Homepage for Math 311-501, Topics in Applied Mathematics I (Spring 2012).

Syllabus

Weekly course outline (approximate).

Grader : Abdel-Raziq, Haron M.

Homework Assignments:

Assignment 1 (due 1/24).  P.11, #1 (a,b,c), #2, #5, #6 (a,d,f).
Assignment 2 (due 1/31). (show all work)
             P.29, #2, #5(a,b,c,d,e), #9,#10.
             P.64 #12,
             P.65, Compute the inverses of the matrices A of problem
                   #14 (if they exist).
             P.64, #1-#9 (Not to be turned in, do enough of each until
                   you are sure that you know how to do them).
Assignment 3 (due 2/7) (show all work).
             P.106: #6.
             P.132: #10, #13, #14.
             P.142: #6, #10(a,c), #4 (b), #14(a,c).
         Not turned in:
             P.106: #2, #3
             P.142: #1-#3, #4(a,c,d), #5(a,c,d), #8, #10(b,d,e), #11. 
Assignment 4 (due 2/14) (show all work).
             P.155, #2(a,b), #4(a,c), #6(a,b).
             P.161, #3, #7, #8, #10.
         Not turned in:
             P.161, #1, #2, #10, #14, #15.
Assignment 5 (due 2/23) (Show all work)
             P. 173, #1,#2,#6.
             P. 180, #1.
             P. 161, #10:  Form the 3x5 matrix using the vectors as
               columns and apply the algorithm which generates a basis
               for the column space (from the original vectors).
Assignment 6 (due 3/1):  P. 197, #3, #5, #9, #15, #16.
             P. 208, #2.
Assignment 7 (due 3/8):  P.238, #3, P.248, #1, #2, #4, #9.
Assignment 8 (due 3/20): P.258, #1 (a),(c), #5.
             P.286, #1, #2, #3, #7.
Assignment 9 (due 3/27) P.323, #1 (a,d,f,g,h,j).  In all cases, state 
              whether the matrix is diagonalizable.  If the matrix,
              denoted by A, is diagonalizable, write down the 
              similarity matrix M which satisfies M^{-1} A M = D.  
              Do also, #4,#6,#7.
Assignment 10 (PART II of the Text) (due 4/5)  P.318, #2,#3,#4,#5,#12,#22.
Assignment 11 (Due 4/12) P.354, #1,#2,#3,#8,#9,#10,#21,#24,#25.
Assignment 12 (Due 4/19) P.389, #1,#2,#3,#6,#7,#8.
Assignment 13 (Due 4/26) P.398, #1,#2,#10, P.409, #2,#3,#4,#5.

Study guides: