Calculus I for Science and Engineering

Main objective in this course is that the student will understand the limit, the derivative, and the integral both conceptually and operationally. The student will learn how to use calculus concepts to model and solve various typical problems in science and engineering, with particular emphasis on graphs, optimization problems, and basic integration problems. The student will also learn to set up word problems clearly and concisely and to provide clear solutions. Emphasis will be on science and engineering applications.

Syllabus and General Information

  1. Course Syllabus
  2. Class Time and Place:
    • Section 30105 - Dawson Hall (1010), Room: 312, M 9:05-9:55, TR 9:30-10:45
    • Section 30298 - Boyd Graduate Research Center (1023), Room: 302, M 8:00-8:50, TR 8:00-9:15
  3. Office Hours: M 10:10-11:10, R 11:00-12:00, and/or by appointment.
  4. Course overview can be found here.

Announcements

  1. WebWork for online HMW assignments.
  2. eLearning Commons (eLC) for grades, etc.
  3. Free tutoring:
  4. Withdrawal Deadline is Oct 18th.
  5. Midterms will be in the regular classroom. Your practice problems are the HMW assignments. Final will be cumulative and a common exam.
  6. Matlab, Mathematica, and Maple are strong scientific software for symbolic or numeric computations. You can get a copy of them from UGA licensed software website. Students with some Mathematica experience may find this link useful.
  7. Math department study hall schedule that starts next Monday, August 29.
  8. If your first quiz grade is less than or equal to 6/10, you need to stop by my office during one of my office hours for a 5 min meeting this week (8/29).
  9. You can pick up your quizzes from my office during the office hours.
  10. Previous final exams can be found here: Fall 2014, Fall 2015, Spring 2014, Spring 2015, Spring 2016. You can use them as practise tests for your exam.
  11. You can get your graded quizzes from my office, during my office hours.
  12. Your homework grade for each homework set is the number of WebWork problems you answered correctly in that set. I will add them up, scale them to 100, and post your final homework grade to eLC at the end of the semester.
  13. If you like to play with puzzles, here is a mathematical one. It may be helpful for a better understanding of how a function and its derivative are related.
  14. The first midterm is on Monday, 10/3/16. There will be 5 or 6 problems in the test. It will be in the regular classroom. Your practice problems are the HMW assignments. You will not need a calculator. The test will be over Chapter 2 and Chapter 3. Waiting for the last office hour before the test to ask questions is not a good practise, as there may be more traffic and less time to answer yours.
  15. If it is not clear so far from your quizzes that correct answers alone does not help much without a through solution, please read the Written Work section in the Syllabus. That section explains how the quizzes and the tests are and will be graded.
  16. Step by step solutions to some related rates problems can be found here.
  17. Solutions to the first midterm problems are here. You can pick up your tests from my office during the office hours.
  18. If you want to earn additional 10 points on your current midterm grade, you can write down the midterm solutions clearly in your own words and explanations, and hand it in on Monday (17/10).
  19. The second midterm is on Monday, 11/7/16. There will be 5 or 6 problems in the test (no optional problems this time). It will be in the regular classroom. Your practice problems are the HMW assignments. You may need a calculator. The test will be over Chapter 4 and only Section 3.11 from Chapter 3. Waiting for the last office hour before the test to ask questions is not a good practise, as there may be more traffic and less time to answer yours.
  20. You can pick up your old quizzes and tests from my office during the office hours. The notes I put on them can be useful for you to see your mistakes.
  21. Final exam: 7:00pm-10:00pm, Thursday, December 8, 2016 (Building: 81, Room: 148). If you have any conflicts with other finals, you need to let me know as soon as possible.
  22. Here are some Calculus Applets. The website can be useful to enhance your understanding.
  23. If you already turned in the solutions for Midterm I, but cannot see 10 pts added to your midterm grade, that means your solutions were not complete. You can pick them up from my office during an office hour to modify them and return back to me to get credit.
  24. There are 5 old final exams posted above. If you solve them and turn in the solutions by 12/1/16, I can replace your lowest quiz grades by them. Each final exam grade will be replaced by one quiz. Note that each final exam will be graded out of 10 and no partial credits will be possible. That means, you need to solve all problems correctly to get credit.
  25. If you did not get credit for your midterm I solutions, you can pick up your work for revision. Please turn in your revised solutions on 11/17/16 during my office hour.
  26. Your presentations will start this Thursday, 11/17. Think yourself as a teacher and be prepared to present your solution to each problem in about 3 minutes.
  27. Solutions for the previous finals must be very well-organized, neatly written, legible, and mathematically well expressed. Think yourself as a math textbook writer and consider your solutions as examples in your book. Scratch papers will not be evaluated!
  28. It is your turn now to evaluate the course. The evaluation website will be open from today, November 14, 2016 until Tuesday, December 6, 2016 at 11:59pm. Please note that I value your feedback and take your comments seriously.
  29. Some important review notes for the final exam is here.
  30. Due date for the last WebWork HMW set is extended.
  31. Solutions to the second midterm problems are here. You can pick up your tests from my office during the office hours. If you want to earn additional 10 points on your current midterm grade, you can write down the midterm solutions clearly in your own words and explanations, and hand it in on Monday (12/05). Solutions must be very well-organized, neatly written, legible, and mathematically well expressed. Think yourself as a math textbook writer and consider your solutions as examples in your book. Scratch papers will not be evaluated!
  32. The deadlines for both old final exam solutions to replace your lowest quiz scores and for solutions of the second midterm are extended to Monday, 12/05/16.
  33. You can either go by the old quiz policy (two lowest quizzes will be dropped) or the new one (five of them replaced by the old final exam grades), not both!
  34. The last quiz on Thursday (12/01) will be over Sections 5.4, 5.5, 5.6.
  35. About the old final exams assignment: If you turn in solutions for 3 old final exams, for example, I will check your solutions. Say, you have two of them complete, that is, all problems are solved completely and correctly, then I will replace two lowest quizzes by 10. If the third one has an incorrect solution, you will not get any credit for that final, and your third quiz grade will stay as is.
  36. The deadlines for WebWork Course Review 1 and 2 are extended to 12/07/16.
  37. Final exam: 7:00pm-10:00pm, Thursday, December 8, 2016 (Building: 81, Room: 148). Here is an interactive map for the UGA Buildings.
  38. The deadline for the course review excercises on WebWork is extended to 12/08/16, 07:00pm.
  39. Good luck with the final and in all that comes your way in the future.
  40. Your final grades are posted. Happy holidays!.. 

