Math 425 & 575, Fundamental Concepts of Analysis II (3 credits)
Winter 2007

• Office : Padelford C-328
• Office Phone : (206) 685-1307
• E-mail : solomyak at math dot washington dot edu
• Office Hours : Tuesdays 9:30-11:30 in C-36, Thursdays 1:30-2:20 in C-328, or by appointment

• Office : Padelford C-435
• E-mail : holmansf at math dot washington dot edu
• Office Hours : Tuesdays 2-4 (starting Jan 23)

Course Information

• Lecture : MWF 11:30-12:20, LOW 201
• Topics to be covered : We will cover 4.22-4.23 and Chapters 5, 12 and 13 in Apostol's "Mathematical Analysis," Second Edition. The sections dealing with complex numbers will be omitted. This quarter's material is less abstract than that of Math 424/574; it is a rigorous proof-based study of differential calculus, in one and several variables. There will be more "hard analysis" and working with formulas and inequalities.
• Prerequisites : at least 2.0 in MATH 424/574 or Instructor's permission.
• Homeworks (20% of overall grade) Weekly homework will be assigned due on Wednesdays in class. No late homeworks will be accepted. The TA will typically grade only 2-3 problems from each homework assignment.
• Exams (80% of overall grade):
  • Test I (20% of overall grade) : Friday, February 2, in class.
  • Test II (20% of overall grade) : Friday, February 23 --- Friday, March 2, take-home exam.
  • Final Exam (40% of overall grade): 2:30-4:20 p.m. Wednesday, March 14, in the usual classroom

• Syllabus

Homework Assignments

• Homework 1 (due Wed, Jan 10)

• Homework 2 (due Wed, Jan 17)

• Homework 3 (due Wed, Jan 24)

• Extra credit homework 1

• Homework 4 (due Wed, Jan 31)

• Extra credit homework 2 (due Fri, Feb 9)

• Homework 5 (due Wed, Feb 14)

• Homework 6 (due Fri, Feb 23)

• Homework 7 (due Fri, March 9)

• Multivariable Taylor's formula

• On local invertibility