Advanced Calculus
Math 4600


Instructor

Grader

Dr. Mohamed T. Boudjelkha

Andrew Nixon

Office: Amos Eaton 404

Office: Amos Eaton (4th floor lounge)

Email: boudjm@rpi.edu

Phone: 276-2725

Email: nixona2@rpi.edu

Office Hours:
Monday, Wednesday & Thursday
11:10-12:10

Office Hours: Tuesday 2:00-4:00,

Wednesday, 3:00-4:30


Syllabus


Assignments

Due Friday, January 25, 2008:

Section 2.3 # 1, 11, 14, 21, 22, 47c, 51

Section 2.4 # 5, 11, 15, 21b

Due Friday, February 1, 2008:

Section 2.5 # 2, 4, 9, 22, 24

Section 2.6 # 5, 10a, 10b, 16, 26, 34, 36

Section 2.8 # 33a 

Due Friday, February 8, 2008:

Section 4.1 # 9, 11, 13, 22

Section 4.2 # 1, 5, 7, 10, 23ab, 33

Due Friday, February 15, 2008:

Section 3.4 # 1, 6, 7, 14, 17, 20, 21, 23, 28, 29

Due Friday, February 29, 2008

Section 2.6 # 42, 43, 46, 48, 49

Due Friday, March 7, 2008

Section 4.3 # 4, 5, 6, 7, 19, 28

Due Wednesday, March 26, 2008

Folland Advanced Calculus book:  7.1 # 2a, 2e; 7.2 # 1, 2; 7.5 # 3, 8, 9, 11

Due Tuesday, April 1, 2008

6.1 # 4, 6, 13, 18

6.2 # 2, 4, 14, 19

(Colley textbook)

Due Friday, April 11, 2008

Section 6.3 # 1, 3, 4, 11, 16, 19, 21

Due Thursday, April 17, 2008

Section 7.1 # 3, 7, 22, 24; Section 7.2 # 2, 7, 14, 17, 20, 21

Due Tuesday, April 22, 2008

Section 7.3 # 1, 3, 10, 13, 6, 7, 9, 18, 19

 


Class Notes


Announcements

 

EXAM #1
Thursday, February 21, 2:00 pm
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
Thursday, April 3, 2:00 pm
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
Thursday, April 24,
2:00 pm
West Hall Auditorium

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

Sections: 6.3, 7.1-7.3