===== Multivariable Calculus =====

==== Course Overview ====

  * Coordinate systems
  * Vectors
  * Partial differentation
  * Multiple integration

==== Course Goals ====

  * For students to develop the ability to **compute basic vector
    quantities**, including the dot and cross products, and derivatives of vector functions;
  * For students to develop a **geometric understanding of vectors** (without components), including the dot and cross products, and motion in space.
  * For students to develop the ability to **visualize curves and surfaces in
    space**;
  * For students to develop the ability to **relate multiple representations
    of functions of several variables**, such as the relationship between graphs and level sets.
  * For students to develop the ability to **evaluate partial derivatives**;
  * For students to develop the ability to **set up optimization problems
    involving several variables**;
  * For students to develop the ability to **evaluate the gradient of a
    function**;
  * For students to develop a **geometric understanding of the gradient**, including its relationship to level sets.
  * For students to develop the ability to **evaluate multiple integrals**;
  * For students to develop the ability to **set up multiple integrals in
    standard coordinate systems**;

==== Sample Syllabus ====

  * [[http://people.oregonstate.edu/~drayt/MTH254H/Fall16|
	Course Homepage Fall 2016]]
  * [[http://people.oregonstate.edu/~drayt/MTH254H/Fall16/schedule.html|
	Course Calendar Fall 2016]]  (with links to online text)
  * [[http://people.oregonstate.edu/~drayt/MTH254/Fall10|
	Course Homepage Fall 2010]]
  * [[http://people.oregonstate.edu/~drayt/MTH254/Fall10/schedule.html|
	Course Calendar Fall 2010]]  (with links to online text)


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

{{page>..:order:mvorder}}


==== Activities Included ====

  * [[activities:courses:mvindex|All activities]] for Multivariable Calculus\\\\ ([[topic:multivariable|old list]])
  * [[swbq:courses:mvindex|All small whiteboard questions]] for Multivariable Calculus\\\\ //(What are [[strategy:smallwhiteboard:|SWBQs]]?)//