Calculus I Sections 7 & 8 Calendar for Fall 2021

Important: This calendar is subject to change; check frequently for updates. (Be sure to refresh your screen.)
  • All listed exercises are for problems on the Course Notes
  • "B&C" refers to the Briggs & Cochran text (see syllabus)
  • Class days are shown on a white background

Do the following BEFORE class begins.
Please begin by watching Lecture 1, which is posted on the entry for August 11. The topics listed for August 13-23 (the weeks before class begins) are pre-calculus topics. Please take the five self-diagnostic quizzes to see if you need to review any (or all) of it. If you do, then complete the relevant pre-calculus video lectures 2, 3A, 3B, 4, 5A, 5B, 5C, 6A and 6C. Test your understanding by working the exercises listed on August 25. We can address any questions in class (or during office hours).

All lectures are posted on both Kaltura and YouTube. (You may need a VCU domain for Kaltura.)
 
Monday
Wednesday
 Friday
Aug. 9
 11

 Please watch:
Lecture 1: A Thumbnail Sketch of Calc. I
[Kaltura | YouTube] (22 minutes)		 13

Do you need to review functions?
Take the self-diagnostic quiz.
If you didn't get 100% please see:
Lecture 2: Function Fundamentals [Kaltura | YouTube]

Reading: Course Notes Chapter 1 or B&C 1.1, 1.2
16

Do you need to review trig functions?
Take the self-diagnostic quiz.
If you didn't get 100% please see:
Lecture 3A: Trig Review, Part A [Kaltura | YouTube]
Lecture 3B: Trig Review, Part B [Kaltura | YouTube]


Reading: Course Notes Chapter 3 or B&C 1.4		 18

Do you need to review inverse functions?
Take the self-diagnostic quiz.
If you didn't get 100% please see:
Lecture 4: Inverse Functions [Kaltura | YouTube]



Reading: Course Notes Chapter 4 or B&C 1.3 		20

Do you need to review logarithms?
Take the self-diagnostic quiz.
If you didn't get 100% please see:
Lecture 5A: Exponents [Kaltura | YouTube]
Lecture 5B: Logarithms [Kaltura | YouTube]
Lecture 5C: Natural logarithms [Kaltura | YouTube]

Reading: Course Notes Chapter 5 or B&C 1.3
23

Do you need to review inverse trig functions?
Take the self-diagnostic quiz.
If you didn't get 100% please see:
Lecture 6A: Inverse Trig Functions [Kaltura | YouTube]
Lecture 6B: More Inv. Trig Functions [Kaltura | YouTube]

Reading: Course Notes Chapter 5 or B&C 1.3 		25

Class begins

Complete before class:
Lecture 7: Motivation for Limits
Lecture 8A: Introduction to Limits

Reading: Course Notes Chapters 7 & 8
or B&C 2.1, 2.2

Please work the following pre-calculus review exercises before today's class. (Click on links for solutions.) We can address any questions in class.
§3.1: 2, 8, 14, 20, 22
§3.2: 7, 12
§3.4: 2
§4.1: 4
§4.2: 2
§4.3: 10
§5.1: 16
§5.3: 4, 16
§5.4: 2, 12, 16
§5.5: 2, 8, 20
§6.1: 4, 6
§6.3: 2, 8, 16, 20, 26
§6.5: 2
27


Complete before next class:
Lecture 8B: Limit Laws
Lecture 9:  Computing Limits Algebraically

Reading: Course Notes Chapter 9 or B&C 2.3
Sept. 30

Complete before next class:
Lecture 10A: Limits of Trig Functions
Reading: Course Notes Chapter 10, or B&C 2.3

We will discuss the following exercises from the course notes. Please attempt them in advance.
Chapter 8: 8, 10, 16, 22,24
Chapter 9: 2, 4, 24, 30, 32
 
Quiz 1 (Lecture 8A, 8B) [Blank | Solved]
There are six versions of Quiz 1 Open the above link and scroll down to find your version.
 1

Complete before class:
Lecture 10B: The Squeeze Theorem
Reading: Course Notes Chapter 10, or B&C 2.3

