Multivariable Calculus 1st edition

Access is contingent on use of this textbook in the instructor's classroom.

• Chapter 1: Euclidean plane
  • 1.1: Coordinate Systems and Distance
  • 1.2: Vectors
  • 1.3: The Product Rule and Distributivity
  • 1.4: Area
  • 1.5: Distance from a point to a line
  
  
• Chapter 2: Curves in plane
  • 2.1: Parametrization of curves
  • 2.2: Angle and projections
  • 2.3: Equation of a curve
  
  
• Chapter 3: Euclidean 3-space: extending 2D concepts
  • 3.1: Coordinate system and Distance
  • 3.2: Vectors
  • 3.3: Parameterization of curves
  • 3.4: Angle and projections
  
  
• Chapter 4: Euclidean 3-space: new concepts
  • 4.1: Volume
  • 4.2: Vector product
  • 4.3: Equations in 3-space
  
  
• Chapter 5: Taylor series
  • 5.1: Computing Taylor series
  • 5.2: Approximations for numbers
  • 5.3: Differential of a function
  • 5.4: Second Derivative Test
  
  
• Chapter 6: Functions from to Euclidean space
  • 6.1: Functions from to a plane
  • 6.2: Functions from to 3-space
  • 6.3: Functions from to a plane
  • 6.4: Functions from to 3-space
  
  
• Chapter 7: Functions from Euclidean plane to
  • 7.1: Linear functions
  • 7.2: Partial Derivatives
  • 7.3: Taylor series
  • 7.4: Gradient
  • 7.5: Differential of a function
  • 7.6: Chain Rule
  • 7.7: Directional derivative
  • 7.8: Absolute max/min values
  • 7.9: Absolute max/min on a bounded region
  • 7.10: Lagrange Multipliers
  • 7.11: Basic quadratic functions
  • 7.12: Second Derivative Test
  
  
• Chapter 8: Line integrals
  • 8.1: Length
  • 8.2: Area of a region
  
  
• Chapter 9: Multiple integrals
  • 9.1: Double integrals
  • 9.2: Triple integral
  
  
• Chapter 10: Gas-Liquid-Solid decomposition
  • 10.1: Decomposition of a matrix
  • 10.2: Linear motion of media
  • 10.3: Linearization of general motion of media