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Syllabus

Course:  Math 120A

Title:  Elements of Complex Analysis

Credit Hours:  4

Prerequisites:  Math 20E or Math 31CH, or consent of instructor.

Catalog Description:  Complex numbers and functions. Analytic functions, harmonic functions. Complex integration. Power series. Cauchy's theorem. Cauchy's formula. Residue theorem.

Textbook:  There is no required textbook. The recommended textbook for the course is Complex Variables and Applications, 9th Edition, by James Ward Brown and Ruel V. Churchill.

Material Covered:  We will cover parts of chapters 1-6 of the text. A list of topics scheduled to be covered each week can be found on the  Course Calendar.

Homework:  Homework is a very important part of the course and in order to fully master the topics it is essential that you work carefully on every assignment and try your best to complete every problem. Homework will be assigned on the course homework page. Homework will not be collected; your homework will be evaluated by your performance on exams. You should make every effort to complete the homework assignments and seek help with problems you have not been able to solve.

Course Readings:  Please carefully study the lecture notes of the previous lecture at least twice before the next lecture and bring your questions to my office hours. You are responsible for material in the notes whether or not it is discussed in the lecture. Reviewing the material covered in the previous lesson will provide a framework to which the new information can be attached in the next lesson. Research has proven that new information can be more easily understood when it can be integrated with previous information and organized into larger schemata. I recommend that you summarize the key points that are taught in each lecture on a separate sheet of paper.

Lectures:   Attending the lecture is a fundamental part of the course; you are responsible for material presented in the lecture whether or not it is discussed in the textbook. You should expect questions on the exams that will test your understanding of concepts discussed in the lectures.
I may take attendance. Missing more than one lecture (for any reason), will result in an automatic "F" in the course regardless of your exam grades (if you miss more than one lecture, then your course letter grade will be F). If you arrive late more than once, you will receive F in the course. Also please see "Grading" below.

  • Note: The lectures will emphasize ideas and concepts, rather than just computational examples. Of course, an abundance of concrete examples and exercises will be given and discussed in my problem sessions and discussion sections.
  • Note: If it is not possible for you to regularly attend the lectures, or if you believe you will not benefit from attending my lectures, please, I beg you, immediately drop my class. Your education is of paramount importance. You should take this class with someone who you can actually learn from.

Pop Quizzes:   Some pop quizzes may be given without notice in advance. Quizzes may be given at the beginning of class, during class, or at the end of class. No notes (or books) or calculators will be allowed during the quizzes.There will be no make-up quizzes; please be on time for class. Each quiz covers only the material of the preceding lecture. If your answer is correct, you get 1/2 point extra credit (which will be added directly to your final quarter grade). If your answer is wrong, 2 points will be subtracted from your final quarter grade. If you miss some of the quizzes, for each quiz that you miss, 10 points will be subtracted from your final quarter grade (this means your final percentage grade will be lowered by 10%).

Make-Up Lectures:   The university is closed on Monday, Sep 4. Also the two midterm exams will be in-class. We will have a make-up lecture (and/or problem session) every Friday from 5:00 to 7:20 pm in CENTR 109.

  • Make-Up Lecture 1: Friday 08/11/2017 5:00 to 7:20 pm in CENTR 109.
  • Make-Up Lecture 2: Friday 08/18/2017 5:00 to 7:20 pm in CENTR 109.
  • Make-Up Lecture 3: Friday 08/25/2017 5:00 to 7:20 pm in CENTR 109.
  • Make-Up Lecture 4: Friday 09/01/2017 5:00 to 7:20 pm in CENTR 109.

Discussion Sections:  Discussion sections will meet on Monday and Wednesday. The first discussion section will be on Wednesday, August 9. Attendance is mandatory.

Exams:  There will be two midterm exams and a final exam. The midterm exams will be held during the first half of lecture.

  • Midterm 1: Monday 08/21/2017 in CENTR 109.
  • Midterm 2: Wednesday 09/06/2017 in CENTR 109.
  • The final exam will be take-home, and due by 10:50 am, Saturday, September 9.
You will not be permitted to use a calculator or any other electronic devices during the exams. You may not use any notes for the midterm exams. You may use one 8.5 x 11 inch page of handwritten notes (both sides are okay, but no photocopies are allowed). This "cheat sheet" may contain anything you deem useful, with the exception of solved problems or examples. You must turn in your cheat sheet with your blue book. You may not use any other notes or books. Please bring your student ID to the exams.

