Illinois State University Mathematics Department

MAT 146: Calculus II

Dr. Roger Day (day@ilstu.edu)


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.


Syllabus, Schedule, and More

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


Course Resources: WebAssign, REMIND, Textbooks

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WebAssign Access Options

WebAssign Login Directions
WebAssign Quick Start Guide

WebAssign Student User Guide

WebAssign Self-Training Videos


REMIND: Text reminders from your instructor (Section 1: 9 am) (Section 3: 10 am)

Textbook Website and Tools for Enriching Calculus
Comprehensive Notes for Calc I
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In-Class Activities and Take-Home Assignments: Current Semester
U-Substitution Examples (Day #2: Wed 1/13/16) Solution Guide
U-Substitution (5.5)  Examples (Day #3: Thurs 1/14/16) Solution Guide

Area Between Curves (6.1) Examples (Day #6: Wed 1/20/16)  Solution Guide
Strategies: Calculating Area Between Curves (6.1) (Day #4 and Day #6: Fri 1/15/16 and Wed 1/20/16)

Tips for Writing Proofs (Day #6: Wed 1/20/16)
Volumes-by-Rotations Examples #1, #2, #3 from PowerPoint: Solutions (Day #8: Fri 1/22/16 & Day #9: Mon 1/25/16)

Volumes (6.2/6.3): Internet Apps and Demos: A    B    C    D    E
Volumes-by-Cross-Sections Examples #1, #2 from PowerPoint: Solutions (Day #10: Wed 1/27/16)
Integeration by Parts (7.1) Examples from PowerPoint (Day #12: Fri 1/29/16)  Solutions
Trig Integrals (7.2) Examples from PowerPoint (Day #14: Wed 2/3/16) Solutions

More Trig Integrals (7.2) Examples from PowerPoint (Day #17: Mon 2/8/16) Solutions Trig Substitution (7.3) In-Class Examples (A,B,C,D) (Day #18: Wed 2/10/16) Solutions
Trig Substitution (7.3) In-Class Examples (3 Pythagorean connections) (Day #19: Thurs 2/11/16) Solutions Partial-Fraction Decomposition (7.4) In-Class Examples (Day #21: Mon 2/15/16) Solutions
Improper Integrals (7.8) In-Class Examples (Day #22: Wed 2/17/16) Solutions One More Improper Integral (7.8): Warm-Up (Day #24: Fri 2/19/16) Solutions

Arc Length (8.1) In-Class and PowerPoint Examples (Day #24: Fri 2/19/16) Solutions Probability Calculations (8.5) (Day #27: Thurs 2/25/16)) Solutions

Solving Differential Equations: Separation of Variables (9.3) (Day #39: Thurs 3/17/16)  Solutions
Newton's Law of Cooling: From Dif Equ to General Solution and an  Example (Ch 9) (Day #41: Mon 3/21/16)  Solution  Example #2: Jello Cooling! (Day #42: Wed 3/23/16)  Solution

Mixture Problems using Differential Equations (Ch 9) (Day #42: Wed 3/23/16)  Solutions
One more Mixture Problem: Two Incoming Rates! (Ch 9) (Day #43: Thurs 3/24/16)  Solutions
Series Convergence: Practice Tables (A) and (B) (Day #59: Thurs 4/21/16)  Solutions
Series Convergence: Quiz #8 Sample (Day #59: Thurs 4/21/16)  Solutions

Practice Exam Questions: Power Series & Taylor Series (Fri 4/29/16)  [Solution Guide]

CAS Calculator Help for Calculus
TI tutorials (web)
TI-89 calculus workbook (PDF)
Calculus with the TI-89 (PDF)
Solving Equations (PDF)
TI-89 Algebra Help (video)
Solving Equations (video)













Resources and Assignments


Trig Identities     Trig Reviews: #1 ()   #2 ()   #3 ()


Derivatives Practice






In-Class Activities and Take-Home Assignments: Previous Semesters




Average Rate #1 (Monday 8/17/15) [Solution Guide]
U-Substitution (Thursday 8/20/15) [Solution Guide] Strategies: Area Between Curves (Friday 8/21/15) [Solution Guide]



Volumes of Solids of Revolution (Monday 8/31/15) Solution Guide
Parabolas and Tangents: Take-Home Group #1  [Solution Guide]
Parabolas and Tangents Revisited: Take-Home Group #2  [Dynamic View]  [Solution Guide]




Differential Equations: Rumors!
Practice Exam Questions: Power Series & Taylor Series (Fri 12/4/15)  [Solution Guide]




Series Convergence Solutions
sample javasketchpad file 9/6/15










Warm-Up: Area Expressions and Integrals (Wednesday 8/27/14)  [Solution Guide]
Volumes: Sphere and Cone (Wednesday 9/3/14)  [Solution Guide]




Integrals Involving Trig Functions  [Solution Guide]
More Trig Integrals  [Solution Guide]
Trig Substitutions  [Solution Guide]




Integration Strategies (Wed 9/24/14) [Solution Guide]
Review: Differential Equations (Mon 10/20/14)  [Solution Guide]
Review: Sequences & Series (Mon 11/03/14)  [Solution Guide]



Converge/Diverge Practice (Wed 11/12/14)  [Solution Guide]
Interval and Radius of Convergence (Wed 11/19/14)  [Solution Guide] Practice Exam Questions: Power Series & Taylor Series (Fri 12/5/14)  [Solution Guide]












Mathematizing A Situation (Wednesday 8/20/14) [Solution Guide]










Volume Demos (6.2 and 6.3): discs    washers    shells    known cross section (I)    known cross section (II)




Integral Approximation (Section 7.7) Calculator (Left, Right, Midpoint, Trapezoid, Simpson's)
Geogebra Approximators (Section 7.7): Rectangles      Rectangles, Trapezoids, Simpson's
Error Bound Example (7.7)




Limit Calculations and Strategies (7.8):  Review   Solutions



Differential Equations Resources (Ch 9 Intro) Intro to Differential Equations: Accountability Assessment

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Slope Field Plotter #1 Slope Field Plotter #2  Slope Field Plotter #3  Slope Field Plotter #4  (Differential Equations: Ch 9, Section 2)

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Euler's Method Calculator #1   Euler's Method Calculator #2   Euler's Method Calculator #3    (Differential Equations: Ch 9, Section 2)


Using Your TI-89 for Differential-Equations Tasks (Euler's Method #1) (Slope Fields & Euler's Method) (Differential Equations) (Euler's Method #2) (deSolve and initial-value problems: 1-step solution process!)

TI-NSpire and Differential Equations: (Slope Fields)    (Euler's Method #1)    (Euler's Method #2)




Series Convergence Tests (Ch 11)

Series Convergence Flowchart (Ch 11)   Series Convergence Questions/Strategies (Ch 11)   Series Convergence: In-class group work  (solutions)

Series Convergence: Proof-Construction Guide (Ch 11)   Series Convergence: Samples and Solutions   Series Convergence: More Samples and More Solutions

Calculator Help: Sequences and Series: (1) TI-89 Sequences & Series (pdf)  (2) Sequences/Series Module from TI (web site) (3) Summation Using TI-89 (video) (4) TI-Nspire CAS (web)