Math 109, Calculus II (Math, Phys. Sci., and Eng.), Fall 2016
Instructor: Xudong Zheng
Office: 313 Krieger Hall
Email: xzheng@math.jhu.edu
Tel: +1-(410)-516-0156
Lectures: MWF 10:00 - 10:50 Mergenthaler 111, 11:00 - 11:50 Remsen 101
Office Hours: 9 - 10 am on Mondays and Wednesdays
Textbook: Single Variable Calculus: Early Transcendentals, 8th Ed. James Stewart
Syllabus: pdf.
Announcements:
- Dec. 14. The total weighted grades will be available in Blackboard and the letter grades will be available in SIS, both at 12 pm, December 15. Below is how the letter grades are designated.
A+: score of 90 (inclusive) and above
A: 83.8 to 90 (top 35% of the class)
A-: 80 to 83.8 (top 50% of the class)
B+: 75 to 80
B: 70 to 75
B-: 65 to 70 (top 85% of the class)
C+: 60 to 65
C: 55 to 60
C-: 50 to 55 (top 94.5% of the class)
D: 45 to 50
F: below 45
TA sections:
- Zehua Zhao T 1:30 - 2:20 (zzhao25@math.jhu.edu) Maryland 30
- Zehua Zhao T 3 - 3:50 (zzhao25@math.jhu.edu) Mergenthaler 111
- Yi (Ethan) Lee Th 3 - 3:50 (ylee157@jhu.edu) Olin 305
- Daniel Fuentes-Keuthan Th 1:30 - 2:20 (dfuente6@math.jhu.edu) Olin 305
- Caroline Van Blargan T 3 - 3:50 (cvanbla1@jhu.edu) Mayrland 104
- Caroline Van Blargan T 1:30 - 2:20 (cvanbla1@jhu.edu) Olin 305
- Daniel Fuentes-Keuthan Th 3 - 3:50 (dfuente6@math.jhu.edu) Mudd 26
- Aurel Malapani-Scala Th 4:30 - 5:20 (amalapa1@jhu.edu) Maryland 114
- Alex Grounds Th 3 - 3:50 (aground1@math.jhu.edu) Maryland 104
Brief description: The goal of MATH 109 is to continue the study of calculus on the real line, which you started in Calculus I, with a focus on integration, the basics of differential equations, as well as sequences and series.
This course covers chapters 7, 9-11 in the textbook.
This course consists of three fifty-minute lectures (each Monday, Wednesday, and Friday) and a fourth hour of discussion/problem recitation each week. In addition, your instructor and TA will be available during their office hours. In order to successfully complete the course, your active involvement in learning is essential. Therefore, a serious commitment on your part to attend both the lectures and the discussion/problem sessions is a basic requirement of that. The lectures will be conducted as if you have already read the material and attempted some homework problems. Homework problems will be selected entirely from the textbook, but it is not absolutely essential to have the 8th edition since I will post the problem sets as pdf files below. Presumably one can purchase an older edition of the book at a fraction of the price with basically the same study outcome.
Grade Policy: There will be weekly homework sets (20%), 2 in-lecture exams (40%) and a final (40%). There will be NO make-ups on exams. For late homework, it generally will be up to your TA depending on the excuses.
Lecture Notes: Hand-written notes will be posted here after each lecture.
Handouts:
Homework: Homework based on the week’s lectures will be posted on the course website sometime prior to the week. That assignment will be due in recitation sections of the following week. There will be 10 homework sets for the semester. You are encouraged to do your homework in groups. You are required, however, to write up your homework on your own. You are welcome to print the homework sheet and attach it to your writings. The goal of these written problems is to help you learn how to write mathematics as you will need to do on the midterms and final exam. Solutions to the written homework will be posted online along with grading rubrics for the problems. There will be five problems from each homework set to be graded. The grades reflect both your analytical and reasoning skills on the graded problems and the completeness of the entire set.
