Math Formulas and a Calculator

MAT 1500: Calculus I

Villanova University
Fall 2021
Prof. Fuentes

Last Updated: December 6th, 2021

Week 1
8/23 - 8/29

Week

Sections Covered

Helpful Resources & Worksheets

Important Dates

Don't Forget to

Section 1.1: Four Ways to Represent a Function

Section 1.2: A Catalog of Essential Functions

 

Week 2
8/30 - 9/5

Complete

  • Lecture 1 Assignment on WebAssign.

        DUE: Wed, 8/25, 1 min.

        before class.

  • Syllabus Assignment on Blackboard.
    DUE: Fri, 8/27, 11:59 PM

TEXTBOOK PRACTICE EXERCISES

1.1:  #s  7-18, 39-46, 49-58
1.2: #s  1-4, 19, 20

 

Complete

  • Section 1.1, 1.2 Assignments on WebAssign.

        DUE: Wed, 9/1, 11:59 PM.

  • Section 1.3 Assignment on WebAssign has been extended.

        DUE: Sat, 9/4, 11:59 PM.

QUIZ 1 is on Thur, 9/2
It covers Sections 1.1, 1.2, and 1.3. From Section 1.3 you will be asked to graph a transformation of an essential function.
 

Section 1.3: New Functions from Old Functions

Section 1.4: Exponential Functions

Section 1.5: Inverse Functions & Logarithms

TEXTBOOK PRACTICE EXERCISES

1.3: #s  2-5, 9-26, 33-44
1.4: #s 1-3, 9-14, 17
1.5: #s 1-14, 17, 20, 23-30, 33, 34, 37, 39-41, 43-46

 

Week 3
9/6 - 9/12

QUIZ 2 is on Thur, 9/9
It covers Sections 1.3, 1.4, and 1.5. From Section 1.3, it may include a problem similar to problems 11 through 17 on WebAssign.
 

Complete

  • Sections 1.4 & 1.5 Assignments on WebAssign.

        DUE: Wed, 9/8, 11:59 PM.

        DUE: Wed, 9/8, in class.

Complete Problems 2, 3, and

4 on Worksheet 2 on your

own for practice (solutions have been posted).

Section 2.1: The Tangent Line & Velocity
                        Problems

Section 2.2: The Limit of a Function


 

QUIZ 3 is on Thur, 9/16
It covers Sections 2.1, 2.2, and 2.3.
 

Complete

  • Sections 2.1 & 2.2 Assignments on WebAssign.

        DUE: Wed, 9/15, 11:59 PM.

Week 4
9/13 - 9/19

TEXTBOOK PRACTICE EXERCISES

2.1: #s  3-6
2.2: #s 1-9, 12, 15-20, 24-26, 39-32, 37, 38, 41, 42

TEXTBOOK PRACTICE EXERCISES

2.3: 1-20, 22-34, 37-41, 43-48, 51-54
2.5:  #s  3-10, 13-20, 22-28, 30, 33, 35, 36, 43-45, 55, 58, 63, 64
 

Section 2.3: Calculating Limits Using Limit
                         Laws

Section 2.5: Continuity


 

Week 5
9/20 - 9/26

Week 6
9/27 - 10/3

Section 2.6: Limits at Infinity; Horizontal
                         Asymptotes

Section 2.7: Derivatives and Rates of Change


 

Section 2.8: The Derivative as a Function

Section 3.1: Derivatives of Polynomials &
                        Exponential Functions


 

TEXTBOOK PRACTICE EXERCISES

2.6: #s   3-10, 15-33, 47-51
2.7: #s   1, 11, 13 – 15, 17 – 19, 29, 31, 33, 35, 37, 39, 41, 43, 45, 49, 52, 53, 56, 57, 59, 61, 63, 65, 69, 71

QUIZ 4 is on Thur, 9/23
It covers Sections 2.3 & 2.5. Please review associated WebAssign homework problems, examples done in class, and Worksheet 3 problems. For Section 2.3, study problems 13 to 20 on W.A.
 

Complete

  • Sections 2.3 & 2.5 Assignments on WebAssign.

        DUE: Wed, 9/22, 11:59 PM.

  • Section 2.6 Assignment on WA

        DUE: Sat, 9/25, 11:59 PM.

MIDTERM 1 is on 
Monday, Sept. 27th in class

It covers
Sections 1.1, 1.2, 1.3, 1.4, 1.5, 2.1, 2.2, 2.3, 2.5, and 2.6.
Please review associated WebAssign homework problems, examples done in class, and Worksheets 1, 2, 3, and 4.
Two Practice Midterms have been posted on WebAssign.

 

Week 7
10/4 - 10/17

Section 3.2: The Product & Quotient Rules

Section 3.3: Derivatives of Trigonometric  
                          Functions

Section 3.4: The Chain Rule

QUIZ 5 is on Thur, 10/6
It covers Sections 2.7 & 2.8. Please review associated WebAssign homework problems, examples done in class, and Maple Worksheet 2 problems.

One problem will involve finding the equation of a tangent line to a curve using the limit definition of the derivative of a function.

 

Complete

  • Section 2.7 Assignment on WA

        DUE: Sun, 10/3, 11:59 PM.

Complete

  • Sections 2.8 & 3.1 Assignments on WebAssign.

        DUE: Wed, 10/6, 11:59 PM.

10/9-10/17

FALL BREAK                      

Week 8
10/18 - 10/24

Section 3.5: Implicit Differentiation

Section 3.6: Derivatives of Logarithmic &
                         Inverse Trigonometric Functions

Complete

  • Sections 3.2, 3.3, & 3.4 Assignments on WebAssign.

