Math 314  Calculus of Several Variables  Winter 2021
Class Information
Instructor: Tuan Pham
Section 2
Class meetings: TTh 5:00  6:15 PM at JKB 3108.
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 26  draft (Apt 13): Stokes theorem
Lecture 25  draft (Apt 8): surface integral
Lecture 24  draft (Apt 6): surface parametrization and surface area
Lecture 23  draft (Apt 1): more examples on Green's theorem; divergence and curl
Lecture 22  draft (Mar 30): Green's theorem
Lecture 21  draft (Mar 25): fundamental theorem for line integral
Lecture 20  draft (Mar 23): line integral
Lecture 19  draft (Mar 18): spherical coordinates, vector fields
Lecture 18  draft (Mar 16): more examples on changes of variables; review for midterm
Lecture 17  draft (Mar 11): change of variables
Lecture 16  draft (Mar 9): triple integral, cylindrical coordinates
Lecture 15  draft (Mar 4): integral over a Type 1, Type 2 and polar region
Lecture 14  draft (Mar 2): double integral, iterated integral
Lecture 13  draft (Feb 25): extrema of a function under constraints
Lecture 12  draft (Feb 23): gradient vector, finding normal vectors to a surface, critical points
Lecture 11  draft (Feb 18): chain rule, directional derivatives
Lecture 10  draft (Feb 11): geometric interpretation of partial derivatives; linear approximations
Lecture 9  draft (Feb 9): partial derivatives, review for midterm
Lecture 8  draft (Feb 4): domain, level set, limit, continuity
Lecture 7  draft (Feb 2), video: velocity, speed, acceleration, functions of several variables
Lecture 6  draft (Jan 28): curvature, torsion, principal normal vector, binormal vector
Lecture 5  draft (Jan 26): intersection of two surfaces; limits, derivatives, and integrals of vector functions
Lecture 4  draft (Jan 21): intersection of two planes, cylinder and quadric surfaces, curves
Lecture 3  draft (Jan 19): cross product, triple product, equation of lines and planes
Lecture 2  draft (Jan 14): length, dot product, projection, cross product
Lecture 1  draft (Jan 12): introduction, 3D coordinate system, vector operations
Remarks before / after class
Some review problems for Final exam, answer key
Example of finding surface area (supplement to Lecture 24): video (code: #Jbc364V), notes
Conservative vector fields (supplement to Lecture 19): video (code: 4a#8ia9O), notes
Some review problems for Midterm II, answer key
Evaluating double and triple integrals using Mathematica
Extrema of a function (supplement to Lecture 12): video (code: 28.9P.A1), notes
Example on finding directional derivatives (supplement to Lecture 11): video (code: 92mL%Lg9), notes
Tangent plane of ellipsoid (supplement to Lecture 10): video (code: 2ak3^H6p), notes
Some review problems for Midterm I
Plotting regions and level sets on Mathematica
Explanation on drag force (NASA)
Why do I get wrong answers in Webassign?
Finding the length of a curve
Plotting surfaces and curves on Mathematica
Finishing an example in Lecture 3
Finishing an example in Lecture 1
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

