Mathematics 2263 (Multivariable Calculus)



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Required text: Calculus: Early Transcendentals, Volume 2, 7th edition by James Stewart.

Prerequisites: Calculus I and II. A review of algebra and analytic geometry can be found at the textbook webpage.

Course description: This course extends the concepts and techniques of Calculus I and II to functions of several variables. We will cover most of chapters 12 (Vector Algebra), 14 (Partial Derivatives), 15 (Multiple Integrals) and 16 (Vector Calculus).

Homework: Homework will be assigned in class every Monday, Wednesday and Friday and posted on this page. Homework will not be collected and graded. Yet doing homework is absolutely indispensable for success in the course. Problems on quizzes and exams will be very similar to the homework problems.

Quizzes: A quiz will be given every Tuesday starting September 15. It will be based on the homework assigned on Wednesday and Monday of the preceding week and on the Friday right before the preceding week. You cannot make up a quiz.Two lowest quiz scores will be dropped.

Exams: There will be three midterm exams on Thursdays, October 8, November 5 and December 3 and a final exam on Thursday, December 17, 1:30 - 4:30pm, room to be announced.

Make up exams: Will be allowed only under truly exceptional circumstances. You must notify the lecturer at least a week in advance.

Calculators: Basic scientific calculators are allowed in exams and quizzes. These are calculators that can evaluate trigonometric, exponential and logarithmic functions. Graphing calculators or calculators that can do symbolic manipulations will not be allowed during exams and quizzes.

Final grade: Quizzes count for 25%, each of the midterm exams for 15% and the final exam for 30%.

Lecture date Homework assignment
Wednesday
September 9 		12.1 (page 790):
Problems 2, 3, 5, 11, 15;
12.2 (page 798):
Problems 2, 5, 9, 15, 19
Friday
September 11 		12.3 (page 806):
Problems 1, 4, 14, 17, 22, 24, 25, 26, 33, 34, 42
Monday
September 14 		12.4 (page 814):
Problems 1, 4, 6, 13, 16, 18, 28, 31, 33, 36
Wednesday
September 16 		12.5 (page 824):
Problems 3, 7, 11, 15, 17, 23, 25, 37, 54, 61, 67, 77
Friday
September 18 		12.6 (page 832):
Problems 4, 6, 11, 13
Monday
September 21 		12.6 (page 832):
Problems 16, 18, 24, 28, 31, 33, 35, 36
Review (page 835):
Problems 3, 9, 10, 16, 20, 22, 25, 27, 34
Wednesday
September 23 		14.1 (page 888):
Problems 10, 18, 28, 32, 41, 63, 65
Friday
September 25 		14.2 (page 899):
Problems 5, 9, 11, 15, 19, 27, 35
Monday
September 28 		14.3 (page 911):
Problems 13, 15, 24, 28, 31, 39, 45, 48, 51, 61, 73, 76
Wednesday
September 30 		14.4 (page 922):
Problems 1, 5, 12, 16, 21, 28, 30, 33, 34, 37
Friday
October 2 		14.5 (page 930):
Problems 1, 4, 9, 12, 21, 25, 30, 31, 39, 53
Monday
October 5 		14.6 (page 943):
Problems 4, 7, 10, 13, 21, 28, 30, 41, 51, 56
Wednesday
October 7 		Prepare for midterm 1.
It is going to cover all sections from 12.1 through 14.5 on which homework has been assigned.
Friday
October 9 		14.7 (page 953):
Problems 2, 6, 11, 16, 30, 37, 40, 42, 43, 50
Monday
October 12 		14.8 (page 963):
Problems 4, 6, 7, 9, 13, 20, 32, 33, 40
Wednesday
October 14 		15.1 (page 981):
Problems 2, 5, 11, 12, 14
Friday
October 16 		15.2 (page 953):
Problems 2, 3, 7, 8, 12, 13, 16, 18, 26, 30
Monday
October 119 		15.3 (page 995):
Problems 3, 7, 18, 19, 20, 23, 23, 31, 36, 47, 50, 59
Wednesday
October 21 		15.4 (page 1002):
Problems 3, 4, 5, 11, 12, 20, 25
Friday
October 23 		15.5 (page 1012):
Problems 3, 5, 6, 9, 14, 21
Monday
October 19 		15.6 (page 1016):
Problems 4, 7, 11
Wednesday
October 28 		15.7 (page 1025):
Problems 1, 5, 6, 14, 23
Friday
October 30 		15.8 (page 1031):
Problems 2, 3, 8, 13, 19, 22, 24
Monday
November 2 		15.9 (page 1037):
Problems 1, 7, 10, 18, 20, 21, 27, 30
Wednesday
November 5 		Prepare for the second midterm.
It is going to cover sections 14.6 through 15.8.
Friday
November 7 		15.10 (page 1047):
Problems 1, 3, 8, 18, 19, 24
Monday
November 9 		16.1 (page 1061):
Problems 1, 6, 11, 12, 13, 14, 21, 25, 29, 30, 31, 32
Wednesday
November 11 		16.2 (page 1072):
Problems 1, 5, 6, 13, 19, 22, 23, 34, 39
Friday
November 13 		16.3 (page 1082):
Problems 3, 7, 9, 12, 18, 20, 29, 30, 31, 32, 33, 34
Monday
November 16 		16.4 (page 1089):
Problems 1, 7, 9, 11, 18, 19
Wednesday
November 18 		16.5 (page 1097):
Problems 2, 7, 12, 14, 17, 18, 20, 31, 34
Friday
November 20 		16.6 (page 1108):
Problems 3, 13, 14, 15, 16, 17, 18, 23
Monday
November 23 		16.6 (page 1108):
Problems 37, 43, 45, 46, 48
Wednesday
November 25 		16.4, more on Green's theorem (page 1089):
Problems 10, 27, 28, 29
Monday
November 30 		16.7 (page 1120):
Problems 4, 9, 12, 15, 17
Wednesday
December 2 		Prepare for the third midterm.
It is going to cover sections 15.9 through 16.6
Friday
December 4 		16.7 (page 1120):
Problems 21, 24, 25, 27, 42
Monday
December 7 		16.8 (page 1127):
Problems 1, 3, 4, 9, 13, 16, 17
Wednesday
December 9 		16.9 (page 1133):
Problems 1, 5, 6, 7, 10, 19, 26, 30
Friday
December 11 		16.10 (page 1137):
Problems 6, 10, 16, 19, 25, 33, 36
Monday
December 14 		Prepare for the final exam
Wednesday
December 16 		Prepare for the final exam

The final exam is on Thursday, December 17, 1:30 through 4:30.
Room assignments:
Discussion sections Room
11, 14 Hanson 1-103
12, 16 Hanson 1-105
13, 15 Hanson 1-104
21, 24 Hanson 1-107
22, 23, 25 Hanson 1-108