Course Information:
Location: S 161
Time: MTR 2 pm – 3:07 pm
Instructor Contact Information:
Instructor: Prof. Yun Su (Suky)
Office Phone: 260-344-4913
Email Address: ysu@indianatech.edu (preferred contact)
Student Hours: MTR 3:15 pm - 4:45 pm, W 1:15 pm – 4:45 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 back 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-1
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 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 2 Limits AI edited Chapter 2 Limits
Chapter 3 Derivatives AI edited Chapter 3 Derivatives
Chapter 4 Application of Derivatives AI edited Chapter 4 Application of Derivatives
Chapter 5 Integrals AI edited Chapter 5 Integrals
In-class worksheets/Handouts:
Lecture Videos YouTube Playlist YouTube videos about Calculus
Link to all blank notes as Word document files
Algebra formula sheet, Trig formula sheet, Trig graph, Calculus formula sheet,
chapter 1 Review of function Notes with answers
chapter 2.1-2.3 limits law Notes with answers
chapter 2.4-2.6 infinite limits, continuity Notes with answers
chapter 3.1-3.3 derivative rule Notes with answers
chapter 3.4-3.6 trig derivative, app, chain rule Notes with answers
chapter 3.7-3.10 exp log inverse trig derivative, related rates Notes with answers
chapter 4.1-4.2 max and min Notes with answers
chapter 4.4-4.6 Optimization linear approx. MVT Notes with answers
chapter 4.7 L'hopital's rule Notes with answers
chapter 4.8-5.4 antiderivative, FTC Notes with answers
Riemann sum question: Riemann Sum + antiderivative exercise Answer
AI (Chat GPT) answers:
Extra Credit Projects:
1. Using GeoGebra to verify derivative as slope of tangent line. 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!
Example: Project 1, Project 2, Project 3, Project 4, Project 5,
Students' projects:
2. Using GeoGebra to approximate integral. pdf instructions
Example: Project 1, Project 2, Project 3
Students' projects:
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 (algebra review) Solution
Homework 2 (section 2.1-2.3) Solution
Homework 3 (section 2.4-2.6) Solution
Homework 4 (section 3.1) Solution
Homework 5 (section 3.2-3.3) Solution
Homework 6 (section 3.4-3.5) Solution
Homework 7 (section 3.6-3.7) Solution
Homework 8 (section 3.8) Solution
Homework 9 (section 3.9-3.10) Solution
Homework 10 (section 4.1-4.2) Solution
Homework 11 (section 4.4-4.5) Solution
Homework 12 (section 4.6-4.7) Solution
Homework 13 (section 4.8-5.2) Solution
Homework 14 (section 5.3-5.4) Solution
Quiz solutions:
Quiz 1 solution Quiz 1-4 mistakes
Quiz 2 solution
Quiz 3 solution
Quiz 4 solution
Quiz 5 solution Quiz 5-7 mistakes
Quiz 6 solution
Quiz 7 solution
Practice exams and solutions: Exam scores
1. Practice exam 1 Solution AI answers
Exam 1 solution
2. Practice exam 2 Solution AI answers
Exam 2 solution Derivative formula sheet blank Answer
3. Practice exam 3 Solution AI answers
Exam 3 solution
4. Practice final exam Solution AI answers
Anti-derivative formula sheet blank Answer New formula sheet Answer
More exercises on Related rate and Optimization problems. Do not need to turn in. You can review your notes and homework problems first, then try:
Application Related Rates Solution
Application Optimization Solution
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 3 Derivatives T or F Answer
Chapter 4 Application of derivatives T or F Answer
Chapter 5 Integrals 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 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
2.1-2.2 Definition of limits 2.1A Preview of Calculus 7, 13
2.2The Limit of a Function 30, 31, 35, 41, 43, 46-64, 77, 79
2.3 Techniques of Computing Limits 2.3The Limit Laws 84, 85, 90, 95, 97, 99, 101, 102, 105, 109, 111, 115, 117, 119, 121,
