MITES 2010 Advanced Calculus
Instructor: 
Prof. Julia Wolf, Email: julia.wolf at cantab dot net 
Lectures: 
Mo We Fr, 10:45am12:15pm in 2105 
Teaching assistant: 
Julia Titarelli, Email: juliast at mit dot edu 
Recitation: 
Th, 3:454:45pm in 2105 
Problem sets: 
due by 9am on Tuesday morning 
Links: 
official MITES website 
Prerequisites: 
first semester calculus 
Office hours: 
Mo 89pm, or by appointment 

The following list of topics covered is tentative so please check back frequently for uptodate information.
Monday  Jun 21 
lecture 1: integration by parts, usubstitution  
Wednesday  Jun 23 
lecture 2: polar coordinates and curves  
Friday  Jun 25 
lecture 3: vectors, dot and cross products  
Monday  Jun 28 
lecture 4: partial derivatives, chain rule  
Wednesday  Jun 30 
lecture 5: surfaces, tangent planes  
Friday  Jul 2 
lecture 6: gradient, directional derivatives  
Monday  Jul 5 
lecture 7*: local and global extrema  
Wednesday  Jul 7 
midterm  
Friday  Jul 9 
lecture 8: Lagrange multipliers, 2D integrals  
Monday  Jul 12 
lecture 9: 3D integrals, change of variables  
Wednesday  Jul 14 
lecture 10: line integrals of scalar and vector fields  
Friday  Jul 16 
lecture 11: exact differentials, Green's theorem  
Monday  Jul 19 
lecture 12: surface integrals of scalar and vector fields  
Wednesday  Jul 21 
lecture 13: divergence theorem, Stokes's theorem  
Friday  Jul 23 
no session**  
Monday  Jul 26 
review session  
Thursday  Jul 29 
final exam***  
* short session: 10:1011:10am
** final projects presentation
*** special time: 9:0011:00am
There will be NO calculators in the classroom. I am hoping to teach you to use your brain instead. Calculators will NOT be permitted in any of the exams.
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Recitations are an integral part of your college education, and will be run by our teaching assistant Julia Titarelli. It is absolutely vital that you prepare for each session by doing the problem sets below and handing in solutions on time.
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Problems sets will be posted below in due course. A total of 60 points is available for homework (see grading information below).
Warmup problems (due date: Tu, Jun 22)
Problem set 1 (due date: Tu, Jun 29)
Problem set 2 (due date: Tu, Jul 6)
Midterm formula sheet, review problems and sketch solutions
Problem set 3 (due date: Tu, Jul 13)
Problem set 4 (due date: Tu, Jul 20)
Problem set 5 (due date: Su, Jul 25)
Final formula sheet, review problems and sketch solutions
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A total of 300 points will be available for this class, allocated as follows.
Final exam:  160 
Midterm exam:  80 
Problem sets:  60 
Total:  300 
The midterm exam will take place during regular class time in our regular class room, meaning we will start promptly at 10:45am. The midterm exam will cover all the material up to and including that covered on Monday, July 5.
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Here are a couple of links to applets and websites that I have used or recommended in class:
David Little's applet for parametric curves
David Little's applet for surfaces
MIT OpenCourseWare 18.02
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Congratulations to our program award winners:
Brandon Garcia (Director's Award)
Bradley JeanBaptiste (Ramsey Award)
Estefania Avila (Trilling Award)
Jonathan Calderon (Harris Award)
Pablo Suero (Trilling Award)
All of them demonstrated excellent academic performance throughout the program.
In addition, the following students were recognized for their achievement through class awards:
Jeremy Kaplan (Academic Excellence)
Diego Giraldez (Most Improved)
Khalil Griffin (Most Improved)
Hana Page (Big Delta)
Nicolas Bravo (Peer Mentorship)
