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math302 Syllabus

math 302: Calculus III

Text: Calculus Early Transcendentals, 11th edition, Anton, Bivens, and Davis, Wiley, 2015

Prerequisites: math 301 with a grade of C or better.

A TI-83 or TI-84 Graphing Calculator is required.

Sections and Topics

  • Basic Review
  • 11.1 Rectangular Coordinates in 3-space; Spheres; Cylindrical Surfaces
  • 11.2 Vectors
  • 11.3 Dot Product; Projections
  • 11.4 Cross Product
  • 11.5 Parametric Equation of Lines
  • 11.6 Planes in 3-Space
  • 11.7 Quadric Surfaces
  • 11.8 Cylindrical and Spherical Coordinates
  • 12.1 Intro to Vector-Valued Functions
  • 12.2 Calculus of Vector-Valued Functions
  • 12.3 Arc Length
  • 13.1 Functions of Two or More Variables
  • 13.2 Limits and Continuity
  • 13.3 Partial Derivatives
  • 13.4 Differentiability, Differentials, and Local Linearity
  • 13.5 Chain Rule.
  • 13.6 Directional Derivatives and Gradients
  • 13.7 Tangent Planes and Normal Vectors
  • 13.8 Maxima and Minima of Functions of Two Variables
  • 13.9 Lagrange Multipliers
  • 14.1 Double Integrals
  • 14.2 Double Integrals over Nonrectangular Regions
  • 14.3 Double Integrals in Polar Coordinates
  • 14.4 Surface Area; Parametric Surfaces
  • 14.5 Triple Integrals
  • 14.6 Triple Integrals in Cylindrical and Spherical Coordinates
  • 14.7 Change of Variables; Jacobians
  • 15.1 Vector Fields
  • 15.2 Line Integrals
  • 15.3 Independence of Path; Conservative Vector Fields
  • 15.4 Green's Theorem
  • 15.5 Surface Integrals
  • 15.6 Applications of Surface Integrals; Flux
  • 15.7 The Divergence Theorem
  • 15.8 Stokes' Theorem

Last updated 18 August 2016.