Math 3160 - 1 Applied Complex Variables January 9, 2015 Credit Hours: Two Meeting Time: T, Th 12:25 - 1:45 PM in AEB 320 Homepage: http://www.math.utah.edu/~treiberg/M3161.html Instructor: Prof. A. Treibergs, JWB 224, 581 - ­8350. Office Hours: MWF 10:45 AM - 11:45 PM (tent.) & by appt. E-mail: treiberg@math.utah.edu Prerequisites: "C" or better in MATH 2250 OR (MATH 2270 AND MATH 2280). Text: Brown and Churchill, Complex variables and applications, 9th edition, McGraw-Hill, New York, 2013 (ISBN-13: 978-0073383170 ) Course Description: Analytic functions, complex integration, Cauchy integral theorem, Taylor and Laurent series, residues and contour integrals, conformal mappings with applications to electrostatics, heat, and fluid flow. Chapter 1 - The Complex Numbers (3 Lectures) Chapter 2 - Analytic Functions (4 Lectures) Chapter 3 - Elementary Functions (2 Lectures) Chapter 4 - Integrals (5 Lectures) Chapter 5 - Series (3 Lectures) Chapter 6 - Residues and Poles (3 Lectures) Chapter 7 - Applications of Residues (2 Lectures) Chapter 8 - Mapping by Elementary Functions (3 Lectures) Expected Learning Outcomes: Upon successful completion of Math 3160 - Applied Complex Variables, students will be able to: compute algebraic expressions and elementary functions in complex variables; relate complex-derivatives, the Cauchy Riemann equations and harmonic functions; perform contour integrals and use Cauchy's theorems; manipulate series and understand Taylor's and Laurent's Theorems; calculate and apply residues to integrals; employ mapping properties of elementary functions to solve boundary value problems for harmonic functions. In addition to topical content, students will also gain experience and further mastery of complete problem solving fluency. Students will be able to read and interpret problem objectives, be able to select and execute appropriate methods to achieve objectives, and finally, be able to interpret and communicate results. Teaching and Learning Methods: Material will be presented in lectures and read from the test and other sources. Students will solidify their learning by solving problems assigned weekly. Significant time will be devoted to working homework problems in class group work. Students should read the section in the text before each class. Evaluation Methods and Grading Homework: To be assigned weekly. Homework will be due Fridays and will be collected in class Thursdays. Papers turned into the graders ??? mailbox in the math mail room (JWB 228) by ??? PM Fridays before he leaves will be regarded as being turned in on time. Homework that is late but not more than one week late will receive half credit. Homework that is more than one week late will receive no credit at all. Exams: Exams will be closed book except that you will be allowed to bring a "cheat sheet," an 8.5" x 11" piece of paper with notes on both sides. Your text, notes, homework papers, calculators laptops, tablets, phones, text messaging devices, and other books will not be allowed. Midterms: There will be two in-class one-hour midterm exams on Thursdays Feb. 12 and Mar. 26. Final Exam: Fri., May 1, 10:30 AM - 12:30 PM. Half of the final will be devoted to material covered after the second midterm exam. The other half will be comprehensive. Students must take the final to pass the course. Course grade: Two midterms 40% + HW 30% + final 30%. Grades will be assigned "on the curve." Withdrawals: Last day to register is Jan. 19. Last day to drop class is Jan 19. Until Mar. 6 you can withdraw from class with no approval at all. After that date you must petition your dean's office to be allowed to withdraw. ADA: The University of Utah seeks to provide equal access to its programs, services and activities for people with disabilities. If you will need accommodations in this class, reasonable prior notice needs to be given the Center for Disability Services, 162 Olpin Union Building, 581-5020 (V/TDD). CDS will work with you and the instructor to make arrangements for accommodations. All information in this course can be made available in alternate format with prior notification to the Center for Disability Services (www.hr.utah.edu/oeo/ada/guide/faculty/) Faculty and Student Responsibilities: All students are expected to maintain professional behavior in the classroom setting, according to the Student Code, spelled out in the Student handbook. Students have specific rights in the classroom as detailed in Article III of the Code. The Code also specifies proscribed conduct (Article XI) that involves cheating on tests, plagiarism and/or collusion, as well as fraud, theft, etc. Students should read the Code carefully and know they are responsible for the content. According to the Faculty Rules and Regulations, it is faculty responsibility to enforce responsible classroom behaviors, beginning with verbal warnings and progressing to dismissal from class and a failing grade. Students have the right to appeal such action to the Student Behavior Committee. Faculty must strive in the classroom to maintain a climate conductive to thinking and learning (PPM 6-316). Students have a right to support and assistance from the University in maintaining a climate conducive to thinking and learning (PPM 6-400). Note: The syllabus is not a binding legal contract. It may be modified by the instructor when the student is given reasonable notice of the modification.