ENGR 695
Advanced Topics in Engineering Mathematics

Fall 2023

HOMEWORK ASSIGNMENTS

Homework Assignments
AssignmentDeadlineNotes
HW #1 via Moodle at 11:59 pm
Thurs., Sept. 21
revised 9/20/23
HW #2 via Moodle at 11:59 pm
Fri., Sept. 29
 
HW #3 via Moodle at 11:59 pm
Fri., Oct. 6
revised 10/4/23
HW #4 via Moodle at 11:59 pm
Fri., Oct. 27
revised 10/26/23
HW #5 via Moodle at 11:59 pm
Thurs., Nov. 2
revised 11/1/23; Selected Answers
HW #6 via Moodle at 11:59 pm
Fri., Nov. 10
Selected Answers
HW #7 via Moodle at 11:59 pm
Fri., Nov. 17
Selected Answers
HW #8 via Moodle at 11:59 pm
Fri., Dec. 1
revised 5:30 pm 12/1/23;
Selected Answers (revised 5:45 pm 12/1/23)

Click on the assignment number to download a PDF copy of the assignment.

Reading Assignments
Week Of Textbook Sections Notes
Aug. 21–25 7.1–7.3, 8.1–8.3, 8.6 Chap. 7 readings mostly for review.
Aug. 28–Sep. 1 8.2, 8.3, 8.6, 8.16  
Sep. 4–8 8.4, 8.5, 8.16, 8.8 Secs. 8.4 & 8.5 mostly for background & review.
Sep. 11–15 8.8–8.12, Supp. 1
1: "Constrained Least-Squares Optimization Using Minimized Coefficient Magnitudes"; Skim Secs. 8.9 and 8.11
Sep. 18–22 8.10–8.13, Supps. 1–3
Skim Sec. 8.11
Mathworks Help Center documentation on factorizations
2: SVD readings from Numerical Recipes in C
3: "The Fundamental Theorem of Linear Algebra" (optional)
Sep. 25–29 Chap. 1, 2.1–2.5
3.1, 3.3, 3.6, 3.8, 3.9
7.6
Skim Chaps. 1 & 2 (mostly for review).
Selected parts of Chap. 3 covered in lectures.
Sec. 7.6 is an important review of vector spaces.
Oct. 2–6 Chap. 5, Supps. 4 & 5
12.1, 12.2
Skim Secs. 5.1 & 5.2
4: "Series Solution Method for ODEs"
5: "Meet the Bessels"
Oct. 9–13 12.1–12.3, 12.5 [no class or lab on Oct. 9]
Oct. 16–20 12.1–12.3, 12.5,
Supp. 6
[Midterm Exam Oct. 16];
6: "Sturm-Liouville Problems: Eigenfunction Orthogonality" (optional)
Oct. 23–27 Secs. 13.1–13.4  
Oct. 30–Nov. 3 13.4, 13.5  
Nov. 6–10 14.2, Supp. 7, 6.5, 16.2 7: "D'Alembert's Solution of the 1-D Wave Equation Problem in Unbounded Media";
Read Sec. 6.5 up to first example.
Nov. 13–17 16.3, Supp. 8 8: "Open Boundaries in the Finite Difference Solution of the 1-D Wave Equation"
Nov. 27–Dec. 1 16.2, Supp. 9 9: "Neumann Boundary Conditions in the Explicit Finite Difference Solution of the 1-D Heat Equation"
Dec. 4 [No new reading]

Notes:

  • The section numbers specified above refer to the 6th edition of the textbook by D. G. Zill.
  • All supplemental readings are available at the course Moodle site.
 

Site maintained by:
Associate Professor David F. Kelley
Electrical & Computer Engineering Department, Bucknell University, Lewisburg, Pennsylvania, USA
e-mail: dkelley AT bucknell DOT edu

Updated: December 3, 2023

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