Math 314 Lec A1: Analysis I (Fall 2012)

Instructor / Office / Phone #
Xinwei Yu / 527 CAB / (780)4925731
Email ;  Webpage ;
Location / Time / Office Hours
CAB235/ TR 2pm - 3:20pm / TR 3:30pm - 5:30pm  or by appointment

Course Information

A File of Grades
(Check your position in class.)
Meaning of last column: The difference between
the current highest overall mark and your overall mark.
To calculate your overall mark: Sum(best 5 homework)/5 + midterm/2.
Important dates.
  • Midterm (Temporary): Tuesday Oct. 23, 2012 in class.
  • Final (Temporary): Monday Dec. 10, 2012 2pm.
  • Deferred exam: Saturday Jan. 12, 2012 9am. CAB357
    • Requires approval from your Faculty Office.
    • Must meet outside CAB 357 at 8:30am to register.
Download course syllabus.

Course Material

Lecture Notes (Sections)
Sept. 6 - 13
Preparation: Logic, Sets, Functions (Updated)
HW1 (due Sept. 20) (Sol)
Sept. 18 - 25
Real Numbers (Updated)
HW2 (due Oct. 4) (Sol)
Sept. 27 - Oct. 4
Sets in R (Updated)
HW3 (due Oct. 11) (Sol)
Oct. 9 - 16
Continuity of Functions (Updated)
HW4 (due Nov. 2 ) (Sol)

Midterm Practice Problems (Solutions (Updated)); Midterm Review

Midterm Solutions

Oct. 25 - Nov. 1
Differentiation (Updated)
HW5 (due Nov. 9) (Sol)
Nov. 6 - 15
Integration (Updated)
HW6 (due Nov. 22) (Sol)
Nov. 20 - 29
Infinite Series (Updated)
HW7 (due Nov. 30) (Sol)

Final Review

Final Practice Problems (Solutions)

Other Possibly Useful Stuff
  • Exams from Math 314 Fall 2011: Midterm, Final.
  • Books: These books are good help for your study. They are not textbooks for the course. Meaning: You should not write things like "due to Theorem XX.XX in XX book, we have ...". If you have to quote, quote lecture notes.
    • Introduction to Analysis, Wade,

    • A First Course in Real Analysis by M. H. Protter and C. B. Morrey.

    • Basic Elements of Real Analysis by M. H. Protter.
    • Elementary Analysis by K. A. Ross.
    • From Calculus to Analysis by R. B. Schinazi.
    • Introduction to Calculus and Classical Analysis by O. Hijab.
    • Introduction to Real Analysis by W. F. Trench.
    • Principles of Mathematical Analysis by Walter Rudin.
    • Real Analysis by F. Morgan.
    • Real Analysis and Foundations by S. G. Krantz.
    • The Way of Analysis by R. S. Strichartz.
    • Undergraduate Analysis by S. Lang.
    • Understanding Analysis by S. Abbott.
    • Math 131A Notes by Terry Tao. Available online at
  •  Tips about collaboration on homeworks.

    (1)   Do not write down something that you cannot explain to your TA or instructor.

    (2)   When you are helping other students, avoid showing them your work directly.  Instead, explain your solution verbally.  Students whose work is copied also receive academic sanctions.

    (3)   If you find yourself reading another student's solution, do not write anything down.  Once you understand how to solve the problem, remove the other person's work from your sight and then write up the solution to the question yourself.  Looking back and forth between someone else's paper and your own paper is almost certainly copying and will result in academic sanctions for both you and your fellow student.

    (4)   If the instructor or TA writes down part of a solution in order to help explain it to you or the class, you cannot copy it and hand it in for credit.  Treat it the same way you would treat another student's work with respect to copying, that is, remove the explanation from your sight and then write up the solution yourself.

    (5)   There is often more than one way to solve a problem.  Choose the method that makes the most sense to you rather than the method that other students happen to use.  If none of the ideas in your solution are your own, there is a good chance it will be flagged as copying.

    Also see the following link “Collaborating on Assignments” link on the Truth in Education website (
  • When studying analysis,
    usually leads to better/deeper understanding than