Series

Course Description and Grading Breakdown

This is a course intended for those students in the special calculus-intensive section (Section 1) of Ma 1a who did not have infinite series, Taylor polynomials and complex numbers during Ma 1a.

Course Meeting Time and Location
Tuesday and Thursday
9:00 - 9:55 am
142 Keck Engineering Laboratory (KCK)

Course Instructor Contact Information and Office Hours
111 Math Building (Building 15)

TA Contact Information and Office Hours
2-O Math Building (Building 15)
Office Hours: Sunday 7-8pm, B111 Downs

Course Schedule and Textbook

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

Lecture Notes. (Updated weekly. The exercises in the notes are meant for you to think about and are not part of the homework.)

 Date
Description
 Week 1
 Sequences of real numbers, convergence theorems, completeness
 Week 2
 Series of real numbers, convergence tests
 Week 3
 Sequences and series of complex numbers, limits of complex functions
 Week 4
 Sequences of functions, convergence and uniform convergence
 Week 5
 Power series: examples and convergence, Taylor series
 Week 6
 Taylor approximation; complex exponentials
 Week 7
 Fourier series: examples and applications


Course Policies

Grades

Based on weekly homework. Your lowest homework score will be dropped and the remaining six will be averaged to calculate the final grade.

Homework Policy

Homework problems will be assigned weekly and posted online. The problems assigned in a given week are due the following Monday at 3:30 PM in the Ma 1d dropbox.

For privacy reasons, please staple a cover sheet to your assignments, meaning a sheet blank except for your name. Your score will be displayed behind the cover sheet when the homework is returned to you.

You may work together on the problems, but you must write up your solutions individually. 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.

Late Homework

You can get one extension for one homework set, no questions asked, if requested before the deadline. In all other circumstances you have to provide a letter from the Dean or from the Health Center.


Assignments

 Date PostedAssignment Due Date  Solutions
  Homework 1
 Tuesday, January 16 at 3:30pm
 Solution 1
  Homework 2
 Monday, January 22 at 3:30pm Solution 2
  Homework 3
 Monday, January 29 at 3:30pm Solution 3
  Homework 4
 Monday, February 5 at 3:30pm Solution 4
  Homework 5
 Monday, February 12 at 3:30pm Solution 5
  Homework 6
 Monday, February 19 at 3:30pm Solution 6
  Homework 7
 Monday, February 26 at 3:30pm Solution 7


Midterm and Final Exam


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.

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Luciena Xiao,
Jan 6, 2018, 10:04 AM
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Luciena Xiao,
Jan 15, 2018, 10:14 AM
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Luciena Xiao,
Jan 16, 2018, 5:03 PM
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Luciena Xiao,
Jan 15, 2018, 10:19 AM