# Fall 2020 - MATH 251 D200

## Overview

• #### Course Times + Location:

Mo, We, Fr 8:30 AM – 9:20 AM
REMOTE LEARNING, Burnaby

• #### Exam Times + Location:

Dec 12, 2020
12:00 PM – 3:00 PM
REMOTE LEARNING, Burnaby

• #### Prerequisites:

MATH 152; or MATH 155 or MATH 158 with a grade of at least B. Recommended: It is recommended that MATH 240 or 232 be taken before or concurrently with MATH 251.

## Description

#### CALENDAR DESCRIPTION:

Rectangular, cylindrical and spherical coordinates. Vectors, lines, planes, cylinders, quadric surfaces. Vector functions, curves, motion in space. Differential and integral calculus of several variables. Vector fields, line integrals, fundamental theorem for line integrals, Green's theorem. Quantitative.

#### COURSE DETAILS:

This course will be delivered online. You are expected to have access to a reliable internet connection. You will need a computer from which you can download course materials and activities and watch live and/or recorded lectures and participate in live tutorials or workshops.

You will need a camera to take photographs of your work. A phone is acceptable.

#### Topics covered

Vectors and Geometry of Space:
• Three Dimensional Coordinate System
• Vectors
• The Dot Product
• The Cross Product
• Equations of Lines and Planes

Vector Functions:
• Vector Functions and Space Curves
• Derivatives and Integrals of Vector Functions
• Arc Length and Curvature
• Motion in Space

Partial Derivatives:
• 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 and Constrained Maximum and Minimum Problems

Multiple Integrals:

• Double Integrals over Rectangles
• Iterated Integrals
• Double Integrals over General Regions
• Double Integrals in Polar Coordinates
• Applications of Double Integrals
• Triple Integrals
• Triple Integrals in Cylindrical Coordinates
• Triple Integrals in Spherical Coordinates
• Change of Variables in Multiple Integrals

Vector Calculus:
• Vector Fields
• Line Integrals
• The Fundamental Theorem for Line Integrals
• Green's Theorem

#### Course Delivery

•  Lecture: synchronous- lectures will be held at fixed times, on-line
•  Midterm(s): synchronous; date: TBA
•  Final exam: synchronous; date: TBA

• Quizzes 10%
• Online Assignments (WebAssign) 5%
• Midterm 1 17.5%
• Midterm 2 17.5%
• Final Exam 50%

#### NOTES:

THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights  to confidentiality concerning the return of course papers and the posting of marks.
Please pay careful attention to  the options discussed in class at the beginning of the semester.

#### REQUIREMENTS:

• Ability to scan documents (phone app acceptable)

## Materials

Calculus: Early Transcendentals, 8th Edition Textbook, by James Stewart, packaged with Multi-term Enhanced WebAssign [Text + EWA/eBook]

*Please Note: If you have purchased the above package within the last 5 years, do not purchase again!

ISBN: 9781305597624