Math 314 - Calculus of Several Variables - Winter 2021

Class Information

Instructor: Tuan Pham
Section 7
Class meetings: MWF 3:00 - 3:50 PM at TMCB 159.
Those unable to join in-person can join online at this link.
[Syllabus]   [Class Schedule]   [Learning Suite]   [WebAssign]

Office Hours

MWF 4:00 - 5:00 PM and TTh 3:30 - 4:45 PM on Zoom at this link (not the same link at class meetings!)

Assignments

  • The schedule of written homework is here. It is to be submitted on Learning Suite.
  • The schedule of online homework is on WebAssign or Learning Suite.

    • Lecture notes

  • Lecture 39 (Apr 14): review
  • Lecture 38 - draft (Apr 12): Stokes theorem
  • Lecture 37 - draft (Apr 9): surface integral
  • Lecture 36 - draft (Apr 7): surface parametrization and surface area
  • Lecture 35 - draft (Apr 5): divergence and curl
  • Lecture 34 - draft (Apr 2): divergence of a vector field
  • Lecture 33 - draft (Mar 31): Green's theorem
  • Lecture 32 - draft (Mar 29): fundamental theorem of calculus for line integral
  • Lecture 31 - draft (Mar 26): line integral of a vector field
  • Lecture 30 - draft (Mar 24): line integral
  • Lecture 29 - draft (Mar 22): vector fields
  • Lecture 28 - draft (Mar 17): spherical coordinates
  • Lecture 27 (Mar 15): review
  • Lecture 26 - draft (Mar 12): change of variables
  • Lecture 25 - draft (Mar 10): cylindrical coordinates, geometric transformation
  • Lecture 24 - draft (Mar 8): more examples on triple integral
  • Lecture 23 - draft (Mar 5): integral over a polar region, triple integral
  • Lecture 22 - draft (Mar 3): integral over polar rectangle
  • Lecture 21 - draft (Mar 1): average value, integral over a general region
  • Lecture 20 - draft (Feb 26): double integral, iterated integral
  • Lecture 19 - draft (Feb 24): extrema of a function (with constraints)
  • Lecture 18 - draft (Feb 22): extrema of a function (without constraints)
  • Lecture 17 - draft (Feb 19): geometric interpretation of the gradient vector
  • Lecture 16 - draft (Feb 17): directional derivatives, the gradient
  • Lecture 15 - draft (Feb 16): chain rule
  • Lecture 14 - draft (Feb 12): tangent plane, linear approximation, differential
  • Lecture 13 - draft (Feb 10): partial derivatives, Clairaut's theorem
  • Lecture 12 - draft (Feb 08): review
  • Lecture 11 - draft (Feb 05): limit of a function
  • Lecture 10 - draft (Feb 03): functions of several variables, domain, level sets
  • Lecture 9 - draft (Feb 01): motion, velocity, speed, acceleration
  • Lecture 8 - draft (Jan 29): length and curvature of a curve
  • Lecture 7 - draft (Jan 27): integral of vector functions, tangent vectors, length of a curve
  • Lecture 6 - draft (Jan 25): intersection of surfaces, limits and derivative of a vector function
  • Lecture 5 - draft (Jan 22): intersection of planes, surfaces and curves
  • Lecture 4 - draft (Jan 20): cross product, triple product, equation of lines
  • Lecture 3 - draft (Jan 15): dot product, projection, cross product
  • Lecture 2 - draft (Jan 13): vector addition, scaling, length
  • Lecture 1 - draft (Jan 11): introduction, 3D coordinate system

    • Remarks before / after class

  • Some review problems for Final exam, answer key
  • Examples of surface integral (supplement to Lecture 37): video (code: 67@rs6^k), notes
  • Finding surface area (supplement to Lecture 35): video (code: eN3#8..M), notes
  • Check if a vector field is conservative (supplement to Lecture 32): video (code: +*b5Fp7k), notes
  • Some review problems for Midterm II, answer key
  • Evaluating double and triple integrals using Mathematica
  • Integral over a polar rectangle (supplement to Lecture 22): video (code: 9&J=5eHY), notes
  • Finding extrema of a function (supplement to Lecture 18): video (code: %C4x4PdC), notes
  • Extrema of a function (supplement to Lecture 17): video (code: 28.9P.A1), notes
  • Tangent plane of ellipsoid (supplement to Lecture 14): video (code: 2ak3^H6p), notes
  • Some review problems for Midterm I
  • Plotting regions and level sets on Mathematica
  • Why do I get wrong answers in Webassign?
  • Plotting surfaces and curves on Mathematica
  • Equation of planes (supplement to Lecture 4): video (code: WU!E9%p!), notes
  • Finishing an example given in class on Jan 15, 2021
  • Practice plotting functions on Mathematica

    • Links

    Discuss with your classmates on Learning Suite
    Mathematics Labroom (for help or tutoring service)
    Department of Mathematics
    This page was last modified on Wednesday, April 14, 2021