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MAT 1505 (Sections 11 & 12): Calculus II

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

REVIEW
Section 5.2:
The Definite Integral

Section 5.3: The Fundamental Theorem of
                         Calculus


 
                  

 

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 for instructions.)

TEXTBOOK PRACTICE EXERCISES

5.2:  #s  27-46, 54-60, 65-76
5.3: #s  21-54, 63-66

 

Complete

  • Sections 5.2 and 5.3 Assignments on WebAssign.

        DUE: Wed, 1/19, 11:59 PM.

QUIZ 1 is on Thur, 1/20
It covers Sections 5.2 and 5.3. Please review associated WebAssign homework problems, examples done in class, and Worksheet 1 problems.

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 5.4: The Indefinite Integral and the Net
                         Change Theorem
 
                  

 

QUIZ 2 is on Thur, 1/27
It covers Section 5.4. Please review associated WebAssign homework problems, examples done in class, and Worksheet 2 problems.

Complete

  • Section 5.4 Assignment on WebAssign.

        DUE: Wed, 1/26, 11:59 PM.

Section 5.5: The Substitution Rule

Section 6.1:
Areas Between Curves
 
                  

 

TEXTBOOK PRACTICE EXERCISES

5.4:  #s  5-54, 59-65, 71-74, 81

 

TEXTBOOK PRACTICE EXERCISES

5.5:  #s 1-80, 87-90, 93-95
6.1: #s  1-36, 49-52, 58, 60-62

 

Section 6.2: Volumes
 
                  

 

QUIZ 3 is on Thur, 2/3
It covers Sections 5.5 & 6.1. Please review associated WebAssign homework problems, examples done in class, and Worksheet 3 problems.

Complete

  • Sections 5.5 & 6.1  Assignments on WebAssign.

        DUE: Wed, 2/2, 11:59 PM.

6.2: #s  1-28, 59-70
 

TEXTBOOK PRACTICE EXERCISES

QUIZ 4 is on Thur, 2/10
It covers Section 6.2. Please review associated WebAssign homework problems, examples done in class, and Worksheet 4 problems.

Complete

  • Section 6.2 Assignment on WebAssign.

        DUE: Wed, 2/9, 11:59 PM.

Section 6.5: Average Value of a Function

Section 7.1:
Integration by Parts


 
                  

 

QUIZ 5 is on Thur, 2/17
It covers Sections 6.5 & 7.1. Please review associated WebAssign homework problems, examples done in class, and Worksheet 5 problems.

Complete

  • Sections 6.5 & 7.1 Assignments on WebAssign.

        DUE: Wed, 2/16, 11:59 PM.

TEXTBOOK PRACTICE EXERCISES

6.5: #s 1-15
7.1: #s  1-52

 

Section 7.2: Trigonometric Integrals

Section 7.3:
Trigonometric Substitution


 
                  

 

No quiz this week!

Our MIDTERM is on 
Mon., Feb. 21st in class

It covers
Sections 5.2, 5.3, 5.4, 5.5, 6.1, 6.2, 6.5, & 7.1.
Please review associated WebAssign homework problems, examples done in class, and Worksheets 1, 2, 3, 4, and 5. For more details see Blackboard.


 

Complete

  • Section 7.2 Assignment on WebAssign.

        DUE: **Extended**

                     Wed, 3/9, 11:59 PM.

Section 7.3: Trigonometric Substitution (cont)

 
                  

 

Week 8
3/7-3/13

Section 7.8: Improper Integrals



 
                  

TEXTBOOK PRACTICE EXERCISES

7.2: #s 1-20, 35, 43-47, 63, 65, 69-71
7.3: #s 1-5, 10-24, 26, 27, 29, 30, 32

 

Complete

  • Sections 7.2 & 7.3 Assignments on WebAssign.

        DUE: Wed, 3/9, 11:59 PM.

QUIZ 6 is on Thur, 3/10
It covers Sections 7.2 & 7.3. Please review associated WebAssign homework problems, examples done in class, and Worksheet 6 problems. **In particular, be sure to practice integrals similar to Problem 3(b) in Wkst 6.

