Math 361 Section 1 - Calendar- Spring 2007

Be sure to check back often.

All numbers indicate sections from Kosmala Second Edition.

R is for the reading assignment
C is for exercises that are assigned and will be collected
NC is for exercises that are assigned but will not be collected

Monday

Wednesday

Friday

Jan. 29
Lecture:
Taylor's Theorem

Homework:
R 5.4
C Final Exam
C Additional Problem
NC 5.4: 2b
Jan. 31
Lecture:
L' Hospital's Theorem

Homework:
R 5.5
C 5.5:6b
C Additional Problem
NC 5.5: 6ac
Feb. 2
Lecture:
Darboux Intermediate Value Theorem
Partitions of an Interval

Homework:
R 6.1
C 5.5: 3
Feb. 5
Homework Due:
Through Jan. 31

Lecture:
Upper and Lower Darboux Sums
Riemann Integrals

Homework:
R 6.2
C 6.1: 2,3
C Additional Problem
NC 6.1: 5
Feb. 7
Lecture:
Integrable Functions

Homework:
R 6.3
C 6.1: 7,8,10
NC 6.1: 6
Feb. 9
Math Modeling Competition
Feb. 12
Homework Due:
Through Feb. 7

Lecture:
More L'Hospital
Monotone Functions

Homework:
C 6.1: 11
C 6.2: 1,2
NC 6.2: 5
Feb. 14
Lecture:
Continuous Functions
Properties of Integrals

Homework:
C 6.2: 3,11,12
Feb. 16
Lecture:
Subdividing Intervals

Homework:
C 6.1: 6
C 6.3: 1a,2,3
Feb. 19
Homework Due:
Homework Through Feb. 14

Lecture:
Finite Changes in Functions
Composition of Integrable Functions

Homework:
R 6.4
C 6.3: 4,5,6
Office hours Canceled Today
Happy President's Day
Feb. 21
Lecture:
Extended Definition of Integral
Mean Value Theorems

Homework:
C Additional Problem
NC 6.3: 8
Feb. 23
Lecture:
Fundamental Theorem of Calculus

Homework:
C 6.3:10
C 6.4:2
NC 5.4:1
Feb. 26
Homework Due:
Homework Through Feb. 21

Lecture:
Second Fundamental Theorem of Calculus
Integration by Substitution

Homework:
C 6.4: 5,9
Feb. 28
Lecture:
Natural Log Function
Exponential Function

Homework:
C 6.4:7k
C Additional Problem
March 2
Lecture:
Differentiability of Exponential Function
Improper Integrals

Homework:
R 6.5
C Additional Problem
March 5
Homework Due:
Through Feb. 28

Lecture:
Improper Integrals

Homework:
R 6.6
C 6.5: 1,2,4
NC 6.5: 3ab
March 7
Lecture:
Improper Integrals
Gamma Function

Homework:
C Additional Problem
C 10cf
NC 10eh
March 9
Lecture:
Converges of Functions

Homework:
C Study for Exam
C Remember to Know your Theorems
March 12
Exam 1
March 14
Homework Due:
Through March 7

Lecture:
Uniform Convergence

Homework:
C Additional Problem
March 16
Lecture:
Uniform Norm on Bounded Functions
Uniform Limits of Continuous Functions

Homework:
C Additional Problem
March 19
Lecture:
Uniform convergence and Integrals
Uniform convergence and Derivatives

Homework:
C Additional Problem
March 21
Homework Due:
Homework Through March 16

Lecture:
S and C functions

Homework:
C Additional Problem
March 23
Lecture:
Uniqueness of S and C

Homework:
C Additional Problem
March 26
Office Hours Moved to Tuesday 2:30-4
Lecture:
Sum formulas for S and C
Pi
Sin and Cos

Homework:
C Additional Problem
March 28
Homework Due:
Homework Through March 23

Lecture:
Formulas for Sin and Cos

Homework:
R 7.1
C Additional Problem
March 30
Lecture:
Derivative of Sin and Cos
Series

Homework:
R 7.3
C Additional Problem
NC 7.1: 6
April 2
Spring Break
April 4
Spring Break
April 6
Spring Break
April 9
Spring Break
April 11
Lecture:
Power Series

Homework:
R 8.4
C 7.1: 4abe,17
C 8.5: 1,3ade (just find radius)
NC 8.5: 3gh
April 13
Homework Due:
Through March 30

Lecture:
Integrals of power series

Homework:
C Additional Problem
April 16
Lecture:
Derivatives of power series

Homework:
C Additional Problem
April 18
Homework Due:
Homework Through April 13

Lecture:
Radius of Convergence

Homework:
C Additional Problem
April 20
Lecture:
Radius of Convergence
Distance

Homework:
C 8.5: 7,18a,19
NC 8.5: 16
April 23
Lecture:
Metric Spaces
Normed Vector Spaces

Homework:
C Additional Problem
April 25
Homework Due:
Through April 20

Lecture:
Examples of norms on R^n
Cauchy-Schwarz on R^n

Homework:
C Additional Problem
April 27
Lecture:
2 norm on R^n
Questions for Exam

Homework:
C Study for Exam
April 30
Exam 2
May 2
Lecture:
L^p spaces

Homework:
C Additional Problem
May 4
Homework Due:
Through April 30

Lecture:
Open and Closed Sets


Homework:
C Additional Problem
May 7
Lecture:
Continuous Functions
Subspaces

Homework:
C Additional Problem
May 9
Lecture:
Complete Spaces
Compact Spaces

Homework:
C Additional Problem
May 11
Lecture:
Sequential Compact

Homework:
C Extra Credit Problem
May 14
Homework Due:
Rest of Homework

Lecture:
Questions for the Final

Homework:
C Study for Exam
NC Enjoy Life
Final Exam
Wednesday, May 16 at 8:00 am


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