- How to write up homework solutions. Please see here and here for some examples from Professor Richard Brown's page.
- Aesthetics.
- Always staple your homework in order.
- Assure your full name recognizable on the first page.
- Cut or tear along the perforations of your spiral or ring binded nootbook.
- Homework 1 (due Sep 13 or 15, in recitation.) Key and Rubric
- Homework 2 (due Sep 20 or 22, in recitation.) Key and Rubric
- Homework 3 (due Sep 27 or 29, in recitation.) Key and Rubric
- Homework 4 (due Oct 11 or 13, in recitation.) Key and Rubric
- Homework 5 (due Oct 18 or 20, in Tuesday's recitation or Thursday's lecture.) Key and Rubric
- Homework 6 (due Oct 25 or 27, in recitation.) Key and Rubric
- Homework 7 (due Nov 1 or 3, in recitation.) Key and Rubric
- Homework 8 (due Nov 15 or 17, in recitation.)Key and Rubric
- Homework 9 (due Nov 29 or Dec 1, in recitation.)Key and Rubric
- Homework 10 (due Dec 6 or 8, in recitation.)Key and Rubric
PILOT Learning: A peer-led team learning program that supports our students in the gateway science courses. PILOT Learning has been supporting students at JHU since 2008 and 97% of students would recommend PILOT to others. Students enrolled in PILOT are placed into groups of classmates and lead by a peer leader who has taken the course before and received an A or better. Each PILOT group meets for 2 hours per week for the entire semester to work on problem-sets that compliment homework problems and concepts that are taught in lecture. The peer leader (PILOT Leader) works as a facilitator who helps guide them through the problem but encourages conversations and collaborations from the group to spearhead the problem-solving.
Help Room: 213 Kreiger Hall. The hours are 9am - 9pm on Monday through Thursday, and 9am - 5pm on Friday. This free service is a very valuable way to get one-on-one help on the current material of a class from other students outside the course. It is staffed by graduate students and advanced undergraduates.
Other resources:
- WolframAlpha. A thorough online tool for computational and graphic tasks.
- MIT OpenCourseWare. The link here directs to the course "Single Variable Calculus", which together with subsequent courses there provide some comprehensive suppliments to us. Check out the videos of the lectures there.
Older announcements:
- Sep. 2. Welcome to Cal II Math 109. The notes for lecture 1 is available below. If you have any inquiries about newly adding in the course, switching section, or confirmation from the waitlist, please inform our Senior Academic Program Coordinator Sabrina Raymond (course@math.jhu.edu). If you are in the 11 am session, I apologize for not being able to finish what I have talked about in the 10 am one partly due to the abundance of questions. So please read the lecture notes below. But, I do like all of your questions. So please keep up the great work! Have a wonderful holiday weekend!
- Sep. 5. The course is now available in Blackboard. The second midterm is rescheduled to November 9th concerning the Verteran's Day. Erratum for Lecture note 1: in the middle of page 5, Eg. 3, starting with "Either way we end up with..." what I tried should be choice 2 instead of choice 1.
- Sep. 6. For those of you who would need special accommodations for exams the details regarding the exam as well as where students with special accommodations should go will be announced about a week before the test. It would be desirable if you could indicate in your email to me whether for the mid-terms the needed extra time could be right after the lecture time (since the usual test time will be the lecture time).
- Sep. 8. For those who are inquirying about switching sections and related questions, please read the announcement of Sep. 2 above. I would not be able to reply to your individual emails due to lack of authority.
- Sep. 9. HW 2 is available. All your TAs' office hours are set.
- Sep. 17. Newly enrolled students, please contact your TA directly concerning late homework 1 if you enrolled within the last week.
- Sep. 19. HW 3 and Key 1 are available.
- Sep. 25. HW 4 is available (due in two weeks after Mid-term 1, hence the workload doubled).