Grading:  If you do not miss more than one class, your Math 120A weighted average will be calculated as follows:

  • 45% Midterm Exam I,   50% Midterm Exam II,   5% Final Exam
If you miss more than one class (lecture or discussion section), you will receive F in this course (for example, if you miss two lectures or if you miss a lecture AND a discussion session, your course letter grade will be F). Also please see "Pop Quizzes" above. After your weighted average is calculated, letter grades will be assigned based on the following grading scale:

A A- B+ B B- C+ C C- F
[96,100] [94,96) [91,94) [88,91) [84,88) [81,84) [78,81) [74,78) [0,74)

There will be no curve. Also your final percentage grade will NOT be rounded up. So 95.9999% is an A-.
The percentage of students who got "A" in my past classes (in accordance with the above grading scale) and the average grade received in every class that I have taught, are significantly higher than the norm at the UCSD math department. Nevertheless, if you still believe that the grading scale that I use is "unfair", or if you are more concerned with your grade than with what you learn, please take the class with someone else.

Regrades:  Midterm exams will be returned in the discussion sections.   If you believe there might be an error in the grading and wish to have your exam regraded, you must observe the following rules:

  1. Return your exam immediately to me. Regrade requests will not be considered once the exam leaves the room.
  2. Retrieve your exam during discussion section or arrange to pick it up within two days after it was made available for pickup (i.e., returned) in section. In order to be considered, regrade requests must be submitted within two days after being returned in section.

Grade Recording Errors:  This course will have a page on Ted; your midterm grades will be recorded on Ted. Please always make sure that your grades have been inputted and inputted correctly. Keep all of your returned exams. If there is any mistake in the recording of your scores, you will need the original exam in order for us to make a change. In particular, if there is any mistake in the recording of your exam scores, you must notify me within two days after the score was posted to Ted (otherwise your request will not be considered). Any requests will only be considered within two days of the date when the assignment or exam was first made available for pickup .

Make-up Exams:  Make-up exams will not be given. You cannot take any exam early or late. In particular, it is your responsibility to ensure that you do not have a schedule conflict involving the midterm exams or the final examination; you should not enroll in this class if you cannot take the midterm exams at the scheduled times.

Extra Credit:  Each homework assignment contains some questions marked in bold. You will get extra credit if you come to my extra office hours on Friday or Saturday* and explain your solutions to the bold questions of the week on the board. For each successful presentation you will earn 1/2 point extra credit which will be added directly to your final quarter grade.
*Note: During Weekends all building entry doors will be locked 24/7. Make sure to bring your UCSD photo ID card; you need to swipe your UCSD photo ID card at an OMNILOCK access control device near either north/south center lobby glass doors to unlock.

Be on Time:  Please arrive on time; in fact, please make sure to be in class before 7:55 am every MWF. If your schedule does not allow you to be in class before 7:55 am, please do NOT take the class. Also please do not leave class early. Entering and leaving during class can be disruptive. Disruption interferes with the learning environment and impairs the ability of others to focus. If you cannot arrive on time or must always leave early because of a class or work conflict, please do NOT take the class.

Office Hours:   I have scheduled a large number of office hours for this class. Study the lecture notes regularly and make sure to bring your questions to my office hours. There is nothing that I like more than talking with you about math. If your schedule does not allow you to attend any of my office hours to ask your questions, you MUST NOT enroll in this class.

Electronic Devices:   Please do NOT use devices such as laptops, tablets, cell phones for non-class-related purposes while in class. It is very distracting to students around you if you are using Facebook, Twitter, email, etc. during class. Also the use of electronic devices will NOT be permitted during exams.

Spend Sufficient Time on the Course:  According to the policy of UCSD's Academic Senate, "The value of a course in units . . . shall be reckoned at the rate of one unit for three hours' work per week per quarter on the part of the student." Since Math 120A is worth 4 credits, you should be willing to spend about 12 hours per week on the course.

Academic Dishonesty:  Academic dishonesty is considered a serious offense at UCSD.  Students caught cheating will face an administrative sanction which may include suspension or expulsion from the university.  Any indication of cheating will result in a failing grade with your name being turned in to the administration. It is in your best interest to maintain your academic integrity. (Click here for more information.)

Lastly,  I believe that we are so incredibly fortunate to live in this wonderful place and have the opportunity to work or study at UCSD. If you share this sentiment, if you believe in the power of honesty and integrity, if you believe in the power of hard work and determination, and if you believe in lifting people up and not tearing them down, please do take my class. I will stop at nothing to help you succeed in this class.