Advanced Calculus
Math 4600


Instructor

Grader

Dr. Mohamed T. Boudjelkha

Weituo Zhang

Office: Amos Eaton 404

Office: Amos Eaton 428

Email: boudjm@rpi.edu

Phone: 276-2725

Email: zhangw10@rpi.edu

Office Hours:
Monday, Wednesday & Thursday
10:10 to 11:10 AM

Office Hours: 4:30-6:00pm Tuesday and Thursday. Amos Eaton 4th floor.


Syllabus


Assignments

Due Friday, September 5, 2008:

Section 2.3 # 6, 9, 15, 22, 51

Section 2.4 # 1, 7, 12. 20, 21a

Due Friday, September 12, 2008:

Section 2.5 # 1, 4, 10, 15, 22, 23

Section 2.6 # 7, 9a-b, 17, 33

HW # 3 due September 19

4.1 # 8, 10, 12, 15, 23

4.2 # 2, 6, 11, 22, 38

HW # 4 due September 26

3.4 # 2, 8, 11, 14, 15, 18, 19, 28, 29, 33

HW # 5 due Fri Oct 3

2.6 # 48, 49

2.6 # 40, 43, 47

HW # 6 due Fri Oct 17

4.3 # 1, 3, 4, 9, 18, 21, 29

HW # 7 due Fri Oct 31

From Advanced Calculus by Folland

Section 7.1 # 2a, 2e, 2f

Section 7.2 # 2

Section 7.5 # 4, 5, 8, 9, 11

HW # 8 due Fri Nov 7

From Vector Calculus by Colleys

Section 6.1 # 1b, 3, 8, 11, 14

Section 6.2 # 8, 10, 12, 15, 24

HW # 9 due Fri Nov 21

Section 6.3 # 2, 5, 8, 15, 25

Section 7.1 # 1, 8, 23

Section 7.2 # 1, 3, 17, 21

HW # 10 due Tues Nov 25

Section 7.3 # 1, 2, 3, 10, 13 ( about Stokes Theorem )

Section 7.3 # 6, 7, 9, 18, 19 ( about Gauss Theorem )


Class Notes


Announcements

 

EXAM #1

Friday, October 10th, 2008 @ 10:00 a.m. in the West Hall Auditorium

Material: Differentiation of Functions of several variables; Properties; Chain rule; Directional Derivative; Gradient; Divergence and Curl; Taylor Formula; Extremum

Sections: 2.3-2.6, 3.4, 4.1, 4.2

EXAM #2

Friday, November 14th, 2008 @ 10:00 a.m. in the West Hall Auditorium

Material: Inversion Theorem; Implicit Function Theorem; Lagrange Multipliers; Integrals depending on a parameter; Curves & line integrals; Green’s Theorem

Sections: 2.6, 4.3, 6.1, 6.2

EXAM #3

Tuesday, December 2nd, 2008 @ 10:00 a.m. in the West Hall Auditorium

Material: Independence of path; Surface integrals; Stokes Theorem; Gauss divergence Theorem and Application

Sections: 6.3, 7.1-7.3