Math 253 - Calculus III - Spring 2023

Class Information

Instructor: Tuan Pham
Class meetings: M, T, Th, F, 9:00-9:50 AM at Badgley Hall 146
[Syllabus]   [Canvas]   [Class Schedule]   [Homework Schedule]  

Office Hours

Monday, Friday 10:00-11:45 PM, Tuesday, Thursday 2-3 PM, or by appointment at Loso Hall 225

Assignments

  • The list of homework problems is in the homework schedule link above.
  • Mathematica labs are to be turned in on Canvas (see class schedule above):
    [Lab 1]   [Lab 2]  

    • Lecture notes

  • Review for Final exam (Jun 9)
  • Lecture 36 (Jun 8): equations of a sphere; rendition using Mathematica
  • Lecture 35 (Jun 6): three-dimensional space, 3D Pythagorean theorem
  • Lecture 34 (Jun 5): polar equation of a conic section (cont.); vectors in 3D
  • Lecture 33 (Jun 2): polar equation of a conic section
  • Lecture 32 (Jun 1): conic sections, description using focus and directrix
  • Lecture 31 (May 30): conic sections, description using a cone or distance to foci
  • Lecture 30 (May 26): area enclosed by a polar curve
  • Lecture 29 (May 25): tangent lines and length of a polar curve
  • Lecture 28 (May 23): graph a polar curve
  • Lecture 27 (May 22): polar coordinates
  • Lecture 26 (May 19): area enclosed by parametric curve (cont.)
  • Lecture 25 (May 18): length of a parametric curve; enclosed area
  • Lecture 24 (May 16): draw parametric curves; tangent lines at intersection point
  • Lecture 23 (May 15): finding tangent lines of a curve
  • Lecture 22 (May 12): curves and parametric equations
  • Lecture 21 (May 11): approximation of a function by polynomials
  • Lecture 20 (May 9): Taylor series of trigonometric functions; binomial series
  • Lecture 19 (May 8): Taylor series of exponential and logarithm; non-analytic functions
  • Review for Midterm exam (May 5)
  • Lecture 18 (May 4): representing a general function as a power series; Quiz 2
  • Lecture 17 (May 2): representing a rational fucntion as a power series
  • Lecture 16 (May 1): representing a function as a power series
  • Lecture 15 (Apr 28): power series, radius of convergence, interval of convegence; Quiz 1 (second chance)
  • Lecture 14 (Apr 27): estimate error for alternating series; Quiz 1
  • Lecture 13 (Apr 25): Ratio Test and Root Test
  • Lecture 12 (Apr 24): error estimate for alternating series
  • Lecture 11 (Apr 21): Alternating Series Test
  • Lecture 10 (Apr 20): Integral Test
  • Lecture 9 (Apr 17): more practice with Comparison Test
  • Lecture 8 (Apr 14): convergence tests; Comparison Test
  • Lecture 7 (Apr 13): more practice with geometric series
  • Lecture 6 (Apr 11): geometric series
  • Lecture 5 (Apr 10): series, convergence, divergence
  • Lecture 4 (Apr 7): monotonicity and boundedness
  • Lecture 3 (Apr 6): more example on computing limits of sequences
  • Lecture 2 (Apr 4): sequence and limit
  • Lecture 1 (Apr 3): introduction

    • Supplement materials

  • Roy, "The Discovery of the Series Formula for Pi by Leibniz, Gregory and Nilakantha"
  • Polar equation of an ellipse
  • Conic section formulas
  • An elementary introduction to the Wolfram language
  • GeoGebra applet for limits of sequences
  • Installing Mathematica with JupyterLab as interface
  • Using Mathematica on JupyterLab, sample lab report: pdf, ipynb
  • Using Mathematica on Wolfram Cloud, sample lab report: pdf, nb

    • Links

    EOU's Portal, Library, Learning Center, Writing Center, Testing Center
    This page was last modified on Friday, Jun 23, 2023.