Calculus III
MODULE  1    MODULE  2     MODULE 3EXAMS EXAMSOLN Links Modules
MODULE 1
LECTURES
ASSIGNMENTS
SOLUTIONS
     
 Vector Space Vector Space and Vectors in a Plane  Vector Space
 Vectors in a Plane Vector Space and Vectors in a Plane  Vectors in a Plane
Vectors in space Vectors in space  Vectors in space
 Dot Product  Dot Product  Dot Product 
 Cross Product Cross Product Cross Product
 Lines and Planes Lines and Planes Lines and Planes
 Surfaces Surfaces  Surfaces 
- - -
Vector Function  Vector Function Vector Function
Calculus on Vector Functions Calculus on Vector Functions Calculus on Vector Functions
Velocity and Acceleration Velocity and Acceleration Velocity and Acceleration

 
 
 

MODULE  2
LECTURES
ASSIGNMENTS
SOLUTIONS
 Function of Several Variables
     [Domain,Range,Graph]
 Function of Several Variables
     [Domain,Range,Graph]
-Function of Several Variables
     [Domain,Range,Graph]
 Partial Derivatives  Partial Derivatives  Partial Derivatives
 Differential for a Function of Several 
 Variables 
 Differential for a Function of Several 
 Variables
 Differential for a Function of Several 
 Variables
 Chain Rules  Chain Rules  Chain Rules
 Directional Derivative and Gradient  Directional Derivative and Gradient  Directional Derivative and Gradient
 Level Curve, Gradient, and
 Tangent Plane
 Level Curve, Gradient, and
 Tangent Plane
 Level Curve, Gradient, and
 Tangent Plane
- -
 Multiple Integration  Multiple Integration  Multiple Integration
 Double Integrals  Double Integrals  Double Integrals
 Change of Variable: Polar Coordinates  Change of Variable: Polar Coordinates  Change of Variable: Polar Coordinates

 
 
 

MODULE  3
 Elementary Row Operations  on
 Matrices 
 Elementary Row Operations  on
 Matrices 
 Elementary Row Operations  on
 Matrices 
 Gaussian Elimination  Gaussian Elimination  Gaussian Elimination
 Determinant Function on Matrices  Determinant Function on Matrices  Determinant Function on Matrices
 Algebra on Matrices  Algebra on Matrices  Algebra on Matrices
 Subspace and Basis  Subspace and Basis  Subspace and Basis
 Linear Transformation  Linear Transformation  Linear Transformation
 Eigen Vectors  Eigen Vectors  Eigen Vectors