MATH 1020, CALCULUS II

Sections 5-8


Instructor: Gregor Kovacic
Office: Amos Eaton 419
Phone: 276-6908
Office hours: Click here.
E-mail: kovacg at rpi dot edu

Teaching Assistant: Simeng Chen
Office: Amos Eaton 432
Office hours: Monday, 1:30-3:00 PM, Thursday, 1:30-3:00 PM
E-mail: chens13 at rpi dot edu

Lectures: Tuesday, Wednesday, Friday, 3:00-3:50 PM, Ricketts 203
Tests and Quizzes: Wednesday 1:00-1:50 PM, Amos Eaton 214
Recitations: Section 5: Monday, 10:00-10:50 AM, Low 4040
Section 6: Thursday, 10:00-10:50 AM, Johnsson 3207
Section 7: Monday, 12:00-12:50 PM, Low 3112
Section 8: Thursday, 12:00-12:50 PM, Low 3112
Text: Thomas' Calculus: Early Transcendentals, 12th edition.


Course Outline

The following table gives the sections that we will cover, and roughly the week these sections will be covered. The sections with numbers in parentheses will only be covered if time permits. Suggested problems are also listed.

Dates
Sections
Suggested Homework
August 29 - September 2
5.4, 5.5, 6.3,
5.4: 5, 7, 9, 14, 15, 23, 24, 30, 31, 32, 39, 42, 43, 48, 51, 58, 61; 5.5: 3, 4, 6, 8, 10, 11, 13, 19, 21, 26, 29, 38, 42, 46, 49, 52, 54, 55, 60, 70, 77, 79; 6.3: 1, 5, 7, 10, 12, 15, 16, 22
September 5-9 (no classes September 5)
6.4, 6.5, 6.6,
6.4: 9, 11, 14, 15, 18, 20, 21, 23, 32; 6.5: 2, 4, 6, 8, 10; 6.6: 1, 3, 4, 7, 10, 12, 14, 16
September 12-16
8.1, 8.2, 7.3
8.1: 1, 4, 6, 8, 10, 11, 12, 19, 22, 26, 29, 32, 34, 39, 46, 64; 8.2: 2, 4, 8, 19, 22, 24, 26, 29, 53, 57; 7.3: 5, 7, 9, 12, 14, 17, 21, 25, 30, 43, 49, 57, 67, 70
September 19-23
8.3, 8.4, 8.7
8.3: 4, 6, 8, 15, 16, 19, 20, 28, 30, 42; 8.4: 1, 3, 4, 7, 9, 10, 12, 16, 18, 20, 21, 27, 39, 42, 44, 47; 8.7: 2, 4, 6, 12, 16, 20, 23, 25, 28, 37, 40, 41, 56, 61
September 26-30
10.1, 10.2, 10.3
10.1: 7, 11, 14, 16, 19, 23, 25, 28, 30, 32, 37, 41, 43, 46, 49, 50, 54, 56, 59, 60, 63, 70, 75, 77, 87, 92, 94, 98; 10.2: 2, 3, 4, 6, 12, 14, 16, 18, 24, 30, 32, 33, 37, 40, 45, 47, 52, 53, 54, 60, 61, 62, 68, 72, 77, 78; 10.3: 3, 4, 5, 6, 8, 16, 19, 27, 28, 32, 34, 35, 55
October 3-7
10.4, 10.5, 10.6
