MATHS 377 - Fall 2003 - Stankewitz     
[Maths 377 syllabus] [HW problems] [Exam Schedule] [Weekly schedule] [Exam study guide]

Dr. Stankewitz's Teaching Schedule and Office hours  

Exam Schedule (Tentative)

Exam I will be Friday 10-2-09 and will cover sections 1-28 (skipping 23, 27, and 28).  I will not require epsilon-delta proofs, but you should expect to create some proofs.
 

Exam II will be Monday 11-9-09 and will cover through sections 54, including 27.
       

The Final Exam will be given at 2:15 on Tuesday, Dec. 15, 2009.
         

Weekly Schedule (Approximate - we intend to cover most of Chapters 1-9)

Homework

• All homework should be written up neatly and with full explanation of the work. Remember, the right answer is only part of the solution. You need justification for the rest. You should write in full sentences with words when appropriate.
• When quizzes are given, they will be given at the beginning of class.
• You should read each classes material before we cover it in class.

Homework Assignments

Read each section carefully and do the following problems to be turned in:

HW 1 due Wed. 9-2
§ 1+2  # 1, 2, 4, 10, 11
§ 3  # 1
§ 4 # 1, 3, 4, 5, 6
§ 5 # 1, 2, 7, 9, 13, 14, 15
§ 6+7+8  # 1, 2, 4, 5, 9, 10

HW 2 due Wed. 9-9
§ 9+10 # 1, 3
§ 11 # 1-4, 6, 7, 10

HW 3 due Wed. 9-16
§ 12 # 1, 3, 4, plus in class HW Exercise on "square root" functions
§ 13+14 # 1, 3, 5, 6, 7

HW 4 due Wed. 9-23
Use the applet ComplexTool to complete all the exercises found here.
You do not need to do any problems that appear on the applet web page. 
No applet work needs to be turned, but it will help you with the other problems.
§ 15-18 # 1, 2(a), 3, 5, 7, 10, 13, and in class HW Exercise on continuity of "square root" functions (applet may help)
§ 19+20 # 1, 2, 8

HW 5 due Mon. 9-28
§ 21 - 23 # 1, 3, 5, 6, 10, plus in class HW Exercise on analyticity of "square root" functions using polar C-R
§ 24 - 25 # 1, 2
§ 26 # 1-4, 7

HW 6 due Wed. 10-7 Fri. 10-9
§ 29  # 1, 3, 6, 8, 10, 13
§ 30 - 31 # 1 - 4, 6, 8, plus THREE HW Exercises (one on a branch of log z, one on braches of the square root, and one relating logs to square roots)
§ 32 # 1, 2, 4
§ 33 # 1, 2, 3, 6, 7

Exam I Re-write due Mon. 10-12
Students will be able to earn up to 3 more points on their exam by rewriting all problems in which points were lost.  Submit both your original exam and the rewrite clearly written on separate paper.

HW 7 due Wed. 10-14
§ 34 #  1, 8, 9, 14
§ 37-38 # 1-4
§ 39 # 5, 6 (#5 is the HW Exer given in class)
§ 40 - 42 # 1, 2, 5, 6, 8, 10 (need not use (a) to do (b), show all details - don't just quote previous integral results)

HW 8 due Wed. 10-21
§ 43 # 1, 2, 4, 5
§ 44-45 # 2, 3, 4
§ 46 - 49 # 1(skip d), 2, 4, 6, 7
Plus in class HW Exercise on branch of log with spiral branch cut.

Weekly Project Reports due each Saturday!

HW 9 due Wed. 10-28 Fri 10-30
§ 50-52 # 1, 2, 3, 7, 10
§ 53-54 # 1, 3-6, 9

HW 10 due Fri. 11-13
§ 55-56 # 1, 2, 3, 4
§ 57-59 # 1, 3, 5, 7, 11, 13
§ 60-62 # 1, 2, 4, 5, 7, 8

HW 11 due Fruesday. 11-24
§ 63-66 #1, 3, 4, 6, 8, 11
§ 68-71 #1(a-c), 2
§ 72 # 1-5
§ 73-74 #1, 2(a)(b), 3, 4 (in both problems 3 and 4 do with the residue theorem and then again with CIF)

HW 12 due Fri. 12-4
§ 75-76 # 1, 4(a), 5
§ 78-79 # 1, 3, 5, 6
§ 80 (skip § 81-85) # 1, 2, 5

HW 13 due Wed. 12-9
§ 86-87 # 1, 2, 6, 7, 8, 9 (Argument Principle Mathematica file)
§ 90 # 1, 2, 5
§ 91-92 # 7, 8, 11 - these sections will not appear on the final
§ 93-94 # 1, 2, 5, 6, 10 - these sections will not appear on the final

Study guide for exams

When preparing for the exam:: READ THE BOOK. Read every chapter of the covered material. You'll be amazed at how much you now know and this really will (trust me) solidify what you need to know. These solidified ideas will make what seemed like 100 different problems look all the same and you will be able to do them all. Re-do all the homework problems (don't just look over your old solutions). Re-do all the exam and quiz problems. Learn all the necessary formulas, but be sure to be able to get by as well as you can without them.

When taking the exam Show all your work Don't erase work. If it is incorrect, leave it on the page and state that it is incorrect. If you can't do a problem, just start doing whatever you can do. If you can't do part of a problem, but you know what to do if you could do this one part, then tell me what you would do if you could. If you can't do a problem, then tell me what you do know. Check your work carefully. Sometimes you can do a problem two different ways and that way you can check your work. Be prepared for problems that are not just like what you've seen before.