Spring 2023
Math 16020: Applied Calculus II
Course Day & Time: Mon./Wed./Fri. 11:30 AM - 12:20 PM, 12:30 - 1:20 PM
□ Classroom: LILY G401
In-Person Office Hours will be held in WTHR 313
□ Times: Mondays from 1:30 - 3:30 pm
Important Links
- MA 16020 Page
- Piazza: an online forum for questions and answers regarding the content of the course (such as questions about homework problems).
- LON-CAPA: Main online resource for the course. Contains instruction videos and texts for each lesson, with solved problems. Also all the homework assignments are done through LON-CAPA.
- Brightspace:here the scores from homework, quizzes and exams are kept, and some info regarding the course might be shared.
Course Calendar
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Week 1 |
Monday |
Wednesday |
Friday |
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1/9/2023 |
1/11/2023 |
1/13/2023 |
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Lesson 0 - 1: (Notes)
□ Course Information □ Review of Differentiation
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Lesson 2: (Notes)
□ Review of Integration
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Lesson 3: (Notes)
□ Integration By Substitution I
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Week 2 |
Monday |
Wednesday |
Friday |
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1/16/2023 |
1/18/2023 |
1/20/2023 |
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NO CLASS
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Lesson 4: (Notes)
□ Integration By Substitution II
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□ Integration By Substitution - Applications
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Quiz 1 (Assignment | Solutions) □ Lesson(s) Covered: 0 - 1 - 2 □ Topic(s) Covered: □ Review of Differentation □ Review of Integration
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Week 3 |
Monday |
Wednesday |
Friday |
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1/23/2023 |
1/25/2023 |
1/27/2023 |
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Lesson 6: (Notes)
□ The Natural Logarithmic Function: Integration
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Lesson 7: (Notes)
□ Integration by Parts I
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Lesson 8: (Notes)
□ Integration by Parts II
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Quiz 2 (Assignment | Solutions) □ Lesson(s) Covered: 3 - 4 □ Topic(s) Covered: □ Integration By Substitution
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Quiz 3 (Assignment | Solutions) □ Lesson(s) Covered: 6 □ Topic(s) Covered: □ The Natural Logarithmic Function: Integration
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Week 4 |
Monday |
Wednesday |
Friday |
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1/30/2023 |
2/1/2023 |
2/3/2023 |
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□ Partial Fractions I
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□ Partial Fractions II
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Lesson 11: (Limit Review | Notes)
□ Improper Integrals
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Quiz 4 (Assignment | Solutions) □ Lesson(s) Covered: 7 - 8 □ Topic(s) Covered: □ Integration by Parts
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Week 5 |
Monday |
Wednesday |
Friday |
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2/6/2023 |
2/8/2023 |
2/10/2023 |
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Lesson 12: (Algebra Review | Notes)
□ Area Between Two Curves I □ dx Problems
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Review for Exam 1
Study Guides (Algebra | Calculus 1 | Calculus 2)
Practice Exam 1 (Assignment | Solutions)
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NO CLASS
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EXAM 1 □ Lesson(s) Covered: 1 - 10 □ Time: 6:30 - 7:30 pm □ Location: LYNN 1136
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Week 6 |
Monday |
Wednesday |
Friday |
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2/13/2023 |
2/15/2023 |
2/17/2023 |
Lesson 13: (Notes)
□ Area Between Two Curves II □ dy Problems
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Lesson 14: (Powerpoint Slides | Notes | Geogebra Animations)
□ Solids of Revolution □ Disks
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Lesson 15: (Powerpoint Slides | Notes | Geogebra Animations)
□ Solids of Revolution □ Washers
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Quiz 5 (Assignment | Solutions) □ Lesson(s) Covered: 12 □ Topic(s) Covered: □ Area Between Two Curves I
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Week 7 |
Monday |
Wednesday |
Friday |
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2/20/2023 |
2/22/2023 |
2/24/2023 |
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Lesson 16: (Powerpoint Slides | Notes | Geogebra Animations)
□ Volume of Solids of Revolution □ Rotation around any non-Axis
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Lesson 17: (Powerpoint Slides | Notes | Geogebra Animations)
□ Solids of Revolution □ Shells
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Lesson 18: (Problem Set | Notes)
□ Differential Equations: □ Solutions, Growth and Decay □ Intro. to Separation of Variables
Need more of a Calculus 1 Review: click here or here.
