MATH
451 Advanced Calculus, Autumn, 2003
BULLETIN DESCRIPTION: Study of functions of one and several variables
including continuity, differentiation, infinite series, uniform convergence,
and selected topics. Prerequisite: MATH 283 Offered odd years only.
INSTRUCTOR: Dr. Ken Wiggins, 338 KRH, 527-2088
Office Hours: 2 TuWTh, 3 M, 11 F, Other
Office hours by appointment
OBJECTIVES: After finishing this course, students should be able
solve problems and to organize and effectively communicate ideas involving the
basic theory of real numbers, sequences of real numbers, continuous functions,
limits, and differentiation.
TEXT: Advanced Calculus, A Course in Mathematical Analysis, by
Patrick M. Fitzpatrick, 1996, ITP
Assessment: All assessment will be based on both the correctness
of your results and the quality of your presentation.
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HOMEWORK: Homework exercises will be announced in class, and
they will be collected once each week. Your instructor will be grading the
homework, and because he wishes to return it to you promptly, homework that is
more than one day late may not be accepted. Homework papers that are one day
late will be assessed a 20% late penalty. Oral presentations may be included in
your homework. Each day you must bring
one typewritten question to class from the reading assignment. Some of these questions will be addressed
during the class period. The questions
will count as part of your homework grade.
Your homework exercises will be challenging,
and you may need extra help from your instructor. Don't hesitate to ask for
help when you need it!
MIDTERM TEST: This test will cover the lectures and homework
exercises.
FINAL EXAMINATION: This comprehensive test will be given on Wednesday,
December 17,at 2 p.m. Attendance is
required, so make your travel plans with this appointment in mind.
DISABILITIES: If you have a physical and/or learning disability and
require accommodations, please contact your instructor or the Special Services
office at 527-2090. This syllabus is available in alternative print formats
upon request. Please ask your instructor.
MATH 451, Advanced Calculus Homework Schedule -- Subject to change
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H1: |
Section 1.1 #1,3,5, supplementary logic problems |
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H2: |
Section 1.2 #3,4,6 |
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Section 1.3 #1,3,9,12a,18,19 |
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H3 |
Section 2.1 #1b,3,6,7,13a,17 |
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H4 |
Section 2.2 #1,3,4,12 |
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H5 |
Section 3.1 #3,4,7 |
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Section 3.2 #1a,2,7 (look at #3) |
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Section 3.3 #4,7,8 |
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H6 |
Section 3.4 #3,4,7, (look at #6) |
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Section 3.5 #1,5,8,(look at #13) |
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Section 3.6 #1c,2a,4a, (look at #8,9,13) |
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H7 |
Section 4.1 #1a,3,4c,5,8a,13 |
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Section 4.2 #2,4,10 |
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H8 |
Section 4.3 #1a,2,4,9,10,15,16,17 |
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Section 4.4 #1c,4a,5,7,8 |
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H9 |
Section 4. 5 #1,2,4,5,7 |
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Section 5.1 #1,3,6 |
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Supplementary problems on infinite sets |
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