10.4: 2, 5, 6, 8, 10, 12, 13, 14, 16, 18, 19, 21, 22, 25, 27, 28, 42, 45, 52; 10.5: 4, 5, 7, 8, 10, 11, 14, 17, 18, 20, 22, 27, 32, 35, 38, 48, 50, 56; 10.6: 3, 4, 6, 8, 12, 14, 15, 17, 22, 25, 26, 30, 34, 36, 41, 49, 54
October 10-14 (no class October 11)
10.7, 10.8, 10.9
10.7: 1, 4, 7, 9, 14, 16, 17, 23, 24, 27, 31, 36, 39, 42, 46, 51, 52, 56; 10.8: 1, 4, 5, 7, 10, 12, 14, 16, 18, 19, 24, 27, 29, 31, 33, 35, 36, 42, 43; 10.9: 2, 5, 9, 12, 16, 22, 23, 28, 29, 30, 33
October 17-21
10.10, 11.1, 11.2
10.10: 1, 2, 5, 7, 10, 29, 32, 37, 38, 40, 59, 60, 61, 65, 67, 68, 70; 11.1: 2, 4, 6, 8, 9, 11, 12, 14, 16, 18, 20, 22, 23, 26, 27, 29; 11.2: 1, 3, 5, 7, 9, 11, 14, 21, 22, 25, 27, 29, 32, 47
October 24-28
11.3, 11.4, 11.5
11.3: 1, 3, 6, 7, 8, 11, 13, 14, 15, 19, 21, 23, 25, 27, 28, 30, 32, 34, 36, 38, 40, 42, 53, 55, 57, 59, 61, 63, 66; 11.4: 1, 3, 5, 7, 9, 11, 13, 15, 19, 27, 28; 11.5: 2, 3, 4, 5, 7, 10, 12, 14, 16, 21, 23, 24, 26, 28
October 31 - November 4
11.6, 12.1
11.6: 2, 4, 5, 6, 7, 8, 10, 12, 14, 16, 17, 19, 21, 23, 26, 28, 29, 32, 33, 36, 38, 40, 42, 44, 46, 50, 54, 57, 59, 65, 68; 12.1: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66
November 7-11
12.2, 12.3
12.2: 2, 4, 5, 8, 10, 12, 14, 16, 17, 19, 22, 24, 26, 29, 32, 34, 36, 39, 42, 43, 46, 49; 12.3: 2, 4, 6, 8, 10, 12, 13, 33, 37, 41, 42
November 14-18
12.4, 12.5, 12.6
12.4: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 36, 38, 42, 45, 47; 12.5: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 21, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 54, 56, 58, 60, 62, 66, 67, 70; 12.6: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44
November 21-25 (no classes November 23-25)
13.1
13.1: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
November 28 - December 2
13.2, 13.3
13.2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24; 13.3: 2, 4, 6, 8, 10, 12, 14, 15, 16
December 5-9
14.1, 14.3
14.1: 2, 4, 6, 8, 10, 12, 14, 16, 18a c, 20a c, 22a c, 24a c, 31, 33, 35, 38, 40, 42, 44, 48, 50, 52, 54, 56, 58, 60, 62, 64; 14.3: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 42, 44, 46, 48, 50, 52, 54, 56, 74, 76, 82, 84, 90;
December 12-16
Finals