TEXTBOOK PRACTICE EXERCISES

7.3: #s 1-5, 10-24, 26, 27, 29, 30, 32
 

Week 9
3/14-3/20

Section 7.8: Improper Integrals (cont)

Section 8.1: Arc Length

 
                  

Complete

  • Section 7.8 (PART 1) Assignment on WebAssign.

        DUE: Wed, 3/16, 11:59 PM.

QUIZ 7 is on Thur, 3/17
It covers Section 7.8. Please review associated WebAssign homework problems, examples done in class, and Worksheet 7 problems.

TEXTBOOK PRACTICE EXERCISES

7.8: #s 1-24, 26-37, 39-42, 45-47, 57-59, 61-63
 

Week 10
3/21-3/27

Section 8.1: Arc Length (cont)

Section 11.1:
Sequences
                  

TEXTBOOK PRACTICE EXERCISES

8.1: #s 9-19, 21 22, 26, 43-46

Complete

  • Section 7.8 (PART 2) Assignment on WebAssign.

        DUE: Sun, 3/20, 11:59 PM.

  • Section 8.1 Assignment on WebAssign.

        DUE: Wed, 3/23, 11:59 PM.

QUIZ 8 is on Thur, 3/24
It covers Section 7.8 PART 2 (only applying the Comparison Theorem for integrals) & Section 8.1. Please review associated WebAssign hw problems, examples done in class, and Worksheet 7 (PART II) and Wkst 8 problems.

No quiz this week!
A classwork assignment will be collected.

Week 11
3/28-4/3

Section 11.1: Sequences (cont.)

Section 11.2: Series



                  

Complete

  • Section 11.1 Assignment on WebAssign.

        DUE: Sun, 4/3, 11:59 PM.

TEXTBOOK PRACTICE EXERCISES

11.1: #s 3-22, 27-45, 47-52, 78-84

TEXTBOOK PRACTICE EXERCISES

11.2: #s 3,4, 17-50, 51, 53-66

Week 12
4/4-4/10

Section 11.2: Series (cont.)

Section 11.4:
The Comparison Tests (for
                           series)



                  

Complete

  • Section 11.2 (PART 1) Assignment on WebAssign.

        DUE: Wed, 4/6, 11:59 PM.

  • Section 11.2 (PART 2) Assignment on WebAssign.

        DUE: Sun, 4/10, 11:59 PM.

QUIZ 9 is on Thur, 4/7
It covers Sections 11.1 & 11.2 (PART 1 - telescoping series & geometric series). Please review associated WebAssign homework problems, examples done in class, and Worksheet 9 and 10 problems.

Week 13
4/11-4/15

Section 11.4: The Comparison Tests (cont.)

Section 11.5: Alternating Series

Section 11.6:
Absolute Convergence & The
                          Ratio Test



                  

Complete

  • Section 11.4 Assignment on WebAssign.

        DUE: Fri., 4/15, 11:59 PM.

 

  • Sections 11.5 & 11.6 Assignment on WebAssign.

        DUE: Wed., 4/20, 11:59 PM.

4/13-4/19

EASTER BREAK

Week 14
4/20-4/24

TEXTBOOK PRACTICE EXERCISES

11.4: #s 7-40

TEXTBOOK PRACTICE EXERCISES

11.5: #s 5-19, 22-34
11.6:
#s 3-13, 15, 16

Please watch the Lecture 11.6 videos before class on Wednesday, April 20th.

Class on Wednesday, 4/20, will begin under the assumption that you have watched the 11.6 lecture videos!

Section 11.8: The Power Series


                  

TEXTBOOK PRACTICE EXERCISES

11.8: #s 3-28

Complete

  • Section 11.8 Assignment on WebAssign has been posted.

        DUE: Fri., 5/6, 11:59 PM.

 

Week 15
4/25-4/28

Section 11.10: Functions Represented as Power
Series & the Taylor and Maclaurin Series


REVIEW FOR FINAL EXAM
                  

Our Final Exam is Wednesday, May 4th, 11:30 AM - 2:00 PM in Mendel Hall 101 (large lecture hall).
**Please see the top folder in BlackBoard under "Course Content" for details about the Final Exam.*
 

FINALS
WEEK

Complete

  • Section 6.2 Assignment on WebAssign.

        DUE: Wed, 2/9, 11:59 PM.