110.105 - Introduction to Calculus, Section 1, Summer 2008

This page is for section 1 for Introduction to Calculus with Duncan Sinclair.

Info

Me (Your Instructor): Duncan Sinclair
My Email:
Course Webpage: http://www.math.jhu.edu/~sinclair/introcalcsummer08.html
Office: Krieger 200
Office Hours: Monday & Wednesday, 12-1pm
Section 1: MTWTh, 9-11:30, Krieger Hall, room 300
Course Description:
(Stolen from the University Course Guide) This course starts from scratch and provides students with all the background necessary for the study of calculus. It includes a review of algebra, trigonometry, exponential and logarithmic functions, coordinates and graphs. Each of these tools will be introduced in its cultural and historical context. The concept of the rate of change of a function will be introduced. Not open to students who have studied calculus in high school.

Announcements


Schedule

Date Sections Recommended Problems
Week 1
Monday, June 30th Chapter P, 1.1 Chap. P: (pp. 82-84) 34-41, 42-44, 46-50, 91-104, 114-116, 129-134, 138, 147, 148, 152. 1.1: (pp. 95-96) 9-12, 19-28, 29, 30, 33, 35, 36, 40.
Tuesday, July 1st 1.1-1.4 1.1: (p. 95-97) 55-72, 78, 79, 88, 89, 90.
1.2: (p. 106-110) 15-19, 29-33, 36.
1.3: (p. 120-124) 1-10, 11-18, 25-30, 33, 34, 38-40, 48, 50, 51, 55, 57(c), 58(b), 59-64, 77, 78, 98
1.4: (p. 134-137) 1-6, 13-16, 27-32, 41-46, 58-60, 63-70, 75, 76, 79, 80 (see note below)
Wednesday, July 2nd 1.6-1.7, 2.1 1.4: (pp. 135-136) 63, 64, 47-56. 1.6: (pp. 157-161) 1-8, 19-26, 31-36, 45-48, 61-64, 89, 90, 103, 104, 106. 1.7: (pp. 170) 1-20, 29-62, 67-70. 2.1: (pp.194-198) 11-16, 21-24, 41-48, 51, 52, 55, 56, 59-68, 69-72.
Thursday, July 3rd 2.1-2.3 2.1: (pp.194-198) 11-16, 25-36. 2.2: (pp.207-211) 1-32, 33-42, 47-54, 59-64, 67, 68. 2.3: (pp.224-226) 1-16, 17-19, 25-32, 35-38, 47-48, 72, 73, 76, 79-82, 83-90.
Week 2
Monday, July 7th 2.3-2.5 2.3: (pp. 224-227) 9-16, 20-24, 31-35, 39-50, 51-58, 93(h), 94 2.4: (pp. 235-237) 1-12, 21-28, 35-38, 41-46, 49-60, 61-70, 71-76, 85-86 2.5: (pp.248-251) 19-24, 25-34, 39-52 (especially 51 & 52), 53-60, 63-70, 71-74.
Tuesday, July 8th 2.6, 3.1-3.3 2.6: (pp.257-259) 1-4, 7, 9-13, 17-20, 49-52, 54. 3.1: (pp.276-280) 1-12, 13-16, 14, 20, 21-30, 33-44, 45-50, 57-60, 69-74, 75, 76. 3.2: (pp.290-292) 1-6, 31-34, 35-36, 42, 45, 51-55. 3.3: (pp.300-302) 1-6.
Wednesday, July 9th 3.3-3.6 3.3: (pp. 300-302) 11-14, 19-32, 39-44, 47, 57-71. 3.4 (pp. 312-315) 1-4, 11-18, 21-24, 27-29, 33-34, 35-36, 43-44, 49-52, 57-58, 61, 62. 3.5 (pp. 325-329) 1-8, 13-26, 27-32, 33-36, 37-40, 41-44, 53-72, 73-84.
Thursday, July 10th 3.6, 4.1 3.6: (pp. 341-343) Everything up to problem 90. Chapter 3 Review: (pp. 348-349) everything up to 114 except 19-22, 41-46. Chapter 2 Review: (pp. 262-264) everything up to 109 except 1-12, 63-66, 97, 98. Try the Chapter Tests to guage yourself. After you find your weak points, review the chapter review problems.
Week 3
Monday, July 14th
Tuesday, July 15th Midterm Exam Solutions
Wednesday, July 16th 4.1-4.4 4.1:(pp. 365-367) 1-12, 15-22, 25-22, 25-27, 31-38, 47-54. 4.2: (pp. 378-381) 1-8, 9-14, 25-36, 43-48, 53-58, 63-68, 73-80. 4.3: (pp. 392-395) 1-58. 4.4: (pp. 403-407) 1-14.
Thursday, July 17th 4.4, 5.1-5.3 4.4: (pp. 403-405) Everything up to 52, 59-67, 69. 5.1: (pp. 429-431) 1-4, 9-16, 23-28, 63-88, 91-94. 5.2: (pp. 443-445) 1-70, 81-94. 5.3: (pp.459-461) 1-77
Week 4
Monday, July 21st 5.3-5.6 5.4: (pp.475-477) 1-28, 45-92. 5.5: (pp. 485-487) 1-12, 17-28, 33-48, 65-80, 93-98. 5.6 (pp. 496-497) 1-32, 41-50.
Tuesday, July 22nd 6.1-6.4 6.1: (pp. 516-518) 1-104. 6.2: (pp. 524-525) 1-94. 6.3: (pp. 534-536) 1-98 6.4: (pp. 543-544) 1-78. A lot of the problems are computational. Once you get the hang of it, move on.
Wednesday, July 23rd 6.6, 7.1 6.6: [Please read the section] (pp. 567-569) 1-18, 31-54, 63-72. 7.1: (pp. 585-588) 1-26, 29-32. Remember: Quiz on problem 43 (p.588).
Thursday, July 24th 7.2-7.5 7.2: (pp. 596-600) 1-24, 57-58. 7.3: (pp. 611- 614) 1-46, 67-74. 7.4: (pp. 622-623) 1-46.
Week 5
Monday, July 28th 7.4, Review Review the following problems: 4.4: 23, 24, 45, 50, 59, 44, 60, 63, 68. 5.3: 70, 71, 73, 74. 5.4: 65, 80, 88, 91. 5.5: 66,68, 93, 94, 95, 99, 100, 103. 5.6:51, 59. 6.1: 89, 91, 93. 6.2: 55-94, 105, 106. 6.3: 45, 46, 65, 66, 85, 86, 95, 102. 6.4: 21, 22, 31, 33, 65, 66, 75, 79, 80, 83. 6.6: 40, 52, 68, 70, 72. 7.1: 22, 23, 26. 7.2: 12-14, 58, 59. 7.4: 26-28, 38-42, 75.
Tuesday, July 29th
Wednesday, July 30th
Thursday, July 31st Final Exam
Note: Do not attempt to do all of the problems. Many of the problems are very similar. Once you understand the process, move on to the next set.