123, 125
2.4 Infinite Limits
2.5 Limits at infinity 4.6Limits at Infinity and Asymptotes 253, 259, 265, 267, 270, 277, 281, 282, 283,
2.6 Continuity 2.4Continuity 125, 137, 138, 139, 141, 143, 144, 147, 148, `49, 153, 154, 157,
3.1 Introducing the derivative 3.1Defining the Derivative 3, 5, 8, 9, 15, 19, 23, 26, 41, 43, 48, 51,
3.2The Derivative as a Function 59, 61, 63, 65, 67, 69, 73, 74, 77, 78, 79, 80,
3.2 Rules of differentiations 3.3Differentiation Rules 109, 111, 113, 115, 117, 119-121, 126-129, 131-132, 139, 141, 147
3.3 The product & quotient rule
3.4 Derivatives of Trigonometric function 3.5Derivatives of Trigonometric Functions 175, 177, 181, 183, 187, 189, 191, 192, 195, 198, 203, 213
3.5 Derivatives as rates of change 3.4Derivatives as Rates of Change 151, 155, 160, 163, 165,
3.6 The Chain Rule 3.6The Chain Rule 223, 224, 227, 231, 233, 235, 236, 237, 239, 241, 245-251, 255,
256, 257,
3.7 Implicit differentiation 3.8Implicit Differentiation 303, 305, 307, 313, 317, 321, 323,
1.3 Inverse, Exp & Log functions 1.4Inverse Functions 185, 189, 193, 197, 201, 205, 207, 211, 213, 217, 223
3.8 Derivatives of Log and Exp functions 3.7Derivatives of Inverse Functions 261, 265, 268, 271, 273, 275, 277, 281, 283, 287
3.9Derivatives of Exponential and Logarithmic Functions 333, 337, 341, 343, 344, 345, 347, 349, 353, 355,
3.9 Derivatives of Inverse Trig functions
3.10 Related rates 4.1Related Rates 3, 6, 9, 10, 14, 19, 22, 25, 29, 30, 31, 37, 39
4.1 Maxima & Minima 4.3Maxima and Minima 101-103, 109, 111, 113, 114, 115, 117, 119, 121, 123, 126, 127, 131, 133, 135, 139
4.2 What derivatives tell us 4.5Derivatives and the Shape of a Graph 202, 207, 210, 215, 221, 223, 227, 233, 237, 239,
4.4 Optimization Problems 4.7Applied Optimization Problems 316, 319, 322, 326, 343, 353,
4.5 Linear Approximation and Differentials 4.2Linear Approximations and Differentials 51, 55, 59, 61, 63, 69-71, 75, 83, 85,
4.6 Mean Value Theorem 4.4The Mean Value Theorem 155, 159, 163, 167, 173, 175, 177, 186, 189,
4.7 L’hopital’s rule 4.8L’Hôpital’s Rule 163, 371, 375, 378, 381, 390, 394, 395, 399, 401, 403, 405,
4.8 Antiderivatives 4.10Antiderivatives 473, 479, 485, 487, 495, 497, 501, 505, 508, 517,
5.1 Approximating Areas under curves 5.1Approximating Areas 13, 15, 23, 25, 41, 43,
5.2 Definite integrals 5.2The Definite Integral 67, 70, 71, 75, 79, 81, 111, 115,
5.3 Fundamental Theorem of Calculus 5.3The Fundamental Theorem of Calculus 151, 155, 157, 167, 173, 185, 193, 195, 203
5.4 Working with integrals 5.4Integration Formulas and the Net Change Theorem 207, 208, 221, 227, 231, 249
5.6Integrals Involving Exponential and Logarithmic Functions 321, 323, 325, 331, 333, 335, 339, 341, 357, 365
5.7Integrals Resulting in Inverse Trigonometric Functions 395, 397, 400, 402, 407, 409, 411, 413, 419, 421, 427, 429
5.5 Substitution Rule 5.5Substitution 257, 267, 275, 279, 283, 285, 291, 295, 299, 302, 311
2020 Spring Class Recordings about some extra exercises:
Chapter 3 3/20 office hour recording Notes
3/27 office hour recording Notes
4/3 office hours recording Notes
Chapter 4 4/10 office hours recording Notes
4/17 office hours recording Notes
Chapter 5 4/24 office hours recording Notes
5/1 office hours recording Notes
Desmos graphs:
epsilon/delta definition https://www.desmos.com/calculator/moaligi0dj
the squeeze theorem https://www.desmos.com/calculator/tqhlhnsgsr
instantaneous rate of change https://www.desmos.com/calculator/b7m9k2gdeg
Acknowledgement: The examples in the worksheets are taken from the book (Briggs & Cochran, Calculus: Early Transcendentals, Pearson, 2011, ISBN: 9780321570567) 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!!! :-)