Advanced Calculus for Engineers [Math 421](Section 2), Fall 2024 (Rutgers U. (NB))

http://sites.math.rutgers.edu/~zeilberg/math421_24.html

Last Update: Dec. 23, 2024

Text: Advanced Engineering Mathematics by Dennis G. Zill and Warren S. Wright (publisher: Jones and Bartlett).
[Recommended but not required, we will use lecture notes and internet links]
Teacher: Dr. Doron ZEILBERGER ("Dr. Z") , Email: Calc5DrZ@gmail.com [ONLY FOR THIS CLASS]
Place and Time: SEC 117, MTh, period 2 (10:20-11:40pm).
TA at large: Mr. Qidong He, qh97@math.rutgers.edu
Dr. Z.'s Office Hours: MTh 12:01-1:01pm at Hill 704
Mr. He's Office Hours: TW 1020-1140, [both in person] at Hill 636.
Grader: Mr. Ryan Mc Gowan, rmm396@scarletmail.rutgers.edu
Dr. Z.'s Class Policy
cheatsheet, that you may use in exams and quizzes.
Answers to the homework problems (when applicable)

Added Oct, 21, 2024: Volunteer to be a mentor or mentee, See the page Peer Mentor

Lecture Schedule [and Homework]

Thur. Sept. 5: Review of Calcs 1-4
Here is the attendance quiz and here are the full solutions.
Mon. Sept. 9: Lecture 0; section 16.1;homework 0 (due Sunday Sept. 15, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw0.pdf)
Here is the attendance quiz and here are the full solutions.
Thur. Sept. 12: Lecture 1; section 4.1; homework 1 (due Sunday Sept. 15, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw1.pdf)
recommended reading for lectures 1-6: wiki Professor Bumby's essay
Here is the attendance quiz and here are the full solutions.
Mon. Sept. 16: Lecture 2; section 4.2; homework 2 (due Sunday Sept. 22, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw2.pdf)
Here is the attendance quiz and here are the full solutions.
Thu. Sept. 19: Lecture 3; section 4.3; homework 3 (due Sunday Sept. 22, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw3.pdf)
[Quiz 1 on Lectures 0 and 1]
Here is the attendance quiz and here are the full solutions.
Here is the real quiz 1, and are the solutions to real quiz 1
average=8.58
Mon. Sept. 23: Lecture 4; section 4.4; homework 4 (due Sunday Sept. 29, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw4.pdf)
Here is the attendance quiz and here are the full solutions.
Thur. Sept. 26: Lecture 5; section 4.5 ; homework 5 (due Sunday Sept. 29, 8:00pm, Email calc5DrZ5@gmail.com with attachment LastFirstHw5.pdf)
[Quiz 2, on Lectures 2 and 3]
Here is the attendance quiz and here are the full solutions.
Here is the real quiz 2 , and are the solutions to quiz2
average=6.32
Mon. Sept. 30: Lecture 6; section 4.6 ; homework 6 (due Sunday Oct. 6, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw6.pdf)
Here is the attendance quiz and here are the full solutions.
Thur. Oct. 3: Guest Lecturer: Mr. Qidong He
Linear Algebra refresher; LA homework (due Sunday Oct. 6, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHwLA.pdf)
[Quiz 3, on Lectures 4 and 5]
Here is the attendance quiz and here are the full solutions.
Here is the real quiz 3, and are the solutions to quiz 3
Mon. Oct. 7: Lecture 7; section 12.1 ; homework 7 (due Sunday Oct. 13, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw7.pdf)
recommended reading: mathworld wiki
Here is the attendance quiz and here are the full solutions.

