MA 261 Spring 2018

Lecture Notes

  • Outline of the course and Lesson 1- Review of Vectors

  • Lesson 2- Planes and Lines

  • Lesson 3- Planes and Lines; Cylinders and Quadrics

  • Lesson 4- Quadrics

  • Lesson 5- Vector Functions and Space Curves

  • Lesson 6- Derivatives and Integrals of Vector Functions

  • Lesson 7- Arc-Length and Curvature

  • Lesson 8- Motion in Space; Velocity and Acceleration

  • Lesson 9- Functions of Several Variables

  • Lesson 10- Limits and Continuity

  • Lesson 11- Partial derivatives

  • Lesson 12- Tangent planes and Linear Approximation

  • Lesson 13- Tangent planes and Linear Approximation (contiuation) and the Chain Rule

  • Lesson 15- Directional Derivatives and Gradient (continuation)

  • Lesson 16- Maximum and Minimum Values

  • Lesson 17- Maximum and Minimum Values(Continuation)

  • Lesson 18- Lagrange Multipliers