We will discuss the following exercises from the course notes. Please attempt them in advance.
Chapter 10: 10, 12, 16, 24, 28


Quiz 2 (Lectures 9 & 10A) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.		 3

Complete before next class:
Lecture 11: Continuity
Reading: Course Notes Chapter 11 or B&C 2.6
6

Complete before next class:
Lecture 12: Infinite Limits
 
 University Closed
 8

Complete before class:
Lecture 13A: Limits at Infinity

We will discuss the following exercises from the course notes. Please attempt them in advance.
Chapter 11: 4, 6, 12, 16, 22
Chapter 12: 2, 4, 6, 8, 18

Quiz 3 (Lectures 10A,B & 11) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.		 10

Complete before next class:
Lecture 13B: Limits at Infinity, continued
Lecture 15: Slopes of Tangents
13

Complete before class:
Lecture 16: The Derivative

We will discuss the following exercises from the course notes. Please attempt them in advance.
Chapter 13: 2, 6, 8, 18

 Quiz 4 (Lectures 12, 13A, 13B) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.
 15

Complete before next class:
Lecture 17: Rules for Derivatives

We will discuss the following exercises from the course notes. Please attempt them in advance.
Chapter 15: 4
Chapter 16: 4

 Quiz 5 (Lecture 16) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.		 17

Complete before next class:
Lecture 18A: Notation & Examples
Lecture 18B: Differentiability
20

Complete before class:
Lecture 19: The Derivative of ex

Please attempt these exercises.
 Chapter 17: 2, 4, 8, 12
Chapter 18: 2, 4, 6, 12

Quiz 6 (Lecture 17) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version. 		22

Complete before class:
Lecture 20: Product and Quotient Rules

Please attempt these exercises.
Chapter 19: 6, 8
 
Quiz 7 (Lectures 17, 18A, 18B, 19) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version. 		24

Complete before next class:
Lecture 21: Derivatives of Trig Functions

Please attempt these exercises.
Chapter 20: 2, 8, 18, 20
27

Complete before class:
Lecture 22: Higher Derivatives

Please attempt these exercises:
Chapter 21: 2, 4, 14, 18
Chapter 22: 2

Quiz 8 (Lectures 17-21) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.
 29

Complete before class:
Lecture 23A: The Chain Rule, Part A

Please attempt these exercises:
Chapter 23: 2, 16, 20, 32, 38, 40


Quiz 9 (Lectures 17-23A) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.		 1

Complete before next class:
Lecture 23B: The Chain Rule, Part B
Oct. 4

Complete before class:
Lecture 24: Derivatives of Inverses and Logs

Please attempt these exercises:
Chapter 24: 2, 4, 18

Quiz 10 (Lectures 17-23B) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.
 6

Complete before class:
Lecture 25: Derivatives of Inverse Trig Functions

Please attempt these exercises:
Chapter 25: 4, 12, 14

Quiz 11 (Lectures 17-24) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version. 		8

OPTIONAL CLASS
(Q&A and review)
9:00-9:50 Trani Life Sciences 250 and
2:00-2:30 Oliver Physical Sciences 3059

Complete before next class:
Lecture 26: Meanings of Derivatives
11

Complete before next class:
Lecture 27: Implicit Differentiation

Please attempt these exercises.
Chapter 26: 4, 10
 
Quiz 12 (Lectures 17-26) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.
 13

Complete before next class:
Lecture 28: Logarithmic Differentiation

Please attempt these exercises.
Chapter 27: 6, 10

Quiz 13 (Lecture 27) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.		 15

OPTIONAL MIDTERM REVIEW
2:00-2:50 Oliver Physical Sciences 3059

Complete before October 25:
Lecture 29: Related Rates
18

Free day (Study for midterm!)
 20

Free day (Study for midterm!)
Complete before Nov. 1:
Lecture 30: Increase-Decrease 		22

Complete before Nov. 1:
Lecture 31: Extrema and First Derivative Test
25

Midterm Review

Please attempt these exercises.
Chapter 28: 2
Chapter 29: 4

Quiz 14 (Lecture 28) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version. 		27

