Syllabus
AUBG, Math & Sci Dept, Fall 2010
MAT 104: Calculus 2
required for Math Major & Minor; GenEd in quantitative reasoning
prerequisites: MAT 103 Calculus 1
Alexander GANCHEV
, http://home.aubg.bg/faculty/aganchev/ ,
office 304 (BAC), phone: 480, office hours: T 17:30-18:30, W 9:30-10:30 & 12:00-13:00
tutor: Andria Esakia,
tutorials on Mondays & Wednesdays from 7:30 pm in rooms 001 or 002 BAC
MAT 104 W 2:15-3:30, F 12:30-1:45, room 002 BAC
Course description: The course aims to further develop and extend the methods and technique of Calculus I.
Expected Outcomes:
At the end of the course the student should:
· Become familiar with some applications of integration
· Become familiar with the general concept of inverse functions, exponential and logarithmic functions, inverse trigonometric functions, l’Hospital’s rule.
· Develop skills in standard techniques of integration
· Become familiar with parametric and polar curves
· Develop skills in dealing with infinite sequences and series, power series and representing functions as sums of power series.
The above is a list of technical math skills we want to develop but what is more important
We want to learn to think creatively, be able to attack a problem you have not seen before, develop tools for that, develop a mathematical model for a given “real life” situation. All the quantative reasoning learning outcomes apply, the most important one being “critical thinking”.
Prerequisites: MAT 103 (Calculus I) or equivalent
(limits and continuity, derivatives and curve sketching, integrals and applications to evaluating areas and volumes)
Textbook: J. Stewart, Calculus, 5th (or 3rd) edition,
(Brooks/Cole Publishing Company, Pacific Grove, 2003)
Assessment: Your grade will be formed by
short quizzes 30 points = 10 %
attendance/ oral exams 30 10 %
midterm 1 60 20 %
midterm 2 60 20 %
final exam 120 40 %
______
total 300 points = 100 %
The duration of a short quiz will be from 5 to 10 min and may consist of up to 10 problems. The duration of a midterm exams will be a full class period and may consist 6 or more problems (some will be routine but do expect also several nontrivial problems). The final will be comprehensive, i.e., over all the material covered by the course. Every class sessions I will ask for volunteers to do problems on the board (if there are no volunteers then I will just call some name from the class list) which could count to the oral exam credit and at the last weeks of class we will have oral exams sessions. There will be one makeups for the two midterm exam, and there will be no exceptions under any circumstances.
Percents/Grade Map:
D- > 45, D > 50, D+ > 55, C- > 60, C > 65, C+ > 70,
B- > 75, B > 80, B+ > 85, A- > 90, A > 95 %
Exam policies: During quizzes, exams and the final all that you will need and will be allowed to use is a pen/pencil and a notebook that I will give you (no textbooks, notes, calculators, mobile telephones or other electronic gadgets, sheets of paper etc., no sheets of paper flying around the room, etc.). I will assign seats before the exam, i.e., before the exam you may help me pull the tables apart and wait to be assigned a seat. You should work strictly by yourself – you should not communicate in any way with your classmates – violation of this will be considered cheating with all the ensuing consequences (see the AUBG documentation for the consequences of cheating). Cheating is not only talking to the person next to you (talking about anything: math, the problems, the weather, last nights party …) but also intentionally making your work available to others during the exam. One or two weeks after a midterm there will be a makeup for that exam. It will be scheduled on Tuesdays evening (7pm or later). This is your second chance. Under no circumstances will there be a third chance!
Attendance: Students are expected to attend classes regularly and should comply with the university attendance policies. I expect you to come to class prepared (having read the assigned text if there is such) and to show active participation during the lecture. A student missing, without good reason, more than three classes may be dropped from the class.
Assignments: Often I will assign sections from the textbook for you to read ahead and from time to time I will make reading quizzes to check if you have read the assigned part. I will also expect that on the average you spend about 6 hours per week (on top of the regular calculus classes) working on problems from the book (this is on the average – the need for this extra work is very individual). The best thing about the textbook is the huge number of exercises. In the chapters that we will cover there are about 2000 exercises. I will give a list of some of these as optional homework, i.e., I will not collect most of these optional homeworks (from time to time I will collect samples) but you are strongly encouraged to do as many as you can.
Office hours: If the “official” office hours are not convenient for you please contact me to arrange some other time. Don’t be afraid to come and ask. There are no stupid questions.
General advise: Don’t be surprised to find out that a math course in College is very different from your High School experience. At school one topic (say the quadratic equation) is studied for many weeks or even months – here we go much faster – if I say 5 or 10 times faster probably I won’t be exaggerating. The only way to manage with this pace is to work individually outside of class. If you are not a mathematical genius but want to be successful in the course probably you have to work at least 6 hours per week besides attending classes and actively participating in them. Let me repeat – at least! While on exams you work strictly by yourself I would encourage you to get together in small groups to work outside of class. The textbook and notes taken in class are not substitutes for one another – rather they should complement one another. If you understand well the concepts and practice enough the techniques then you will feel comfortable with any exam.
Disclaimer: This syllabus is subject to modification. The instructor will communicate with students on any changes. The distribution of weeks per chapter is only approximate.
tentative schedule:
# / day date / section1 / W 01.09 / 7.1-2
2 / F 03.09 / 7.3-4
3 / W 08.09 / 7.5-6
4 / F 10.09 / 7.7
5 / W 15.09 / 8.1-2
6 / F 17.09 / 8.3-4
7 / W 22.09 /
INDEPENDENCE DAY
8 / F 24.09 / 8.7-89 / W 29.09 / 9.1-2
10 / F 01.10 / 9.3-5
11 / W 06.10 / review
12 / F 08.10 / Mid Term 1
13 / W 13.10 / 11.1-2 /
14 / F 15.10 / 11.3-4 / withdrawal deadline
15 / W 20.10 / 11.5-6
16 / F 22.10 / 12.1-2
BREAK
17 / W 03.11 / 12.3-418 / F 05.11 / 12.5-6
19 / W 10.11 / 12.7-8
20 / F 12.11 / 12.9-10
21 / W 17.11 / 12.11-12
22 / F 19.11 / review
23 / W 24.11 / Mid Term 2
24 / F 26.11 / 10.1-2
25 / W 01.12 / 10.3-4 /
26 / F 03.12 / 10.5-6
27 / W 08.12 / STUDENT’S HOLIDAY
28 / F 10.12 / 10.7