanford U)  Xeno's Paradox (video)

Day #46 11/09/16
What is a Sequence? (11.1-a) (11.1-b)
What is a Series? (11.2-a) (11.2-b) (11.2-c)
Extra-Credit Option: Differential Equations Applications (due Mon 11/14/16)
Day #47 11/10/16
What is a Series? (11.2) (11.2-a) (11.2-b) (11.2-c)
Extra-Credit Option: Differential Equations Applications (due Mon 11/14/16)

Online Infinite Series Analyzer (Wolfram)
Day #48 11/11/16
Convergence Tests (Chapter 11)
* nth-Term Test (aka Divergence Test) (11.2) (A) (B)
* Integral Test (11.3)
Quiz #8: Differential Applications (Ch 9) and Intro to Sequences/Series (11.1 & 11.2) & Solutions
Day #49 11/14/16

Extra-Credit Option: Differential Equations Applications (due today!) and Solutions

Day #50 11/16/16
Integral Test (11.3)
Review Session for Test #3: 6:30-7:30, STV 350A
Day #51 11/17/16
Test #3 Part I (WIH 128) & Solution Guide
Day #52 11/18/16
Test #3 Part II (WIH 128) & Solution Guide
Day #53 11/21/16
Fall Break: No ISU Classes

Day #54 11/23/16
Fall Break: No ISU Classes
Day #55 11/24/16
Thanksgiving: No ISU Classes
Day #56 11/25/16
Fall Break: No ISU Classes
Day #57 11/28/16
The Integral Test (11.3)

Day #58 11/30/16
The Comparison Tests: The Limit Comparison Test and The Comparison Test (11.4)
Day #59 12/01/16
Alternating Series, the Alternating Series Test, and Absolute Convergence (11.5)

More Examples of Convergence/Divergence Proofs (#1 & Solutions)  (#2 & Solutions)  (#3 and Solutions)  (#4 and Solutions)  (#5 & Solutions)
Day #60 12/02/16
Absolute Convergence (11.5)
The Ratio Test and the nth-Root Test (11.6)
Day #61 12/05/16
nth-Root Test (11.6)
Convergence Proofs (11.7) In-Class Examples & Solutions
Power Series (11.8)

Day #62 12/07/16

Power Series (11.8)
Day #63 12/08/16
Power Series (11.8)
New Functions From Old (11.9)
Day #64 12/09/16    Last Day MAT 146
Taylor Series (11.10)

Exam Practice: Power Series & Taylor Series and Solutions





Semester Exam: Wednesday December 14, 2016
10 am - 12:40 pm
STV 229


Syllabus, Schedule, and More

Get the current syllabus, the semester schedule, WebAssign information, Mathematics Department Writing Guidelines, and more information about the course.
Course Resources

Here are links to activities carried out in class or assigned for out-of-class completion, solution guides for some activities, and links to other useful resources such as calculator tutorials.
  Content Notes

PowerPoint slides from the textbook publisher are here, section by section, for the content of Calculus II. Use these to review and reinforce class notes and activities. Other content links are also here.
Quizzes and Tests

Go here to review assessments and solution guides from the current semester and use links to assessments from previous semesters.