# Fall 2024 - MATH 251 D400

## Overview

• #### Course Times + Location:

Sep 4 – Dec 3, 2024: Mon, Wed, Fri, 8:30–9:20 a.m.
Surrey

Oct 15, 2024: Tue, 8:30–9:20 a.m.
Surrey

Justin Chan
jhc34@sfu.ca
• #### 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
• Cylinders and Quadric Surfaces
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

## Grading

• 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

#### REQUIRED READING:

Calculus: Early Transcendentals, 9th Edition
James Stewart
Multi-term Enhanced WebAssign & Electronic Textbook Access

Students purchase a multi-term WebAssign license which includes access to the electronic version of the textbook and WebAssign assignments. WebAssign assignments are part of the marking scheme for the course.

Access to WebAssign and the Stewart 9th edition electronic textbook continues for the duration of departmental use of the 9th edition. WebAssign access purchased for MATH 150/MATH 151 in Fall 2022 will be valid for use for MATH 152/MATH 251 if taken within the next 2-4 years. No further WebAssign purchase will be required.

Buying a hard copy of a previous edition of this textbook will not provide access to the current 9th Edition Stewart WebAssign problems.

ISBN: 9781305597624

#### REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

#### Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the university community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the university. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the university. http://www.sfu.ca/policies/gazette/student/s10-01.html

RELIGIOUS ACCOMMODATION

Students with a faith background who may need accommodations during the term are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.