Advanced Calculus for Engineers
[Math 421](Sections 1 and 2), Fall 2011 (Rutgers U. (NB))
(Last Update: Nov. 28, 2011,
(note new schedule and syllabus starting Nov. 17)
http://www.math.rutgers.edu/~zeilberg/math421_11.html

Text: "Advanced ENGINEERING MATHEMATICS", 4th edition,
by Dennis G. Zill and Warren S. Wright (publisher: Jones and Bartlett).

Teacher:
Dr. Doron ZEILBERGER ("Dr. Z") .

Email:
zeilberg at math dot rutgers dot edu (MUST have Calc5Rocks in the subject!)
 Place and Time:

Section 1:
SEC 203 (note new location)
MTh, period 2 (10:20noon11:40pm).
 Section 2:
SEC 216, MTh, period 3 (12:00noon1:20pm).

Free Tutoring:
ARC 206, Mondays, period 1 (8:4010:00) .

Office Hour: Monday 5:006:00pm, Hill 704.

Dr. Z.'s Class Policy
Added Dec. 28, 2011: Carefully read the
Solutions to Final Exam of Section 1
Added Jan. 1, 2012: Carefully read the
Solutions to Final Exam of Section 2
Added Nov. 27, 2011: Carefully read the
Solutions to Exam 2, Section 1
and the
Solutions to Exam 2, Section 2 .
Added Oct. 11, 2011: Carefully read the
Solutions to Exam 1, Section 1
and the
Solutions to Exam 1, Section 2 .
Added Oct. 11, 2011: You are welcome to join the
Second Chance Club
(modified Nov. 27, 2011 to introduce the Second Chance Club for Exam II)
Added Sept. 5, 2011: Download the
cheatsheet,
that you may use in exams and quizzes.
Lecture Schedule [and Homework]

Thur. Sept. 1: Review of Calcs 14

Mon. Sept. 5: NO CLASS (Labor Day)

Thur. Sept. 8:
Lecture 1;
section 4.1;
homework 1
(due 9/15/11)
recommended reading for lectures 16:
wiki
Professor Bumby's essay
Table of Laplace Transforms

Mon. Sept. 12:
Lecture 2;
section 4.2;
homework 2
(due 9/22/11)

Mon. Sept. 15:
Lecture 3;
section 4.3;
homework 3
(due 9/22/11)
[Quiz 1 on Lecture 1]

Mon. Sept. 19:
Lecture 4;
section 4.4;
homework 4
(due 9/29/11)

Thur. Sept. 22:
Lecture 5;
section 4.5 ;
homework 5
(due 9/29/11)
[Quiz 2, on Lectures 2 and 3]

Mon. Sept. 26:
Lecture 6;
section 4.6 ;
homework 6
(due 10/6/11)

Thur. Sept. 29:
Linear Algebra refresher
[delivered by Guest Lecturer Mr. Edinah Gnang,
PhD candidate of Computer Science]
LA homework (due 10/6/11)

Mon. Oct. 3:
Lecture 7;
section 12.1 ;
homework 7
(due 10/13/11)
recommended reading: mathworld
wiki

Thur. Oct. 6: Midterm Exam 1 (On Lectures 16 and Mr. Gnang's Linear Algebra lecture)

Mon. Oct. 10:
Lecture 8;
section 12.2 ;
homework 8
(due 10/20/11)
recommended reading: mathworld
wiki
Prof. Bumby's essay

Thur. Oct. 13:
Lecture 9;
section 12.3 ;
homework 9
(due 10/20/11)
[Quiz 3, on Lecture 7]
recommended reading: mathworld1
mathworld2
sosmath

Mon. Oct. 17:
Lecture 10;
section 12.4 ;
homework 10
(due 10/27/11)

Thur. Oct. 20:
Lecture 11;
section 12.5 ;
homework 11
(due 10/27/11)
[Quiz 4, on Lectures 8 and 9]
recommended reading:
mathworld
wiki

Mon. Oct. 24:
Lecture 12;
section 12.6 ;
homework 12
(due 11/3/11)
recommended reading:
wiki
mathworld

