Math Formulas and a Calculator

MAT 2500 (Section 3): Calculus III

Villanova University
Spring 2022
Prof. Fuentes

Last Updated: April 24th, 2022

Week 1
1/10 - 1/16

Week

Sections Covered

Helpful Resources & Worksheets

Important Dates

Don't Forget to

Section 12.1: Three-Dimensional Coordinate
                          Systems

Section 12.2: Vectors (Part I)


 

Week 2
1/17 - 1/23

Complete

  • Pre-Class Survey via Microsoft Forms (see Blackboard announcement)

        DUE: Thurs, 1/13, 11:59 PM.

  • Register for WebAssign into our course (please see syllabus)

      

TEXTBOOK PRACTICE EXERCISES

12.1:  #s  2-17, 25-37
12.2: #s  4-6, 11-25

 

Complete

  • Section 12.1 Assignment on WebAssign.

        DUE: Wed, 1/19, 11:59 PM.

  • Section 12.2 Assignment on WebAssign ***has been extended***.

        DUE: Sat, 1/22, 11:59 PM.

  • Optional: Getting Started with WebAssign.                                      DUE: Wed, 1/19, 11:59 PM.

QUIZ 1 is on Thur, 1/20
It covers Sections 12.1 and 12.2.
***Section 12.2 will only cover geometric vector addition, scalar multiplication, and subtraction. ***

Please review associated WebAssign homework problems (for 12.2, only #s 1 and 2 - all parts), examples done in class, and Worksheet 1 problems.

HELPFUL VIDEOS & LINKS

Create a table to easily remember trigonometric values

Week 3
1/24 - 1/30

Week 4
1/31 - 2/6

Week 5
2/7 - 2/13

Week 6
2/14 - 2/20

2/28-3/6

SPRING RECESS                    

Week 7
2/21 - 2/27

Section 12.2: Vectors (Part II)

Section 12.3: The Dot Product



 

QUIZ 2 is on Thur, 1/27
It covers Sections 12.2 and 12.3. Please review associated WebAssign homework problems, examples done in class, and Worksheet 1 and 2 problems.

Complete

  • Section 12.3 Assignment on WebAssign.

        DUE: Wed, 1/26, 11:59 PM.

Section 12.4: The Cross Product


 
                  

 

TEXTBOOK PRACTICE EXERCISES

12.3:  #s 1-43

TEXTBOOK PRACTICE EXERCISES

12.4:  #s 1-7, 13-17, 19, 27, 28, 29-36

HELPFUL VIDEOS & LINKS

HELPFUL VIDEOS & LINKS

Section 12.5: Equations of Lines & Planes
                  

 

QUIZ 3 is on Thur, 2/3
It covers Section 12.4. Please review associated WebAssign homework problems, examples done in class, and Worksheet 3 problems.

Complete

  • Section 12.4 Assignment on WebAssign.

        DUE: Wed, 2/2, 11:59 PM.

TEXTBOOK PRACTICE EXERCISES

12.5:  #s 1-61

HELPFUL PDFs

HELPFUL PDFs

HELPFUL VIDEOS & LINKS

Section 13.1: Vector Functions & Space Curves 

Section 13.2:
Derivatives & Integrals of Vector
                           Functions
                               
 

QUIZ 4 is on Thur, 2/10
It covers Section 12.5. Please review associated WebAssign homework problems, examples done in class, and Worksheet 4 problems.

Complete

  • Section 12.5 Assignment on WebAssign.

        DUE: Wed, 2/9, 11:59 PM.

No quiz this week!

Complete

  • Sections 13.1 & 13.2 Assignments on WebAssign.

        DUE: Sun, 2/20, 11:59 PM.

MIDTERM 1 is on 
Wed., Feb. 16th in class

It covers
Sections 12.1, 12.2, 12.3, 12.4, 12.5, 13.1, & 13.2.
Please review associated WebAssign homework problems, examples done in class, and Worksheets 1, 2, 3, 4, and 5. For more details see Blackboard.


 

Section 13.3: Arc Length

Section 14.1:
Functions of Several Variables 
                                                         

 

TEXTBOOK PRACTICE EXERCISES

13.1:  #s 1-9, 11-17, 21-28, 42-46
13.2:  #s 3-21, 23-27, 35-42

HELPFUL VIDEOS & LINKS

Complete

  • Section 13.3 Assignment on WebAssign.

        DUE: Wed, 2/23, 11:59 PM.

QUIZ 5 is on Thur, 2/24
It covers Section 13.3. Please review associated WebAssign homework problems, examples done in class, and Worksheet 6 problems.

