Illinois State University Mathematics Department

MAT 146: Calculus II

Dr. Roger Day (

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.

PowerPoint Slides from the Textbook Publisher
Chapter 5 Publisher Slides (PPT): 5.5
Chapter 6 Publisher Slides (PPT): 6.1, 6.2, 6.3, 6.4, 6.5
Chapter 7 Publisher Slides (PPT): 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8
Chapter 8 Publisher Slides (PPT): 8.1, 8.2, 8.3, 8.4, 8.5
Chapter 9 Publisher Slides (PPT): 9.1, 9.2, 9.3, 9.4, 9.5, 9.6
Chapter 11 Publisher Slides (PPT): 11.1, 11.2, 11.3, 11.4, 11.511.6, 11.7, 11.8, 11.9, 11.10, 11.11

Instructor's Content Notes

Chapter 5: Integrals
Chapter 6: Integration Applications
Chapter 7: Techniques of Integration
Methods of Integration: Substitution (5.5)
Area Between Curves (6.1)
Integration by Parts (7.1)

Volumes (6.2)
Trigonometric Integrals (7.2)

Volumes by Shells (6.3)
Trigonometric Substitution (7.3)

Work (6.4)
Integrating Rational Functions by Partial Fractions (7.4)

Average Value of a Function (6.5)
Integration Strategies (7.5)

Integration Using Tables and CAS (7.6)

Approximate Integration (7.7)

Improper Integrals (7.8)
Chapter 8: More Integral Applications
Chapter 9: Differential Equations
Chapter 11: Infinite Sequences and Series
Arc Length (8.1)
Modeling with Differential Equations (9.1)
Intro: Polynomial Approximators
Surface Area (8.2)
Direction Fields and Euler's Method (9.2)
Sequences (11.1-a)   Sequences (11.1-b)
Physics and Engineering Applications (8.3)
Separable Differential Equations (9.3)
Series (11.2-a)   Series (11.2-b)   Series (11.2-c)
Economics and Biology Applications (8.4)
Newton's Law of Cooling (9.3)
The Integral Test and Estimates of Sums (11.3)
Probability (8.5)
Mixtures (9.3)
The Comparison Tests (11.4)

Population Growth (9.4)
Alternating Series (11.5)

Absolute Convergence and the Ratio Test and Root Test (11.6)

Strategies for Testing Series (11.7)

Power Series (11.8)

Representing Functions as Power Series (11.9)

Taylor Series and Maclaurin Series (11.10)

Applications of Taylor Polynomials (11.11)
Review Material
Review: Derivatives and Integrals Involving Inverse Trig Functions
Review: Big Ideas From Calculus I
Comprehensive Calculus Review
Extra-Credit Video Project

Project Description, Requirements, and Grading Rubric

Sample: "IBP is So So Clever"
Sample: "Calculus Song"
Sample: "All the Series"
Sample: "Newton's Favorite Cookie"
Sample: "XC Video"
Sample: "We Found Calc in a Hopeful Class"
Sample: "Oiler's Method"
Sample: "Special Calculus Unit"
Sample: "Math Shop"
Sample: "Cause This is Calculus" Sample: "I Will Derive" Sample: "Derive So Hard"
Sample: "You Derive Me Crazy" Sample: "Product Rule" Sample: "Calculus Rapsody"
Sample: "Another One Integrates"
Sample: "I Want to Derive So Bad"
Sample: "Integrate Me Maybe?"

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.
  Daily Plans: PowerPoint Slides

Here are links to the PowerPoint slides used each day in class.
Quizzes and Tests

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