recording of remote review session, Oct. 8, 2024, 7:00-8:30pm
Thur. Oct. 10: Midterm Exam 1 (On Lectures 0-6 and Linear Algebra lecture)
Here is Exam 1, and are the solutions to Exam 1
average=75.3 [statistics]
You are welcome to join the Second Chance Club for Exam 1
Mon. Oct. 14: Lecture 8; section 12.2 ; homework 8 (due Sunday Oct. 20, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw8.pdf)
recommended reading: mathworld wiki Prof. Bumby's essay
Here is the original attendance quiz and here are the full solutions of the original.
[In class I changed the interval from (-2Pi,2Pi) to the standard (-Pi,Pi), but the original version is more instructive since it also tells you are to move from any symmetric interval fo the standard one, namely (-Pi,Pi) when you do Fourier Series.
Thur. Oct. 17: VIRTUAL CLASS, via WebEx, invitations were sent.
Lecture 9; section 12.3 ; homework 9 (due Sunday Oct. 20, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw9.pdf)
[Quiz 4, on Lecture 7]
recording [sorry it only started after 5 minutes]
recommended reading: mathworld1 mathworld2
Here is the attendance quiz and here are the full solutions.
Here is the real quiz 4, and are the solutions to quiz 4
Mon. Oct. 21: Lecture 10; section 12.4 ; homework 10 (due Sunday Oct. 27, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw10.pdf)
Here is the attendance quiz and here are the full solutions.
Thur. Oct. 24: Lecture 11; section 12.5 ; homework 11 (due Sunday Oct. 27, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw11.pdf)
[Quiz 5, on Lectures 8 and 9]
recommended reading: mathworld wiki
Here is the attendance quiz and here are the full solutions.
Here is the real quiz 5, and are the solutions to quiz 5
average=8.03
Mon. Oct. 28: Lecture 12; section 12.6 ; homework 12 (due Sunday Nov. 3, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw12.pdf)
recommended reading: wiki mathworld
Here is the attendance quiz and here are the full solutions.
Thur. Oct. 31: Lecture 13; section 13.1 ; homework 13 (due Sunday Nov. 3, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw13.pdf)
[Quiz 6, on Lectures 10 and 11]
recommended reading: wiki1 mathworld wiki2
Here is the attendance quiz and here are the full solutions.
Here is the real quiz 6, and are the solutions to real quiz 6
average=7.07
Mon. Nov. 4: Lecture 14; section 13.2 ; homework 14 (due Sunday Nov. 10, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw14.pdf)
recommended reading: wiki1 wiki2 wiki3 mathworld1 mathworld2 mathworld3
Here is the attendance quiz and here are the full solutions.
Thur. Nov.7: Lecture 15; section 13.3 ; homework 15 (due Sunday Nov. 10, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw15.pdf)
[Quiz 7, on Lectures 12 and 13]
recommended reading: wiki mathworld
Here is the attendance quiz and here are the full solutions.
Here is the real quiz 7, and are the solutions to real quiz 7
average=9.5
Mon. Nov. 11: Lecture 16; section 13.4 ; homework 16 (due Sunday Nov. 17, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw16.pdf)
recommended reading: wiki mathworld
Here is the attendance quiz and here are the full solutions.
Thur. Nov. 14: Lecture 17; section 13.5 ; homework 17 (due Sunday Nov. 17, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw17.pdf)
[Quiz 8, on Lectures 14 and 15]
recommended reading: wiki
Here is the attendance quiz and here are the full solutions.
Here is the real quiz 8, and are the solutions to quiz 8
average=7.59
Mon. Nov. 18: Lecture 18; section 14.1 ; homework 18 (due Sunday Nov. 24, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw18.pdf)

Here is the attendance quiz and here are the full solutions.
Thur. Nov. 21: Dr. Z.'s Amazing method for solving BVPs;
[Quiz 9, on Lectures 16 and 17]
Here is the real quiz 9, and are the solutions to real quiz 9
average=5.9
Mon. Nov. 25: Review
Tue. Nov. 26: Midterm Exam 2 (on Lectures 1-18 with emphasis on Lectures 7-18)
Here is the Exam 2 , and are the full solutions to Exam 2
average=54.61 (out of 100); (standard deviation: 25.98;) median=53. more detailed statistics

You are welcome to join the Second Chance Club for Exam 2
Thur. Nov. 28: No Class (Thanksgiving)
Mon. Dec. 2: Lecture 19; section 15.2 ; homework 19 (due Sunday Dec. 8, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw19.pdf)
Here is the attendance quiz and here are the full solutions.
Thur. Dec. 5: double-feature:
[ Optional self-study, not required: Lecture 20 ; section 15.3 ; Optional homework (DO NOT SUBMIT) homework 20]
Lecture 21;section 15.4 ; homework 21 due Sunday Dec. 8, 8:00pm, Email calc5DrZ@gmail.com with attachment LastFirstHw21.pdf)
recommended reading: wiki mathworld
[Quiz 10, on Lecture 18]
Here is the attendance quiz and here are the full solutions.

Here is the real quiz 10, and are the solutions to quiz 10
Ave=4.5 (out of 10)
Mon. Dec. 9: REVIEW
Wed., Dec. 11: 7:00-8:20pm : First On-line Review session (via WebEx, invitations will be sent)
Here is the recording

[Highly recommended for everyone but MANDATORY for members of the Second Chance Club for Exam 2]
Wed., Dec. 18: 7:00-8:20pm : Second On-line Review session (via WebEx, invitations will be sent)
[Highly recommended for everyone but MANDATORY for members of the Second Chance Club for Exam 2]
Here is the recording

Final Exam

Monday, Dec. 23, 8:00-11:00am (in classroom, SEC 117) Here is the Final Exam , and are the solutions to the Final Exam