TEXTBOOK PRACTICE EXERCISES

13.3:  #s 3-11, 15, 16
14.1:  #s 2, 5, 6, 13-32, 35, 36, 38, 41-53, 61-70

Section 14.1: Functions of Several Variables
                      (cont.)

Section 14.2
: Limits & Continuity
                                                         
 

Section 14.2: Limits & Continuity (cont.)

Section 14.3: Partial Derivatives

                                                         
 

Week 8
3/7 - 3/13

TEXTBOOK PRACTICE EXERCISES

14.1:  #s 2, 5, 6, 13-32, 35, 36, 38, 41-53, 61-70
14.2:  #s 5-26, 31-34, 41-50

*No quiz this week!*
QUIZ 6 has been moved to Week 9! See below.

Complete

  • Sections 14.1 &14.2 (PART I) Assignments on WebAssign.

        DUE (*Extended*):

        Monday, 3/14, 11:59 PM.

QUIZ 6 is on Thurs, 3/17
It covers Sections 14.1, 14.2, & 14.3. Please review associated WebAssign homework problems, examples done in class, and Worksheet 7 & 8 problems.

Week 9
3/7 - 3/13

Complete

  • Sections 14.1, 14.2 (PART I) Assignments on WebAssign.

        DUE: Mon 3/14, 11:59 PM.

  • Sections 14.2 (PART II)  & 14.3 (PART 1) Assignments on WebAssign.

        DUE: Wed 3/16, 11:59 PM.

HELPFUL VIDEOS & LINKS

TEXTBOOK PRACTICE EXERCISES

14.3:  #s 3-8, 10, 15-47, 49, 53, 55, 59, 63, 83

HELPFUL VIDEOS & LINKS

Section 14.3: Partial Derivatives (cont.)
                                                         
Section 14.4: Tangent Planes

Week 10
3/21 - 3/27

Section 14.5: The Chain Rule
                                                         
Section 14.7: Maximum & Minimum Values

QUIZ 7 is on Thurs, 3/24
It covers Sections 14.3 & 14.5. **Sketching the graph of a 2-variable function will be a problem in the quiz. Please review associated WA homework problems, examples done in class, & Wkst 10 problems.

TEXTBOOK PRACTICE EXERCISES

14.4:  #s 3-10, 15-22

HELPFUL VIDEOS & LINKS

Complete

  • Section 14.5 Assignment on WebAssign.

        DUE: Wed 3/30, 11:59 PM.

HELPFUL VIDEOS & LINKS

Week 11
3/28 - 4/3

QUIZ 8 is on Thurs, 3/31
It covers Section 14.5. Please review associated WebAssign homework problems, examples done in class, and Worksheet 10 problems.

Section 14.7: Maximum & Minimum Values
                          (cont)


 

Complete

  • Section 14.7 Assignment on WebAssign.

        DUE: *Extended*

                     (see below)

Week 12
4/4 - 4/10

Section 15.1: Double Integrals over Rectangles


 

No quiz this week or for the rest of the semester!

MIDTERM 2 is on 
Wed., April 6th in class
It covers
Sections 13.3, 14.1, 14.2, 14.3, 14.4, 14.5, and 14.7.
Please review associated WA hw problems, examples done in class, and Wksts 6, 7, 8, 9, 10, & 11. For more details see BB.


 

Complete

  • Maple Assignment 1 on Blackboard.

        DUE: *Extended* (see below)

Week 13
4/11 - 4/15

Section 15.2: Double Integrals over General
                           Regions



 

TEXTBOOK PRACTICE EXERCISES

14.5:  #s 1-6, 9-18, 39, 42, 44-47
14.7:
  #s 5-22, 33-40, 43-55

4/14-4/19

EASTER BREAK                  

TEXTBOOK PRACTICE EXERCISES

15.1:  #s 15-34

HELPFUL VIDEOS & LINKS

HELPFUL VIDEOS & LINKS

Week 14
4/20 - 4/24

TEXTBOOK PRACTICE EXERCISES

15.2:  #s 1-14, 17-28, 31-35

HELPFUL VIDEOS & LINKS

Complete

  • Maple Assignment 1 on Blackboard.

        DUE: Wed., 4/20, 11:59 PM

        (please upload as PDF)

  • Section 15.1 Assignment on WebAssign.

        DUE: Wed., 4/20, 11:59 PM

  • Section 15.2 Assignment on WebAssign.

        DUE: Sun., 4/24, 11:59 PM

      

Week 15
4/25-4/28

Section 5.3: Double Integrals in Polar
                         Coordinates (cont)


REVIEW FOR FINAL EXAM
                  

FINALS
WEEK

Section 15.2: Double Integrals over General
                           Regions (cont)

Section 15.3
: Double Integrals in Polar
                           Coordinates