Spring 2022
Math 16020: Applied Calculus II
Course Day & Time: Mon./Wed./Fri. 3:30 - 4:20 PM, 4:30 - 5:20 PM
□ Classroom: LILY G401
In-Person Office Hours will be held in MATH 205
□ Times: Tues./Thurs. 4:30 - 5:30 PM
Piazza Hours
□ Times: Fri. 12 - 2 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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1/10/2022 |
1/12/2022 |
1/14/2022 |
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Lesson R1: (Notes)
□ Course Information □ Review of Differentiation
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Lesson R2: (Notes)
□ Review of Integration
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□ Integration By Substitution
HW 1A Selected Solutions: □ Solutions for #4 and #6 are in the Notes.
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Week 2 |
Monday |
Wednesday |
Friday |
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1/17/2022 |
1/19/2022 |
1/21/2022 |
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NO CLASS
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Lesson 1B: (Notes)
□ Integration By Substitution
Example 2a: Originally I didn't mention, the two ways of doing Definite Integrals in my notes. But I decided to add them in this document..
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Lesson 2: (Problem Set | Notes)
□ Integration By Substitution
HW 2 Selected Solutions: □ Solution for #3 is in the Notes.
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Quiz 1 (Assignment | Solutions) □ Lesson(s) Covered: R1 / R2 □ Topic(s) Covered: □ Review of Differentation □ Review of Integration
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Week 3 |
Monday |
Wednesday |
Friday |
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1/24/2022 |
1/26/2022 |
1/28/2022 |
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Lesson 3: (Notes)
□ The Natural Logarithmic Function: Integration
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Lesson 4: (Notes)
□ Integration by Parts
HW 3 Selected Solutions: □ Solution for #2 is in the Notes.
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Lesson 5: (Problem Set | Notes)
□ Integration by Parts
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Quiz 2 (Assignment | Solutions) □ Lesson(s) Covered: 1A, 1B, 2 □ Topic(s) Covered: □ Integration By Substitution
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Quiz 3 (Assignment | Solutions) □ Lesson(s) Covered: 3 □ Topic(s) Covered: □ The Natural Logaritmic Function: Integration
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Week 4 |
Monday |
Wednesday |
Thursday |
Friday |
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1/31/2022 |
2/2/2022 |
2/3/2022 |
2/4/2022 |
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Lesson 6: (Notes)
□ Differential Equations: □ Solutions, Growth and Decay □ Separation of Variables
HW 6 Selected Solutions: □ Solution for #12 can be found here. |
Lesson 7: (Notes)
□ Differential Equations: □ Separation of Variables
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EXAM 1 RESCHEDULED FOR MON. 2/14
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NO CLASS
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Quiz 4 (Assignment | Solutions) □ Lesson(s) Covered: 4, 5 □ Topic(s) Covered: □ Integration by Parts
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Week 5 |
Monday |
Wednesday |
Friday |
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2/7/2022 |
2/9/2022 |
2/11/2022 |
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Lesson 8: (Problem Set | Notes)
□ Differential Equations: □ Separation of Variables
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□ First-Order Linear Differential Equations
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Lesson 10: (Problem Set | Notes)
□ First-Order Linear Differential Equations
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Quiz 5 (Assignment | Solutions) □ Lesson(s) Covered: 6, 7, 8 □ Topic(s) Covered: □ Differential Equations: Separation of Variables
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Week 6 |
Monday |
Wednesday |
Friday |
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2/14/2022 |
2/16/2022 |
2/18/2022 |
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NO CLASS
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Lesson 11: (Algebra Review | Notes | Bonus Material )
□ Area of a Region Between two curves
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Lesson 12: (Powerpoint Slides | Notes | Geogebra Animations)
□ Volume of Solids of Revolution □ Disk Method
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EXAM 1 □ Lesson(s) Covered: R1, R2, 1 - 6 □ Time: 8:00 - 9:30 pm □ Location: UC 114 (University Church building, across the street from Grissom Hall)
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Quiz 6 (Assignment | Solutions) □ Lesson(s) Covered: 11 □ Topic(s) Covered: □ Area of a Region Between two curves Equations
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Week 7 |
Monday |
Wednesday |
Friday |
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2/21/2022 |
2/23/2022 |
2/25/2022 |
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Lesson 13: (Powerpoint Slides | Notes | Geogebra Animations)
□ Volume of Solids of Revolution □ Washer Method
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Lesson 14: (Powerpoint Slides | Notes)
□ Volume of Solids of Revolution □ Rotation around any non-Axis
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Lesson 15: (Limit Review | Notes)
□ Improper Integrals
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Quiz 7 (Assignment | Solutions) □ Lesson(s) Covered: 12, 13, 14 □ Topic(s) Covered: □ Volume of Solids of Revolution Equations
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Week 8 |
Monday |
Wednesday |
Friday |
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2/28/2022 |
3/2/2022 |
3/4/2022 |
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Lesson 16: (Notes)
□ Geometric Series and Convergence
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Lesson 17: (Problem Set | Notes)
□ Geometric Series and Convergence
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Lesson 18: (Algebra Review | Notes)
□ Intro to Functions of Several Variables
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Quiz 8 (Assignment | Solutions) □ Lesson(s) Covered: 15 □ Topic(s) Covered: □ Improper Integrals
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Quiz 9 (Assignment | Solutions) □ Lesson(s) Covered: 16, 17 □ Topic(s) Covered: □ Geometric Series and Convergence
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Week 9 |
Monday |
Wednesday |
Thursday |
Friday |
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3/7/2022 |
3/9/2022 |
3/10/2022 |
3/11/2022 |
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Lesson 19: (Calculus 1 Review | Notes)
□ Partial Derivatives
To review basic derivatives, refer to Lessons 7, 9, 10, 11, and 12 from MA 16010.
