Home » Complex-Spring2016 » Complex Variables: homework information for Spring 2016

Complex Variables: homework information for Spring 2016

The assignments are organized according to their due date. Please report any issues back to Iva.

  • Assignments for Monday 1/25 and Tuesday 1/26:
      Section 1.2 of your textbook: Please turn in Problems 2(g), 2(h), 2(i), 2(j), and two identities from Problem 4. Remarks: If you are not already fluent and fast in complex number arithmetic, you really need to first do Problem 1 or similar exercises. These are not due, but I expect you to be mature about this and practice the complex number arithmetic until you become fast at it. Also: If you find the problems which are due too elementary, feel free to do Problem 9 of Section 1.2 instead.
      Sections 1.3 and 1.4: Please turn in Problem 6 from Section 1.3 and Problems 3, 5 from Section 1.4 of your textbook. Remark: If by the time you are done with these problems you do not feel fluent in problems such as 3 and 5 from Section 1.4, then please come find me for some extras.
      Section 1.5: Please turn in Problems 1 and 5 from Section 1.5 of your textbook.
  • Assignments for Monday 2/1 and Tuesday 2/2:
      Section 2.1 of your textbook: Please turn in Problems 10 and 13, as well as the supplemental problems from this homework sheet.
      Section 2.2: Please turn in Problems 1, 5, 7, 8, 10 and 12.
      Sections 2.3 and 4.1: Please turn in the two problems at the end of the lecture notes. Remarks: If you have a background in advanced calculus / topology or just a very strong background in set theory, you may benefit from reading Sections 2.3 and 4.1 of your textbook.
  • Assignments for Monday 2/8 and Tuesday 2/9:
      Section 2.4 of your textbook: Please turn in the problems from this homework sheet. Note: the problems on the sheet are modifications of problems from Section 2.4 of your textbook. Also note: it is very likely that you will want to refer to examples from Thursday’s class.
      Section 2.5 of your textbook: Please turn in this one problem on the reciprocal function. Note that the textbook goes into a lot more detail about this function than I expect you to.
      Sections 4.3, 4.4 and 7.3: Please turn in these problems on power and Laurent series. Note that we will revisit later parts of sections 4.4 and 7.3 at a later point in the semester.
  • Assignments for Monday 2/15 and Tuesday 2/16:
      Section 3.2 of your textbook: Please turn in Problems 1b), 1d), 5, 14, 16.
      Sections 3.3 of your textbook: Please turn in these problems on 2D fluid flow.
  • Assignments for Monday 2/22 and Tuesday 2/23:
      Section 5.1 of your textbook: Please turn in Problems 4b), 4d), 4f) and 5.
      Section 5.2 of your textbook: Please follow the directions in this assignment sheet.
      Section 5.3 of your textbook: Please turn in Problems 1, 2 and 8.
  • Assignment for FRIDAY 2/26:
      Section 5.4 of your textbook: Please follow the directions in this assignment sheet.
  • Assignment for Monday 2/29 and Tuesday 3/1:
  • Assignment for Monday 3/7 and Tuesday 3/8:
      Section 6.2 of your textbook: Please turn in Problems 1, 7b), 7c), 7d), 9.
      Section 6.4 of your textbook: Please turn in Problems 2, 3, 4.
  • Assignment for Monday 3/14 and Tuesday 3/15:
      Triangle and ML Inequalities: Please follow the directions in this assignment sheet.
      Section 6.5 of your textbook: Please turn in Problems 2, 4, 6, 11, 12, 13, 15, 18.
  • Assignment for Monday 3/28 and Tuesday 3/29:
      Sections 7.3 and 7.4 of your textbook: Please follow the directions in this assignment sheet.
  • Assignment for Monday 4/4 and Tuesday 4/5:
      Section 8.1 of your textbook: Problems 1c), 1d), 1e), 1i), 1j), 1m), 3b), 3d), 3f) and this supplemental problem.
      Section 8.3 of your textbook: Problems 2, 3, 6, 9, 10, 12.
      Introduction to Integral Transforms: First read this handout in all the gory details. Then deduce the boxed formulas in the middle of page 3. You are expected to use the same logic that brought us the formulas on the top of page 3.
  • Assignment for Monday 4/11 and Tuesday 4/12:
      Section 8.4 of your textbook: Problems 1, 2, 3, 4, 5, 10.
      Section 8.5 of your textbook: Problems 4, 6, 8, 14, 16, 17.
      Section 8.6 of your textbook: Problems 1, 2, 9, 16, 21.
  • Assignment for Monday 4/18 and Tuesday 4/19:
      No homework – study for the exam! Here is the study guide.
  • Assignment for the Last Week of Class:
      Here are some notes on how it all fits together. There are no homework problems here per se, but you do get to see how results of your homework can be put into good use.
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