Illinois State University Mathematics Department

MAT 146: Calculus  II

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 take-home assignments.

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.


Daily Plans (PowerPoint Slides) and Course Activities
Monday
Wednesday
Friday
Day #1 1/15/18
No Class Session
Dr. Martin Luther King, Jr National Holiday
Day #2 1/17/18
Integration Techniques: U-Substitution (Sec 5.5)
Warm Up!
U-Sub Problems and Solutions

Big Ideas from Calc I
Extended Homework A (due Monday 1/22 at start of class)
Day #3 1/19/18
Integration Techniques: U-Substitution (Sec 5.5)
U-Sub Problems and Solutions
More U-Sub Practice!
Integration Applications: Area Between Curves (Sec 6.1)

Quiz #1: Calc I Review (Ch 3) and Solutions
Day #4 1/22/18 Due Today: Extended Homework A
Integration Applications: Area Between Curves (Sec 6.1)
Area Between Curves: Examples  &  Solutions
Strategies: Solving Area-Between-Curves Problems

Average Value of a Function (Sec 6.5)

Quiz #2: Calc I Review (Chs 3,4) and Solutions
Day #5 1/24/18
Average Value of a Function (Sec 6.5)

Volumes of Solids (6.2/6.3)

Quiz #3
: Calc I Review (Chs 3,4,5) and Solutions

Solutions for Extended Homework A
Day #6 1/26/18
Average Value of a Function (Sec 6.5)

Volumes of Solids (6.2/6.3)


Quiz #4: via WebAssign, due Sunday night (1/28/18) @ midnight
Day #7 1/29/18

Volumes of Solids (6.2/6.3)
Volumes Examples #1, #2, #3 & Solutions
Dynamic Volume Demos:  A  B  C  D  E

Day #8 1/31/18

Volumes by cross-section: example and solution

Using Calculus: Volume of a Cone
Using Calculus: Volume of a Sphere
Day #9 2/02/18
Methods of Integration: Integration by Parts (7.1)
In-Class Examples & Solutions

Quiz #5 and Solutions
Day #10 2/05/18
Methods of Integration: Integration by Parts (7.1)
In-Class Examples & Solutions

Review: Derivatives and Integrals of Inverse Trig Functions

Trig Identities (Guide Sheet)
Day #11 2/07/18
More Practice: Integration by Parts with Solution links

Review: Derivatives and Integrals of Inverse Trig Functions
Trig Identities (Guide Sheet)
Trig Integrals (7.2)
Trig Integrals Examples & Solutions

More Trig Integrals Examples & Solutions
Day #12 2/09/18
Alert! Attention!
Prep-For-Test #1 Review Session
Thursday, 2/8/18, 6:30 pm, STV 211


Test #1 (Part I and Part II) (STV 211) and Solutions

Extended Homework B and Bonus (and Solutions) Due Monday 2/12/18!
Day #13 2/12/18
Extended Homework B Due Today!
Trig Integrals (7.2)
More Trig Integrals Examples & Solutions

Trig Substitution (7.3) Examples and Solutions
Trig Sub Practice & Solutions
Day #14 2/14/18
In-Class Check I and Solutions  (Trig Integrals 7.2)

Trig Substitution (7.3) Examples and Solutions
Trig Sub Practice & Solutions

Partial-Fraction Decomposition (7.4) Examples and Solutions
Day #15 2/16/18

Trig Substitution (7.3) Examples and Solutions
Trig Sub Practice & Solutions

Quiz #6: via WebAssign, due Sunday night (2/18/18) @ midnight
Day #16 2/19/18
Partial-Fraction Decomposition (7.4) Examples and Solutions

Improper Integrals (7.8) Sample Solutions

In-Class Check II and Solutions (Methods of Integration)
Day #17 2/21/18

Partial-Fraction Decomposition (7.4) Examples and Solutions

Improper Integrals (7.8) Sample Solutions
Day #18 2/23/18

Improper Integrals (7.8) Sample Solutions

Arc Length (8.1)

Quiz #7: Methods of Integration and Solutions
Day #19 2/26/18

Arc Length (8.1)   Solutions to PPT Examples

Probability (8.5)
Day #20 2/28/18
Arc Length Warm Up & Solution
Probability (8.5)
Day #21 3/02/18
Probability (8.5)

