Problem Set 7
Part A
(15 points)
Hand in the underlined problems only; the others are for more practice.
Lecture 19. Thurs, Mar 23. Change of variables. Probability
Read: Notes CV. Extra lecture notes on Probability
Work: 3D/ 1, 2, 3, 4 (integrate in the
Problem Set 5
Part A
(10 points)
Hand in the underlined problems only; the others are for more practice.
Lecture 13. Thurs, Mar 9. Lagrange multipliers
Read: 19.8
Work: 2I/ 1, 3.
Lecture 14. Fri, Mar 10. Nonindependent variables.
Read: N (p. 05).
Work: 2J
Problem Set 4
(15 points)
Part A
Hand in the underlined problems only; the others are for more practice.
Lecture 10. Thu Mar. 2
Second derivative test. Boundaries and innity.
Read: 19.7, SD
Work: 2H/ 1ac, 3, 4, 6;
Lecture 11. Fri Mar. 3
Dierentials. Chain
Problem Set 6
(15 points)
Part A
Hand in the underlined problems only; the others are for more practice.
Lecture 17. Fri, Mar 17. Double integrals and iterated integrals
Read: 20.1, 20.2 and Notes I.1.
Work: 3A/ 1abc, 2abc, 3ab, 4bc, 5ab, 6.
Lecture 18. T
Problem Set 9
(5 points)
Part A
Hand in the underlined problems only; the others are for more practice.
Lecture 25. Thu Apr 13
Greens theorem.
Read: 21.3, Notes V4.3.
Work: 4D/ 1abc, 2, 3, 4, 5.
Lecture 26. Fri Apr 14
Read: Notes V5, V6
Simply-connected r
Problem Set 1
Part A
(15 points)
Hand in the underlined problems only; the others are for more practice.
(Notation: 17.1/7 = Simmons text, Section 17.1, problem 7; 1A/1 = Suppl. Notes E Exercises:
1A-1).
Vectors and dot product
Lecture 1. Tue, Feb 7
Read:
Problem Set 3
Part A
(15 points)
Hand in the underlined problems only; the others are for more practice.
Lecture 8. Fri, Feb 24.
Functions of several variables, Level curves.
Partial derivatives. Tangent plane approximation.
Read: 19.119.3; Notes TA
Work:
Problem Set 8
(15 points)
Part A
Hand in the underlined problems only; the others are for more practice.
Lecture 22. Thu, Apr 6. Vector elds and line integrals in the plane.
Read: 21.1, Notes V1.
Work: 4A/ 1bd, 2abc, 3abd, 4; 4B/ 1abcd, 2ab. (4B/1c orient
Problem Set 2
Part A
(15 points)
Hand in the underlined problems only; the others are for more practice.
Lecture 5. Thu Feb. 16
Read: 18.4, 17.1, 17.4
Parametric curves, velocity, acceleration
Work: 1E/ 3abc, 4, 5; 1I/ 1, 3abd, 5.
Keplers second law
Lectu