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Quiz 6 (Assignment | Solutions) □ Lesson(s) Covered: 14 - 15 □ Topic(s) Covered: □ Solids of Revolution □ Disks □ Washers
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Week 8 |
Monday |
Wednesday |
Friday |
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2/27/2023 |
3/1/2023 |
3/3/2023 |
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Lesson 19: (Notes)
□ Differential Equations: □ Separation of Variables I
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Review for Exam 2
Study Guides for Exam 2 (Algebra | Calculus 1 | Calculus 2)
Practice Exam 2 (Assignment | Solutions)
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Lesson 20: (Problem Set | Notes)
□ Differential Equations: □ Separation of Variables II
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Quiz 7 (Assignment | Solutions) □ Lesson(s) Covered: 16 - 17 □ Topic(s) Covered: □ Solids of Revolution □ Rotation around any non-Axis □ Shells
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EXAM 2 □ Lesson(s) Covered: 11 - 18 □ Time: 6:30 - 7:30 pm □ Location: LILY 1105
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Week 9 |
Monday |
Wednesday |
Friday |
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3/6/2023 |
3/8/2023 |
3/10/2023 |
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Lesson 21: (Notes)
□ First-Order Linear Differential Equations I
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Lesson 22: (Notes)
□ First-Order Linear Differential Equations II
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NO CLASS
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Quiz 8 (Assignment | Solutions) □ Lesson(s) Covered: 19 - 20 □ Topic(s) Covered: □ Separation of Variables
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Week 10 |
Monday |
Wednesday |
Friday |
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3/13/2023 |
3/15/2023 |
3/17/2023 |
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NO CLASS (SPRING VACATION)
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NO CLASS (SPRING VACATION)
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NO CLASS (SPRING VACATION)
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Week 11 |
Monday |
Wednesday |
Friday |
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3/20/2023 |
3/22/2023 |
3/24/2023 |
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Lesson 23: (Notes)
□ Geometric Series
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Lesson 24: (Notes)
□ Power Series
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Lesson 25: (Notes)
□ Maclaurin Series
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Quiz 9 (Assignment | Solutions) □ Lesson(s) Covered: 21 - 22 □ Topic(s) Covered: □ First-Order Linear Differential Equations
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Week 12 |
Monday |
Wednesday |
Friday |
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3/27/2023 |
3/29/2023 |
3/31/2023 |
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Lesson 26: (Algebra Review | Notes)
□ Functions of Several Variables
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Lesson 27: (Calculus 1 Review | Example 1 | Notes)
□ Partial Derivatives
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Lesson 28: (Calculus 1 Review | Notes)
□ Higher Order Partial Derivatives
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Quiz 10 (avaliable on request) □ Lesson(s) Covered: 27 □ Topic(s) Covered: □ Partial Derivatives
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Week 13 |
Monday |
Wednesday |
Friday |
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4/3/2023 |
4/5/2023 |
4/7/2023 |
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Lesson 29: (Geogebra Animations | Notes)
□ Extrema of the Two Variables
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Review for Exam 3
Study Guides for Exam 3 (Algebra | Calculus 1 | Calculus 2)
Practice Exam 3 (Exam 3 Cover Sheet | Assignment | Solutions)
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NO CLASS
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EXAM 3 □ Lesson(s) Covered: 19 - 28 □ Time: 6:30 - 7:30 pm □ Location: LILY 1105
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Week 14 |
Monday |
Wednesday |
Friday |
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4/10/2023 |
4/12/2023 |
4/14/2023 |
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Lesson 30: (Worksheet | Notes)
□ Extrema of the Two Variables - Applications
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Lesson 31: (Notes)
□ LaGrange Multipliers
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Lesson 32: (Worksheet | Notes)
□ LaGrange Multipliers - Applications
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Quiz 11 (Practice Quiz | Assignment | Solutions) □ Lesson(s) Covered: 29 - 30 □ Topic(s) Covered: □ Extrema of the Two Variables
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Week 15 |
Monday |
Wednesday |
Friday |
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4/17/2023 |
4/19/2023 |
4/21/2023 |
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Lesson 33: (Notes)
□ Double Integrals I
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Lesson 34: (Notes)
□ Double Integrals II
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Lesson 35: (Notes)
□ Double Integrals III
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Quiz 12 (Assignment | Solutions) □ Lesson(s) Covered: 31 - 32 □ Topic(s) Covered: □ LaGrange Multipliers
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Week 16 |
Monday |
Wednesday |
Friday |
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4/24/2023 |
4/26/2023 |
4/28/2023 |
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Review for Final Exam
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Review for Final Exam
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Review for Final Exam
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Finals Week |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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5/1/2023 |
5/2/2023 |
5/3/2023 |
5/4/2023 |
5/5/2023 |
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NO CLASS
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FINAL EXAM □ Lesson(s) Covered: 1 - 35 □ Time: 1:00 - 3:00 pm □ Location: RHPH 172
Practice Final Exam (Formula Sheet | Breakdown | Assignment | Solutions)
Updated on 5/1/23.
Numbers 73, 80 and 97(a) have been corrected.
Numbers 6, 7, 14, 16, 25, 40, 84, 87, 89, 91, 92, 96, and 102 have been corrected.
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NO CLASS
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