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Lesson 20: (Calculus 1 Review | Notes)
□ Higher Order Partial Derivatives
To review higher order derivatives, refer to Lesson 13 from MA 16010.
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EXAM 2 □ Lesson(s) Covered: 7 - 19 □ Time: 8:00 - 9:30 pm □ Location: CL50(Class of '50), the Large Lecture Hall
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NO CLASS
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Quiz 10 (Assignment | Solutions) □ Lesson(s) Covered: 18 □ Topic(s) Covered: □ Intro to Functions of Several Variables
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Week 10 |
Monday |
Wednesday |
Friday |
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3/14/2022 |
3/16/2022 |
3/18/2022 |
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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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3/21/2022 |
3/23/2022 |
3/25/2022 |
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Lesson 21: (Problem Set | Notes)
□ Differentials of Multivariable Functions
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Lesson 22: (Notes)
□ Chain Rule for Multivariable Functions
For HW 22: Problems 10 and 11, refer to Lesson 18 and Lesson 19 from MA 16010.
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Lesson 23: (Geogebra Animations | Notes)
□ Extrema of Functions of Two Variables
For HW 23: Problems 9 and 10, refer to Examples 5 and 6 from MA 16010 Lesson 26 Notes.
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Quiz 11 (Assignment | Solutions) □ Lesson(s) Covered: 21 □ Topic(s) Covered: □ Differentials of Multivariable Functions
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Week 12 |
Monday |
Wednesday |
Friday |
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3/28/2022 |
3/30/2022 |
4/1/2022 |
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□ Extrema of Functions of Two Variables
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Lesson 25: (Notes)
□ LaGrange Multipliers Constrained Min/Max
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□ LaGrange Multipliers Constrained Min/Max
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Quiz 12 (Assignment | Solutions) □ Lesson(s) Covered: 22 □ Topic(s) Covered: □ Chain Rule, Functions of Several Variables
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Quiz 13 (Assignment | Solutions) □ Lesson(s) Covered: 23, 24 □ Topic(s) Covered: □ Extrema of Functions of Two Variables
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Week 13 |
Monday |
Wednesday |
Friday |
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4/4/2022 |
4/6/2022 |
4/8/2022 |
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Lesson 27: (Notes)
□ Double Integrals, Volume, Applications
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Lesson 28: (Notes)
□ Double Integrals, Volume, Applications
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Lesson 29: (Notes)
□ Double Integrals, Volume, Applications
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Quiz 14 (Assignment | Solutions) □ Lesson(s) Covered: 25, 26 □ Topic(s) Covered: □ LaGrange Multipliers Constrained Min/Max
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Week 14 |
Monday |
Wednesday |
Thursday |
Friday |
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4/11/2022 |
4/13/2022 |
4/14/2022 |
4/15/2022 |
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Lesson 30: (Notes)
□ Systems of Equations, Matrices, Gaussian Elimination
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Lesson 31: (Notes)
□ Gauss-Jordan Elimination
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EXAM 3 □ Lesson(s) Covered: 19 - 30 □ Time: 8:00 - 9:30 pm □ Location: LILY 1105
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NO CLASS
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Quiz 15 POSTPONED
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Week 15 |
Monday |
Wednesday |
Friday |
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4/18/2022 |
4/20/2022 |
4/22/2022 |
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Lesson 32: (Notes)
□ Matrix Operations
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Lesson 33: (Notes)
□ Inverses of Matrices
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Lesson 34: (Notes)
□ Determinants of Matrices
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Quiz 15 (Assignment | Solutions) □ Lesson(s) Covered: 30, 31 □ Topic(s) Covered: □ Systems of Equations, Matrices, Gaussian Elimination □ Gauss-Jordan Elimination
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Quiz 16 (Assignment | Solutions) □ Lesson(s) Covered: 32, 33 □ Topic(s) Covered: □ Matrix Operations □ Inverses of Matrices
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Week 16 |
Monday |
Wednesday |
Friday |
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4/25/2022 |
4/27/2022 |
4/29/2022 |
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Lesson 35: (Notes)
□ Eigenvalues and Eigenvectors □ 2x2 Case
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Lesson 36: (Algebra Review | Notes)
□ Eigenvalues and Eigenvectors □ 3x3 Case
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Review for Final Exam (Handout | Solutions)
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Finals Week |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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5/2/2021 |
5/3/2021 |
5/4/2021 |
5/5/2021 |
5/6/2021 |
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NO CLASS |
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FINAL EXAM □ Lesson(s) Covered: 1 - 36 □ Time: 8:00 AM - 10:00 AM □ Location: ME 1061 (Mechanical Engineering Bldg, Lecture Hall)
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NO CLASS |
Vistor Counter ( since 3/5/2022 ):