I strongly recommend that you work through all of the above suggested homework problems, and perhaps even some other, similar problems in the book. This is because mathematics is a skill acquired through practice, similar to playing an instrument or a sport. The only mathematics you will ever really master is the mathematics you will do yourself. Passive ability to understand lectures and recitations alone is no guarantee that you will be able to solve problems on the quizzes and/or exams.

Working on the suggested homework problems in groups or at least checking your solution methods with other students is highly recommended. While most of the problems are standard, they sometimes do require generating an idea, and this is always easier in a group.


Attendance Policy

There is no requirement to attend either class or recitations. This said, however, long-time experience shows that students who do not attend class and/or recitations usually do poorly in the course. Neither the instructor nor the teaching assistant are in any way responsible for briefing students who missed class on the missed material and/or announcements.


Calculus Skills Quizzes

An important goal of Rensselaer Calculus courses is to develop proficiency in basic computational skills relating to Calculus. To develop these skills, we have prepared a five sets of Calculus Skills Problems for you to practice on. Very similar problems will appear on skills quizzes throughout the semester, given during the test period. All of these problems will be graded with no partial credit, constituting approximately 20-25% of the course grade as detailed below. No aids of any kind are allowed at the quizzes.

Tentative schedule of the quizzes and topics:

Date
Topic
September 7
Review of Calculus I Integrals
September 14
Integration by Parts
September 21
Trigonometric Integrals
September 28
Partial Fractions
October 12
Cumulative
October 26
Taylor Polynomials
November 2
Polar Coordinates
November 16
Dot Product
November 30
Cross Product

The topics in this table correspond exactly to the titles of the practice problems sections in the Calculus Skills Problems list. You should practice on the problems with the same title as in the table before the scheduled quiz each week.

Cumulative quizzes test all the Calculus Skills learned up to that date.

The lowest quiz grade will be dropped automatically.

Only students with notes from the Student Experience Office, (4226 Academy Hall, x8022) will be allowed to take makeup quizzes.


Exams

There will be three 50-minutes-long exams during the test period, given most probably during the weeks listed, and a mandadtory three-hour final exam during the finals week.

Exam 1 During the test session, Wednesday, October 5
Exam 2 During the test session, Wednesday, November 9
Exam 3 During the test session, Wednesday, December 7
Final Exam TBA, during the finals week.

There will be 20% of skills-type problems on the final exam.

You are allowed one handwritten sheet (8.5 by 11 inches) of notes for each exam and the final. No other materials (books, notes) or electronic aids (calculators, cell phones, laptops, i-pods, i-pads, blackberries, strawberries, etc.) will be allowed.

Only students with notes from the Student Experience Office, (4226 Academy Hall, x8022) will be allowed to take makeup exams.


Academic Integrity

Student-teacher relationships are built on trust. Acts which violate this trust undermine the educational process. The Rensselaer Handbook of Student Rights and Responsibilities defines various forms of Academic Dishonesty and you should make yourself familiar with these. Students are encouraged to work together outside of class on homework and on study question.

All work submitted in a quiz or exam must be your own. Collaborating on a quiz or exam is not permitted. Such academic dishonesty will result in that quiz or exam earning a grade of zero and a report to the Dean of Students. Repeat offenders will fail the class.

Any student who submits a changed answer of a quiz or exam for re-grading will have violated academic integrity. The uniform penalty over all sections will be failure in the course. If a student submits an appeal, he or she is responsible, regardless of whether he or she "knew" the answer had been changed. Note that graded material is scanned and recorded before it is returned.


Grades

The following grading rules will be used: Each of the three exams will constitute 25% of your pre-final grade. The quizzes will constitute 25% of your pre-final grade.

The percentages for grade cutoffs will be no stricter than

AA-B+BB-C+CC- D+DF
92-10090-9287-8982-8680-8277-79 72-7670-7267-6960-66< 60

and may end up being looser, but I won't know where exactly they will be until the very end.

At any given moment, you can compute your current grade as follows: Drop the lowest quiz grade, add the points you got for your remaining quizzes, and divide by the maximal possible number of points on those quizzes, which equals the number of problems on that quiz. This will give you your total quiz percentage so far. Then take the percentages on your exams so far. The exam average counts 75%, the quizzes 25%. Compare with the above table. This is the worst your grade can have at that time.

The final exam will count for 40% of your total grade if you do better than on the three exams, and 20% if you do worse. The rest will be your pre-final grade as computed above.

Grades should first be appealed to the instructor. All appeals of exams and quizzes must be made within one week of the return date to the class. End of the semester appeals for earlier exams will be ignored. Appeals should be made in writing to the instructor, with a signed and dated note on the exam or quiz. The instructor may deny (with explanation) obviously flawed appeals or grant appeals that are clearly correct and fall within the specifications in the grading policy. Any further appeals should be directed through the office of the department head.


Tutoring

If you have serious problems when trying to solve the suggested homework, you should seek tutoring from the Advising and Learning Assistance Center.


Calculus Help Page

Calculus Help Page with useful links is available.


Video Clips

Video clips containing short lectures and problem sessions delivered by Prof. Schmidt.


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