MA 527 Advanced Mathematics for Engineers and Physicists I

Textbook

Advanced Engineering Mathematics 10th ed., E. Kreyszig (2011) Wiley


The schedule for recording lectures

MTWThF 11:00 am - 12:00 pm

The Syllabus of MA 527

Webpages

Bonus problems

Problem due to 11:00pm July 2 (Tue) in the Eastern time: Make one PDF file and submit your bonus problem to the Brightspace.

Midterm Exam

Exam schedule: From 8:00pm (Eastern time), July 11 (Thu) to 8:00pm, July 13 (Sat)

The test will cover chapter 7, 8, 4, 6; (Online test)

The midterm exam will be posted on the Brightspace. Once you begin, you can work on the problems for two hours.

-- The answers of even-numbered homework Problems

-- More examples which were not covered in class.

-- Practice test is posted.

-- Table and formulas of Laplace transform

Final Exams

Exam schedule: comprehensive test (chapter 7, 8, 4, 6, 11, 12)

-- Practice test for the final exam: from problem 11 to 20 for chapter 11 and 12.

-- Practice test of Dr. Bell with -- the solutions

Slides

slide 1 in pdf file; slide 1 in power point file,

slide 2 in pdf file; slide 2 in power point file.

slide 3 for vector spaces

Homework:

The schedule can be changed. Please check the list frequently.

HW 1 (due to 11:59pm, June 16 (Sun)): (sec 7.1: p.261) 9, 12, 13; (sec 7.2: p.271) 12, 14, 17, 29; (sec 7.3: p.280) 3, 9, 18; (sec 7.4, 7.5, 7.6: p.287) 1, 2, 5, 7, 9, 12, 14, 15, 17, 32, 34;

HW 2 (due to 11:59pm, June 23 (Sun)): (sec 7.7: p.300) 4, 7, 12, 22; (sec 7.8: p.308) 2, 5, 20; (sec 7.9: p.318) 3, 4, 6, 9, 12, 22; (sec 8.1: p.329) 4, 11, 12, 24; (sec 8.3: p.338) 3, 6, 8; (sec 8.5: p.351) 1, 2, 5, 13;

HW 3 (due to 11:59pm, June 30 (Sun))): #1 in sec 8.4 has a typo. So the correct statement: Let B = P^(-1) A P. If y is an eigen vector of B, then show the detail that x = Py is an eigen vector of A.

HW 3: (sec 8.4: p.345) 1, 9, 10, 24, 25; (sec 4.1, 4.2: p.136) 5, 7, 12; (sec 4.3: p.147) 3, 13, 18; (Sec 4.4: p.151) 3, 5, 7, 11;

HW 4 (due to 11:59pm, July 7 (Sun)): (sec 4.5: p.159) 4, 7, 11; (sec 4.6: p.163) 3, 11; (sec 6.1: p.210) 1, 2, 5, 13, 14, 23, 30, 32; (sec 6.2: p.216) 4, 5, 17, 19, 26;

HW 5 (due to 11:59pm, July 14 (Sun)): (Sec 6.3: p.223) 6, 10, 13, 16, 25, 39; (Sec 6.4: p.230) 3, 10, 14 a,b; (sec 6.5: p.237) 7, 8, 23; (sec 6.6: p.241) 3, 8, 10, 16; (Sec 6.7: p.246) 3, 12;

HW 6 (due to 11:59pm, July 21 (Sun)): (Sec 11.1: p.482) 12, 14, 18; (sec 11.2: p.490) 11, 20, 24, 29; (sec 11.3: p.494) 2, 6; (sec 11.4: p.498) 8, 11, 12; (sec 11.5: p.503) 5, 7, 13; (sec 11.6: p.509) 1, 3, 5;

HW 7 (due to 11:59pm, July 28 (Sun)): (Sec 11.7: p.517) 1, 11, 18; (Sec 11.8: p.522) 1, 2, 3, 5; (sec 11.9: p.532) 3, 4, 7; (sec 12.1, 12.2: p.542) 2, 8, 10, 19; (Sec 12.3: p.551) 11, 15, 16; (Sec 12.4: p.556) 8, 19;

HW 8 (I won't collect these assignment) (Sec 12.6: p.566) 7, 10, 11, 18, 21;

#11 (sec 12.6): An can be computed by using equation (12) & (13) in page 563 (sec 12.6).

(Sec 12.7: p.574) 2, 3, 4, 5; (Sec 12.9: p.584) 4, 5, 7, 18; (Sec 12.10: p.591) 4a, 4b, 4c; (Sec 12.12: p.602) 5;