MATH 415 – Analysis II
Syllabus/Course Outline1 – Spring 2015
Instructor
Dr. Kristopher Lee – Carver 445 – (515) 294-0259 – leekm@iastate.edu
Office Hours
MF @ 1–2 PM, TR @ 11–12 PM, W @ 12–1 PM (or by appointment)
Time and Locations
Lecture will be on MWF @ 11:00–11:50 in Carver 0004
Course Text
Calculus on Manifolds by Michael Spivak
Course Description (from the ISU Catalog)
Sequences and series of functions of a real variable, uniform convergence, power series and Taylor
series, Fourier series, topology of n-dimensional space, implicit function theorem, calculus of the
plane and 3-dimensional space. Additional topics may include metric spaces or Stieltjes or Lebesgue
integration.
Grading Policy
Your grade will be computed as follows:
Assessment
Homework
Participation
Take Home Final
Total Percentage
60%
30%
10%
Letter grades will be assigned at the instructor’s discretion.
Homework:
Homework problems from the textbook will be posted on Blackboard Learn. Typically, these will
be assigned on Friday and will be due the following Wednesday.
Participation:
This course will be ran as a hybrid lecture/inquiry based course. As such, a significant component
of your grade will be based on class time participation. There are two components to the grade:
packet and ICP/question.
1
This document is subject to adjustment by the instructor, with notice given to the students.
Packet – At the begging of the week, you will receive a packet that will act as our guide for that
weeks material. We will work out of the packet, and it is your responsibility to complete the packet
in full, which includes any material that we did not necessarily get to complete in class.
You will submit these to the instructor, and one of the proofs will be selected for grading.
This will be worth half of your participation grade.
ICP/Question – Typically, each day will have a student ICP (in class proof), and doing so will
award you 2 points. After a student presents their work, the other students will then ask questions
and critique the proof. Asking a relevant question will award you 1 point. A running total of the
points you earned will be kept on Blackboard, and this will be worth the other half of your
participation grade. To receive full credit, you must earn at least 3 points, i.e. the equivalent
of doing one ICP and asking one question.
Take Home Final:
We will have a take home final, which will have two components: a written portion and a presented
portion. More details on this as we get closer to the end of the semester.
Disabilities:
If you have a documented disability that requires assistance, you will need to go to the Disability
Resource (DR) Office for coordination of your academic accommodations. The DR is located in
the Student Services Building, Room 1076. Their phone number is 515-294-6624. No retroactive
accommodations will be provided in this class.
Conduct and General Class Policies:
I expect all students to behave in a respectful manner during lecture, and you will be asked to
leave the lecture if you are being inappropriate and/or disruptive. Since there will be student
participation, I take this policy very seriously.
Late homework, packets, and the take home final will not be accepted, unless extenuating
circumstances prevent you from submitting your work.
For more information regarding academic regulations, see the Class Policies, which is provided by
the Department of Mathematics.
Course Schedule
Covered Material
Functions on Euclidean Space
Differentiation
Integration
Integration on Chains
Integration on Manifolds
Approximate Time
1–2 Weeks
3–4 Weeks
2–3 Weeks
3–4 Weeks
2–3 Weeks
We will not have class on the following days: 1/19, 2/27, and 3/16–3/20 (Spring Break)