Math 114: Calculus II – Lecture Videos
Section 003 - Spring 2013
- 12.1: Three-Dimensional Coordinate Systems
- Introduction to Vectors (12.2)
- The Dot Product and the Cross Product Part1 Part2 Part 3 (12.3 and
12.4)
- Equations of Lines and
Planes (12.5)
- Distance b/w a point
and a plane, b/w a point and a line (12.5) and Quadric
Surfaces part 1 (12.6)
- Quadric Surfaces
(12.6) and Vector Functions (13.1)
- Projectile Motion
(13.2)
- Arc
Length and Curvature (13.2/13.4)
- Components
of Acceleration and Torsion (13.5)
- Intro. to
Multivariable Functions (14.1)
- Multivariable
Limits (14.2)
- Partial
Derivatives (14.3)
- The Chain
Rule (14.4)
- The Directional Derivative Part 1
Part
2 (14.5)
- The Tangent
Plane and Differentials (14.6)
- Classifying
Critical Points and Finding Abs Max. and Abs. Min values
(14.7)
- Lagrange
Multipliers (14.8)
- Introduction
to Multivariable Integration (15.1)
- Double
Integrals over General Regions (15.2/15.3)
- Double Integrals in Polar (15.4) Part 1 Part 2
- Exam 2
Review
- Applications
of the Double Integral (15.6)
- Triple
Integrals (15.5/15.7) Spherical Coordinates
explained, Spherical
Example 1, Spherical
Example 2
- Change of
Variable (15.8) Example
- Vector
Fields (16.2) and Introduction
to Line Integrals (16.1)
- Fundamental
Theorem of Line Integrals (16.3)
- Green's
Theorem (16.4)
- Loose Ends
from Chapter 16
- Divergence and Curl
(Calculation) Divergence
(intuition), Curl (intuition)
- Surface
Area and Surface Integrals (16.5 and 16.6)
- Surface Area for an
implicit function F(x,y,z) = c
- Surface Area for a
parametric surface r(u,v) =
< f(u,v), g(u,v), h(u,v) >
- Surface Integral for
an implicit function F(x,y,z) = c
- Surface Integral for
a parametric surface r(u,v) = <
f(u,v), g(u,v), h(u,v) >
- Flux of a vector
field through a surface : a surface integral with
G(x,y,z) = F · n
- Stokes'
Theorem (16.7)
- Divergence
Theorem (16.8)
Advice |
Help