# MATH 2D Multivariable Calculus (2013-2014)

#### MATH 2D Multivariable Calculus

**MATH 2D Multivariable Calculus (Credit Units: 4)** Differential and integral calculus of real-valued functions of several real variables, including applications. Polar coordinates. Prerequisite: MATH 2A and MATH 2B. Mathematics 2D and H2D may not both be taken for credit.
School of Physical Sciences, School of Engineering, and School of Information and Computer Sciences majors have first consideration for enrollment. . (Design units: 0)

Required text: "Calculus or Multivariable Calculus" by James Stewart, 6th edition, UCI custom edition, ISBN 978-1111023096.

- 3-Dimensional Coordinate Systems
- Vectors
- Dot Product, Cross Product
- Equations of Lines and Planes
- Cylinders and Quadric Surfaces
- Vector Functions and Space Curves
- Derivatives and Integrals of Vector Functions, Arc Length
- Motion in Space: Velocity and Acceleration
- Functions of Several Variables
- Limits and Continuity
- Partial Derivatives
- Tangent Planes and Linear Approximations
- The Chain Rule
- Directional Derivatives and the Gradient Vector
- Maximum and Minimum Values
- Lagrange Multipliers
- Double Integrals over Rectangles
- Iterated Integrals
- Double Integrals over General Regions
- Double Integrals in Polar Coordinates
- Triple Integrals
- Triple Integrals in Cylindrical
- Triple Integrals in Spherical Coordinates

Meets for 3 hours of lecture and 2 hours of discussion each week for 10 weeks.

Contributes toward Mathematics and Basic Science

- Quizzes/Homework: 20%
- Midterms: 40%
- Final: 40%
- Total: 100%

Mathematics and Basic Science: 4.0 credit units

Computing: 0.0 credit units

Engineering Topics: 0.0 credit units

Engineering Science: 0.0 credit units

Engineering Design: 0.0 credit units