Summer 2023

Math 16020: Applied Calculus II

Course Day & Time: MTWRF 9:50 - 10:50 am

   □ Classroom: SCHM 121 (formely the Recitation Building)

Office Hours will be held in MATH 643

   □ Times: Wednesdays 11:00am - 12:00pm


Course Calendar

Week 1

Monday

Tuesday

Wednesday

Thursday

Friday

6/12/2023

6/13/2023

6/14/2023

6/15/2023

6/16/2023

 

Lesson 0: (Notes)

 

   □ Course Information

   □ Review

 

Lesson 1: (Notes)

 

   □ Integration by Substitution

 

 

Lesson 2: (Worksheet | Notes)

 

   □ Integration by Substitution - Applications

 

 

Lesson 3: (Notes)

 

   □ Integration - Natural Logarithms

 

 

Lesson 4: (Notes)

 

   □ Integration by Parts I

 

 

Lesson 5: (Notes)

 

   □ Integration by Parts II

 

Week 2

Monday

Tuesday

Wednesday

Thursday

Friday

6/19/2023

6/20/2023

6/21/2023

6/22/2023

6/23/2023

 

Lesson 6: (Handout | Notes)

 

   □ Partial Fractions Decomposition

 

 

Lesson 7: (Handout | Notes)

 

   □ Integrating Partial Fractions

 

 

Lesson 8: (Limit Review | Notes)

 

   □ Improper Integrals

 

 

Review for Exam 1

 

Study Guides (Algebra | Calculus 1 | Calculus 2)

 

Practice Exam 1 (Assignment | Solutions)

 

Updated on 6/22/23 at 11:24 am.

 

 

EXAM 1

Lesson(s) Covered: 1 - 7

Time: 9:30 - 11:00 am

Location: HAMP 3144

 

Note: The exam will be done on the computer. In addition, though the exam time is an hour and a half, you will only have an hour to complete the exam.

 

 

Writing Assignment 1 (Assignment

   □ Topic: Single Variable Derivatives

 

Writing Assignment 2 (Assignment

   □ Topic: Integration By Subsitution

 

Note: Writing Assignments need to be submitted via Brightspace.

 

 

Writing Assignment 3 (Assignment

   □ Topic: Partial Fractions

 

Note: Writing Assignments need to be submitted via Brightspace.

 

Week 3

Monday

Tuesday

Wednesday

Thursday

Friday

6/26/2023

6/27/2023

6/28/2023

6/29/2023

6/30/2023

 

Lesson 9: (Algebra Review | Notes)

 

   □ Area Between Two Curves

       □ dx Problems

       □ dy Problems

 

 

Lesson 10: (Powerpoint Slides | Notes | Geogebra Animations)

 

   □ Solids of Revolution

       □ Disks

 

Note that the Geogebra Animations are labeled as Lesson 14 because of the numbering we have for this topic in the Fall/Spring Semesters..

 

 

Lesson 11: (Powerpoint Slides | Notes | Geogebra Animations)

 

   □ Solids of Revolution

       □ Washers

 

Note that the Geogebra Animations are labeled as Lesson 15 because of the numbering we have for this topic in the Fall/Spring Semesters..

 

 

Lesson 12: (Powerpoint Slides | Notes | Geogebra Animations)

 

   □ Solids of Revolution

       □ Rotation around any non-Axis

 

Note that the Geogebra Animations are labeled as Lesson 16 because of the numbering we have for this topic in the Fall/Spring Semesters..

 

 

Lesson 13: (Powerpoint Slides | Notes | Geogebra Animations)

 

   □ Solids of Revolution

       □ Shells

 

Note that the Geogebra Animations are labeled as Lesson 17 because of the numbering we have for this topic in the Fall/Spring Semesters..

 

 

Writing Assignment 4 (Assignment

   □ Topic: Area Between Two Curves

 

Note: Writing Assignments need to be submitted via Brightspace.

 

 

Writing Assignment 5 (Assignment

   □ Topic: Cross Sections

 

Note: Writing Assignments need to be submitted via Brightspace.

 

 

Suppemental Homework (Assignment | Solutions) .

 

Week 4

Monday

Tuesday

Wednesday

Thursday

Friday

7/3/2023

7/4/2023

7/5/2023

7/6/2023

7/7/2023

NO CLASS 

NO CLASS 

(4th of July)

 

Lesson 14: (Problem Set | Notes)

 

   □ Differential Equations:

       □ Solutions, Growth and Decay

       □ Separation of Variables

 

Need more of a Calculus 1 Review: click here or here.

 

 

Review for Exam 2

 

Study Guides (Algebra | Calculus 1 | Calculus 2)

 

Practice Exam 2 (Assignment | Solutions)

 

 

EXAM 2

Lesson(s) Covered: 8 - 13

Time: 9:30 - 11:00 am

Location: HAMP 3144

 

Note: The exam will be done on the computer. In addition, though the exam time is an hour and a half, you will only have an hour to complete the exam.