- Oct. 5. Mid-term 1 (Oct. 7) venues: Mattin Center 162 (9am - 1pm, special accommodation); Mergenthaler 111 (10 - 10:50, sections 1 and 2); Gilman 132 (10 - 10:50, section 4); Remsen 101 (11 - 11:50, sections 5, 6, 7); Krieger 205 (11 - 11:50, sections 8, 9, 10)
- Oct. 5. Typo in HW 4: in porblem 22, the expression of "x" should be "3cost - cos3t"; there is no multiple for cos3t.
- Oct. 5. Keys for HW 2 and 3 ara available.
- Oct. 8. In HW 4, Problems 22 and the instructions for 24 and 25 are updated. The integrals for 24 and 25 are too complicated to solve.
- Oct. 10. HW 5 is available.
- Oct. 13. The promised course survey is available in Blackboard. Once you log in the course, on the left panel column click "Course Content", there you can see the survey. Thank everyone for your participation. Your opinion is important to us.
- Oct. 17. HW 6 is available. If your section is on Thursday, you will be turning your HW 5 to me in lecture.
- Oct. 23. HW 7 and Key 4 are available.
- Oct. 31. HW 8 and Key 5 are available. HW 8 covers up to section 7 and at least half of the problems are useful for preparing for the exam.
- Nov. 2. In both lectures today I received the question about the necessity of the Alternating Series Test. The quick answer is no. Recall that for any series to converge, we have to require that the limit of the terms to be zero, so the assumption on the limit cannot be weakened. But we can have an alternating series whose associated positive series is not decreasing, but still converges. We can consider the series 1 - 1/2 + 1/4 - 1/3 + 1/6 - 1/5 + ... Note that its positive series is not decreasing. What I do here is just change the order of the terms in the alternating harmonic series.
- Nov. 3. Venues for Mid-term 2 on November 9 in lecture: Maryland 30 (special accommodation)
Mergenthaler 111 (10-10:50, sections 1 and 2)
Maryland 217 (10-10:50, section 4)
Remsen 101 (11-11:50, sections 5, 6, and 7)
Maryland 217 (11-11:50, section 8)
Maryland 109 (11-11:50, section 9)
Maryland 201 (11-11:50, section 10)
- Nov. 9. All the five problems in today's mid-term worth 20 points (the cover sheet was wrong, but the pages for the problems were correct). For those of you who missed the exam today, you probably have already sent me an email for the excuse. If not, please do so so that I would have a record. Hope everyone gets better and recover soon from your sickness or injuries! Suppose you miss both mid-terms, then your final will contributes 80 percent towards your total grade, covering the parts for the mid-terms. If you miss one of the two exams, then the missing one will also be covered weightedly by the other mid-term and the final. I post the previous two exams down here under "Handouts". The final exam will be maintained at roughly the same level of difficulty as these two mid-terms.
Also I am happy to talk to anyone who wants some thoughts about your study plan for the next semester or for the rest of this semester.
- Nov. 13. Homework 9 is available.
- Nov. 27. The final exam has been scheduled for Tuesday, December 13th from 9 am – 12 pm in Mergenthaler 111 and Remsen 101 (to be specified depending on your sections).
- Nov. 28. Homework 10 is available.
- Dec. 7. Correction (Wednesday lecture): Example 1, since x = tan^2(theta) so it can only be non-negative. So we have to eliminate the part to the left of the y-axis.
- Dec. 7. Please contact your TA for your HW 10. The keys and rubrics for HW 8 and 9 will appear here soon as the TA's are still writing them up.
- Dec. 11. The final exam has been scheduled for Tuesday, December 13th from 9 am – 12 pm in your usual classroom (Mergenthaler 111 and Remsen 101).
Students seeking for special accommodations will begin on Tuesday, December 13, 2016 at 8am in Shaffer 101, and finish at 12:30pm for those students with an allowance of 150%, and at 2pm for those with a 200% allowance.