# Summer 2023 - MATH 251 D400

## Overview

• #### Course Times + Location:

May 8 – Aug 4, 2023: Mon, Wed, Fri, 9:30–10:20 a.m.
Surrey

• #### Exam Times + Location:

Aug 11, 2023
Fri, 12:00–3:00 p.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
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

• Assignments 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.

## Materials

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

Students purchase a 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. Multi-term WebAssign access purchased for MATH 150/151 or 152 in the Fall 2022 term or Spring 2023 terms will continue to be valid for use in MATH 251 and 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

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.