Illinois State University Mathematics Department

MAT 145: Calculus  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 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 8/21/17
Secant and Tangent Lines (SurveyMonkey) and Solutions
Day #2 8/23/17
The Tangent and Velocity Problem: Sec 2.1
Day #3 8/25/17
Quiz #1: Days #1/2 Review and Solutions
Day #4 8/28/17
Approachment as a Mathematics Topic (Sec 2.2)
Limits and More from a Graph (2.2 and 2.3)
Quiz #2: Week #1 Review and Solutions
Day #5 8/30/17
Limits: Graphs, Tables, Symbols (2.2, 2.3, 2.5)
In-class practice
Day #6 9/01/17
Limits: Graphs, Tables, Symbols (2.2, 2.3, 2.5)
In-class practice
Quiz #4
(WebAssign: due Monday 9/4 at midnight)
Day #7 9/04/17
Labor Day Holiday: No ISU Classes
Day #8 9/06/17
Algebraic Evaluation of Limits (2.3)
Horizontal and Vertical Asymptotes Expressed Using Limits (2.3,2.6)
Nolan and Yesandra Solve Limit Problems & Solutions
Day #9 9/08/17
Continuity and Limits (2.5)
Secant-Line Slopes to Tangent-Line Slope With Limits! (2.7)
Exploring Tangent-Line Slopes: Examples and Applications  (2.7) & Solution Guide
Quiz #5  [Solution Guide]
Day #10 9/11/17
Secant-Line Slopes to Tangent-Line Slope With Limits! (2.7)
Exploring Tangent-Line Slopes: Examples and Applications  (2.7) & Solution Guide
Day #11 9/13/17
Secant-Line Slopes to Tangent-Line Slope With Limits! (2.7)
Day #12 9/15/17
Test #1 Part 1  Part 2 (location: STV 308) Solution Guide
Day #13 9/18/17
The Derivative (2.8): Limits, Graphs, Applications
Graphing Tangent-Line Slopes Activity
Day #14 9/20/17
The Derivative as a function (2.8): Limits, Graphs, Applications
Graphing Tangent-Line Slopes Activity
Day #15 9/22/17
Quiz #6 (WebAssign: due Sunday 9/25 at midnight)
Day #16 9/25/17 Day #17 9/27/17
Incoming Task Response: limit definition of f '(x) for f(x) = ax^2 and Solution Guide
Derivative Shortcuts! (Ch 3) (Sec 3.1, 3.2, 3.3)
Day #18 9/29/17
Quiz #7 and Solutions
Day #19 10/02/17
Derivative Shortcuts! (Ch 3) (Sec 3.1, 3.2, 3.3)
Day #20 10/04/17
Derivatives of Composite Functions: The Chain Rule (Sec 3.4)
Day #21 10/06/17
No Class Session Today
Quiz #8 (WebAssign)
Day #22 10/09/17
Derivatives of Composite Functions: The Chain Rule (Sec 3.4)
Implicit Differentiation (Sec 3.5)
Day #23 10/11/17
Implicit Differentiation (3.5)
Day #24 10/13/17
Test #2 Part 1 & Part 2  (location: STV 308) [Solution Guide]
Day #25 10/16/17
Derivatives of Log Functions (3.6)
Logarithmic Differentiation (3.6)
Day #26 10/18/17
Revisiting Position, Velocity, & Acceleration (3.7)
Day #27 10/20/17
Related Rates (3.9)
Quiz #9 and Solutions
Day #28 10/23/17
Related Rates (3.9)
Day #29 10/25/17
Extreme Values of Functions & Critical Numbers (4.1)
Day #30 10/27/17
Quiz #10 (WebAssign)
Day #31 10/30/17
Increasing/Decreasing Nature of a Function (4.3)
Day #32 11/01/17
Function Concavity (4.3)
Day #33 11/03/17
Test #3 Part 1A, Part 1B, & Part 2 (location: STV 308) [Solution Guide]
Day #34 11/06/17
Putting it Al Together: Using Function Characteristics to Sketch the Graph of a Function (4.5)
In-Class Graphing Practice: y = (x^2)/(x-2)^2 and Solution
Another Function to Graph: y = (2x)/(x^2 + 1) and Solution
Day #35 11/08/17
Quiz #11 and Solution Guide

Optimization Problems (4.7)
Day #36 11/10/17
More Optimization Problems (4.7)

Table for Gathering Components of Optimization Solutions: Two Examples
Day #37 11/13/17
Reversing the Derivative Process: Anti-Derivatives (4.9)
In-Class Activity: Help Avery Recover His Functions!
Day #38 11/15/17
Reversing the Derivative Process: Anti-Derivatives (4.9)
Day #39 11/17/17
Test #4 Part 1A, Part 1B, & Part 2 (location: STV 308) [Solution Guide]
Day #40 11/20/17
ISU Fall Break: No Classes
Day #41 11/22/17
ISU Fall Break: No Classes
Day #42 11/24/17
ISU Fall Break: No Classes
Day #43 11/27/17 Day #44 11/29/17 Day #45 12/01/17
Day #46 12/04/17 Day #47 12/06/17 Day #48 12/08/17



Semester Exam: Monday, December 11, 2017, 8:00 pm to 10:40 PM
Location STV 131