Math 314  Calculus of Several Variables  Winter 2022
Class Information
Instructor: Tuan Pham
Class meetings:
Section 4: MWF 12:00  12:50 PM at TMCB 112.
Section 9: MWF 11:00  11:50 AM at TMCB 121.
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
M: 2:00  3:00, W, F: 1:00  2:00 at TMCB 316 (in person)
Tu: 12:00  1:00, Th: 11:00  12:00 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.
Optional online assignments are given on WebAssign (link above).
Lecture notes
Review for Final exam (Apr 13)
Lecture 39 (Apr 11): Stokes theorem and Divergence theorem
Lecture 38 (Apr 8): surface integral of a vector field
Lecture 37 (Apr 6): surface integral of a scalar function
Lecture 36 (Apr 4): parametrization of surfaces
Lecture 35 (Apr 1): curl and divergence of a vector field
Lecture 34 (Mar 30): Green's theorem
Lecture 33 (Mar 28): fundamental theorem of Calculus (cont.)
Lecture 32 (Mar 25): line integral of vector fields; fundamental theorem of Calculus
Lecture 31 (Mar 23): more examples on line integral
Lecture 30 (Mar 21): line integral
Lecture 29 (Mar 16): more examples on spherical coordinates; vector fields
Lecture 28 (Mar 14): more examples on cylindrical coordinates
Lecture 27 (Mar 11): change of variables (cont.), cylindrical and spherical coordinates
Lecture 26 (Mar 9): change of variables
Review for Midterm II (Mar 7)
Lecture 25 (Mar 4): triple integral
Lecture 24 (Mar 2): double integral over a polar region
Lecture 23 (Feb 28): double integrals over a general region
Lecture 22 (Feb 25): double integrals
Lecture 21 (Feb 23): Lagrange multipliers
Lecture 20 (Feb 22): optimization problem
Lecture 19 (Feb 18): applications of directional derivatives
Lecture 18 (Feb 16): the chain rule, directional derivatives
Lecture 17 (Feb 14): differential, the chain rule
Lecture 16 (Feb 11): tangent plane and linear approximation
Lecture 15 (Feb 9): geometric meaning of partial derivatives, tangent plane
Lecture 14 (Feb 7): partial derivatives
Lecture 13 (Feb 4): more on limit and continuity
Lecture 12 (Feb 2): limit
Review for Midterm I (Jan 31)
Lecture 11 (Jan 28): domain, graph, level set
Lecture 10 (Jan 26): motion, velocity, acceleration
Lecture 9 (Jan 24): curvature, torsion
Lecture 8 (Jan 21): tangent line, integral, curve length
Lecture 7 (Jan 19): limit and derivative
Lecture 6 (Jan 14): surfaces and curves
Lecture 5 (Jan 12): equation of planes and lines
Lecture 4 (Jan 10): cross product
Lecture 3 (Jan 7): vectors, dot product, angle, projection
Lecture 2 (Jan 5): plane, sphere, cylinder
Lecture 1 (Jan 3): introduction
Supplement materials
Find line and surface integrals using Mathematica
Finding surface area
Find integrals using Mathematica
Hints for Problem 14 of 14.8
Optimization under constraints
Solution to Midterm I
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 Wednesday, April 13, 2022

