Calculus of One and Several Variables, Honors

 General Information Syllabus Homework Assignments Exam Related

Homework assignments

The homework consists in written assignments, collected in class, and WeBWorK assignments, enforced electronically.

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Final Examinations Week

FINAL EXAM: Sunday, December 8, 10:30 AM - 12:30 PM, Bradley 101.
The emphasis is on chapter 15, but the exam is comprehensive.
Some practice sets are available at the "Exam Related" location above.

Week of Dec 2 -- Dec 4, 2002

 Wednesday, December 4: Study: Review. Monday, December 2: Study: Chapter 15, Section 8.

Week of Nov 25 -- Nov 27, 2002

NO class Wednesday, November 27. Happy Thanksgiving!

 Monday, November 25: Study: Chapter 15, Section 8. Do WeBWorK assignment (due Thursday, December 5, 8 AM): "setm9f02day27" Do written assignment #25 (due Wednesday, December 4): Discovery project, p.984, 1 and 2a. Note. The quadratic approximation will not be tested during the final exam.

Week of Nov 18 -- Nov 22, 2002

 Friday, November 22: Study: Chapter 15, Section 7. Do WeBWorK assignment (due Monday, December 2, 8 AM): "setm9f02day26" Do written assignment #24 (due Monday, December 2): 52, p.983. Wednesday, November 20: Study: Chapter 15, Section 7. Do WeBWorK assignment (due Wednesday, November 27, 8 AM): "setm9f02day25" Do written assignment: NO written assignment.

Projects for Section 4 (Prof. Webb).

 Monday, November 18: Study: Chapter 15, Section 6. Do WeBWorK assignment (due Monday, November 25, 8 AM): "setm9f02day24" Do written assignment #23(due Monday, November 25): 56, p.972.

Week of Nov 11 -- Nov 15, 2002

 Friday, November 15: Study: Chapter 15, Section 5. Do WeBWorK assignment (due Friday, November 22, 8 AM): "setm9f02day23" Do written assignment #22 (due Friday, November 22): 35 b and c, p.972. Wednesday, November 13: Study: Chapter 15, Section 5. Do WeBWorK assignment (due Wednesday, November 20, 8 AM): "setm9f02day22" Do written assignment # 21 (due Wednesday, November 20): 46, p.959.

Two handouts are available in preparation for the chain rule (matrix form):

 Monday, November 11: Study: Chapter 15, Section 4. Do WeBWorK assignment (due Monday, November 18, 8 AM): "setm9f02day21" Do written assignment #20(due Monday, November 18): 41 and 42, p.951.

November 11, 6-8 PM: second midterm exam.
It covers 12.10, 12.12, 13.1-5, 14.1-4, 15.1-2.
Location: Sections 1 and 2 (Chernov and Dumitrascu), Wilder 104;
Sections 3 and 4 (Kiralis and Webb), Wilder 111.

Some practice sets are available at the "Exam Related" location above.

Week of Nov 4 -- Nov 8, 2002

 Friday, November 8: Study: Chapter 15, Section 3. Do WeBWorK assignment (due Friday, November 15, 8 AM): "setm9f02day20" Do written assignment #19 (due Friday, November 15): hwk19.pdf Wednesday, November 6: Study: Chapter 15, Sections 1 and 2. Do WeBWorK assignment (due Wednesday, November 13, 8 AM): "setm9f02day19" Do written assignment # 18 (due Wednesday, November 13): hwk18.pdf Note. You should know how to do both homework assignments by the time of the second midterm exam. Monday, November 4: Study: Chapter 14, Sections 3 and 4. Do WeBWorK assignment (due Monday, November 11, 8 AM): "setm9f02day18" Do written assignment #17(due Monday, November 11): "A particle moves in space so that its velocity and position vectors are always orthogonal. Show that the distance from the particle to the orgin is constant. (Hint. The dot product implicit in the first sentence can be expressed as a derivative as in the previous written assignment.)"

Week of Oct 28 -- Nov 1, 2002

November 1: no class. The x-hour is used instead.

 x-hour: Study: Chapter 14, Sections 1 and 2. Do WeBWorK assignment (due Friday, November 8, 8 AM): "setm9f02day17" Do written assignment #16 (due Friday, November 8): "Show that if T = T(t) is the unit tangent vector to the curve given by the vector-valued function r(t), then T and T' are orthogonal. (Hint. Express the length of T as a dot product and differentiate.)" Wednesday, October 30: Study: Chapter 13, Section 5. Do WeBWorK assignment (due Wednesday, November 6, 8 AM): "setm9f02day16" Do written assignment # 15 (due Wednesday, November 6): problem 1 of the discovery project on p. 845. (Hint. Assign a direction to the three edges meeting at one of the vertices, say Q, of the tetrahedron. This makes these edges into vectors. The other edges, after being assigned directions, can then be expressed in terms of them.) Monday, October 28: Study: Chapter 13, Section 5. Do WeBWorK assignment (due Monday, November 4, 8 AM): "setm9f02day15" Do written assignment: NO written assignment.

Week of Oct 21 -- Oct 25, 2002

 Friday, October 25: Study: Chapter 13, Sections 3 and 4. Do WeBWorK assignment (due Friday, November 1, 8 AM): "setm9f02day14" Do written assignment #14 (due Monday, November 4): 40, p. 845. Wednesday, October 23: Study: Chapter 13, Sections 1 and 2. Do WeBWorK assignment (due Wednesday, October 30, 8 AM): "setm9f02day13" Do written assignment # 13 (due Wednesday, October 30): hwk13.pdf Monday, October 21: Study: Chapter 12, Section 12. Do WeBWorK assignment (due Monday, October 28, 8 AM): "setm9f02day12" Do written assignment # 12 (due Monday, October 28): 16a,b and 25, p. 807. (No credit on 25 for just copying the answer from the back of the book. )

October 21, 6-8 PM, Murdough Cook Auditorium (near Tuck school): first midterm exam.
Some practice sets are available at the "Exam Related" location above.

Week of Oct 14 -- Oct 18, 2002

 Friday, October 18: Study: Chapter 12, Section 10. Do WeBWorK assignment (due Friday, October 25, 8 AM): "setm9f02day11" Do written assignment #11 (due Friday, October 25): "Assume that g is a function with domain the open interval (-10,10). Also assume that the 10th derivative of g does not exist at 4. Could g(x) equal a power series centered at 0 and with radius of convergence 10? Explain." Note. You should know how to do the witten assignment by the time of the midterm exam. Wednesday, October 16: Study: Chapter 12, Sections 9 and 10. Do WeBWorK assignment (due Wednesday, October 23, 8 AM): "setm9f02day10" Do written assignment # 10 (due Wednesday, October 23): hwk10.pdf Note. You should know how to do both homework assignments by the time of the midterm exam. Monday, October 14: Study: Chapter 12, Sections 6 and 8. Do WeBWorK assignment (due Monday, October 21, 8 AM): "setm9f02day9" Do written assignment # 9 (due Monday, October 21): hwk9.pdf

Week of Oct 7 -- Oct 11, 2002

 Friday, October 11: Study: Chapter 12, Sections 3, 4 and 5 (quickly). Do WeBWorK assignment (due Friday, October 18, 8 AM): "setm9f02day8" Do written assignment (due Friday, October 18): 6, p. 759 and 8, p.770. (For the second problem no credit will be given if the ratio or root tests are used. You have to use the comparison test or other method.) Wednesday, October 9: Study: Chapter 12, Sections 1 and 2. Do WeBWorK assignment (due Wednesday, October 16, 8 AM): "setm9f02day7" Do written assignment (due Wednesday, October 16): 38, p. 745 and 14, p. 759. (Mention any tests you use and show that they apply.) Note. You will probably want to wait till after Friday's class to do the second problem. Monday, October 7: Study: Chapter 18, Sections 1 and 3. Do WeBWorK assignment (due Monday, October 14, 8 AM): "setm9f02day6" Do written assignment (due Monday, October 14): "The motion of a certain spring-mass system without damping satisfies the initial value problem mx'' + kx = 0, x(0) = 0, x'(0) = 1. The potential energy of the system is (1/2)kx^2 and its kenetic energy is (1/2)mv^2. (a) Solve this initial value problem. (b) What is the total energy -- kinetic plus potential -- of the system at time t? Is energy conserved?"

Week of Sept 30 -- Oct 4, 2002

 Friday, October 4: Study: Appendix G and Chapter 18, Section 1. Do WeBWorK assignment (due Friday, October 11, 8 AM): "setm9f02day5" Do written assignment (due Friday, October 11): 33, p. 1165. (No credit for just copying the answer in the back of the book.) Wednesday, October 2: Study: Chapter 10, Section 6 and Appendix G. Do WeBWorK assignment (due Wednesday, October 9, 8 AM): "setm9f02day4" Do written assignment (due Wednesday, October 9): 40, p.A55 of the appendix, and the following: "Using the fact that e^(z+w) = e^z e^w for any complex numbers z and w, derive the trigonometric identity 12a at the top of page A29." Monday, September 30: Study: Chapter 10, Section 6. Review integration by parts from Chapter 8, Section 1. Do WeBWorK assignment (due Monday, October 7, 8 AM): "setm9f02day3" Do written assignment (due Monday, October 7): 23 and 26, p.661.

Week of Sept 25 -- 29, 2002

 Friday, September 27: Study: Chapter 10, Sections 3 and 4 (skip orthogonal trajectories). Do WeBWorK assignment (due Friday, October 4, 8 AM): "setm9f02day2" Do written assignment (due Friday, October 4): 36, p.635. For this problem assume that the initial velocity is positive, otherwise the speed of the object in part (b) increases with time. Since v^2 > v if v > 1, it seems that the magnitude of the resistive force is greater in part (b). So one might expect that the object travels farther in part (a) than it does in part (b). Is this the case? If not, what is wrong with the above reasoning? Answer also these questions when you write the solution of the problem. Wednesday, September 25: Study: Chapter 10, Sections 1 and 2 (skip Euler's method). If you feel rusty, flip through your old calculus book to refresh your memory on the basics. Do WeBWorK assignment (due Wednesday, October 2, 8 AM): "setm9f02day1" Try set0 if you find entering the answers confusing; it will walk you through the basics of WeBWorK. Do written assignment (due Wednesday, October 2): 18, p.628.

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