Preparation for Exam 1

[1]      Materials for this exam:  chapter 9: 9.1+9.5+9.7+9.8+9.9+9.12, chapter 4: 4.1

[2]  Review all definitions and theorems

[3]  Review all bold and italic words (vector function, helix, pitch, smooth curve, tangent vector, continuous, length of a curve, gradient, directional derivative, vector field, curl, div, Irrotational and rotational flows, incompressible, work, exact differential, gradient field, potential function, conservative, Laplace transform, linear prop, exponential order, .......)

[3]  Study all quizzes  (Q1,Q2)

[4]  study all homework problems. ( solutions available online )

[5]  Study all examples.

[6]  Study sec 9.10+9.11 ( how to do double integral in polar coordinates )

[7]  Study Green's Theorem and solve many problems related to this theorem (9.12: 5-14)

[9]  Study Fundamental Theorem for Line integral

[9]  Study and solve the following:

       9.1:  1,5,13,15,19,23,39,43,47

       9.5:  1,5,11,15,17,19,22,23,25,27,29,31,33,37,47,48

       9.7:  1,3,5,9,11,13,17-24,25-33,34,35,37,43(b,c), how to graph a vector field

       9.8:  1,3,7,9,11,17,19,20,21,23,25,31,35

       9.9:  1,3,5,9,11,17,19,21,25

       9.12:  1,3,5-14,23,24,26,27,29,30, Example3/p518

       4.1  :   1,7,9,11,13,15,19-36,40(a,b),45