Math 110.109, Calculus II (Phys Sci & Eng)
Spring 2012 Course Syllabus
http://www.mathematics.jhu.edu/brown/courses/s12/109.htm
MWF 10:00am - 10:50am: Krieger 205 |
|||
403 Krieger Hall |
|
||
410-516-8179 |
|
||
Office Hours:
|
M |
1:00-2:00 pm |
by appt. other times |
W |
1:00-2:00 pm |
Text: Vector Calculus 4th Edition by Susan Jane Colley,
Course Material: The core of the course will center on the text material, and will basically cover the material detailed in the syllabus link below. I may add and/or slightly alter this material depending on how the semester plays out. But the core set of material that I will cover will be what is on the syllabus.
Grade Policy: There will be weekly homework sets (20%), 2 in-lecture exams (40%) and a final (40%). The schedule of these exams is given with the homework problems below. There will be no make-ups on homework or exams. If you miss an exam, you will have to be cleared by me to be excused from the exam, a process that will include documentation and a valid excuse. In this case the ultimate grade for that exam will be calculated based on your performance on future exams and the final.
Homework: Homework based on the week’s lectures will be posted as official on the course web site sometime on Wednesday (Homework may be posted earlier, but may change as the lectures evolve for the week). That assignment will be due in lecture the following Wednesday. See below for the due dates. You are encouraged to do your homework in groups. You are required, however, to write up your homework on your own. Homework is an essential educational part of the course. You will be graded mostly on your ability to work problems on exams. You cannot work problems on exams if you have not practiced the techniques within the homework problems. If you misuse homework by not doing it yourself, or not checking that you can solve a problem on your own after having been shown how to do it, then your exam scores and corresponding grade will reflect this. Talk to the section Teaching Assistant about how to turn in a homework if you cannot go to class.
Course Policy: You are responsible for lecture notes, any course material handed out, and attendance in class. While I will not formally record your attendance, I will get to know you and your rate of presence over time. The lectures will be conducted as if you have already read the material and attempted some homework problems. In this manner, you can focus mainly on those parts of the lectures that cover the areas of your reading you found difficult to understand. My teaching style is that of interactive discussion and I will rely on your input in developing the material. Active participation in the classroom is a great way to generate the discussion necessary to fully grasp the material.
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.
Ethics Statement: The strength of the university depends on academic and personal integrity. In this course,
you must be honest and truthful. 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.
In this course, as in many math courses, working in groups to study particular
problems and discuss theory is strongly encouraged. Your ability to talk
mathematics is of particular importance to your general understanding of
mathematics.
You should collaborate with other students in this course on the general construction
of homework assignment problems. However, you must write up the solutions
to these homework problems individually and separately. If there is any
question as to what this statement means, please see the professor or the
grader.
For more information, see the guide on "Academic Ethics for Undergraduates" and the Ethics Board web site (http://ethics.jhu.edu).
Students with Disabilities: Students with documented disabilities or other special needs that require accommodation must register with the Office of Academic Advising. After that, remind me of your needs at least 5 days prior to each exam; we will need to have received confirmation from Academic Advising.
Spring 2012 Tentative Schedule
The details of this material will be updated and reformed as the semester progresses.
Week |
Sections |
Homework |
Due in Lecture |
. |
|||
March 26 -- 30 |
2.1 Functions of Several Variables 2.2 Limits 2.3 Derivatives |
2,4,11,19,36,38,40,50 3,6,8,18,22,30,46,48,50,52 5,17 |
April 6 |
April 2 -- 6 |
2.3 Derivatives 2.4 Properties of Derivatives |
19,24,28,31,36,38,40,58,59 4,8,18,25,26,27,28,30 |
April 13 |
April 9 -- 13
|
2.5 Chain Rule 2.6 Directional Derivative/Gradient (Implicit/Inverse Fnc Thms) 3.1 Parameterized Curves (no Kepler)3.2 Arc Length (no geometry) 3.3 Vector Fields |
1,4,12,22 3,9,19,21,22,40,43
16,28,30,33 7,9,15 5,11,19,24 |
April 20 |
April 16 -- 20
|
3.4 Gradient, Divergence, Curl and Del 4.1 Differentials and Taylor's Theorem 4.2 Extrema of Functions 4.3 Lagrange Multipliers |
4,11,15,18,23,28 8,11,18,31 2,7,19,22,37,52 7,11,14,33 |
April 27 |
April 23 -- 27 |
5.1 Areas and Volumes 5.2 Double Integrals 5.3 Changing the Order of Integration 5.4 Triple Integrals 5.5 Change of Variables |
8,17,21,32,40 11,13,17 5,11,13,17 6,8,9,10,16 |
May 4 |
April 25 Solutions | Midterm Exam - Sections Covered from 2.1 to 4.3. Krieger Hall 204, 3pm - 4:14pm | ||
April 30 - May 4 |
6.1 Scalar and Vector Line Integrals 6.2 Green's Theorem 7.1 Parameterized Surfaces 7.2 Surface Integrals 7.3 Stokes' and Gauss' Theorems |
May 9 |
|
Reading Period |
8.1 An Introduction to Differential Forms 8.2 Manifolds and Integrals of k-forms 8.3 Generalized Stokes' Theorem |
|
|
|
|
|
|
May 10 |
Final Exam |
2:00pm - 5:00pm |