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MAT 2500 (Sections 003 & 101): Calculus III

Villanova University
Spring 2024
Prof. Fuentes

Last Updated: April 18th, 2024

Week 1
1/16 - 1/21

Week

Sections Covered

Helpful Resources & Worksheets

Important Dates

Don't Forget to

Section 12.1: Three-Dimensional Coordinate
                          Systems


 

Complete

  • Pre-Class Survey (see Blackboard)

  • Syllabus Assignment on BB.

       DUE: Sunday, 1/21, 11:59 PM.

  • Register for WebAssign.

  • Install Maple 2023.

TEXTBOOK PRACTICE EXERCISES

12.1:  #s  2-17, 25-37

Complete

  • Getting Started with WebAssign, Section 12.1 - Part I Assignment on WebAssign.

        DUE: Mon, 1/22, 11:59 PM.

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QUIZ 1 is on Tues, 1/30
It covers Sections 12.1 & 12.2.

Please review associated WebAssign homework problems and examples done in class.

HELPFUL VIDEOS & LINKS

3/4 - 3/10

FINAL EXAM

Week 2
1/22 - 1/28

Section 12.1: Three-Dimensional Coordinate
                           Systems (cont.)
Section 12.2:
Vectors

Week 3
1/29 - 2/4


 

Section 12.3: The Dot Product
Section 12.4:
The Cross Product

No quiz this week.

Complete

  • Sections 12.1 - PART 2 & 12.2 Assignments on WebAssign.

        DUE: Mon, 1/29, 11:59 PM.

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TEXTBOOK PRACTICE EXERCISES

12.2:  #s  9-28

HELPFUL VIDEOS & LINKS

Week 4
2/5 - 2/11

QUIZ 2 is on Tues, 2/6
It covers Section 12.3.

Please review associated WA homework problems, Wkst 2 problems, and examples done in class.

Complete

  • Sections 12.3 & 12.4 - PART 1 Assignments on WebAssign.

        DUE: Mon, 2/5, 11:59 PM.

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HELPFUL VIDEOS & LINKS

HELPFUL PDFS

TEXTBOOK PRACTICE EXERCISES

12.3:  #s  1-11, 15-25, 27,39-44, 46, 49-52

Week 5
2/12 - 2/18

Section 12.4: The Cross Product (cont.)

 

Worksheet 2 Solutions

Complete

  • Sections 12.4 - PART 2 Assignment on WebAssign.

        DUE: Mon, 2/12, 11:59 PM.

  • Maple Assignment 1 is on BlackBoard.

        DUE: Wed, 2/21, 11:59 PM.

       (submit with your classwork

        group as a PDF)

       

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QUIZ 3 has been postponed to Tues, 12/20.
 

HELPFUL VIDEOS & LINKS

HELPFUL PDFS

TEXTBOOK PRACTICE EXERCISES

12.4:  #s  1-18, 27-38

Worksheet 3

TEXTBOOK PRACTICE EXERCISES

12.5:  #s  2-11, 13-47
 

Week 6
2/19 - 2/25

HELPFUL VIDEOS & LINKS

QUIZ 3 is on Tues, 2/20. It covers Sections 12.4 & 12.5.
Please review associated WA homework problems, Wkst 3 problems, and examples done in class.

Section 12.5: Equations of Lines & Planes
Section 12.6: Cylinders & Quadratic Surfaces
Section 13.1: Vector Functions & Space Curves

*Section 12.6 will be covered in the Maple Lesson 3 video.*

Complete

  • Section 12.5 Assignment on WebAssign.

        DUE: Mon, 2/19, 11:59 PM.

  • Maple Assignment 1 is on BlackBoard.

        DUE: Wed, 2/21, 11:59 PM.

       (submit with your classwork

        group as a PDF)

TEXTBOOK PRACTICE EXERCISES

13.1:  #s  1-6, 11-20, 26, 36, 50, 52-56
 

HELPFUL VIDEOS & LINKS

Week 7
2/26 - 3/3

Complete

  • Section 13.1 Assignment on WebAssign.

        DUE: Sun, 10/9, 11:59 PM.

  • Maple Assignment 2 on BlackBoard.

        DUE: Sun, 10/9, 11:59 PM.

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Week 8
3/11 - 3/17

Section 14.1: Functions of Several Variables

Complete

  • Sections 13.3 & 13.4 Assignments on WebAssign.

        DUE: Mon, 3/18, 11:59 PM.

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TEXTBOOK PRACTICE EXERCISES

13.2:  #s  9-29, 31-33, 37-44, 49-52
 

HELPFUL VIDEOS & LINKS

Worksheet 5

HELPFUL VIDEOS & LINKS

Worksheet 5 Solutions

Week 9
3/18 - 3/24

QUIZ 7 is on Tues, 4/9
It covers Sections 14.2 & 14.3.

Please review associated WA homework problems, Wkst 7 problems, and examples done in class.

Complete

  • Sections 14.2 & 14.3 Assignments on WebAssign.

        DUE: Wed, 4/3, 11:59 PM.

