## 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

### Course Calendar

 Week 1 Monday Wednesday Friday 1/10/2022 1/12/2022 1/14/2022 Lesson R1: (Notes)      □ Course Information    □ Review of Differentiation Lesson R2: (Notes)      □ Review of Integration     HW R2 Selected Solutions Lesson 1A: (Warm-Up | Notes)      □ Integration By Substitution     HW 1A Selected Solutions:    □ Solutions for #4 and #6 are in the Notes.
 Week 2 Monday Wednesday Friday 1/17/2022 1/19/2022 1/21/2022 NO CLASS 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.. Lesson 2:      □ Integration By Substitution     HW 2 Selected Solutions:    □ Solution for #3 is in the Notes. Quiz 1 (Assignment | Solutions)     □ Lesson(s) Covered: R1 / R2    □ Topic(s) Covered:       □ Review of Differentation       □ Review of Integration
 Week 3 Monday Wednesday Friday 1/24/2022 1/26/2022 1/28/2022 Lesson 3: (Notes)      □ The Natural Logarithmic Function: Integration Lesson 4: (Notes)      □ Integration by Parts     HW 3 Selected Solutions:    □ Solution for #2 is in the Notes. Lesson 5:      □ Integration by Parts Quiz 2 (Assignment | Solutions)     □ Lesson(s) Covered: 1A, 1B, 2    □ Topic(s) Covered:       □ Integration By Substitution Quiz 3 (Assignment | Solutions)     □ Lesson(s) Covered: 3    □ Topic(s) Covered:       □ The Natural Logaritmic Function: Integration
 Week 4 Monday Wednesday Thursday Friday 1/31/2022 2/2/2022 2/3/2022 2/4/2022 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 EXAM 1 RESCHEDULED FOR MON. 2/14 NO CLASS Quiz 4 (Assignment | Solutions)     □ Lesson(s) Covered: 4, 5    □ Topic(s) Covered:       □ Integration by Parts
 Week 5 Monday Wednesday Friday 2/7/2022 2/9/2022 2/11/2022 Lesson 8:      □ Differential Equations:        □ Separation of Variables Lesson 9: (Warm-Up | Notes)      □ First-Order Linear Differential Equations Lesson 10:      □ First-Order Linear Differential Equations Quiz 5 (Assignment | Solutions)     □ Lesson(s) Covered: 6, 7, 8    □ Topic(s) Covered:       □ Differential Equations: Separation of Variables
 Week 6 Monday Wednesday Friday 2/14/2022 2/16/2022 2/18/2022 NO CLASS Lesson 11:      □ Area of a Region Between two curves Lesson 12:      □ Volume of Solids of Revolution        □ Disk Method TIPS FOR EXAM 1   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) Quiz 6 (Assignment | Solutions)     □ Lesson(s) Covered: 11    □ Topic(s) Covered:       □ Area of a Region Between two curves Equations
 Week 7 Monday Wednesday Friday 2/21/2022 2/23/2022 2/25/2022 Lesson 13:      □ Volume of Solids of Revolution        □ Washer Method Lesson 14:      □ Volume of Solids of Revolution        □ Rotation around any non-Axis Lesson 15:      □ Improper Integrals Quiz 7 (Assignment | Solutions)     □ Lesson(s) Covered: 12, 13, 14    □ Topic(s) Covered:       □ Volume of Solids of Revolution Equations
 Week 8 Monday Wednesday Friday 2/28/2022 3/2/2022 3/4/2022 Lesson 16: (Notes)      □ Geometric Series and Convergence Lesson 17:      □ Geometric Series and Convergence Lesson 18:      □ Intro to Functions of Several Variables Quiz 8 (Assignment | Solutions)     □ Lesson(s) Covered: 15    □ Topic(s) Covered:       □ Improper Integrals Quiz 9 (Assignment | Solutions)     □ Lesson(s) Covered: 16, 17    □ Topic(s) Covered:       □ Geometric Series and Convergence
