Analysis

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MATH 361 Intermediate Analysis FS2011

ID: 000587 TIME: MTRF 9:30 – 10:20 Room: Bridges 264

Instructor: Dr. Adam M. Goyt (

Office: 375H MacLean goytadam@mnstate.edu

)

Website: www.mnstate.edu/goytadam/teaching/

Phone: 218.477.2206

Office Hours: M - F 10:30-11:20 and M,T,R,F 1:30-2:20 and W 8:30-9:20 and by appointment.

Textbook: Introduction to Analysis, Edward D. Gaughan, 5 th Edition

Calculators: For some exams you will be allowed a calculator.

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 sequences, limits of functions, continuity and differentiability.

Explain basic mathematical concepts through rigorous proof.

Evaluation:

Homework: There will be 14 homework assignments worth 20 points each, you may drop one.

Quizzes: There will be weekly definition quizzes at 10 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 200 points. The final exam is on

December 14, 2011 at 9:00 am.

Item Percentage of your final grade

Homework 12%

Quizzes 10%

Exams 12% each

Final Exam 18%

If you do better on the Final Exam than your worst Exam score, I will replace that score with your score on the final (this will only be used for ONE exam). Your grade will be determined using the following scale. This class will NOT be curved.

90% - 99% A

88% - 89% A–

85% - 87% B+

81% - 84% B

78% - 80% B-

75% - 77% C+

71% - 75% C

69% - 70% C-

65% - 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 477-

2131 (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 22

Monday

Logic Review

Tuesday

Logic Review

Thursday

Logic Review

HW 1 DUE

Friday

Logic Review

Quiz 1

0.1 0.1 August 29

September 5 NO CLASS 0.2

0.1

HW 2 DUE

0.2

HW 3 DUE

Quiz 3

0.2

Quiz2

Exam 1

September 12

September 19

September 26

October 3

October 10

October 17

October 24

October 31

November 7

November 14

November 21

November 28

0.3

0.4

0.5

HW 6 DUE

Ch 1

NO CLASS

Ch 1

HW 8 DUE

Ch 2

Ch 2

Ch 3

Ch 3

Ch 4

Ch 4

0.3

0.5

Exam 2

Ch 1

NO CLASS

Exam 3

Ch 2

Ch 3

Ch 3

Ch 3

Ch 4

HW 13 DUE

Quiz 14

Ch 4

0.4

HW 4 DUE

0.5

HW 5 DUE

Ch 1

Ch 1

HW 7 DUE

Ch 1

Ch 2

Ch 2

HW 9 DUE

Ch 3

HW 10 DUE

Quiz 11

Ch 3

HW 11 DUE

Ch 4

HW 12 DUE

NO CLASS

Ch 4

HW 14 DUE

0.4

Quiz 4

0.5

Quiz 5

Ch 1

Quiz 6

Ch 1

Quiz 7

Ch 1

Quiz 8

Ch 2

Quiz 9

Ch 2

Quiz 10

Exam 4

Ch 3

Quiz 12

Ch 4

Quiz 13

NO CLASS

Exam 5

December 5 Review Review

Quiz 15

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