        DUE: Wed, 10/20, 11:59 PM.

QUIZ 6 is on Thur, 10/21
It covers Sections 3.2, 3.3, and 3.4. Please review associated WebAssign homework problems, examples done in class, and Worksheet 5 problems.
 

TEXTBOOK PRACTICE EXERCISES

2.8: #s  3-15, 21-32, 41, 49-52
3.1: #s   3-40, 53, 54, 59-63, 75-79, 85-87

TEXTBOOK PRACTICE EXERCISES

3.2: #s   3-10, 15-33, 47-51
3.3: #s  1-40
3.4:
#s   1-61, 65-68

TEXTBOOK PRACTICE EXERCISES

3.5: #s  1-44
3.6: #s  2-26, 29-32, 45-56, 63-78

 

Week 9
10/25 - 10/31

Section 3.7: Rates of Change in the Natural &
                         Social Sciences

Section 3.8:
Exponential Growth & Decay

Section 3.9:
Related Rates

QUIZ 7 is on Thur, 10/28
It covers Sections 3.5 and 3.6. Please review associated WebAssign homework problems, examples done in class, and Worksheet 6 problems.
 

Complete

  • Sections 3.5 & 3.6 Assignments on WebAssign.

        DUE: Wed, 10/27, 11:59 PM.

TEXTBOOK PRACTICE EXERCISES

3.7: #s  1-12, 14, 20, 24
3.8: #s 1-6, 8-10
3.9:
#s 3-7, 9, 13-19, 21, 22, 25, 31-33, 35, 45-47, 49, 50

QUIZ 8 is on Thur, 11/4
It covers Sections 3.7, 3.8, and 3.9. Please review associated WebAssign homework problems, examples done in class, and Worksheet 7 problems.
 

Week 10
11/1 - 11/7

Section 3.10: Linear Approx. & Differentials

Section 4.1:
Maximum & Minimum Values

Section 4.2:
The Mean Value Theorem

Week 11
11/8 - 11/14

MIDTERM 2 is on 
Monday, Nov. 8th in class

It covers
Sections 2.7, 2.8, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, and 3.8.
Please review associated WebAssign homework problems, examples done in class, and Worksheets 5, 6, and 7.
Two Practice Midterms have been posted on WebAssign.

 

Section 4.2: The Mean Value Theorem (cont.)

Section 4.3: What Derivatives Tell Us about 
                         the Shape of a Graph
     



 

Complete

  • Sections 3.7 & 3.8 Assignments on WebAssign.

        DUE: Wed, 11/3, 11:59 PM.

  • Section 3.9 Assignment on WA

        DUE: Sat, 11/6, 11:59 PM.

Complete

  • Section 4.1 Assignment on WebAssign.

        DUE: Sun., 11/14, 11:59 PM.

Section 4.3: What Derivatives Tell Us about 
                         the Shape of a Graph (cont.)
     
Section 4.4: Indeterminate Forms & l'Hospital's
                         Rule



 

Week 12
11/15 - 11/21

Complete

  • Section 4.2 Assignment on WebAssign.

        DUE: Wed, 11/17, 11:59 PM.

  • Section 4.3 Assignment on WebAssign.

        DUE: Sun, 11/21, 11:59 PM.

QUIZ 9 is on Thur, 11/18
It covers Sections 4.1 and 4.2. Please review associated WebAssign homework problems, examples done in class, and Worksheet 8 problems.
 

TEXTBOOK PRACTICE EXERCISES

4.1: #s 3-66
4.2: #s 5-8, 15-24

TEXTBOOK PRACTICE EXERCISES

4.2: #s 5-8, 15-24
4.3: #s

Week 13
11/29 - 12/5

Section 4.5: Curve Sketching

Section 4.7: Optimization Problems

 

TEXTBOOK PRACTICE EXERCISES

4.3: #s
4.4:
#s

There will be no quiz on Thur, 12/2.
Please bring your laptop to class on Thursday, Dec 2nd, instead.
 

Complete

  • Section 4.4 Assignment on WebAssign.

        DUE: Wed, 12/1, 11:59 PM.

  • Maple Assignment PARTS 1 & 2 on Blackboard.

        DUE: Sun, 12/5, 11:59 PM.

Week 14
12/6 - 12/12

Section 5.2: Antiderivatives & the Definite
                         Integral

Section 5.3: The Fundamental Theorem of
                         Calculus

REVIEW FOR FINAL EXAM

FINALS
WEEK
12/11-12/17

 

Below are the dates and times of the final exam for each of my MAT 1500 - Calculus I sections:
Section 4 (we meet MWF 9:30-10:20 AM):  Final Exam is Tues, Dec 14, 2:30- 5:00 PM in John Barry Hall 204 (our classroom)
Section 11 (we meet MWF 10:30-11:20 AM): Final Exam is Fri, Dec 17, 8:30 - 11:00 AM in John Barry Hall 204 (our classroom) 
Section 7 (we meet MWF 11:30 AM-12:20 PM):  Final Exam is Sat, Dec 11, 10:45 AM - 1:15 PM in John Barry Hall 204 (our classroom)

Complete

  • Section 4.5 Assignment on WebAssign.

        DUE: Mon, 12/6, 11:59 PM.

  • Section 4.7 Assignment on WebAssign.

        DUE: Wed, 12/8, 11:59 PM.

  • Sections 5.2 & 5.3 Assignment (single HW) on WebAssign.

        DUE: Sun, 12/18, 11:59 PM.