Math 35 Winter 2019
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.
Date |
Sections |
Description |
Friday January 4 |
Section 1.1 |
Ordered sets, fields, rational and irrational numbers |
Monday January 7 |
Section 1.2 |
Triangle inequality, intervals, arithmetic and geometric means |
Tuesday January 8 x-hour |
Section 1.3 |
Completeness axiom and Archimedean property, supremum and infimum |
Wednesday January 9 |
Section 1.4 |
Countable and uncountable sets |
Friday January 11 |
Section 1.4 |
Countable and uncountable sets |
Monday January 14 |
Section 2.1 |
monotone and bounded sequences |
Tuesday January 15 x-hour |
Section 2.1 |
Epsilon, delta definition of the limit, convergent sequences |
Wednesday January 16 |
Section 2.2 |
Monotone and Cauchy sequences |
Friday January 18 |
Section 2.3 |
Subsequences, inferior and superior limits |
Monday January 21 MLK day no class Instead we will have an x-hour on Tuesday January 15 |
no class |
no class |
Wednesday January 23 |
Section 3.1 |
The limit of a function |
Friday January 25 |
Section 3.1 |
One-sided limits, squeeze theorem, continuous functions |
Monday January 28 |
Section 3.2 |
Continuity of polynomials and rational functions |
Wednesday January 30 Midterm Exam will be distributed on this day and it will be due on Monday February 4 |
Section 3.2 |
Continuity of polynomials and rational functions |
Friday February 1 |
Section 3.3 |
Intermediate and Extreme value Theorems |
Monday February 4 |
Section 3.4 |
Uniform continuity |
Tuesday February 5 x-hour |
Section 3.5 |
Monotone Functions |
Wednesday February 6 |
Section 4.1 |
Derivative, product and chain rules |
Friday February 8 |
Section 4.2 |
Mean Value Theorem |
|
Section 5.1 |
Riemann Integral, partitions |
Monday February 11 |
Section 5.2 |
Conditions for Riemann Integrability |
Tuesday February 12 x-hour |
Section 5.3 |
Fundamental Theorem of Calculus |
Wednesday February 13 |
Section 6.1 |
Series, partial sums |
Friday February 15 |
Section 6.2 |
Comparison tests and p-series |
Monday February 18 |
Section 6.3 |
Absolute Convergence |
Tuesday February 19 x-hour |
Section 7.1 |
Series of functions, pointwise convergence |
Wednesday February 20 |
Section 7.1 |
Series of functions, pointwise convergence |
Friday February 22 |
Section 7.2 |
Uniform Convergence |
Monday February 25 |
Section 7.3 |
Uniform Convergence and inherited properties |
Wednesday February 27 |
Section 7.4 |
Power Series, Taylor Series |
Friday March 1 |
Section 7.4 |
Power Series, Taylor Series, Interval of Convergence |
Monday March 4 |
Section 7.5 |
Taylor’s Formula |
Wednesday March 6 The takehome Final Exam will be distributed on this day. It will be due on Monday March 11. |
Review and catchup |
Review and catchup |