Math 2110 Learning Activities (Spring 2017)

Need to Review Calculus 1 & 2 (1131/1132)?

A Few Useful Links:

3D Function Grapher (also does Parametric Surfaces!)

Learning Activities, By Week:

Week	Section	Topic	Learning Activities	Assessments
1	12.1	Three-Dimensional Coordinate Systems	Visualizing the Octants Points in 3D and Points in 3D (User Input) Corners of a Box Planes Circles vs Cylinder/Line vs Plane
	12.6	Cylinders and Quadric Surfaces	Quadric Surfaces
	12.2	Vectors	Visualizing Vectors in 3D Vector Addition and Commutative Properties Vector Components Unit Vectors and Normalization
2	12.3	The Dot Product	Dot Products in 3D Direction Angles (useful application) Projections (useful application)
	12.4	The Cross Product	Cross Products Volume of a Parallelepiped (*useful application)
	12.5	Equations of Lines & Planes	Line in 3D (static) vs Line in 3D (variable) Planes and Intercepts of Planes
	14.1	Functions of Several Variables	A Gallery of Examples Level Curves of an (Elliptic) Paraboloid Level Curves of a Gaussian Surface (Bell)
	14.3	Partial Derivatives	Cross Sections
3	14.2	Limits and Continuity
	14.4	Tangent Planes and Linear Approximation	Linear Approximation
	14.5	The Chain Rule
	14.6	Directional Derivatives and the Gradient Vector	Directional Derivatives Video Directional Derivatives
4	14.7	Maximum and Minimum Values	Max and Min Video Types of Extrema
	14.8	Lagrange Multipliers	Absolute Max/Min Video Lagrange Multipliers Video
	15.1	Double Integrals over Rectangles	Double Integrals over Rectangles Video Riemann Sum in 2D Riemann Sum in 3D
5	15.2	Double Integrals over General Regions	Double Integrals over General Regions Video
	15.3	Double Integrals in Polar Coordinates
6		Exam 1
	15.6	Triple Integrals	Modeling Solids Handout (Play-Doh!) Surface Area Video (*helpful for Chapter 16) Triple Integrals/Double Integrals in Polar Video
	15.9	Change of Variables in Multiple Integrals	Change of Variables Video
7	15.7	Triple Integrals in Cylindrical Coordinates	Visualizing Cylindrical Coordinates Triple Integrals in Cylindrical Video
	15.8	Triple Integrals in Spherical Coordinates	Visualizing Spherical Coordinates Basic Shapes in Spherical Coordinates Spherical Coordinates (from URI) Summary of Triple Integrals (All Coordinate Systems)
8	13.1	Vector Functions	A Space Curve Another Space Curve (Helix) Line Segment A Gallery of Examples
	13.2	Derivatives and Integrals of Vector Functions
	13.3	Arc Length	Linear Approximation of Arc Length Practice Problems with Visualizations
9	16.1	Vector Fields	Simple 2D Vector Field Interesting 2D Vector Field Simple 3D Vector Field Interesting 3D Vector Field
	16.2	Line Integrals
	16.2	Line Integrals (continued)
10	16.3	The Fundamental Theorem for Line Integrals	Fundamental Theorem for Line Integrals Video
	16.4	Green’s Theorem	Green’s Theorem Video Summary of Line Integrals (methods and deciding what to use)
11		Exam 2
	16.5	Curl and Divergence
12	16.6	Parametric Surfaces and Their Areas	A Gallery of Examples Practice Problems with Visualizations Parametric Surfaces (from URI)
	16.7	Surface Integrals
13	16.9	Divergence Theorem
14	16.8	Stokes’ Theorem	Summary of Surface Integrals (decision-making and methods)
		Final Exam Review