Analysis

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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
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