## 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 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 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 This page was last modified on Wednesday, April 14, 2021