Calculus III - MATHV1201 - Spring 2012

Section 7, Tuesday Thursday 2:40pm - 3:55pm
Section 8, Tuesday Thursday 4:10pm - 5:25pm

Instructor: Fabio Louallen-Nironi


Email: nironi@math.columbia.edu
Office: Mathematics 415
Tel:  (212) 854 4354

Office hours:

   Tuesday and Thursday from 1:15pm to 2:40pm and by appointment

TA (section 7):

  Jie Xia (graduate ta)    xiajie@math.columbia.edu
  Sung-Hwi Hong           sh2873@columbia.edu
  Akshay Purohit            aup2001@columbia.edu
 

TA (section 8):



  Corrin Clarkson (graduate ta)    clarkson@math.columbia.edu
  Julio Herrera                               jeh2172@columbia.edu
  Jin Li                                            jl3459@columbia.edu

Textbook:

J.Stewart - Calculus, Early Transcendentals (Seventh edition), available in the university bookstore.

Overview of the course and Suggested Reading:

This is a third course in calculus. Calculus 3 is notriously an anomalous course since it doesn't really require calculus 2 and it covers a significant part of linear algebra. Even if calculus 2 is not officially a requirement I will assume that everyone knows how to calculate integrals. We can actually review some techniques of integration at the very beginning of the course or during recitation. For what concerns the linear algebra part, I will try to make this connection with "linear algebra" as explicit as possible.
I will try to provide adequate and exhaustive material, but I strongly recommend that you take notes in class and  I would also like to encourage independent research and reading. I will follow the textbook but not too faithfully; you will be held responsible for everything I teach in class and you can safely ignore all the material in the book that I ignore.

Recitations:

  In my opinion, the lack of recitations in the calculus series is the main reason why students struggle so much. The course is structured in a way that there is not enough time for practicing in class. For this reason I have decided to offer an unofficial recitation hour every week. This additional hour will be entirely used for practicing.  Recitation hours are not mandatory and do not substitute office hours, the purpose of the two things is different.

Recitation is  scheduled on Friday from 4pm to 5pm in room 203 (for both the 2 sections)

Prerequisites:

  Calculus I.

Grading:

Homework 20%; Best  Midterm  25%; the Midterm Not Necessarily as Good as the Best  15%; Final 40% 
Depending on the circumstances I might decide to evaluate extracredit assignments.
I pride myself of assigning many A+'s each semester (students must have at least an A+ on a midterm or the  final). The A+ grade is at my personal discretion and I assign it to people who have an impressive average (compared to the curve of the class) or who have shown outstanding improvements through the course.

Midterms:

There will be two midterm exams during class. Make-up exams will not be given unless a written excuse for missing the exam is provided from either a doctor in the case of illness or from a dean in other exceptional circumstances.

Midterm 1 :  Feb 14th (in class)
Midterm 2 : Apr 3rd (in class)

Final:

The final exam projected date is May 10-th from 1:10pm to 4:00pm for section 7; May 8-th from 4:10pm to 7:00pm for section 8. All students must take the final at the time scheduled by the university.

Homework:

There will be weekly written assignments which can be found on courseworks along with the due date. Problem sets can be dropped in my drop-box. The solutions will be posted on Courseworks. I have decided not to make use of Webassign.

 

Help room:

Mathematics 406. There is more information here.

Calculators:

Calculators are not needed for this course, and they will not be allowed in the exams.

Honesty:

Copying your written work from somebody else or from any other source is considered cheating and will be dealt with severely. Any cheating during midterms or finals will result in you failing the course and the matter being reported to your dean.





Old exams:

1st midterm (spring 2010)
2nd midterm (spring 2010)
Final (spring 2010)

Syllabus (might be subject to changes)


Date Reading Homework
Jan 17, 19
 12.1: Two and three dimensional geometry
10.3, 12.1, 15.7: Coordinate systems (polar cylindrical spherical)
 Uploaded on courseworks every week. Due by Friday.
Jan 24, 26
 12.2, 12.3: Vectors. Addition, scalar multiplication, length, dot product

Jan 31
Feb 2
 12.4, 12.5: Determinant, cross product. Equations of lines and planes
Feb 7, 9
 10.5, 12.6: Conics and quadrics
Feb 14
 Midterm 1
Feb 16, 21
 13.1, 13.2, 13.3: Vector functions, curves, arc length and curvature.


Feb 23, 28
 13.4, 14.1, 14.2: Velocity and acceleration; functions of several variables
Mar 1, 6
 14.3, 14.4: Continuity, partial derivatives. Tangent plane.
Mar 8, 20
 14.5, 14.6: Chain rule, directional derivative, tangent plane again
Mar 22, 27
 14.7: Maxima and minima. Second order behabvior
Mar 29
 Review
Apr 3
 Midterm 2


Apr 5. 10
 14.8: Lagrange multipliers

Apr 12, 17, 19, 24, 26
 Appendix H + Notes: complex numbers
May 8, 10
 Projected final