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.  

Math 35  Main page

 

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