Math 1d: Sequences and Series Week 7
California Institute of Technology
Winter 2014
Jay Daigle
1
Fourier Series
In the past week weve looked at ways to approximate functions using polynomials. If you
Math 1d: Sequences and Series Week 6
California Institute of Technology
Winter 2014
Jay Daigle
Recall that last time, for an innitely dierentiable function f , we dened Taylor polynomials and the Tayl
Math 1d: Sequences and Series Week 5
California Institute of Technology
Winter 2014
Jay Daigle
1
Power Series
We left o last class with a discussion of the function, k=0 xk , which had a number of nic
Math 1d: Sequences and Series Week 4
California Institute of Technology
Winter 2014
Jay Daigle
We start this week by nishing our discussion of complex calculus. (Because last terms
calculus was so sim
Math 1d: Sequences and Series Week 3
California Institute of Technology
Winter 2014
Jay Daigle
1
Complex Numbers and Series
1.1
Complex Numbers
We often want to ask for the solution to a polynomial eq
Math 1d: Sequences and Series Week 2
California Institute of Technology
Winter 2014
Jay Daigle
1
Series of Positive Real Numbers
n
1
Example 1.1. Let an = k=0 k2 . We claim that limn an exists. Assumi
Math 1d: Sequences and Series Week 1
California Institute of Technology
Winter 2014
Jay Daigle
1
Sequences of Real Numbers
The rst section of this course will cover a mathematical object called a sequ
Math 1d
Instructor: Jay Daigle
Homework 7
Due Friday, 28 at noon
Caltech Winter 2014
Instructions
The rst problem is mandatory, and no collaboration is allowed. Be as clean as you can in
your writeup;
Math 1d
Instructor: Jay Daigle
Homework 6
Due Tuesday, February 18 at noon
Caltech Winter 2014
Instructions
The rst problem is mandatory, and no collaboration is allowed. Be as clean as you can in
you
Math 1d
Instructor: Jay Daigle
Homework 5
Due Tuesday, February 11 at noon
Caltech Winter 2014
Instructions
The rst problem is mandatory, and no collaboration is allowed. Be as clean as you can in
you
Math 1d
Instructor: Jay Daigle
Homework 4
Due Tuesday, February 4 at noon
Caltech Winter 2014
Instructions
The rst problem is mandatory, and no collaboration is allowed. Be as clean as you can in
your
Math 1d
Instructor: Jay Daigle
Homework 3
Due Tuesday, January 28 at noon
Caltech Winter 2014
Instructions
The rst problem is mandatory, and no collaboration is allowed. Be as clean as you can in
your
Math 1d
Instructor: Jay Daigle
Homework 2
Due Tuesday, January 21 at noon
Caltech Winter 2014
Instructions
The rst problem is mandatory, and no collaboration is allowed. Be as clean as you can in
your
Math 1d
Instructor: Jay Daigle
Homework 1
Due Tuesday, January 14 at noon
Caltech Winter 2014
Instructions
The rst problem is mandatory, and no collaboration is allowed. Be as clean as you can in
your
Math 1d
Instructor: Jay Daigle
Homework 1 Solutions
Caltech Winter 2014
Instructions
The rst problem is mandatory, and no collaboration is allowed. Be as clean as you can in
your writeup; but remember