Math 3204: Calculus IV (Spring 2023)

General Information

Instructor: Mikhail Lavrov
Location: Mathematics 116
Lecture times: 12:30pm to 1:45pm on Tuesday and Thursday
Textbook: Thomas' Calculus, Early Transcendentals, by Joel Hass, Christopher Heil, and Maurice D. Weir (14th edition).
Office hours: Wednesdays 1pm-3pm and Thursdays 3pm-4pm, or by appointment, in my office (Mathematics 245)
D2L page: https://kennesaw.view.usg.edu/d2l/home/2797377.

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 office hours indicated above, you should feel free to show up with no notice if you have questions of any kind. If these times do not work for you, send me an email and we'll work out something else.

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.

I am teaching this class for the first time, so some topics may shift if we go faster or slower than expected.

  • Date
    Topic Covered
    Other details
  • Tue 1/10
    Cylindrical integrals
    HHW 15.7
  • Thu 1/12
    Spherical integrals
     
  • Tue 1/17
    Substitution in 2D
    HHW 15.8
  • Thu 1/19
    Substitution in 3D
    HW 1 due Friday
  • Tue 1/24
    Line integrals
    HHW 16.1
  • Thu 1/26
    Applications/examples
     
  • Tue 1/31
    Vector fields
    HHW 16.2
  • Thu 2/2
    Vector field integrals
    HW 2 due Friday
  • Tue 2/7
    Flux integrals
     
  • Thu 2/9
    Conservative fields
    HHW 16.3
  • Tue 2/14
    Gradient fields
     
  • Thu 2/16
    Finding potentials
    HW 3 due Friday
  • Tue 2/21
    Exam 1
     
  • Thu 2/23
    2D curl and divergence
    HHW 16.4
  • Tue 2/28
    Green's theorem
     
  • Thu 3/2
    Examples/applications
    HW 4 due Friday
  • Tue 3/7
    No class
     
  • Thu 3/9
    No class
     
  • Tue 3/14
    Parametrizing surfaces
    HHW 16.5
  • Thu 3/16
    Surface area
    HW 5 due Friday
  • Tue 3/21
    Area of implicit surfaces
     
  • Thu 3/23
    Scalar surface integrals
    HHW 16.6
  • Tue 3/28
    Vector surface integrals
     
  • Thu 3/30
    Applications
    HW 6 due Friday
  • Tue 4/4
    Exam 2
     
  • Thu 4/6
    Curl vector field
    HHW 16.7
  • Tue 4/11
    Stokes' theorem
     
  • Thu 4/13
    Conservative fields
    HW 7 due Friday
  • Tue 4/18
    Divergence theorem
    HHW 16.8
  • Thu 4/20
    Divergence and curl
     
  • Tue 4/25
    Applications/examples
     
  • Thu 4/27
    TBD
    HW 8 due Friday
  • Tue 5/2
    No class
     
  • Thu 5/4
    Final exam (1:00pm - 3:00pm)
     
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