Math 35 Winter 2007
Syllabus
This is a tentative syllabus. In all likelihood, one of the textbook chapters on this syllabus will actually be omitted. This page will be updated irregularly.
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Date |
Sections |
Description |
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Friday January 5 |
Section 1.1 |
Ordered sets, fields, rational and irrational numbers |
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Saturday, January 6, special day of classes. There will be no class on this day, instead we will have an x-hour on Tuesday January 9 |
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Monday January 8 |
Section 1.2 |
Triangle inequality, intervals, arithmetic and geometric means |
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Tuesday January 9 x-hour instead of the Special Day of Classes on Saturday January
6 |
Section 1.3 |
Completeness axiom and Archimedean property, supremum and infimum |
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Wednesday January 10 |
Section 1.4 |
Countable and uncountable sets |
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Friday January 12 |
Section 1.4 and 2.1 |
Further facts about uncountable sets, monotone and bounded sequences |
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Monday January 15 Martin Luther King Jr Day No class |
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Tuesday January 16 x-hour instead of the class on the Martin Luther King Jr Day |
Section 2.1 |
Epsilon, delta definition of the limit, convergent sequences |
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Wednesday January 17 Note that January 18 is the final day for electing use of
the Non-Recording Option |
Section 2.2 |
Monotone and Cauchy sequences |
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Friday January 19 |
Section 2.3 |
Subsequences, inferior and superior limits |
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Monday January 22 |
Section 3.1 |
The limit of a function |
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Wednesday January 24 |
Section 3.1-3.2 |
One-sided limits, squeeze theorem, continuous functions |
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Friday January 26 |
Section 3.2 |
Continuity of polynomials and rational functions |
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Monday January 29 |
Section 3.3 |
Intermediate and Extreme value Theorems |
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Wednesday January 31 The takehome Midterm Exam will be
distributed on this day. It will be due on Monday February 5 |
Section 3.4 |
Uniform continuity |
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Friday February 2 |
Section 3.5 |
Monotone Functions |
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Monday February 5 |
Section 4.1 |
Derivative, product and chain rules |
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Wednesday February 7 |
Section 4.2 |
Mean Value Theorem |
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Friday February 9 Winter Carnival No class |
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Monday February 12 |
Section 5.1 |
Riemann Integral, partitions |
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Tuesday February 13 x-hour instead of the class on the Winter Carnival day |
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Wednesday February 14 |
Section 5.2 |
Conditions for Riemann Integrability |
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Friday February 16 |
Section 5.3 |
Fundamental Theorem of Calculus |
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Monday February 19 |
Section 6.1 |
Series, partial sums |
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Wednesday February 21 |
Section 6.2 |
Comparison tests and p-series |
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Friday February 23 This is the final day to withdraw from a course |
Section 6.3 |
Absolute Convergence |
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Monday February 26 |
Section 7.1 |
Series of functions, pointwise convergence |
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Wednesday February 28 |
Section 7.2 |
Uniform Convergence |
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Friday March 2 |
Section 7.3 |
Uniform Convergence and inherited properties |
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Monday March 5 |
Section 7.4 |
Power Series, Taylor Series |
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Wednesday March 7 The takehome Final Exam will be
distributed on this day. It will be due on Wednesday March 14, the last day
of the Final Examination period. |
Sections 7.4 and very briefly 7.5 |
Interval of Convergence, |