  • Maple Assignment 2 is on BlackBoard.

        DUE: Fri, 4/5, 11:59 PM

TEXTBOOK PRACTICE EXERCISES

13.4:  #s  1, 3-19
 

Week 10
3/25 - 3/31

Complete

  • Section 14.7 - PART 1 Assignment on WebAssign.

        DUE: Wed, 4/10, 11:59 PM.

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14.1:  #s 1-16, 23-31

HELPFUL VIDEOS & LINKS

Section 14.7: Maximum & Minimum Values

Week 11
 

TEXTBOOK PRACTICE EXERCISES

TEXTBOOK PRACTICE EXERCISES

Worksheet 9

Worksheet 9 Solutions

HELPFUL VIDEOS & LINKS

Week 12
4/8-4/14

QUIZ 8 is on Tues, 4/23
It covers Sections 14.7.

Please review associated WA homework problems, Wkst 8 problems, and examples done in class.

Complete

  • Sections 15.1 & 15.2 Assignments on WebAssign.

        DUE: Wed, 4/24, 11:59 PM.

  • Maple Assignment 3 on BlackBoard.

        DUE: Fri, 4/26, 11:59 PM.

Worksheet 10

Worksheet 10 Solutions

TEXTBOOK PRACTICE EXERCISES

14.7:  #s 1, 2, 5-22, 33-40, 43-55

14.2:  #s  5-36, 41-50
14.3:  #s 8-24, 27-34, 37-40, 47-64, 67, 68

TEXTBOOK PRACTICE EXERCISES

Week 13
4/15-4/21

QUIZ 7 is on Thur, 12/1
It covers Sections 14.7 (PART 2 - Absolute Extrema), 15.1, & 15.2.

Please review associated WA homework problems, Wkst 9, 10, & 11 problems, and examples done in class.

Complete

  • Sections 14.7 (PART 2), 15.1, & 15.2 Assignments on WebAssign.

        DUE: Wed, 11/30, 11:59 PM.

  • Maple Assignment 3 on BlackBoard.

        DUE: Sun, 11/28, 11:59 PM.

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15.1:  #s 9-37, 43-50

Worksheet 11

Worksheet 11 Solutions

HELPFUL VIDEOS & LINKS

Section 16.2: Line Integrals

Section 15.2: Double & Triple Integrals
                             Over General Regions

Section 16.1: Vector Fields & The Gradient

Week 14
4/22-4/28

Section 16.4: Green's Theorem

Section 16.3: The Fundamental Theorem of
                            Line Integrals

OUR FINAL EXAM IS ON
FRIDAY, DEC. 16TH, 11:30 AM - 2:00 PM
IN MENDEL 101

SPRING RECESS

Section 12.6: Cylinders & Quadratic Surfaces
Section 13.1:  Vector Functions & Space Curves

Section 13.2: Derivatives & Integrals of Vector                                Functions

Complete

  • Section 12.6 Assignment on WebAssign.

        DUE: Mon, 2/26, 11:59 PM.

  • Section 13.1 Assignment on WebAssign.

       DUE: Sun, 3/3, 11:59 PM.

No quiz this week.
Our MIDTERM is on

Wed, 2/28.

in class. It covers

Sections 12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 13.1, & 13.2.

Section 13.3: Arc Length & Curvature
Section 13.4:
Motion in Space: Velocity &
                           Acceleration

Complete

  • Section 13.2 Assignment on WebAssign.

        DUE: Mon, 3/11, 11:59 PM.

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QUIZ 4 is on Tues, 3/12. It covers Section 13.2.
Please review associated WA homework problems and examples done in class.

QUIZ 5 is on Tues, 3/19. It covers Sections 13.3 & 13.4.
Please review associated WA homework problems, Wkst 5 problems, and examples done in class.

Section 14.2: Limits & Continuity
Section 14.3: Partial Derivatives

HELPFUL VIDEOS & LINKS

QUIZ 6 is on Tues, 3/26. It covers Section 14.1.
Please review associated WA homework problems, Wkst 6 problems, and examples done in class.

No quiz this week.

No quiz this week.

Complete

  • Section 14.1 Assignment on WebAssign.

        DUE: Mon, 3/25, 11:59 PM.

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14.4:  #s 3-10, 15-26
14.7:  #s 1, 2, 5-22, 33-40, 43-55

TEXTBOOK PRACTICE EXERCISES

14.7:  #s 1, 2, 5-22, 33-40, 43-55

HELPFUL VIDEOS & LINKS

Section 14.7: Max & Min Values (cont)
Section 15.1: Double & Triple Integrals
                           Over Rectangular Regions

Section 15.1: Double & Triple Integrals
                           Over Rectangular Regions
Section 15.2:
Double & Triple Integrals                                            Over General Regions
 

No quiz this week.

Complete

  • Section 14.7 - PART 2 Assignment on WebAssign.

        DUE: Wed, 4/17, 11:59 PM.

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Section 15.3: Double & Triple Integrals                                            In Polar Coordinates

HELPFUL VIDEOS & LINKS

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