Download Exam Sample Test Problems - Advance Math Engineers and Scientists | MAT 362 and more Exams Mathematics in PDF only on Docsity!
MAT 362 Advanced Math for Scientists and Engineers Sample test problems September 17, 200 The format, difieulty, and style af the questiqas on the test will be similar ta the saayples provided bere, but the achal teat will be a little shorter. Ik in suggested that you review all material af the clam hefare working the problema bere prepare as if thin aamplewan the real tent, and then tke this sample-test within a dixed time frame in an enviranment without distractions ‘You are strongly enecuraged to use the avallahle anfhware (MAPLE and MATLAD), bt you may ant uns the intarmat cammection ta omtact anyone for help. Gn Thesday in class we shall denide where ta draw the line betmwen uring the internet: th lode up a furmula, using peremal warlsbests and/ar thas used in clam, and dawaloading other anfiware that automatically aalwa the test pro blecn, Since the software allows yom to instantaneously sheds yor calenlations for cerrestnens, there will be little ar na partial erelit annrded tia ineorrent calenlatinnn. In order ta eam any eredit pon most show pr work, whether thin conrista af hand-caloilations or af campnter-work, Saws yr work often, and provide swdected printats where mui table, Be Let f be thefunstion defined by f(t) = 1—e for 0 St < J and extonded perindically (ia fim + #) = (2) for any integue m and ()
8, Derive the standard farmulas for the Euler eoeificienta ey (ar the ccvdicient ay and By) ik suffices ta precisely dencribe the main steps and write very dew formulas Bomus: Point ent where orthagenndity oomea to play in an easential rola Bomua: Sketch an argument that yields Deemel's inequality. fla Dows a function f barw in he differentiable, ar enmfiznas in arder ta Aram a Fourier series? b, I an mare than tac paragraphn deneribe the enuvergenes af m-th order Frrier approximation Fi, (n=0,1,2,...) ofafimotion f. Dinenss both quantitate (mmmerieal) maneuren af the gandnaas qf xn approximation, and graphical painta of view. Driefly describe the canvenginee at / maar jump discontinuities of the finotion f(2) 4, Gonsider the thres functions f, g, and A defined by: f@=F-liro ses. a) = 2-10 
