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Math Formulas and a Calculator

MAT 1500: Calculus I

Villanova University
Fall 2023
Prof. Fuentes

Week 1
8/23 - 8/27

Week

Sections Covered

Helpful Resources & Worksheets

Important Dates

Don't Forget to

Week 2
8/27 - 9/5

Week 3
9/6 - 9/10

Week 4
9/11 - 9/17

Week 5
9/18 - 9/24

Week 6
9/25 - 10/1

Week 7
10/2 - 10/6

10/7-10/15

FALL BREAK                      

Week 8
10/16 - 10/22

Week 9
10/23 - 10/29

Week 10
10/30 - 11/5

Week 11
11/6 - 11/12

Week 12
11/13 - 11/20

Week 13
11/27 - 12/3

Week 14
12/4 - 12/11

TEXTBOOK PRACTICE EXERCISES

Section 1.1: Four Ways to Represent a Function


 

QUIZ 1 is on Thur, 8/31
It covers Section 1.1.

 

Section 1.3: New Functions from Old Functions

Section 1.4: Exponential Functions

Section 1.5: Logarithms

Complete

  • Pre-Class Survey (see BlackBoard Week 1 Module)

      DUE: Sunday, 8/27, 11:59 PM.

  • Registration for WebAssign.

TEXTBOOK PRACTICE EXERCISES

1.3: #s  2-5, 9-26, 33-44
1.4: #s 1-3, 9-14, 17

 

Complete

  • "Getting Started with WebAssign" & Section 1.1 Assignments on WebAssign.

        DUE: Wed, 8/30, 11:59 PM.

  • Syllabus Assignment on BB.    DUE: Wed, 8/30, 11:59 PM.

1.1:  #s  7-18, 39-46, 49-58
 

Complete

  • Sections 1.5 & 2.2 PART 1 Assignments on WebAssign.

        DUE: Wed, 9/13, 11:59 PM.

  • Download & Installation of Maple 2023 (see Week 3          Module for instructions).

Section 1.5: Logarithms

Section 2.2:
The Limit of a Function

TEXTBOOK PRACTICE EXERCISES

1.5: #s 1-14, 17, 20, 23-30, 33, 34, 37, 39-41, 43-46
2.2: #s 1-9, 12, 15-20, 24-26, 39-32, 37, 38, 41, 42

Complete

  • Sections 1.5 & 2.2 PART 1 Assignments on WebAssign.

        DUE: Wed, 9/13, 11:59 PM.

QUIZ 2 is on Thur, 9/14
It covers Sections 1.3, 1.4, & 1.5.

 

Section 2.2: The Limit of a Function

Section 2.3: Calculating Limits Using Limit
                         Laws

Section 2.5:
Continuity

TEXTBOOK PRACTICE EXERCISES

2.3: #s 1-20, 22-34, 37-41, 43-48, 51-54

Section 2.3: Calculating Limits Using Limit
                         Laws

Section 2.5: Continuity

Section 2.6:
Limits at Infinity - Horizontal   
                         Asymptotes

QUIZ 3 is on Thur, 9/21
It covers Sections 2.2 & 2.3 (will not include computing a limit using the Squeeze Theorem).

 

Complete

  • Sections 2.2 PART 2 & 2.3 PART 1 Assignments on WebAssign.

        DUE: Wed, 9/20, 11:59 PM.

Section 2.6: Limits at Infinity - Horizontal   
                         Asymptotes

Section 2.7: Derivatives & Rates of Change


 

QUIZ 4 is on Thur, 9/28
It covers the Squeeze Theorem & Section 2.5.

 

Complete

  • Sections 2.3 PART 2 & 2.5 Assignments on WebAssign.

        DUE: Wed, 9/27, 11:59 PM.

TEXTBOOK PRACTICE EXERCISES

2.5: #s 1-10, 13-26, 35-39, 41-45, 51, 53-64

Section 2.8: The Derivative as a Function

Our MIDTERM is on 
Wednesday, 10/4 in class. It covers
Sections 1.1, 1.3, 1.4, 1.5, 2.1, 2.2, 2.3, 2.5, 2.6, 2.7, & 2.8
. Please see BlackBoard for more details

Complete

  • Sections 2.6 & 2.7 Assignments on WebAssign.

        DUE: Fri, 10/6, 11:59 PM.

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

Section 2.8: The Derivative as a Function

Section 3.1: Derivatives of Polynomials &
                         Exponential Functions


Section 3.2: The Product & Quotient Rules

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

Complete

  • Section 2.8 - PART 1 Assignment on WebAssign.

        DUE: Wed, 10/18, 11:59 PM.

  • Maple Assignment 1 (submit via BB - see instructions)

        DUE: Wed, 10/18, 11:59 PM.

Section 3.2: The Product & Quotient Rules

Section 3.3: Derivatives of Trig. Functions


Section 3.4: The Chain Rule
 

Section 3.5: Implicit Differentiation

Section 3.6: Derivatives of Logarithmic Func. &
                         Inverse Trigonometric Functions


Section 3.8: Exponential Growth & Decay

TEXTBOOK PRACTICE EXERCISES

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

Complete

  • Sections 2.8 - PART 2 & 3.1 Assignments on WebAssign.

        DUE: Wed, 10/25, 11:59 PM.

Complete

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

        DUE: Wed, 11/1, 11:59 PM.

Section 3.8: Exponential Growth & Decay

Section 3.9: Related Rates

Section 4.1:
Maximum & Minimum Values

Complete

  • Sections 3.5 & 3.6 Assignments on WebAssign.

        DUE: Wed, 11/2, 11:59 PM.

TEXTBOOK PRACTICE EXERCISES

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

 

QUIZ 7 is on Thur, 11/16
It covers Sections 3.5 & 3.9.

 

TEXTBOOK PRACTICE EXERCISES

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

4.1: #s  3-66

Complete

  • Sections 3.8 & 3.9 Assignments on WebAssign.

        DUE: Wed, 11/15, 11:59 PM.

  • Maple Assignment 2 (submit via BB - see instructions)

        DUE: Sun, 11/19, 11:59 PM.

Section 4.1: Maximum & Minimum Values

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

Section 4.4: Indeterminate Forms & l'Hospital's
                          Rules

Section 4.5:
Summary of Curve Sketching

Section 4.7: Optimization Problems

Section 4.9: Antiderivatives

11/22-11/26

THANKSGIVING BREAK                      

TEXTBOOK PRACTICE EXERCISES

4.3: #s  9-41
4.4: #s  8-48

4.5: #s  1-32

FINALS
WEEK
12/11-12/17

 

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