MATH 361 Intermediate Analysis TIME: MTRF 8:30 – 9:20 ID: 000666 FS2010 Room: Bridges 267 Instructor: Dr. Adam M. Goyt (goytadam@mnstate.edu) Office: 375D MacLean Website: www.mnstate.edu/goytadam/teaching/ Phone: 218.477.2206 Office Hours: M - F 9:30-10:30 and 1:30 - 2:30 and by appointment Textbook: Introduction to Analysis, Edward D. Gaughan, 5th Edition Calculators: You will be allowed to use a calculator on exams in this course. A TI-83 is recommended. You are not allowed to use any calculator able to do symbolic manipulation, or a laptop or palm computer. You should have a calculator that can at least handle trigonometric functions. Prerequisites: MATH 310 and MATH 323 Course Description: Introduction to the concepts of real analysis. A rigorous discussion of sets, functions, the real numbers, sequences and their limits, functions and their limits, continuity, open and closed sets, compact sets, Heine-Borel Theorem, Intermediate Value Theorem, Differentiability, Rolle’s Theorem, Mean Value Theorem and L’Hospital’s Rule. Course Goals: Upon completion of this course students will be able to do the following: Demonstrate an understanding of analytic proof techniques. Understand the underpinnings of continuity and differentiability. Explain themselves through rigorous proof. Evaluation: Homework: There will be 14 homework assignments worth 25 points each, you may drop two. Exams: There will be 5 mid-term exams worth 100 points each. Final Exam: The final exam will be comprehensive and worth 100 points. The final exam is on December 14, 2010 at 9:00 am. This amounts to 900 points for the class. Your grade will be determined using the following scale. This class will NOT be curved. 90% - 99% 88% - 89% 85% - 87% A A– B+ 81% - 84% B 78% - 80% B75% - 77% C+ 71% - 75% C 69% - 70% C65% - 67% D+ 61% - 64% D 58% - 60% D< 58% F Attendance: Students are expected to attend all class meetings and are responsible for all of the material covered. Any changes in this syllabus or in the scheduling of exams, assignments etc. will be announced during class meetings. Students who miss lecture are responsible for obtaining the notes from a classmate. Unless a valid excuse is presented in advance, a missed exam will receive a score of 0 points. Only extreme situations with a documented excuse will allow a student to be excused from an exam. Commercial travel is not an excuse. No make-up quizzes will be given. No late homework will be accepted. Examine this syllabus carefully and plan around exams. The schedule for the final exam will be strictly adhered to. http://www.mnstate.edu/acadaff/Departments/policies/studentabsence.htm Help: PLEASE feel free to ask me any questions about the material (see office hours above). Disability Services: Students with disabilities who believe they may need an accommodation in this class are encouraged to contact Greg Toutges, Coordinator of Disability Services at 4772131 (Voice) or 1-800-627-3529 (MRS/TTY), CMU 114 as soon as possible to ensure that accommodations are implemented in a timely fashion. Academic Honesty: Study groups are encouraged. However all work not designated as group work must be substantially the student’s own work. It is a fundamental rule in academia that another’s work must be acknowledged. No student shall claim or submit the work of another as one’s own. The University’s policy concerning academic integrity is covered in the student handbook (http://www.mnstate.edu/sthandbook/policiesprocedures/academichonesty.cfm). Week Of August 23 Monday Logic Review Tuesday Logic Review Thursday Logic Review HW 1 DUE 0.1 HW 2 DUE 0.2 HW 3 DUE 0.4 HW 4 DUE 0.5 HW 5 DUE Ch 1 Friday Logic Review August 30 0.1 0.1 September 6 NO CLASS 0.2 September 13 0.3 0.3 September 20 0.4 0.5 September 27 Exam 2 October 4 0.5 HW 6 DUE Ch 1 Ch 1 NO CLASS Ch 1 HW 7 DUE Ch 1 October 11 NO CLASS October 18 Exam 3 Ch 2 Ch 2 October 25 Ch 1 HW 8 DUE Ch 2 Ch 2 Ch 2 November 1 Ch 2 Ch 3 November 8 Ch 3 Ch 3 November 15 Ch 3 Ch 3 November 22 Ch 4 November 29 Ch 4 Ch 4 HW 13 DUE Ch 4 Ch 2 HW 9 DUE Ch 3 HW 10 DUE Ch 3 HW 11 DUE Ch 4 HW 12 DUE NO CLASS Ch 4 HW 14 DUE Exam 5 December 6 Review Review Ch 1 0.2 Exam 1 0.4 0.5 Ch 1 Ch 1 Exam 4 Ch 3 Ch 4 NO CLASS