Math 314 - Calculus of Several Variables - Spring 2022

Class Information

Instructor: Tuan Pham
Class meetings: MWF 2:00 - 3:50 PM at TMCB 112.
Class meeting may be livestreamed/recorded upon request: Zoom link, camera control (ask instructor for code).
[Syllabus]   [Learning Suite]   [Class Schedule]   [Homework Schedule]   [WebAssign]

Office Hours

MWF: 1:00 - 2:00 PM, 4:00 - 4:30 PM at TMCB 316 (in person)
Tu,Th: 2:00 - 3:00 PM on Zoom: office hours Zoom link

Assignments

  • Homework is to be submitted on Learning Suite. The schedule of homework assignments is in a link above.
  • Online assignments are given on WebAssign (link above).

    • Lecture notes

  • Lecture 20 (Jun 13): surface integral, Review for Final
  • Lecture 19 (Jun 10): curl and divergence, surface parametrization, tangent plane
  • Lecture 18 (Jun 8): fundamental theorem of Multivariable Calculus; Green's theorem
  • Lecture 17 (Jun 6): line integral of scalar function and vector field
  • Lecture 16 (Jun 3): spherical coordinates; vector fields
  • Lecture 15 (Jun 1): change of variables; cylindrical coordinates
  • Lecture 14 (May 27): double integral using polar coordinates; triple integral
  • Lecture 13 (May 25): double integral over a general region
  • Lecture 12 (May 23): classification of critical points, double integral
  • Lecture 11 (May 20): optimization problems
  • Lecture 10 (May 18): directional derivatives, Review for midterm
  • Lecture 9 (May 16): chain rule and directional derivatives
  • Lecture 8 (May 13): tangent plane and differentials
  • Lecture 7 (May 11): limits and partial derivatives
  • Lecture 6 (May 9): motion problems; domain, range, graph, level sets, limit of a multivariable function
  • Lecture 5 (May 6): length, curvature, torsion
  • Lecture 4 (May 4): curves, limits and derivative of a vector function
  • Lecture 3 (May 2): planes, lines, quadratic surfaces
  • Lecture 2 (Apr 29): dot product and cross product
  • Lecture 1 (Apr 27): introduction, points, shapes, vectors

    • Supplement materials

  • Sketch a region after a change of variable using Mathematica
  • Solution to the midterm exam
  • Find line and surface integrals using Mathematica
  • Find integrals using Mathematica
  • Optimization under constraints
  • Plot regions and level sets
  • Plot surfaces and curves on Mathematica
  • Access and first experiments on Mathematica

    • Links

    Mathematics Labroom (for help or tutoring service)
    Department of Mathematics
    This page was last modified on Monday, Jun 13, 2022.