Winter-Spring 2019
The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.~Aristotle.
Course Description
Functional Analysis (MATH PMC401) is a one semester, upper-level module that emphasizes the analysis of linear spaces and operators. Course credit are 3.0. The details are given in the Course Policies.
Instructor: Dr. Paramjeet Singh.
Lectures Time and Place: Tuesday at 10:00, Wednesday at 09:00, and Friday at 10:00 in G 319.
Assignments: Students are advised to study regularly and expected to solve the the assignments (also given at the end of the lecture notes)
An Advise to develop good study habits can be found here.
You should check this page daily and begin working the assignments immediately after they are posted.
You are expected to do all assigned problems. You may need to do additional problems for practice.
You are expected to read the textbook as we cover the material.
Lecture Notes: chap1 chap2 chap3 chap4
Assignments:
Examinations:
Mid-Term Exam: One written Mid Term Exam will be held in March having weight 30%.
End-Term Exam: The End Term exam will be at the end of the semester in May having weight 50%.
Homework and Projects: This component has weight 20%. Homework must be submitted within the time limit and with at most academic honesty.
Announcements:
(May 20, 2019) Students can check their answer booklet of End-Term Examination on Friday, May 24, 2019 at 11:00 AM in my office G 211. The students are advised to read the Sol_ESE carefully with the distribution of marks.
(Appril 23, 2019) Fourth Internal Test (Quiz) will be conducted on May 01, 2019 (Wednesday). Syllabus for the test will be: Hilbert Spaces. THERE WILL BE NO MAKE-UP FOR THE TEST.
(April 09, 2019) Third Internal Test (Quiz) will be conducted on April 10, 2019 (Wednesday). Syllabus for the test will be: Linear Operators and Functional including Banach fixed point theorem. THERE WILL BE NO MAKE-UP FOR THE TEST.
(March 15, 2019) Students can check their answer booklet of Mid-Term Examination on Friday, March 18, 2019 at 1:00 PM in my office G 211. The students are advised to read the Sol_MSE carefully with the distribution of marks.
(February 26, 2019) Second Internal Test (Quiz) will be conducted on February 28, 2019 (Thursday). Syllabus for the test will be: Normed and Banach Spaces. THERE WILL BE NO MAKE-UP FOR THE TEST.
(February 22, 2019) First Internal Test (Quiz) will be conducted on February 26, 2019 (Tuesday). Syllabus for the test will be: Review of Metric Spaces.THERE WILL BE NO MAKE-UP FOR THE TEST.
Solution of Mid-Term Examination: see later.
Meetings: Students can meet me in my office in G 211. Please make appointments at singh.pparam@gmail.com and see my schedule on the URL of another course which I am teaching in the current semester.