 

Week 5

Monday

Tuesday

Wednesday

Thursday

Friday

7/10/2023

7/11/2023

7/12/2023

7/13/2023

7/14/2023

 

Lesson 15: (Problem Set | Notes)

 

   □ Differential Equations

       □ Separation of Variables

 

 

Lesson 16: (Notes)

 

   □ First-Order Linear Differential Equations I

 

 

Lesson 17: (Notes)

 

   □ First-Order Linear Differential Equations II

 

 

Lesson 18: (Notes)

 

   □ Geometric Series

 

 

Lesson 19: (Notes)

 

   □ Power Series

 

 

Writing Assignment 6 (Assignment

   □ Topic: Separation of Variables

 

Note: Writing Assignments need to be submitted via Brightspace.

 

 

Writing Assignment 7 (Assignment

   □ Topic: First-Order Linear Differential Equations

 

Note: Writing Assignments need to be submitted via Brightspace.

 

Week 6

Monday

Tuesday

Wednesday

Thursday

Friday

7/17/2023

7/18/2023

7/19/2023

7/20/2023

7/21/2023

 

Lesson 20: (Notes)

 

   □ Maclaurin Series

 

 

Lesson 21: (Algebra Review | Notes)

 

   □ Functions of Several Variables

 

Useful Definitions for HW 21.

 

 

Lesson 22: (Calculus 1 Review | Notes)

 

   □ Partial Derivatives

   □ Higher-Order Partial Derivatives

 

 

Review for Exam 3

 

Study Guides (Algebra | Calculus 2)

 

Practice Exam 3 (Exam 3 Cover Sheet | Assignment | Solutions)

 

 

EXAM 3

Lesson(s) Covered: 14 - 21

Time: 9:30 - 11:00 am

Location: HAMP 3144

 

Note: The exam will be done on the computer. In addition, though the exam time is an hour and a half, you will only have an hour to complete the exam.

 

 

Writing Assignment 8 (Assignment

   □ Topic: Power Series

 

Note: Writing Assignments need to be submitted via Brightspace.

 

 

Writing Assignment 9 (Assignment

   □ Topic: Functions of Several Variables

 

Writing Assignment 10 (Assignment

   □ Topic: Level Curves

 

Note: Writing Assignments need to be submitted via Brightspace.

 

Week 7

Monday

Tuesday

Wednesday

Thursday

Friday

7/24/2023

7/25/2023

7/26/2023

7/27/2023

7/28/2023

 

Lesson 23: (Notes)

 

   □ Extrema of Functions of Two Variables

 

 

Lesson 24: (Worksheet | Notes)

 

   □ Extrema of Functions of Two Variables - Applications

 

 

Lesson 25: (Notes)

 

   □ Lagrange Multipliers

 

 

Lesson 26: (Worksheet | Notes)

   □ Lagrange Multipliers - Applications

 

 

Lesson 27: (Notes)

 

   □ Double Integrals

       □ Rectangular and General Regions

 

 

Writing Assignment 11 (Assignment

   □ Topic: Partial Derivatives

 

Writing Assignment 12 (Assignment

   □ Topic: Higher-Order Partial Derivatives

 

Note: Writing Assignments need to be submitted via Brightspace.

 

 

Writing Assignment 13 (Assignment

   □ Topic: Extrema of Functions of Two Variables

 

Writing Assignment 14 (Assignment

   □ Topic: Partial Derivatives (again)

 

Note: Writing Assignments need to be submitted via Brightspace.

 

 

Writing Assignment 15 (Assignment

   □ Topic: LaGrange Multipliers

 

Writing Assignment 16 (Assignment

   □ Topic: Partial Derivatives (again)

 

Note: Writing Assignments need to be submitted via Brightspace.

 

Week 8

Monday

Tuesday

Wednesday

Thursday

Friday

7/31/2023

8/1/2023

8/2/2023

8/3/2023

8/4/2023

 

Lesson 28: (Notes)

 

   □ Double Integrals

       □ Changing Order of Integration

 

 

Review for Final Exam

 

 

Practice Final Exam (Assignment | Solutions)

 

 

 

 

FINAL EXAM

Lesson(s) Covered: 22 - 28

Time: 9:30 - 11:00 am

Location: HAMP 3144

 

Note: The exam will be done on the computer. In addition, though the exam time is an hour and a half, you will only have an hour to complete the exam.

 

 

 

NO CLASS 

 

 

NO CLASS 

 

Writing Assignment 17 (Assignment

   □ Topic: Double Integrals

 

Writing Assignment 18 (Assignment

   □ Topic: Partial Derivatives (again)

 

Note: Writing Assignments need to be submitted via Brightspace.