Series

Course Description and Grading Breakdown

Topics

Convergence of sequences and series of real and complex numbers, sequences of functions, power series and Taylor expansions, Fourier series.

Grades

Based on weekly homework sets. There are no exams.

Optional Presentation

You may choose to give an optional 5-10 minute presentation during the last week of class. The topic can be a theorem or a result relevant to the course material which you find interesting; or you may talk about an application of something covered in class in another discipline. In return, your lowest homework grade will be dropped when calculating your final grade. If you choose to do this presentation, please notify me by February 1st.


Course Meeting Time and Location
Tuesday and Thursday    
9:00 - 9:55 am
387 Linde

Course Instructor Contact Information and Office Hours
375 Linde Hall


TA Contact Information and Office Hours
e-mail: xxiao at caltech.edu
Office Hours: 3-4pm Sundays and by appointment
Office Hours Location: 302 Linde Hall


Course Schedule and Textbook

Apostol, Tom M., Calculus, Volume 1, 1991, Wiley, ISBN:  0-471-00005-1.

 DateTopic 
  
  


Course Policies

Late work will not be accepted except for: 
1) Medical reasons (requiring a note from the Health Center) 
2) Serious personal difficulties (requiring a note from the Dean's Office)

Assignments

Homework problems will be assigned weekly and posted online. There will be a total of six homework sets. Each homework will have four problems. The first problem should be done on your own; you are welcome to collaborate on the last three. The problems assigned in a given week are due the following Monday at 4:00 PM. In your solutions, you may use results from class, from Apostol, or the results stated as problems already assigned. Be explicit about citations when using such results; e.g., state the theorem number or the exercise number. If you wish to use a theorem that was not stated in class, you must provide a proof or an explicit citation to a published textbook. In particular, online lecture notes and Wikipedia are not acceptable sources.

Each assignment will consist of four problems of equal value. The first problem is supposed to test your basic understanding and should be done on your own. You are welcome to collaborate on the last three. However, you must write up your own solutions independently.

Assignment Due Date  Solutions
 Homework 1 January 14thHW 1 Solutions
 Homework 2 January 22nd 
 Homework 3 January 28th 
 Homework 4  
 Homework 5  
 Homework 6  




Collaboration Table
 HomeworkExams
You may consult:  
Course textbook (including answers in the back)YESYES
Other booksYESNO
Solution manualsNONO
InternetYESNO
Your notes (taken in class)YESYES
Class notes of othersYESNO
Your hand copies of class notes of othersYESYES
Photocopies of class notes of othersYESNO
Electronic copies of class notes of othersYESNO
Course handoutsYESYES
Your returned homework / examsYESYES
Solutions to homework / exams (posted on webpage)YESYES
Homework / exams of previous yearsNONO
Solutions to homework / exams of previous yearsNONO
Emails from TAsYESNO
You may:

Discuss problems with othersYESNO
Look at communal materials while writing up solutionsYESNO
Look at individual written work of othersNONO
Post about problems onlineNONO
For computational aids, you may use:

CalculatorsYES*NO
ComputersYES*NO

* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work.  For example, "by Mathematica" is not an acceptable justification for deriving one equation from another.  Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them.

Ċ
Luciena Xiao,
Jan 14, 2019, 5:09 PM
Ċ
HW1.pdf
(97k)
Luciena Xiao,
Jan 10, 2019, 10:12 AM
Ċ
HW2.pdf
(102k)
Luciena Xiao,
Jan 15, 2019, 10:27 PM
Ċ
HW3.pdf
(106k)
Luciena Xiao,
Jan 17, 2019, 10:53 AM