Nedjla Ougouag Faculty Page

Nedjla Ougouag, PhD

Mathematics Department, Harold Washington College

Office: HWC - 30 E. Lake - Room 702H.

MATH 209 - Calculus III

All Test and Quiz scores will be posted on Brightspace (see link left).

Welcome to Dr. Ougouag's Calculus III
Have a Great Semester!

ANNOUNCEMENTS:

The course is based on the following textbook which is optional for you to get:
Multivariable Calculus, by Stewart, 7th edition
We will NOT be using WebAssign! If you choose to purchase the textbook, you SHOULD NOT pay for the WebAssign access code that comes bundled with the book.
Get ready before we start! Review Calc 1 and Calc 2.
From Calc 1: Review Conic Sections! Also: Limits, Derivatives, Chain rule, ...
From Calc 2: Review Integration techniques.
Interesting study... Check this out! Curve of forgetting

Syllabus Math 209 - Section SU (on BrightSpace)

Lectures and HW assignments are based on the following (not required): Multivariable Calculus, by Stewart (7th Edition)
CCC online bookstore
Compare shop at: CheapTextbooks.

Homework Assignments

This file will be updated during the semester. Check it often!

Sample hw checklist (how hw will be recorded).

Lecture topics and Resources:

PowerPoint Lecture Slides are posted on Brightspace.

Topics	Resources
Introduction and Review (Handout) Sections 12.1 and 12.2 (Review)	Video: 3D coordinate system. Tutorial: 3D coordinate system. Video: Finding a Vector from two points. Tutorial: Elementary vector analysis. Tutorial: Vectors: The basics. Video: Vector Addition and Combinations of Vectors. Tutorial: Vector arithmetics. Video: Unit Vector in the Direction of the Given Vector. Vector 3D plotter GeoGebra3D Math Insight
Section 12.3	Video: Dot Product Tutorial: Dot Product
Section 12.4	Video: Cross Product Tutorial: Cross product. Right hand rule:
Section 12.5	Video: Symmetric Equations of a line
Section 12.6 Interactive quadric surfaces Practice identifying quadric surfaces!	Handout: Quadric Surfaces Summary Video:Reducing a Quadric Surface Equation to Standard Form Video:Sketching the Quadric Surface 3D-Grapher: GeoGebra3D
Section 13.1	Video: Domain of the Vector Function Video: Limits of the Vector Function Grapher (3D) - Wolfram Alpha: Parametric Plot. Grapher (3D) Animated parametric curve grapher. Grapher (3D) CalcPlot3D. Select: "space curve" from menu.
Section 13.2	Video: Integral of the Vector Function Video: Derivative of the Vector Function
Section 13.3	Animation: Osculating circle Animation: Tangent, Normal and Binormal to a space curve. Video: Arc Length of a Vector Function Video: Curvature of the Vector Function
Section 13.4	Tutorial and Solved Problems: Velocity and Acceleration.
Section 14.1 Section 14.2	Tutorial: Function of several variables Limit illustration 3D Grapher: CalcPlot3D: z=f(x,y) function grapher
Section 14.3	Try this interactive QUIZ for partial derivatives. Video: Partial Derivatives Video: Second order partial derivatives.
Section 14.4	Video: Equation of tangent plane in two variables. Video: Linear approximation in two variables.
Section 14.5	Video: Chain rule Video: Chain rule and Tree diagrams Video: Implicit Differentiation
Section 14.6	Video: Directional Derivatives Video: Gradient Vector Video: Gradient Vector and Tangent Plane
Section 14.7	Video: Gradient Vectors and Maximum Rate of Change
Section 14.8	Video: Lagrange Multipliers - Part I Video: Lagrange Multipliers - Part II Video: Lagrange Multipliers in 3D with two constraints
Sections 15.1 and 15.2	Video: Double Integrals. Video: Iterated Integrals.
Section 15.3	Video: Double Integrals on Type I and Type II regions. Video: Double Integrals to find Volume of a solid.
Sections 15.4, 15.5 and 15.6	Review Video: Polar (Cylindrical) Coordinates Video: Converting Iterated Integrals to Polar Coordinates. Video: Converting Double Integrals to Polar Coordinates. Video: Sketch region given by double polar integral. Video: Double polar integral to find Area. Video: Double polar integral to find Volume of solid. Video: Double integral to find Mass and Center of Mass of an object. Video: Double Integrals to find Surface Area.
Sections 15.7, 15.8 and 15.9	Video: Triple Integrals Video: Triple Iterated Integrals Video: Converting Triple Integrals to Cylindrical Coordinates Video: Volume in Cylindrical Coordinates Review Video: Spherical Coordinates Video: Triple Integral in Spherical Coordinates to Find Volume.
Section 15.10	Video: Jacobian of the Transformation (2X2) Video: Jacobian of the Transformation (3X3)
Section 16.1
Sections 16.2 - 16.3 - 16.5	Video: Line Integral of a Curve Video: Line Integral of a Vector Function (3X3) Video: Curl and Divergence

Online Tools:

Grapher: Wolfram Alpha
Grapher: GeoGebra
Grapher: GeoGebra 3D
Grapher: Desmos
Grapher: CalcPlot3D (Beautiful!)
Integrator: Wolfram Mathematica(TM)
Integrator: FreeMathHelp

Additional Resources:

Open source: Calc 3 textbook with practice problems.
Derivative Rules cheat sheet
Common Integrals. List of the most common integrals
Integration techniques: Integration Techniques
Visual Calculus - Great website with tutorials and self-tests!
Calculus Facts: Flashcards - on web or print for yourself
Trigonometry Facts: Flashcards - on web or print for yourself
MATH2.org
Doing Math with Calculator: Many Resources Here!
Cheat Sheets: Calculus and More

TI-83, 84, etc.. stuff:

Virtual TI 83Plus Calculator. Save this zip-file to your disc, then extract all and click on the "vti" icon. Choose "run", to run the program and get the calculator on your screen! Cool!
Basic TI-83 Plus Tutorial (from the University of Illinois).
Quick Guide to the TI-83, TI-83+, TI-84, and TI-84+.

Math cartoon 1

I will Derive! (u-tube song)

Math cartoon 2