Assignments

You will find some problems listed below be very similar to your weekly WebWork assignments.

  1. HMW 1
    • 2.1 Exercises: 1, 3, 9, 10, 13, 15, 16, 19, and (p.112) 4, 5, 6
    • 2.2 Exercises: 1, 2, 3, 5, 9, 12, 17, 21, 23, 28, 29, 30, 38, 45, 53, 64, 65, 81
  2. HMW 2
    • 2.4 Exercises: 1, 2, 7, 10, 12, 17, 19, 20, 21, 23, 25, 27, 36, 39, 45, 46
    • 2.5 Exercises: 1-10, 11, 12, 13, 19, 25, 39, 40, 43, 54, 55, 66
    • 2.6 Exercises: 1, 13, 17, 37, 39, 45, 49, 50, 53, 54, 55, 59, 67, 69, 72, 73, 74, 81, 86, and (p. 112) 14, 21
  3. HMW 3
    • 3.1 Exercises: 1, 5, 7, 11, 13, 18, 25, 29-32
    • 3.2 Exercises: 1, 3, 6, 7, 9, 10, 13, 17, 27-31, 37, 45, 47, 53, 54
  4. HMW 4
    • 3.3 Exercises: 1, 3, 5, 7, 11, 15, 17, 21, 30, 31, 32, 37, 39, 45, 51, 53, 55, 56, 59, 72, 76, 77
    • 3.4 Exercises: 1, 5, 7, 10, 11, 15, 17, 18, 21, 23, 28, 31, and (p. 212) 8
  5. HMW 5
    • 3.5 Exercises: 1, 9, 12, 13, 15, 16, 19, 22, 26, 33, 35, 43, 45, 57
    • 3.6 Exercises: 1, 3, 5, 9, 11, 15, 17, 19, 27, 31, 35, 43, 47, 49, 52, 53, 61, 63, 65, 71, 83, 87, 97, 103, and (p. 212) 17, 18
    • 3.7 Exercises: 1, 5, 15, 19, 21, 27, 41, 46, 49, and (p. 212) 6
  6. HMW 6
    • 3.8 Exercises: 3, 11, 13, 21, 25, 27, 29, 32, 41, 51, 57, 61, 63, 65, 91, 93, 95, 98
    • 3.9 Exercises: 1, 3, 7, 21, 23, 30, 33, 34, 42, 43, 50
  7. HMW 7
    • 3.10 Exercises: 1, 2, 13, 15, 17, 19, 20, 21, 23-25, 27-29, 32, 33, 35, 39, 40
    • 3.11 Exercises: 3, 8, 11, 15, 16, 39, 43, 45, 53, 54, 58, 61, 64, 66
    • 4.1 Exercises: 1-14, 21, 23, 25, 27, 31, 33, 35, 37, 39, 53, 55, 57, 63, 65, 69, 75, 80, 81, 84, 86
  8. HMW 8
    • 4.2 Exercises: 9, 10, 11, 15, 18, 19, 21, 25, 29, 31, 33, 37, 41, 45, 47, 51, 52, 69, 76a
  9. HMW 9
    • 4.3 Exercises: 1, 3, 5, 11, 19, 23, 27, 33, 37, 43, 63, 67, 69, 80
    • 4.4 Exercises: 1, 3, 11, 17, 19, 23, 33, 49, 53, 71, 77, 105, 111, and (p. 277) 55, 57, 59
  10. HMW 10
    • 4.5 Exercises: 3, 5, 9, 15, 19, 21, 23, 25, 51, 55, 57, 75, 77
    • 4.6 Exercises: 1, 3, 4, 5, 7, 11, 12, 14, 20, 22, 23, 24, 25, 27, 38, 39, 49, 52, 57, and (p. 280) 13, 15, 17, 35
  11. HMW 11
    • 4.7 Exercises: 1, 3, 13, 16, and (p. 280) 22
    • 4.8 Exercises: 1, 5, 7, 13, 15, 19, 23, 31, 33, 39, 43, 45, 55, 59, 61, 65, 89, 91, 93, 97, 105, 119, 120, 121, 122
  12. HMW 12
    • 5.1 Exercises: 1, 3, 5, 7, 11, 19, 21, 22
    • 5.2 Exercises: 1, 3, 7, 9, 13, 15, 19, 29, 35, 39
  13. HMW 13
    • 5.3 Exercises: 1, 3, 5, 9, 11, 13, 17, 19, 29, 33, 37, 55, 59, 71, 73, 74, 83, 85, 88, and (p. 345) 21, 22
  14. HMW 14
    • 5.4 Exercises: 1, 5, 7, 8, 9, 23, 29, 35, 39, 43, 45, 47, 51, 53, 55, 59, 65, 66, 67, 68, 72, 77, and (p. 344) 4, 5, 6, 25, 26, 33
    • 5.5 Exercises: 7, 9, 11, 13, 17, 19, 21, 24, 31, 51, 55, 61, 63, 73
  15. HMW 15
    • 5.6 Exercises: 1, 3, 7, 13, 25, 27, 31, 39, 47, 51, 53, 55, 67, 77, 81, 85, 89, 99, 103, 115, 116

