Semester: Spring 2020
Course:  Introduction to Applied Mathematical Methods II
Course code: ACMS 20750

Course information and Syllabus

Textbook:
Mathematical Methods in the Physical Sciences, third edition by Mary L. Boas. ISBN-13: 978-0-471-19826-0. Copyright 2006 John Wiley & Sons, Inc.

Note: If you do not purchase your textbooks at our university bookstore, it is your responsibility to make sure you have the correct textbooks.

Class time and place:
      -  Section 01: Mon Wed & Fri 11:30am - 12:20pm, DBRT118 (Lecture).
      -  Section 02: Mon Wed & Fri 10:30am - 11:20am, DBRT116 (Lecture).
Lecture Instructor:  Yongtao Zhang
E-mail:  yzhang10@nd.edu
Office location: Hurley Hall 176
Office phone: (574) 631-6079 
Office hours: Mondays, 2:30pm - 3:30pm, or by appointment.

Teaching Assistants and Tutorial Sessions: You are required to attend the tutorial you signed-up for.

• Lauren Hensley-Partin (lhensley@nd.edu), Tutorial I: Tue, 11:00am - 11:50am, Hayes Healy 117.
  
• Xiaozhi Zhu (xzhu4@nd.edu), Tutorial II: Tue, 12:30pm - 1:20pm, Pasquerilla Center 107; Tutorial III: Tue, 2:00pm - 2:50pm, Pasquerilla Center 107.

Exam Dates:

• Midterm 1: Feb 28, in-class exam.
• Midterm 2: Apr 08, in-class exam.
• Final Exam: (1) Section 01: Mon, May 04, 4:15pm - 6:15pm; (2) Section 02: Thur, May 07, 4:15pm - 6:15pm.

Homework assignments: (ignore all computer questions in the homework assignments)

Set 1: (Due Jan 21)

• Jan 15, page 394, sec1: 1, 2, 3;
• Jan 17, page 394, sec1: 4, 5; page 398, sec2: 1, 5. (ignore the computer plot questions)

Set 2: (Due Jan 28)

• Jan 22, page 398, sec2: 2, 4, 6, 7, 8, 9, 10, 11, 12; (ignore the computer plot questions)
• Jan 24, page 400, sec2: 27; page 403, sec3: 1, 2, 3, 4, 7; (ignore the computer solution questions)

Set 3: (Due Feb 04)

• Jan 27, page 406, sec4: 1, 2, 16. (ignore the computer solutions question)
• Jan 29, page 414, sec5: 1, 2, 8, 10, 11, 12; (ignore computer question. Note for problem 11, it should be 4y''+12y'+9y=0)
• Jan 31, page 414, sec5: 3, 6, 9, (ignore computer question); page 415, problem 21 (only do the case that a, b, c are different, and ignore the question "generalize the result to high-order equations").

Set 4: (Due Feb 11)

• Feb 03, page 422, sec6: 1, 2. (ignore computer question)
• Feb 05, page 422, sec6: 3, 4, 6, 7, 8, 9, 10; (ignore computer question)
• Feb 07, page 422, sec6: 5, 11, 12, 13, 17, 18; (ignore computer question)

Set 5: (Due Feb 18)

• Feb 10, page 423, sec6: 20, 21, 23, 25. (ignore computer question)
• Feb 12, page 429, sec6: 33, 34, 36, 38;
• Feb 14, page 438, sec8: 2, 3, 4, 5;

Set 6: (Due Feb 25)

• Feb 17, page 442, sec9: 2, 3, 4, 5, 6, 7.
• Feb 19, page 448, sec10: 3, 4, 5, 14, 15.
• Feb 21, page 448, sec10: 9, 10, 11.
  

Set 7: (Due Mar 17)  

• Mar 02, page 540, sec3: 2, 4, 6, 7, 8, 9, 10, 11. (ignore computer question)
• Mar 04, page 543, sec6: 2; page 544, sec7: 3, 4, 5, 7; (skip computer question)
• Mar 06, page 564, sec1: 1, 2, 3; (skip computer question)

Spring break: Mar 09 - Mar 13.

Set 8: (Due Mar 24)

• Mar 16, page 564, sec1: 4, 5, 6, 7, 8. (just do the question: "solve the ODEs by series method")
• Mar 18, page 568, sec3: 2, 3, 4, 5;
• Mar 20, page 569: 3 (skip computer question); page 573: 3; page 577: 3; page 580, sec8: 1, 2, 3;

Set 9: (Due Mar 31)

• Mar 23, page 581, sec9: 1, 2, 3, 5.
• Mar 25, page 586, sec11: 2, 3, 4;
• Mar 27, page 586, sec11: 6; page 587, sec11: 12.

Set 10: (Due Apr 07)

• Mar 30, page 594, sec16: 2, 3, 4, 5, 6, 7.
• Apr 01 & 03, page 626, sec2:  1, 3, 4.

Set 11: (Due Apr 21)

• Apr 15, page 632, sec3: 2;
• Apr 17, page 667, sec1: 1, 2, 3, 4, 5, 6, 7, 9, 11, 12, 15, 16;

Set 12: (Due Apr 28, NOT collected)

• Apr 20, 22 & 24, page 672, sec2: 1, 2, 3, 4, 5, 6, 7, 9, 11, 12, 15, 16, 22, 24; page 674, sec2: 54, 55.