Thur. Oct. 27:
Lecture 13;
section 13.1 ;
homework 13
(due 11/3/11)
[Quiz 5, on Lectures 10 and 11]
recommended reading:
wiki1
mathworld
wiki2

Mon. Oct. 31:
Lecture 14;
section 13.2 ;
homework 14
(due 11/10/11)
recommended reading:
wiki1
wiki2
wiki3
mathworld1
mathworld2
mathworld3

Thur. Nov.3:
Lecture 15;
section 13.3 ;
homework 15
(due 11/10/11)
[Quiz 6, on Lectures 12 and 13]
recommended reading: wiki
mathworld

Mon. Nov. 7:
Lecture 16;
section 13.4 ;
homework 16
(due 11/17/11)
recommended reading: wiki
mathworld

Thur. Nov. 10:
Lecture 17;
section 13.5 ;
homework 17
(due 11/17/11)
[Quiz 7, on Lectures 14 and 15]
recommended reading: wiki

Mon. Nov. 14:
Lecture 18;
section 14.1 ;
homework 18
(due 11/22/11)
recommended reading: mit

Thur. Nov. 17:
Dr. Z.'s Amazing method for solving BVPs;
[Quiz 8, on Lectures 16 and 17]

Mon. Nov. 21: No Class (Rutgers has Wed. schedule today)

Tue. Nov. 22: Midterm Exam 2 (on Lectures 118 with
emphasis on Lectures 718)

Thur. Nov. 24: No Class (Thanksgiving)

Mon. Nov. 28:
Lecture 19;
section 15.2 ;
homework 19
(due 12/8/11)
recommended reading: M.M.Yovanocich

Thur. Dec. 1:
Lecture 20;
section 15.3 ;
homework 20
(due 12/8/11)
[Quiz 9, on Lecture 18]

Mon. Dec. 5:
Lecture 21;
section 15.4 ;
homework 21
(due 12/12/11)
recommended reading: wiki
mathworld

Thur. Dec. 8:
Lecture 22;
sections 6.1 and 6.2;
homework 22
(due 12/12/11)
[Quiz 10, on Lectures 19 and 20]
recommended reading: wiki
mathworld

Mon. Dec. 12:
Lecture 23;
section 16.1 ;
homework 23
(due 12/15/11)
recommended reading: scholarpedia

Thur. Dec. 15: (Optional [but mandatory for SCC II members]) Marathon Review: 8:4012:50pm, ARC 103 .
The Art of Checking Tutorial and Worksheet
(mandatory for SCC II members, strongly recommended for everyone);
Thur. Dec. 15 12:501:10pm: The Art of Checking and Avoiding Nonsense answers multiple choice test
with ten questions.
(mandatory for candidates for SCC II membership, must get at least eight questions right to qualify
[in addition to the other requirements]).
Answers to the homework problems(when applicable)
Final Exams

Section 1: Tue. Dec. 20, 12:003:00pm (in classroom, SEC 203)

Section 2: Thu. Dec. 22, 12:003:00pm (in classroom, SEC 216)
added Dec. 25, 2011:

Stats for Section 1: The average score on the Final exam was 157.94 ,the standard deviation was , 21.23
Course Grade Distributin Out of 54 students: A:10; B+:10 ; B: 14; C+: 11; C: 6: D: 3 ; F: 0 .

Stats for Section 2: The average score on the Final exam was 145.41 ,the standard deviation was 37.39
Course Grade Distributin Out of 42 students: A:11; B+:4 ; B: 6; C+:3; C: 11: D: 7 ; F: 0 .
Top Final Exam Scorers (out of 200) for Section 1

Bryan Lee: 194

Eric Leung: 194

Ashkan Hosseini: 190

Joshua Vichare: 189

Daniel Brookfield: 185

Jia Feng: 185

Jordan Zuber: 183
Top Final Exam Scorers (out of 200) for Section 2

James Kim: 199

Dat Nguyen: 194

David Rothstein: 192

Pratik Desai: 190

Christina Krawiec: 186

Joseph Reichert: 186

James Rizkallah: 186

Ryan Godfrey: 185

Sagar Patel: 185

Katherine Sytwu: 182
Added Jan. 9, 2012:
Here are the students' evaluations for
section 1 and
section 2.