Embedded Files
Course Information:
Location: S 161
Time: MWF 12:43 pm – 1:50 pm
Instructor Contact Information:
Instructor: Prof. Yun Su (Suky)
Office Phone: 260-344-4913
Email Address: [email protected] (preferred contact)
Student Hours: MWF 3:15 pm - 4:45 pm, TR 10 am - 10:50 am, 12:50 pm – 1:50 pm; or by appointment.
Sometimes, if I didn't reply to your email immediately or I am not in my office during my office hours, I might be in a meeting with someone else. I will get to you as soon as I can. Thank you for your understanding and patience. Cheers! ^o^
Office: Snyder 159
What are Student Hours?
The main purpose of student hours is to offer students an opportunity for one-on-one interactions with the instructor outside of the regular class time. Here’s what typically occurs:
• Scheduled Timing: The instructor will announce the student hours at the beginning of the semester, including the time, day, and location. These details can also be found on the course syllabus. Each Sunday, the student hours for that week will be posted as an announcement on Blackboard, which also gets sent as an email.
• Questions and Clarifications: Students come with questions about lecture material, readings, assignments, or topics that they find confusing. It’s an opportunity to clarify doubts or delve deeper into a subject.
• Assignment Feedback: After grading, students might want to understand mistakes they made on assignments, exams, or papers. During student hours, instructors can provide more detailed feedback and suggestions for improvement.
• Discussing Grades: If students are concerned about their grades, they might meet with the instructor to understand how they’re performing in the class and get recommendations on how to improve.
• Building Relationships: Beyond just academics, student hours can be a time for students to get to know their instructors better, discuss their academic interests, and potentially seek guidance about future courses, research opportunities, or career paths.
• Course Logistics: Students might have questions about upcoming assignments, exam formats, course policies, or other logistical aspects.
• Additional Resources: The instructor can recommend additional resources for students looking to further their understanding, like books, articles, or other supplementary material.
• Personal Concerns: Sometimes, students might discuss personal issues that are affecting their academic performance, such as health concerns, personal crises, or other challenges. The instructor can offer support, understanding, and direct students to appropriate campus resources.
Text: Open Educational Resource, free online math book: https://openstax.org/details/books/calculus-volume-2
Please feel free to download a PDF. So if you don't have internet access, you could still read the book.
Course Syllabus: class policy How to calculate my grade? Spreadsheet to calculate your grade
Class Schedule: here
How to schedule a tutoring appointment with OSS?
How to study?
Use practice exams as a study guide. Start working on the practice exam earlier. Make sure you understand and remember the steps of every problem. If possible, do the practice exam multiple times.
In class: Engage and take notes. Answer questions. Ask questions.
After class: Review the notes. Watch recordings if needed. When you watch the recording, you can control the speed. Stop every step to think through the math. Make sure you understand every in-class example. If you have questions on some steps of the problem, ask Suky. Visit office hours or if you are not available during my office hours - email me to schedule an appointment. Your exam questions are similar to your in-class examples.
After reviewing the notes and formula, do your homework with a pencil. After you finish, use a red pen to make corrections according to the solution. Please please please be honest with yourself. Do not copy the solution with a pencil. I saw many “perfect homework” (also “perfect practice exam”), but low scores on actual exams. We need to know our mistakes and weaknesses so we can improve!!! Mistakes are our teachers!!! Come to ask me if you don’t understand some solution.
Schedule weekly appointments with a tutor (free tutoring service at the lower level of Snyder Academic Center)
Form a study group.
Concept Maps:
Chapter 6 Application of Integrals Chapter 7 Integration Techniques Chapter 8 Series Chapter 9 Power Series Chapter 10 Paremetic and Polar curves
Handouts:
Lecture Videos YouTube Playlist YouTube videos about Calculus
Link to all blank notes as Word documents
Week 1
Algebra formula sheet, Trig formula sheet, Trig graph, Calculus formula sheet,
Review of Cal 1, 5.5 Substitution,
1.1 Part A Part B Notes with answers
Review of Cal 1 Part A Part B 5.5 Part A Part B Notes with answers
Week 2
6.1 Velocity and Net Change, 6.2 Area between curves
Week 3 & 4
6.3 Volume by Slicing, 6.4 Volume by Shells, 6.5 arc length, ch6 more exercise
6.3 Part A Part B 6.4 6.5 Part A Part B Notes with answers
Week 5
7.1 Integration by parts, 7.2 Trig integrals
7.1 7.2 Part A Part B Notes with answers
Week 6 & 7
7.3 Trig substitution 7.4 Partial fractions
7.3 Part A Part B 7.4 Part A Part B Notes with answers
Week 8
7.7 Improper integrals, 7.8 Differential equations
7.7 Part A Part B 7.8 Notes with answers Ch7 review
Week 9
8.2 Part A Part B 8.3 Notes with answers
Week 10 & 11
8.4 divergence test, 8.5 ratio, root, & comparison tests 8.6 Alternating series, series review
8.4 8.5 Part A Part B Part C 8.6 Part A Part B Notes with answers
Week 12
9.1 Taylor polynomial approximation, 9.2 Properties of Power series
9.1 9.2 Part A Part B Notes with answers
Week 13
9.3 Taylor series, 9.4 Application of power series
9.3 9.4 Part A Part B Notes with answers
Week 14 - 16
10.1 Parametric equation, 10.2 Polar coordinate , 10.3 Calculus in polar coordinate Chapter 10 notes with answers
10.1 Part A Part B 10.2 10.3 Notes with answers Application Summary
Visualizing Tools
Solid of revolution Use Google Chrome Browser to open these websites.
