MATH
453 Advanced Calculus, Spring, 2014
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, 336 KRH, 527-2088
Office Hours: 2 TuWTh, 3 M, 1 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 functions, integrals, infinite series, and other selected topics.
TEXT: Advanced Calculus, A Course in Mathematical Analysis, Second Edition, by
Patrick M. Fitzpatrick, 2006, The Brooks Cole Series in Advanced Mathematics
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. To encourage careful reading of the textbook, the first student
to report an error in the textbook via email will be given 1 point of extra credit in the homework category. To see the current list of errors
go to textbook errors.
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 open book test will cover the reading, lectures, problems presented in class, and homework exercises from the first half of the quarter.
FINAL EXAMINATION: This open book test will cover the second half of the course, and it will be given on Monday, June 9, at 10 AM.
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.
APPROXIMATE SCHEDULE:
Week 1 9.4 #2, 3, 4 (everyone)
Howie: prepare 9.6 #4, 10.1 #9;
Mark: prepare 9.6 #3, 10.1 #12;
Taylor: prepare 9.6 #2, 10.1 #2;
Week 2 Section 10.2 #4 (Howie) )
Everyone: 10.1 #13; 10.3 #9; 11.1 #3, 11.2 #7
Section 10.2: Mark #2, Howie #4;
Section 10.3:Howie: 3,Mark: 5,Taylor: 1abd;
Section 11.1 Taylor #5d, Howie #11;
Section 11.2: Taylor 1a, Mark #4, Howie #10;
Section 11.3: Taylor #1, Howie #2, 3, Mark 10
Section 11.4: Taylor #8, Howie #9, Mark #5
Week 3 Everyone: Section 12.1#7; 12.2 #9; 12.5 #1
Section 12.1: Mark #3, Howie #9;
Section 12.2: Taylor #1c; Howie #16;
Section 12.3: Mark #3bc;
Section 12.4: Howie #10;
Section 12.5: Taylor #3, Mark #10;
Howie's problems
Week 4 Everyone: Section 13.1 #8; 14.1 #4; 14.2 #2
Section 13.1 Taylor #3a, Howie #6
Section 13.2 Mark #6, Howie #13a
Section 13.3 Taylor #2, Mark #9
Section 14.1 Howie #11, Mark #17
Section 15.1 Taylor#2
Howie's problems
Week 5 Everyone: Section 14.3 #4; 15.3 #2 (D1 only); 16.1 #10
Section 15.1 Mark #12
Section 15.2 Howie#5, Mark #8
Section 15.3 Mark #5, Howie #11
Section 16.1 Howie #2, Taylor #5
Section 16.2 Mark #3
Week 6 Everyone: Section 17.1 #2; 17.4 #4
Section 16.2 Howie #8
Section 16.3 Taylor #1, Mark #4, 10
Section 17.1 Taylor #1, Howie #4, Mark #8
Section 17.2 Howie #1, Mark #8
Section 17.3 Taylor #1, Mark #5
Howie's problems
Week 7 Everyone: Section 16.2 #3; 16.3 #6; 17.2 #9
Section 17.4 Taylor #2, Mark #9, Howie #13
Section 18.1 Taylor #4, Howie #12, Mark #14
Section 18.2 Taylor #2, Mark #5, Howie #7
Week 8
Section 18.3 Taylor #3, Mark #4, Howie #9
Section 19.1 Mark #2, 5, Howie #6
Section 19.2 Taylor #2, Howie #4, Mark #7, 8
Week 9
Section 19.3 Taylor #2, Mark #3 (19.19 only), Howie 7; see #10,11
Section 20.1 Taylor #1, 3; Howie #2, 5, Mark #7
Week 10
Section 20.2 Howie #3; Taylor #6; Mark #8, 9
Section 20.3 Taylor $1, Mark #8; Howie #10, 11