Math 53 - Section 1 - Multivariable Calculus - Fall 2013

Denis Auroux - MWF 2-3pm, Room 155 Dwinelle


[Announcements] [Textbook] [Grading policy] [Homework] [Exams] [Syllabus] [Resources] [Sections]

Instructor: Denis Auroux (auroux@math.berkeley.edu)

Office: 817 Evans.
Office hours (finals week): Wednesday 2-3:30pm (still subject to slight changes).

Lectures: Mondays, Wednesdays and Fridays, 2-3pm, 155 Dwinelle
Discussion sections: Mondays, Wednesday and Fridays, at various times.

Section enrollment/changes are performed through TeleBears. Note: Keep in mind that, even if the lecture isn't full, you will get placed on the waitlist if you try to enroll in a discussion section that is full, and won't get off the waitlist until space opens up in that section.

Announcements

Textbook

The textbook for this course is: Stewart, Multivariable Calculus: Early Transcendentals for UC Berkeley, 7th edition (ISBN: 978-1-285-13239-6, Cengage).

This is a custom edition containing chapters 10 and 12-16 of Stewart's "Calculus: Early Transcendentals", 7th edition; the regular edition is also fine. The 6th edition is also acceptable, but you will need to watch for differences in the numbering of assigned homework problems.

Grading and course policy

Weekly homework and quizzes 25%; two midterms 25% each; final exam 25%; the lowest midterm can be dropped and replaced by the final exam grade. There will be no make-up exams. This grading policy allows you to miss one midterm, but check your schedule to make sure you have no conflict for the final exam.

Make sure to read the detailed course policy for important information.

Homework

Homework assignments are due each Wednesday in section; they will be posted here.

Exams

There will be two midterms, on Monday October 14 and Monday November 25 (2-3pm) in the usual lecture room. The final exam will be on Thursday 12/19 (3-6pm) in 220, 230 and 251 Hearst Gym. (Room 220: sections 101-107; Room 230: sections 108-114; Room 251: sections 115-117).

Practice exams and solutions to midterms will be posted here. Please note: the practice midterms are longer (80-90 minutes) than the actual midterms (50 minutes, during regular class time).

Midterm 1 score distribution: the quartiles are 60, 75, 84. (i.e.: 25% of the class got above 84, 25% got between 75 and 84, 25% got between 60 and 75, 25% got below 60). Individual scores are on bSpace.

A very rough estimate of what this might mean in terms of letter grades: cut-off between A- and B+ = somewhere around 83-85; cut-off between B- and C+ somewhere around 67-69; cut-off between C- and D somewhere around 53-55.

Midterm 2 score distribution: the quartiles are 49, 65, 79. (i.e.: 25% of the class got above 79, 25% got between 65 and 79, 25% got between 49 and 65, 25% got below 49).

A very rough estimate of what this might mean in terms of letter grades: cut-off between A- and B+ = somewhere around 81-83; cut-off between B- and C+ somewhere around 61-63; cut-off between C- and D somewhere around 46-48.

Final exam score distribution: the quartiles are 122, 146, 168 (out of 200). (i.e.: 25% of the class got above 168, 25% got between 146 and 168, 25% got between 122 and 146), 25% got below 122. Cut-offs: A-/B+ = somewhere around 170; B-/C+ = somewhere around 140; C-/D = somewhere around 110.

