===== Vector Calculus =====

==== Course Overview ====

  * Line integrals
  * Surface integrals
  * Conservative vector fields
  * Divergence and Curl

==== Course Goals ====

  * For students to develop a **geometric understanding of vectors** (without components), including the dot and cross products.
  * For students to develop the ability to **express vectors in standard coordinate systems and bases**.
  * For students to develop a **geometric understanding of the gradient**, including its relationship to level sets.
  * For students to develop a **geometric understanding of conservative vector fields**, including their relationship to the gradient and to level sets.
  * For students to develop the ability to **evaluate line and surface integrals**;
  * For students to develop a **geometric understanding of the curl and divergence**, including their relationship to circulation and flux.
  * For students to develop the ability to **evaluate the curl and divergence of a vector field** in standard coordinate systems.
  * For students to develop a **geometric understanding of the Divergence Theorem and Stokes' Theorem**.
  * For students to appreciate the unifying thread brought to these topics by the use of a "**use what you know**" strategy starting from the **vector differential**.

==== Sample Syllabi ====

  * [[http://people.oregonstate.edu/~drayt/MTH255/calendar.php |
	Calendar for current term (automatic)]]
  * [[http://people.oregonstate.edu/~drayt/MTH255H/Winter09|
	Course Homepage Winter 2009]]
  * [[http://people.oregonstate.edu/~drayt/MTH255H/Winter11/schedule.html|
	Course Calendar Winter 2011]]  (with links to online text)

===== Course Contents =====

{{page>..:order:vcorder}}


==== Activities Included ====

  * [[activities:courses:vcindex|All activities]] for Vector Calculus
    * [[topic:bridge|Bridge Project activities]]
  * [[swbq:courses:vcindex|All small whiteboard questions]] for Vector Calculus\\\\ //(What are [[strategy:smallwhiteboard:|SWBQs]]?)//