Wait-Time Warm-Up (8.5) and Solutions

What it Means to Solve a Differential Equation (9.1)
Day #22 3/05/18
In-Class Check III and Solutions (Probability)

What it Means to Solve a Differential Equation (9.1)

Day #23 3/07/18
Differential Equations: Graphical Solutions  (9.2)

Differential Equations: Numerical Solutions  (9.2)

Day #24 3/09/18

Test #2 Part I and Part II (STV 211) and Solutions
Day #25 3/12/18
ISU Spring Break: No Classes
Day #26 3/14/18
ISU Spring Break: No Classes
Day #27 3/16/18
ISU Spring Break: No Classes
Day #28 3/19/18
Differential Equations: Graphical Solutions  (9.2)
Slope Fields (Practice)

Slope Field Plotter #1 Slope Field Plotter #2
Desmos Slope Fields  GeoGebra SF Plotter
Day #29 3/21/18
Differential Equations: Numerical Solutions  (9.2)

Euler's Method Calculator #1  Wolfram Alpha EM Calc  One More EMC
Calculator Links for Euler's Method

Differential Equations: Analytical Solutions (9.3)
Day #30 3/23/18
Differential Equations: Analytical Solutions (9.3)

Differential Equations: Problems and Applications

Quiz #9: via WebAssign, due Sunday night (3/25/18) @ midnight
Day #31 3/26/18


Differential Equations: Problems and Applications
Day #32 3/28/18

Differential Equations Application: Newton's Law

Intro Task: Ch 11 Sequences and Series
Day #33 3/30/18
Intro Task: Ch 11 Sequences and Series


Quiz #10: via WebAssign, due Sunday night (4/1/18) @ midnight
Day #34 4/02/18

Sequences, Series, and Partial Sums (11.1, 11.2)

Day #35 4/04/18
Sigma Notation
Geometric Series
Harmonic Series


In-Class Check IV and Solutions (Sequences & Series Intro)
Day #36 4/06/18
Telescoping Series

Convergence Tests: (a) The Divergence Test  (b) The Integral Test

Quiz #11: Sequences and Series (11.1 and 11.2) and Solutions
Day #37 4/09/18

Convergence Tests

Geometric Series Test (11.2)
Divergence Test (11.2)
Integral Test (11.3)
p-Series Test (11.3)
Day #38 4/11/18

Convergence Tests
Direct Comparison Test (11.4)
Limit Comparison Test (11.4)
Alternating Series Test (11.5)
Day #39 4/13/18
Conditional and Absolute Convergence (11.5-11.6)

Convergence Tests

Ratio Test (11.6)
Root Test (11.6)

Quiz #12: Convergence Tests (11.3-11.6) and Solutions
Day #40 4/16/18
Convergence Proofs (11.7)  

Today's In-Class Practice Set and Solutions

More Examples of Convergence/Divergence Proofs
(#1 & Solutions)  (#2 & Solutions)
(#3 and Solutions)  (#4 and Solutions)
(#5 & SolutionsIn-Class Examples & Solutions

Online Infinite Series Analyzer (Wolfram)

Power Series: Interval and Radius of Convergence (11.8)
Power Series: Function Re-Expression (11.9)
Day #41 4/18/18

Power Series: Interval and Radius of Convergence (11.8)
Power Series: Function Re-Expression (11.9)


Taylor Series and Maclaurin Series (11.10)
Day #42 4/20/18

Test #3 Part I and Part II (STV 211) and Solutions
Day #43 4/23/18


Day #44 4/25/18

New Functions From Old: Notes for WA due Thursday!
Day #45 4/27/18
Day #46 4/30/18

NCTM Week Asmt 3, due as class begins today: Study this video and then respond to these prompts.

Power Series: Function Re-Expression (11.9)

Taylor Series and Maclaurin Series (11.10)

Day #47 5/02/18

Taylor Series and Maclaurin Series (11.10)

Taylor Series Expansion Examples (2)

More Taylor Series Notes and Examples: (I)  (II)
Day #48 5/04/18

Taylor Series Exam Practice Page and Solutions




End-of-Semester Review Session: Monday, May 7, 5:30 pm - 6:30 pm, STV 311

Semester Exam: Wednesday, May 9, 2018: 1 pm - 3:40 pm,
STV 219