Syllabus

DateTopics Book
Fri 8/30 Parametric equations § 10.1, 10.2
Mon 9/2 NO CLASS (Labor Day)
Wed 9/4 Polar coordinates § 10.3
Fri 9/6 Polar coordinates continued § 10.4
Mon 9/9 Vectors, dot product § 12.1, 12.2, 12.3
Wed 9/11 Dot product continued; determinant § 12.3
Fri 9/13 Cross product § 12.4
Mon 9/16 Equations of lines and planes § 12.5
Wed 9/18 Parametric equations and vector functions § 13.1
Fri 9/20 Velocity, acceleration § 13.2, 13.4
Mon 9/23 Functions of several variables § 14.1
Wed 9/25 Partial derivatives § 14.2, 14.3
Fri 9/27 Tangent plane, linear approximation § 14.4
Mon 9/30 Chain rule § 14.5
Wed 10/2 Gradient, directional derivatives § 14.6
Fri 10/4 Max-min problems § 14.7
Mon 10/7 Max-min problems continued § 14.7
Wed 10/9 Lagrange multipliers § 14.8
Fri 10/11 Review
Mon 10/14 MIDTERM 1
Wed 10/16 Double integrals § 15.1, 15.2, 15.3
Fri 10/18 Double integrals in polar coordinates § 15.4
Mon 10/21 Applications of double integrals § 15.5
Wed 10/23 Change of variables in double integrals § 15.10
Fri 10/25 Triple integrals § 15.7
Mon 10/28 Triple integrals in cylindrical coordinates; applications § 15.8
Wed 10/30 Triple integrals in spherical coordinates § 15.9
Fri 11/1 Vector fields § 16.1
Mon 11/4 Line integrals § 16.2
Wed 11/6 Gradient fields, fundamental theorem for line integrals § 16.3
Fri 11/8 Green's theorem § 16.4
Mon 11/11 NO CLASS (Veterans' Day)
Wed 11/13 Curl and divergence, Green's theorem revisited § 16.5
Fri 11/15 Surface area § 16.6
Mon 11/18 Surface integrals and flux § 16.7
Wed 11/20 The divergence theorem § 16.9
Fri 11/22 Review
Mon 11/25 MIDTERM 2
Wed 11/27 More about the divergence theorem § 16.9
Fri 11/29 NO CLASS (Thanksgiving)
Mon 12/2 Stokes' theorem § 16.8
Wed 12/4 Stokes' theorem continued; applications to physics § 16.8
Fri 12/6 Review
Mon 12/9 Optional review (RRR week)
Thu 12/19 FINAL EXAM (3-6pm)

Additional resources

MIT's OpenCourseWare project has a nice set of video lectures for MIT's multivariable calculus class, taught by a familiar instructor. The overall course topics are roughly the same, but they are covered in a different order and not quite in the same manner, so don't use this as a replacement for attending lectures!

Discussion sections

Section TimeRoomInstructore-mailOffice hours
101MWF 8-9am87 Evans Kun Chenck90624ck@berkeley.edu F 12-2 / 1070 Evans
102MWF 8-9am2 Evans Qiaochu Yuanqyuan@berkeley.edu M & Th 3-4 / 832 Evans
103MWF 9-10am30 Wheeler Noah Schweberschweber@berkeley.edu ?
104MWF 9-10am200 Wheeler Qiaochu Yuanqyuan@berkeley.edu M & Th 3-4 / 832 Evans
105MWF 12-1pm110 Barker Catherine Cannizzockacannizzo@berkeley.edu M 3:15-4 & Tu 1:30-3:45 / 832 Evans
106MWF 10-11am103 Moffitt Noah Schweberschweber@berkeley.edu ?
107MWF 11-12pm237 Cory Catherine Cannizzockacannizzo@berkeley.edu M 3:15-4 & Tu 1:30-3:45 / 832 Evans
108MWF 12-1pm210 Wheeler Benjamin Harrop-Griffithsbenhg@math.berkeley.edu M 5-6 & W 10:30-11:30 / 737 Evans
109MWF 12-1pm9 Evans Justin Chenjchen419@berkeley.edu TT 11:30-12:30 / 1064 Evans
110MWF 12-1pm7 Evans Kieren James-Lubinksjames@berkeley.edu ?
111MWF 1-2pm220 Wheeler Justin Chenjchen419@berkeley.edu TT 11:30-12:30 / 1064 Evans
112MWF 1-2pm200 Wheeler Benjamin Harrop-Griffithsbenhg@math.berkeley.edu M 5-6 & W 10:30-11:30 / 737 Evans
113MWF 3-4pm3111 Etcheverry Kun Chenck90624ck@berkeley.edu F 12-2 / 1070 Evans
114MWF 3-4pmB56 Hildebrand Kieren James-Lubinksjames@berkeley.edu ?
115MWF 4-5pmB51 Hildebrand Maryam Farahmandmfarahmand@math.berkeley.edu MW 3-4pm / 1037 Evans
116MWF 5-6pm71 Evans Maryam Farahmandmfarahmand@math.berkeley.edu MW 3-4pm / 1037 Evans
117TT 6-8pm230C Stephens Aditya Adiredjaaditya@berkeley.edu MW after lecture; Tu 5-6 & Th 4-6 in 230C Stephens