(There is something wrong with internet explorer and the background becomes black.)
6.3 volume of slicing : ex 2, ex 3, ex 5, ex 6, ex 7, ex 8, ex 9, ex 10.
6.4 volume of shells: ex 1, ex 3, ex 4
Extra Credit Projects:
1. Using GeoGebra to visualize solid of rotation pdf instructions
Please make sure you have watched the YouTube video in the instructions before you start the project. Send me the link of your project after you are done. :-) Cheers!
Students' projects: Seth's project, Michelle's project, Hannah's project, Liam's project,
2. Using GeoGebra to Draw Slope Field and Solve ODE pdf instructions
Example: Project
Students' projects: Hannah's project, Michelle's project, Seth's project, Donovan's project, Liam's project, George's project
3. Using GeoGebra to graph parametric curves pdf instructions
Example: Project, Project 2, Project 3
Students' projects: Hannah's project, Michelle's project, Seth's project, Donovan's project, Liam's project, George's project
How to turn in your work (quiz, practice exam, and exam correction ) on Canvas?
For each individual assignment, please take pictures of your work and combine into a SINGLE pdf, then upload to Canvas. Please make sure the pictures(pdf) are readable orientation and in good order.
Ways to convert your pictures into a SINGLE pdf:
1. Use smartphone app such as pdf scanner, Genius Scan, CamScanner
2. Copy those pictures in word/ google docs, then convert to a SINGLE pdf
3. Use some website like https://imagetopdf.com/ to combine pictures into a SINGLE pdf
Thank you! If you have any questions, please email me. Cheers!
Homework assignments:
Go to Canvas and click the corresponding homework links.
You have unlimited attempts for the homework. So you can re-do some homework questions to get a perfect score. You can attempt each problem three times and then the system will generate a new but similar question as many times as necessary.
Down below is a sample homework solution. I strongly recommend that you review class notes and then work on your homework.
If you have trouble with a question, read the solution and follow the steps to work on that question. Save your work on scratch paper so you can study later to prepare for exams. Cheers!
When you have questions, come to ask me! Cheers! ^o^
Homework 1 (review of cal 1) Solution
Homework 2 (section 5.5) Solution
Homework 3 (section 6.1 - 6.2) Solution
Homework 4 (section 6.3 - 6.4) Solution
Homework 5 (section 6.5 - 7.1) Solution
Homework 6 (section 7.2 - 7.3) Solution
Homework 7 (section 7.4, 7.7, 7.8) Solution
Homework 8 (section 8.2 - 8.3) Solution
Homework 9 (section 8.4 - 8.5) Solution
Homework 10 (section 8.5 - 8.6) Solution More answers on last two problems
Homework 11 (section 9.1 - 9.2) Solution
Homework 12 (section 9.3 - 9.4) Solution
Homework 13 (section 10.1 - 10.3) Solution
Quiz solutions:
Quiz 1 solution Quiz 1-4 mistakes
Quiz 5 solution Quiz 5-7 mistakes
Practice exams and solutions: Exam scores
4. Practice final exam Solution
Exam Wrapper Exam formula sheet blank with answers
True of False exercises: Some students find T or F problems very challenging, because these problems require a deeper understanding of the concepts compared with computational problems. Here are some exercises from (Briggs & Cochran, Calculus: Early Transcendentals, Pearson, 2011, ISBN: 9780321570567)
Chapter 5 Integrals T or F Answer
Chapter 6 Applications of Integration T or F Answer
Chapter 7 Integration Techniques T or F Answer
Chapter 8 Sequences and Infinite Series T or F Answer
Chapter 9 Power Series T or F Answer
Chapter 10 Application of derivatives T or F Answer
Extra Exercises:
Please be aware that our section numbers differ from those in Opentax. This variation is due to the switch in our textbook to Openstax. To locate the corresponding section exercises in Openstax for practice, please refer to the following mapping.
