Math 3204: Calculus IV (Fall 2023)
General Information
Instructor: Mikhail Lavrov
Location: Architecture 174
Lecture times: 5:00pm to 6:15pm on Monday and Wednesday
Textbook: Thomas' Calculus, Early Transcendentals, by Joel Hass, Christopher Heil, and Maurice D. Weir (14th edition).
Office hours: 3:30pm to 5:30pm on Thursday in my office, Mathematics 245, or by appointment.
D2L page: https://kennesaw.view.usg.edu/d2l/home/2974250.
D2L will be used to submit assignments (these will be posted both here and on D2L, for convenience) and to view grades. The syllabus will also be posted there.
During the scheduled office hours, you should feel free to show up with no notice if you have questions of any kind. These are joint office hours for both classes I'm teaching. If you have the flexibility, I would prefer calculus questions in the second hour, 4:30pm-5:30pm; if not, either hour is fine.
If you cannot make the scheduled office hours, begin by emailing me; if your questions are easy to answer by email, I will do that, and if not, we can find another time to meet. (Allow some time for me to check my email.)
Homework and Exams
There will be eight homework assignments, two midterm exams, and one final exam; the dates are marked below.
I will post the homework assignments here and on D2L; they are always due on Friday at 11:59pm, via D2L.
Exams will be given in person during our ordinary 75-minute class period.
Detailed Schedule
A number like HHW 12.3 indicates material covered in Chapter 12, section 3 of the textbook. We are going through some difficult material slowly and carefully here, so every note like this applies to a set of 2-3 lectures at once.
Lecture notes will be posted on this page the day of the lecture or earlier.
The schedule given below is based on how I taught the class last semester, so it may see some changes as we go.
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DateTopic CoveredOther details
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Mon 8/14Cylindrical integrals
Lecture notesHHW 15.7 -
Wed 8/16Spherical integrals
Lecture notes -
Mon 8/21Substitution in 2D
Lecture notesHHW 15.8 -
Wed 8/23Substitution in 3D
Lecture notesHW 1 due Friday -
Mon 8/28Parametric curves
Lecture notesHHW 16.1 -
Wed 8/30Scalar line integrals
Lecture notes -
Mon 9/4No class
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Wed 9/6Vector fields
Lecture notesHHW 16.2
HW2 due Friday -
Mon 9/11Vector line integrals
Lecture notes -
Wed 9/13Flux integrals
Lecture notes -
Mon 9/18Path independence
Lecture notesHHW 16.3 -
Wed 9/20Conservative or not?
Lecture notesHW3 due Friday -
Mon 9/25Exam 1
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Wed 9/27Trouble with domains
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Mon 10/22D curl and divergenceHHW 16.4
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Wed 10/4Green's theoremHW 4 due Friday
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Mon 10/9Examples/applications
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Wed 10/11Parametrizing surfacesHHW 16.5
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Mon 10/16Surface area
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Wed 10/18Area of implicit surfacesHW 5 due Friday
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Mon 10/23Scalar surface integralsHHW 16.6
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Wed 10/25Vector surface integrals
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Mon 10/30Applications
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Wed 11/1Curl vector fieldHHW 16.7
HW 6 due Friday -
Mon 11/6Exam 2
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Wed 11/8Stokes' theorem
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Mon 11/13Conservative fields
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Wed 11/15Divergence theoremHHW 16.8
HW 7 due Friday -
Mon 11/20No class
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Wed 11/22No class
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Mon 11/27Divergence and curl
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Wed 11/29Unifying the theoremsHW 8 due Friday
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Mon 12/4Examples and review
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Wed 12/6Final exam (6:00pm to 8:00pm)