Fall 2022 - MATH 251 D100

Overview

• Course Times + Location:

Mo, We, Fr 8:30 AM – 9:20 AM
WMC 3520, Burnaby

• Exam Times + Location:

Dec 14, 2022
8:30 AM – 11:30 AM
SSCB 9201, Burnaby

• Prerequisites:

MATH 152 with a minimum grade of C-; 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:

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
•  Midterm(s): date(s) TBA
•  Final exam: date: TBA

• Quizzes 15%
• Online Assignments (WebAssign) 5%
• Midterm 1 15%
• Midterm 2 15%
• 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:

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient).

Some workshop hours may be offered in virtual (Zoom) format. See your Canvas course for more details on workshop hours.

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