Tentative Daily Schedule

H - homework assignment, Q - quiz, M - midterm, R - review, P - practice problems.

  Monday Tuesday Wednesday Thursday Friday
Week 1 8/8: 8/9: 8/10: 8/11: Syllabus, Ch 1 8/12:
Week 2 8/15: Sec 2.1 8/16: Sec 2.2 8/17: 8/18: Sec 2.2, Sec 2.4, Q1 8/19:
Week 3 8/22: Sec 2.4, Sec 2.5 8/23: Sec 2.5, Sec 2.6 8/24: 8/25: Sec 2.6, H1, Q2 8/26:
Week 4 8/29: Sec 3.1 8/30: Sec 3.2, Sec 3.3 8/31: 9/1: Sec 3.3, H2, Q3 9/2:
Week 5 9/5: Labor Day 9/6: Sec 3.3, Sec 3.4 9/7: 9/8: Sec 3.4, H3, Q4 9/9:
Week 6 9/12: Sec 3.5 9/13: Sec 3.6 9/14: 9/15: Sec 3.6, Sec 3.7, H4, Q5 9/16:
Week 7 9/19: Sec 3.8 9/20: Sec 3.8, Sec 3.9 9/21: 9/22: Sec 3.9, Sec 3.10, H5, Q6 9/23:
Week 8 9/26: Sec 3.10 9/27: Sec 3.11, Sec 4.1 9/28: 9/29: Sec 4.1, H6, Q7 9/30:
Week 9 10/3: M1 10/4: Sec 4.2 10/5: 10/6: Sec 4.2, Sec 4.3, H7 10/7:
Week 10 10/10: Sec 4.4 10/11: Sec 4.4 10/12: 10/13: Sec 4.4, Sec 4.5, H8, Q8 10/14:
Week 11 10/17: Sec 4.5 10/18: Sec 4.6, Withdrawal Deadline 10/19: 10/20: Sec 4.6, Sec 4.7, H9, Q9 10/21:
Week 12 10/24: Sec 4.7 10/25: Sec 4.8 10/26: 10/27: Sec 4.8, H10, Q10 10/28:
Week 13 10/31: Sec 5.1 11/1: Sec 5.2 11/2: 11/3: Sec 5.3, H11, Q11 11/4:
Week 14 11/7: M2 11/8: Sec 5.3 11/9: 11/10: Sec 5.4, H12 11/11:
Week 15 11/14: Sec 5.4 11/15: Sec 5.5 11/16: 11/17: Sec 5.5, H13 11/18:
Week 16 11/21: No class 11/22: No class 11/23: 11/24: No class 11/25:
Week 17 11/28: Sec 5.6 11/29: Sec 5.6 11/30: 12/1: P, H14, Q12 12/2:
Week 18 12/5: Review 12/6: Reading Day, H15 12/7: 12/8: Final (7:00pm-10:00pm) 12/9: