### 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