Instructor: | Jim Bryan |
Email: | jbryan@math.ubc.ca |
Office: | MATH 226 |
Office Hours: | Tuesday 12:00pm - 2:00pm |
Lectures: | Tues, Thurs, Fri 10:00-11:50, Wed 10:00-10:50 LSK 200 |
Grader: | Juan Camilo Fiallo |
PRIMARY TEXTBOOK
At times, especially in the last few weeks of the course, I will also refer to the following secondary online textbooks.
SECONDARY TEXTBOOK #2
Our reference and use of these free online textbooks will be in accordance with the creative commons liscence. In addition to these, any standard textbook in multivariable calculus will also serve as a reference for most of the topics in this course. This includes the textbook by Stewart, used for this course in recent past years.
The site is here.
Reload this page regularly for updates.
Week 1: Introduction, Three dimensional coordinate
systems,
vectors, Dot product, Cross Product, Equations of lines and planes, cylinders, and quadric surfaces, Functions of several variables.
Assignment due Friday, May 19th:
Chapt 10.1 #7, 9, 19, 21, 23, 25,
Chapt 10.2, # 7, 9, 21, 23, 25,
Chapt 10.3 # 13, 15, 17, 21, 23,
Chapt 10.4 # 7, 9, 13, 17, 19, 25, 27, 33, 35,
Chapt 10.5 # 5, 11, 23, 27
Week 2: Partial derivatives, tangent planes, linear approximation, Chain rule
Assignment Due Tuesday May 23rd:
Chapt 10.6 # 7, 9, 11, 13, 21, 23, 27, 29,
Chapt 12.1 # 8, 9, 10, 13, 14, 15, 16, 17, 18, 19, 24, 25, 28, 29,
Chapt 12.2 # 15, 16, 17
Assignment Due Friday May26th:
Chapt 12.3 # 5, 6, 7, 8, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 27, 28, 29, 30,
Chapt 12.4 # 5 through 12.
Chapt 12.5 # 10, 11, 12, 16, 17, 18, 19, 20, 21, 22, 27, 28, 29, 30
Midterm 1, Wednesday May 31st, held in class Midterm will cover up to section 12.5 (also the part of section 12.7 pertaining to tangent planes). See the below list of learning expectations for details.
List of learning expectations for midterm 1 is here
Practice midterm and review problems can be found here.
Solutions to the first midterm
Week 3: Directional derivatives, gradient, maximum and minimum values, Lagrange multipliers.
No assignment due Tuesday May 30th. Midterm May 31st.
Assignment due Friday June 2nd.
Chapter 12.6 # 7--10, 13--16, 19--22, 25--28
Chapter 12.7 # 5, 6, 9, 10, 13, 14, 17, 18, 23, 24
Week 4 : Double integrals over rectangles, iterated integrals, double integrals in polar coordinates, surface area,
applications
Assignment due Tuesday June 6th:
Chapter 12.8 # 8--14, 15--18,
also read Chapter 14.8 in Whitman and do and exercises 3, 5, 6, 7, 12, 15 on pages 382-383 of Whitman.
Assignment due Friday June 9th.
Chapt 13.1 # 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22
Chapt 13.2 # 7, 8, 9, 10, 11, 12, 15, 16, 17, 18, 19, 20, 21, 22
Midterm 2, Wednesday June 14th, held in class
Midterm will cover up to section 13.3 in the Apex book. It will also include Lagrange multipliers (Chapter 14.8 in Whitman ).
A detailed list of learning expectations can be found here.
Practice midterm and review problems can be found here.
Solutions to the second midterm
Week 5 : Applications of double integrals continued, triple integrals
assignment: No homework Due Tuesday June 13th due to midterm.
Assignment due on Friday June 16th:
Chapter 13.3 # 7, 8, 9, 10, 11, 12, 13, 14
Chapter 13.4 # 23, 24, 25, 26
Chapter 13.5 # 11, 12, 13, 14, 15, 16, 17
Week 6 : Triple integrals in cylindrical and spherical coordinates
Assignment due on Tuesday June 20th:
Chapter 13.6 # 9, 10, 11, 12, 13, 14, 15, 16. Whitman Chapter 15.6 # 3, 4, 5, 6.
Assignment due on Thursday June 22nd:
Whitman Chapter 15.6 # 7, 8, 9, 10, 11, 12, 13, 14, 15.
The final will take place on June 27th, from 3:30 until 6:30. Location: Hebb 100.
The final will cover all topics of the term with some emphasis on
topics which have not yet been tested by the midterms. For details, please see the learning expectation links for midterms 1 and 2, along with the following topics: double and triple integrals (including switching orders of integration and setting up integrals in polar, cylindrical, and spherical coordinates), and applications of double and triple integrals (surface area of graphs, volume of a solid, mass of a solid with given density function, center of mass).
Review materials for the final can be found here.
Solutions to the final exam.