Cezar Lupu

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Information about Advanced Calculus II (MATH 1540)-Recitation (undergraduate & graduate)

Advanced Calculus II-MATH 1540 (undergraduate version):

  • There will be four homework assignments for this course assigned monthly. The problems will vary from standard to very difficult. I believe you are all already used to this approach after the first semester. In the end, I will help you with hints and solutions (for the difficult problems). It is important for you to learn and grasp the techniques used here. I am certain that they will be useful at some point in your life.
  • Homework is 35% of your final grade. Dr. Sparling posted the syllabus here: https://lupucezar.files.wordpress.com/2011/02/20151540syllabus.pdf. Homework 2 has already been posted. See here: https://lupucezar.files.wordpress.com/2011/02/advanced_calculus_ii__math_1540__hw_2_undergraduate_pitt1.pdf. On the other hand, I will post solutions (hand written and scanned) for homework 1 soon.
  • My office hours are Monday-Wednesday-Friday (1-2 PM) in the MAC and by appointment in my office (Thackeray 415).
  • Review sessions before the exams will be announced here and via e-mail so stay tuned. 

Advanced Calculus II-MATH 1540 (graduate version):

  •   Homework will be assigned by Dr. Xu (see here: http://www.pitt.edu/~haoxu/math1540.html) but you can also find it on my blog. I believe most of the problems are suitable for the preliminary exam. Moreover, you should also have a look at the worksheets that will be posted on my blog.
  •  I will assign four worksheets for this semester as follows:
  1.  LINEAR MAPS, LIMITS, CONTINUITY AND DIFFERENTIABILITY OF FUNCTIONS OF SEVERAL VARIABLES
  2.  THE INVERSE AND IMPLICIT FUNCTION THEOREMS; EXTREMUM PROBLEMS AND RELATED TOPICS
  3.  INTEGRAL CALCULUS FOR FUNCTIONS OF SEVERAL VARIABLES
  4.  LEBESGUE INTEGRATION AND SETS OF MEASURE ZERO
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