MAT 303 - Summer 2003

Announcements - Assignments - Links




Homework


Weekly a set of homework will be posted here usually by Monday each week. There are also computation projects which may be posted and described in what follows. You don't have to hand in the homeworks, although one or two questions of each set of the homeworks will be used for the quizz the next Monday. Please observe that problem numbers and page numbers refer to the current second editon of our text, which differ from those in the earlier edition.

For the week of: Sections (Pages) Problems
Jun 2


 1.1 (pp9-10) 12,14,20,31,34,40
1.2 (pp17-18) 10,17,21,25
1.3 (p25-27) 2,16,23,24,35
1.4 (pp40-43) 2,12,28,32,46,54
1.5 (pp52-55) 2,12,18,28,36
1.6 (pp69-71) 6,14,17,22,31,38,51-52
Jun 9
2.1 (pp84-85) 2,9,14,20
2.2 (pp93-94) 1,9,13,14
2.3 (pp113-114) 2,3,10,22,24
2.4 (pp103-105) 2,6
2.5 (pp124) 2,6
2.6 (pp135) 6
Jun 16
3.1 (pp152-153) 6,20,26,36,40,50
3.2 (pp165-167) 2,8,18,24,30
3.3 (pp178-179) 4,6,24,32,34,40,48
Jun 23
3.4 (pp188-191) 2,10
3.5 (pp204-205) 2,12,24,30,38,52,54
Jun 30
7.1 (pp454-456) 10,14,20,29,32
7.2 (pp466-468) 4,8,10,21,22,27
7.3 (pp476-477) 4,7,17,18,28,37
7.5 (pp498-499) 4,6,7,20
Jul 7
4.1 (pp251-253) 2,8,18,26
4.2 (pp264-265) 4,14,23,34



Computing Projects
These Computing Projects are parts of the course. Some of them are optional and help you to work with the programs. You should do the rest print out the result and hand it in class by the due date.

Computing Project 1: Do the problem as formulated on page 28 for the differential equation of Example 3. In particular, plot the slope field and in it the five solutions with initial data y(0)=-2,-1,0,2,6. Print out the graphical picture. If you don't have other preferences, use MAPLE and the DEplot or the phaseportrait function in DEtools.     Optional

Computing Project 2: (pp43-44)Do all three parts (a)(b)(c) of the Investigation. Use MAPLE to plot and print the direction field and some solutions curves in (a).     Due 06/12

Computing Project 3: (pp71-73)Explore the MAPLE function dsolve and use it to solve Problems (p74)32,34,35 in symbolic general form. Print out and turn in the command lines together with MAPLE's solutions.     Due 06/19

Computing Project 4: Explore MAPLE's linalg package and the functions evalm, inverse( ), and det( ). Solve and print out all parts of Problem 5 on (p302). Also let MAPLE find the determinants det(A), det(B), det(AB), and det(A-tI), as well as the inverse matrices inverse(A), inverse(B). Compare with your answers in Problem 8 on (p302). Finally, use the linsolve function under with(linalg) to find the solution vector x of the linear system Ax=b, where b is the transposed column vector of the row (1,-7,5).     Due 07/11 for extra credit




Some Useful Links

Mathematics Department (General reference)
Undergraduate Resources
Mathematics courses
Calculus Resource Room (Mathematics Learning Center)
Calculator Programs

MAPLE Pages (Prepared by Stewart Mandell) Some elementary numerical and graphical examples (from our course MAT 126 last Spring). They should help getting a first feel for MAPLE.

MAPLE at Penn These pages present very useful and informative material on MAPLE. They are used by the Undergraduate Program of the University of Pennsylvania, in fact already in early calculus courses.