Policies

Homework: Recommended problems will be posted every day but will not be collected. Students are encouraged to do as much of the recommended homework as they can, and should do at least as much as will allow thorough understanding of the material. The purpose of these problems is to reinforce understanding and to prepare for exams and quizzes. The problems will not be graded.

Quizzes: Quizzes will be given at the beginning of each lecture and will be based roughly on the recommended problems assigned during the previous lecture. The two lowest scores will be dropped.

Exams: Two exams will be given, a midterm and a final.

Grading: Final grades will be based on the following weights:
Other Policies:

Make-up exams will only be given for documented emergencies (i.e. medical emergencies, death in the family, etc). Any unexcused missed exam will be counted as zero. Travel or mishaps during travel will not be considered an emergency.

No make-up quizzes will be given. A missed quiz will be dropped as one of the two lowest scores.

Regrades must be requested the same class as the exam or quiz is returned.

All quizzes and exams are closed-book. No calculators or any other electronic aids are permitted.

Cheating is wrong. Cheating hurts our community by undermining academic integrity, creating mistrust, and fostering unfair competition. The university will punish cheaters with failure on an assignment, failure in a course, permanent transcript notation, suspension, and/or expulsion. Offenses may be reported to medical, law or other professional or graduate schools when a cheater applies. Violations can include cheating on exams, plagiarism, reuse of assignments without permission, improper use of the Internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery and falsification, lying, facilitating academic dishonesty, and unfair competition. Ignorance of these rules is not an excuse. For more information, see the guide on "Academic Ethics for Undergraduates" and the Ethics Board web site.

Any student with disabilities or other special needs that might require accommodation must inform me and the office of academic advising before the start of the course.


Advice

At present, I have a few pieces of advice. If you follow them, I can practically guarantee a good grade.

Please check my course reviews. This is an assessment of my effectiveness from your peers in past terms. Know what you're getting into.

This is a summer course and will be very high-intensity. Please be prepared to spend about two hours a day beyond the usual classtime to keep up.

Do as much of the homework as you can. There will be homework assigned, but I will not grade it. It is intended to reinforce understanding and to prepare you for exams and quizzes. If you choose to avoid doing the homework, this course will be very difficult. I will also spot-check the homework, and I may deduct points for paltry effort.

I highly recommend working in groups. It will be very difficult to learn all of the material by yourself, but you can find additional support amongst your peers. If you don't know anyone in the class, but are interested in joining a group of some sort, please let me know and I will find someone like-minded.

I recommend reading Dr. Zucker's comments on learning at a collegiate pace. If you want a good grade, read it. If you want to learn how to ace college and learn for the rest of your life, read it twice. In particular, if you are new to the environment of a university, this course may come as a bit of a shock. The pace will be much quicker than you may realize. Not only is the collegiate pace quicker, but this course is only five weeks with at least 4 classes in which we will not be covering new material. In short, each day will roughly correspond to a week of class during the fall and spring terms.


Links

  • JHU Mathematics Department
  • Course webpage
  • Wikipedia, a good resource for information
  • Mathworld, another good website