 Week 9 Monday Wednesday Thursday Friday 3/7/2022 3/9/2022 3/10/2022 3/11/2022 Lesson 19:      □ Partial Derivatives   To review basic derivatives, refer to Lessons 7, 9, 10, 11, and 12 from MA 16010. Lesson 20:      □ Higher Order Partial Derivatives   To review higher order derivatives, refer to Lesson 13 from MA 16010. EXAM 2 □ Lesson(s) Covered: 7 - 19 □ Time: 8:00 - 9:30 pm □ Location: CL50(Class of '50), the Large Lecture Hall NO CLASS Quiz 10 (Assignment | Solutions)     □ Lesson(s) Covered: 18    □ Topic(s) Covered:       □ Intro to Functions of Several Variables
 Week 10 Monday Wednesday Friday 3/14/2022 3/16/2022 3/18/2022 NO CLASS  (SPRING VACATION) NO CLASS  (SPRING VACATION) NO CLASS  (SPRING VACATION)
 Week 11 Monday Wednesday Friday 3/21/2022 3/23/2022 3/25/2022 Lesson 21:      □ Differentials of Multivariable Functions 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. Lesson 23:      □ 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. Quiz 11 (Assignment | Solutions)     □ Lesson(s) Covered: 21    □ Topic(s) Covered:       □ Differentials of Multivariable Functions
 Week 12 Monday Wednesday Friday 3/28/2022 3/30/2022 4/1/2022 Lesson 24: (Handout | Notes)      □ Extrema of Functions of Two Variables Lesson 25: (Notes)      □ LaGrange Multipliers Constrained Min/Max Lesson 26: (Handout | Notes)      □ LaGrange Multipliers Constrained Min/Max Quiz 12 (Assignment | Solutions)     □ Lesson(s) Covered: 22    □ Topic(s) Covered:       □ Chain Rule, Functions of Several Variables Quiz 13 (Assignment | Solutions)     □ Lesson(s) Covered: 23, 24    □ Topic(s) Covered:       □ Extrema of Functions of Two Variables
 Week 13 Monday Wednesday Friday 4/4/2022 4/6/2022 4/8/2022 Lesson 27: (Notes)      □ Double Integrals, Volume, Applications Lesson 28: (Notes)      □ Double Integrals, Volume, Applications Lesson 29: (Notes)      □ Double Integrals, Volume, Applications Quiz 14 (Assignment | Solutions)     □ Lesson(s) Covered: 25, 26    □ Topic(s) Covered:       □ LaGrange Multipliers Constrained Min/Max
 Week 14 Monday Wednesday Thursday Friday 4/11/2022 4/13/2022 4/14/2022 4/15/2022 Lesson 30: (Notes)      □ Systems of Equations, Matrices, Gaussian Elimination Lesson 31: (Notes)      □ Gauss-Jordan Elimination EXAM 3 □ Lesson(s) Covered: 19 - 30 □ Time: 8:00 - 9:30 pm □ Location: LILY 1105 NO CLASS Quiz 15 POSTPONED
 Week 15 Monday Wednesday Friday 4/18/2022 4/20/2022 4/22/2022 Lesson 32: (Notes)      □ Matrix Operations Lesson 33: (Notes)      □ Inverses of Matrices Lesson 34: (Notes)      □ Determinants of Matrices Quiz 15 (Assignment | Solutions)     □ Lesson(s) Covered: 30, 31    □ Topic(s) Covered:       □ Systems of Equations, Matrices, Gaussian Elimination       □ Gauss-Jordan Elimination Quiz 16 (Assignment | Solutions)     □ Lesson(s) Covered: 32, 33    □ Topic(s) Covered:       □ Matrix Operations       □ Inverses of Matrices
 Week 16 Monday Wednesday Friday 4/25/2022 4/27/2022 4/29/2022 Lesson 35: (Notes)      □ Eigenvalues and Eigenvectors        □ 2x2 Case Lesson 36:      □ Eigenvalues and Eigenvectors        □ 3x3 Case Review for Final Exam (Handout | Solutions)
 Finals Week Monday Tuesday Wednesday Thursday Friday 5/2/2021 5/3/2021 5/4/2021 5/5/2021 5/6/2021 NO CLASS FINAL EXAM □ Lesson(s) Covered: 1 - 36 □ Time: 8:00 AM - 10:00 AM □ Location: ME 1061 (Mechanical Engineering Bldg, Lecture Hall) NO CLASS

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