Math 110.109, Calculus II (Phys Sci & Eng)

Spring 2012 Course Syllabus

http://www.mathematics.jhu.edu/brown/courses/s12/109.htm

 

Dr. Richard Brown

MWF 10:00am - 10:50am: Krieger 205

[email protected]

403 Krieger Hall

 

410-516-8179

 

Office Hours:

 

M

1:00-2:00 pm

by appt. other times

W

1:00-2:00 pm

 

TextVector 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

Level Sets

Plotting Surfaces

Product Rule for Limits

1-dim Limit idea

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

Param. Path Length

Implicit Fnc Thm (3-space)

 

 

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

The Differential

 

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

A Green's Thm Lemma

Green's Theorem Notes

Param. Surfaces Notes

Stokes/Gauss Notes

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