MIDTERM EXAM (Lectures 7-13, 15-29)

Here is a sample midterm: [Blank | Solved]

Here are today's midterms:
Version 1  [Blank | Solved] (Heads)
Version 2  [Blank | Solved] (Tails)		 29

Complete before next class:
Lecture 32A: Concavity
Nov. 1

Complete before next class:
Lecture 32B: Second Derivative Test

Please attempt these exercises.
Chapter 30: 2, 6
Chapter 31: 2, 8, 12

Quiz 15 (Lectures 30 & 31) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version. 		3

Complete before class:
Lecture 33: Global Extrema

Please attempt these exercises.
Chapter 32: 2, 6, 14

Quiz 16 (Lectures 32A & 32B) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.
5

Complete before class:
Lecture 34A: Optimization Problems

Deadline to withdraw or declare P/F
8

Complete before next class:
Lecture 34B: More Optimization Problems

Please attempt these exercises.
Chapter 33: 2, 4, 8

Quiz 17 (Lecture 33) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.		 10

Complete before next class:
Lecture 35: Mean Value Theorem
Lecture 36A: Linear Approximations

Please attempt these exercises.
Chapter 34: 2, 6

 Quiz 18 (Lectures 34A & 34 B) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version. 		12

Complete before next class:
Lecture 37A: L'Hopital's Rule: Forms 0/0 & ?/?
15

Complete before next class:
Lecture 37B: L'Hopital's Rule: Forms 0·? & ?-?
Lecture 37C: L'Hopital's Rule: Forms  ?0,  1?,  00

Quiz 19 (Lecture 35 & 36A) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.		 17

Complete before next class:
Lecture 38: Antiderivatives

Please attempt these exercises.
 Chapter 37: 2, 10, 18, 28

Quiz 20 (Lecture 37AB) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.		 19
Complete before next class:
Lecture 39A: Initial Value Problems
Lecture 39B: Differentials
22
Thanksgiving break

 24
Thanksgiving break
 26
Thanksgiving break
Dec. 29

Complete before class:
Lecture 40: Area

Please attempt these exercises.
 Chapter 38: 4, 6, 20, 28, 34, 38

Quiz 21 (Lectures 37C, 38) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version. 		1

Complete before class:
Lecture 41A: The Definite Integral

Please attempt these exercises.
 Chapter 39: 2, 12

Quiz 22 (Lectures 38, 39A) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version. 		3

Complete before next class:
Lecture 41B: More on Definite Integrals
Lecture 42: Fundamental Theorem of Calculus


Please attempt the following exercises.
Chapter 41: 4, 6, 16, 20, 22
6

Complete before next class:
Lecture 43: More on the Fundamental Theorem

Please attempt these exercises.
Chapter 42: 2, 6, 12, 22

Quiz 23 (Lecture 41A) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version. 		8

Complete before next class:
Lecture 44A: Substitution Rule

Please attempt these exercises.
Chapter 43: 2, 6, 8, 14, 16, 22, 24

Quiz 24 (Lectures 42 & 43) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.
10

Complete before next class:
Lecture 44B: More Substitution Examples
Lecture 44B: Substitution in Definite Integrals

Please attempt these exercises.
Chapter 44: 2, 10, 14, 26, 30
13

Complete before class:
Lecture 45A: When Substitution Fails
Lecture 45B: Summary

Please attempt these exercises.
Chapter 45: 2, 14, 24

Quiz 25 (Lectures 44ABC) [Blank | Solved]
There are four versions. Open the above link and scroll down to find your version.

Last day of class
 15

REVIEW SESSION: 11:00--12:20
Harris Hall, Room 3003

(Harris Hall 3003 is at end of the 3rd floor bridge over Main St. between Oliver Hall and Harris Hall.)
 17

Section 8 FINAL EXAM (8:00-10:50 am)
Trani Life Sciences, Room 250
20

REVIEW SESSION: 11:00--12:20
Oliver Physical Sciences, Room 3059

Section 7 FINAL EXAM (12:30-3:20 pm)
Oliver Physical Sciences, Room 3059
21
 22

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