Math 314 - Multivariable Calculus - Spring 2025

Class Information

Instructor: Tuan Pham
Class meetings: M, T, W, Th, F: 9:30 - 10:50 AM at SCB 303
[Syllabus]   [Class schedule]   [Canvas]   [WebAssign]  

Office Hours

Monday, Wednesday, Friday: 12:30 - 2 PM at SCB 316, or by appointment

Assignments

  • Homework problems are to be done in WebAssign.
  • Labs are submitted on Canvas as pdf file and source file (nb or ipynb).
  • Get access to Mathematica
  • Quizzes are given in class. See the class schedule above.
    Quizzes Labs
    Quiz 1 Lab 1
    Quiz 2 Lab 2
    Quiz 3 Lab 3
    Quiz 4 Lab 4
    Quiz 5 Lab 5
    Quiz 6
    Quiz 7

    • Lecture notes

    Lecture notes were taken by Marc Esquivel. Here is the breakdown of topics:
  • Lecture 38 (Jun 25): Green's Theorem; Final Exam review
  • Lecture 37 (Jun 24): Example on Fundamental Theorem of Calculus; closed and simple curves
  • Lecture 36 (Jun 23): Fundamental Theorem of Calculus for line integral
  • Lecture 35 (Jun 20): Line integral of a scalar function; conservative vector fields
  • Lecture 34 (Jun 18): Line integral of a vector field and scalar function
  • Lecture 33 (Jun 17): 2D and 3D vector fields; work and line integral of a force field
  • Lecture 32 (Jun 16): Change of variables
  • Lecture 31 (Jun 13): Triple integral using spherical coordinates
  • Lecture 30 (Jun 12): Spherical coordinates
  • Lecture 29 (Jun 11): Triple integral using cylindrical coordinates
  • Lecture 28 (Jun 10): Examples of triple integral
  • Lecture 27 (Jun 9): Another example of using polar coordinates; triple integrals
  • Lecture 26 (Jun 6): Double integral using polar coordinates
  • Lecture 25 (Jun 5): Swap the order of integration
  • Lecture 24 (Jun 4): Double integral over a general region
  • Lecture 23 (Jun 3): Double integral over a rectangle, Fubini's Theorem; Riemann's method
  • Lecture 22 (Jun 2): Double integrals, geometric method
  • Lecture 21 (May 29): Multivariable optimization problem (cont.); Midterm Exam review
  • Lecture 20 (May 28): Multivariable optimization problem
  • Lecture 19 (May 27): Gradient; direction of fastest increase
  • Lecture 18 (May 23): Directional derivatives
  • Lecture 17 (May 22): Chain Rule
  • Lecture 16 (May 21): Differential of a multivariable function
  • Lecture 15 (May 20): Tangent plane, implicit differentiation, linear approximation
  • Lecture 14 (May 19): Partial derivatives (geometrically), tangent plane
  • Lecture 13 (May 16): Partial derivatives (algebraically), Clairaut's Theorem
  • Lecture 12 (May 15): Limits, Squeeze Theorem
  • Lecture 11 (May 14): Graph, level sets, contour map
  • Lecture 10 (May 13): Multivariable functions, domain
  • Lecture 9 (May 12): Curvature, position, velocity, acceleration vectors
  • Lecture 8 (May 9): Derivative, tangent line, length and curvature
  • Lecture 7 (May 8): Vector functions, curves, limit
  • Lecture 6 (May 7): Cylinders and quadric surfaces; Worksheet
  • Lecture 5 (May 6): Planes and lines
  • Lecture 4 (May 5): Cross product in 2D and 3D; Worksheet
  • Lecture 3 (May 2): Vector algebra, length, dot product, angle
  • Lecture 2 (May 1): Distance, sphere, plane, orientation
  • Lecture 1 (Apr 30): Introduction; 3D coordinate system

    • Supplement materials

  • Mathematica instruction from the Wolfram company:
       - 15-minute video: Hands-on start to Mathematica
       - Fast introduction for math students
       - Mathematica as a programming tool: An elementary introduction
  • Use Mathematica on JupyterLab:
       - Installation guide
       - Video instruction, sample lab report: pdf, ipynb

    • Links

    Joseph F. Smith Library, Math Lab
    This page was last modified on Monday, Jul 14, 2025.