Section number in Worksheets/videos Section number in OpenStax Suggested exercises
Review of Functions (pre-cal & cal 1) 1.1Review of Functions 15, 17, 19, 21, 29, 33, 39, 41, 53, 55
1.2Basic Classes of Functions 61, 67, 71, 81, 95, 97
1.3Trigonometric Functions 113, 115, 119, 123, 127, 129, 131, 139, 143,
145, 155, 159, 163, 169, 173, 181
1.4Inverse Functions 185, 189, 193, 197, 201, 205, 207, 211, 213, 217, 223
1.5Exponential and Logarithmic Functions 243, 251, 261, 265, 273, 279, 289, 301, 307
5.3 Fundamental Theorem of Calculus 1.3The Fundamental Theorem of Calculus 151, 155, 157, 167, 173, 185, 193, 195, 203
5.4 Working with integrals 1.4Integration Formulas and the Net Change Theorem 207, 208, 221, 227, 231, 249
1.6Integrals Involving Exponential and Logarithmic Functions 321, 323, 325, 331, 333, 335, 339, 341, 357, 365
1.7Integrals Resulting in Inverse Trigonometric Functions 395, 397, 400, 402, 407, 409, 411, 413,
419, 421, 427, 429
5.5 Substitution Rule 1.5Substitution 257, 267, 275, 279, 283, 285, 291, 295, 299, 302, 311
6.1 Velocity and net change
6.2 Area between curves 2.1Areas between Curves 9, 11, 13, 15, 23, 25, 31, 35, 37, 41, 47, 49, 51
6.3 Volume by slicing 2.2Determining Volumes by Slicing 65, 67, 71, 73, 79, 81, 85, 87, 93, 97, 101, 103, 107
6.4 Volume by shells 2.3Volumes of Revolution: Cylindrical Shells 119, 123, 125, 133, 135, 139, 147, 155, 160, 162
6.5 Length of curves 2.4Arc Length of a Curve and Surface Area 173, 177, 181, 187, 211
7.1 Integration by parts 3.1Integration by Parts 3, 17, 23, 25, 29, 35, 45, 47, 53, 55, 57, 59, 63, 65, 67
7.2 Trigonometric integrals 3.2Trigonometric Integrals 75, 76, 86, 89, 101, 105, 107, 109, 113, 119
7.3 Trigonometric substitutions 3.3Trigonometric Substitution 137, 141, 145, 147, 171, 175, 177
7.4 Partial Fractions 3.4Partial Fractions 191, 193, 197, 201, 205, 206, 207, 209, 215, 217, 219, 221, 228
7.7 Improper integrals 3.7Improper Integrals 349, 351, 353, 361, 363, 373, 381, 393, 397, 399
7.8 Introduction to differential equation 4.1Basics of Differential Equations 3, 7, 21, 23, 29, 33, 41, 49, 62
4.2Direction Fields and Numerical Methods 70-72, 77, 81, 83, 89-93
4.3Separable Equations 123, 126, 129, 131, 135, 139
8.2 Sequences 5.1Sequences 3, 7, 13, 17, 25, 27, 33, 35, 47, 49, 51, 53
8.3 Infinite Series 5.2Infinite Series 79, 81, 91, 93, 98, 99, 101, 103, 107, 109
8.4 The divergence & integral test 5.3The Divergence and Integral Tests 140, 141, 143, 149, 151, 153, 155, 157, 159, 162, 164
8.5 The ratio, root, and comparison tests 5.4Comparison Tests 195, 198, 199, 201, 205, 209, 213, 221, 233
5.6Ratio and Root Tests 321, 322, 323, 325, 329, 330, 335, 343, 349, 351, 359
8.6 Alternating series 5.5Alternating Series 253, 255, 257, 261, 265, 271, 273, 295, 297, 298
9.1 Approximating Functions with polynomials 6.1Power Series and Functions 9, 15, 19, 21, 23, 25, 29, 41, 42,
9.2 Properties of power series 6.2Properties of Power Series 65, 67, 71, 73, 87, 89, 91, 93, 97, 99
9.3 Taylor series 6.3Taylor and Maclaurin Series 117, 119, 143, 146, 149, 153, 156, 159, 163, 171, 173
9.4 Working with Taylor series 6.4Working with Taylor Series 202, 205, 207, 209, 211, 213, 215, 221-223, 227, 229
10.1 Parametric equations 7.1Parametric Equations 5, 7, 9, 11, 13, 15, 19, 29, 31, 33, 41, 55, 59
7.2Calculus of Parametric Curves 67, 69, 70, 72, 73, 75, 77, 81, 85, 91, 97, 99, 103, 105, 109, 111,
113, 117,
10.2 Polar coordinates 7.3Polar Coordinates 125-128, 136-139, 149, 151, 155, 157, 159, 163, 169, 173, 179
10.3 Calculus in polar coordinates 7.4Area and Arc Length in Polar Coordinates 191, 195, 199, 205, 207, 209, 213, 219, 221, 229, 231, 233, 239,
241, 249, 251
2020 Spring Class Recordings about the extra exercises:
Chapter 7 3/20/20 class recording Note
Chapter 8 3/27/20 class recording Note
Chapter 9 4/24/20 class recording Note
Exam seat
Acknowledgment: The examples in the worksheets are taken from the book (Briggs & Cochran, Calculus: Early Transcendentals, Pearson, 2011, ISBN: 9780321570567) and and Kiryl Tsishchanka's notes. The formula sheets are taken from Paul Dawkins' online math notes. If you find some useful online resources which may be beneficial to the whole class, please let me know. Thank you!!! :-)
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