The course develops the mathematical background for the analytical analysis of physical models involving linear algebra and ordinary and partial differential equations. This course provides the foundation for further study in applied mathematics and the numerical and analytical analysis of physical models. The course is aimed primarily at engineering graduate students.
Textbooks:
HW assignments
HW#1: Problem #5, pag. 19. HW#2:
Problems 1-3, 8 pag. 35. HW#3: Problem One: here,
Problems # 5,9,11, 12, pag. 59, and a last one
here. HW#4: Problems 1, 5, 6 pag. 94; sol. to Problem 1
here. HW#5:
Part 1, Part
Two. HW#6: here.HW#7:
two problems of choice + 3 ODEs handed out in class. HW#8:
Problems 1-10. HW#9: 0.1.1 : # 2,3,5; 0.1.2
: # 2,4;0.1.4 : # 1;0.1.5 : # 1-4; 0.2.2 : # 1;0.2.3
: # 1;0.2.4 : # 1;
HW#10: Pag. 33 : 4-6; Pag. 44: 4, 15 a)-d);
16:a,b;17:a,b,
HW#11: Pag. 96: 1-6, 7, Problem: solve equation (1.6.1)
with periodic boundary conditions; problem
5.4.2.
HW#12: pag. 108 (from Exercises2.1): pb: 1,2,11,12, pag.
120, pb.3 (from Exercises 2.2)
XCREDIT (Copyright M. Viele, B. Twitchell): plot
of the surface; Matlab code,
another plot.
.
. The take home final: (link here) pdf
or ps
or jpeg (pag1
and pag2)
.