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 inperson 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

