MAT235Y - CALCULUS FOR PHYSICAL AND LIFE SCIENCES II
Welcome to the 2002-2003 class!!
- Information about Term Test 3 is now posted
- New MAC hours are posted
- Solutions to term test #2 are now posted
- Solutions to term test #3 are posted
Test Average Information
|
Test 1 /100
|
Test 2 /100
|
Median
|
78
|
68
|
Mean
|
73
|
66
|
St. Deviation
|
19
|
19
|
Lectures:
SECTION |
DAY/TIME |
ROOM |
INSTRUCTOR |
L-0101 |
MWF/1 |
BR-200 |
S. Abou-Ward |
L-0201 |
MWF/2 |
AH-100 |
S. Uppal |
L-5101 |
T/6-9 |
RW-100 |
F. Recio |
Textbook:
"Multivariable Calculus" (fourth edition), by James Stewart. The "Students Solution Manual," by Dan Clegg and Barbara Frank is also recommended.
Course Description:
This is a second-year Calculus course. An understanding of some linear algebra and analytic geometry as well as the ability to visualize and draw 3-dimensional figures is always a very helpful basis when learning Multivariable calculus. We will be building and developing these relevant foundations during the first six weeks of classes by covering Ch. 11 "Parametric Equations and Polar Coordinates," Ch. 13 "Vectors and the Geometry of Space," and Ch. 14 "Vector Functions" of the textbook. The nest portion of the course is a longer period of about twelve weeks of classes. Ch. 15 "Partial Derivatives," Ch. 16 "Multiple Integrals," and Ch. 17 "Vector Calculus," will be covered during this twelve week period. This is the most important part of the course because these chapters contain the ideas and materials, which are the essence of basic multivariable calculus. Here we will generalize most of the fundamental concepts of elementary single variable calculus as well as their properties and applications to functions of two and more variables. At the end of the course, a brief selections of elements of Series and Differential Equations will be introduced, if time permits. Selected sections of Ch. 12 "Infinite Sequences and Series" and Ch. 18 "Second-Order Differential Equations" will be covered during this final period. In general, definitions, theorems and other relevant results will be stated precisely, mostly without proofs but with indications and analysis of the mathematical ideas involved, stressing geometric notions and their algebraic and analytical counterparts. Applications and problems to the Physical and Life Sciences will be discussed during the lectures.
Fall classes begin on September 9 and end on December 6. Winter term classes begin on January 6 and end on April 11. No classes will be held during Reading Week: February 17 - 21. Lectures will closely follow the textbook. Problem sets, consisting of exercises and problems mostly from the textbook, will be assigned during the lectures. Solutions to problem sets do not have to be submitted for marking. However, students are responsible for studying the textbook sections as they are covered and for doing the assignments as indicated by the instructors. Working with the course material on a daily basis will be essential to secure a better understanding of the lectures and to be prepared for evaluations.
Marking Scheme:
The course mark will be computed as follows:
Three term-tests (20 % each) 60%
Final Examination 40%
Total: 100%
The following links contain chapter specific information such as assigned problems, chapter primers and so forth.
I ALSO RECOMMEND FOLLOWING THIS LINK: (IT IS THE CALCULUS BOOK ONLINE)
Chapter 13 "Vectors and the Geometry of Space"
Chapter 15 "Partial Derivatives"
Chapter 16 "Multiple Integrals"
Chapter 18 "Second-order Differential Equations"
Term-Test Information
October 29, 2002 from 6pm-8pm.
Students with timetable conflicts will write the test on the same day from 4pm-8pm
LOCATIONS
Section L-0101 (Prof. Abou-Ward) writes the test in room CG-150 (Canadiana Gallery)
Section L-0201 (Prof. Uppal) writes the test in room CG-250 (Canadiana Gallery)
Section L-5101 (Prof. Recio) writes the test in room WW-111 (Woodsworth College)
The 4pm-6pm location, for students with timetable conflicts, will be written in room MS-3153 (Medical Sciences Building)
SOLUTIONS
Term-test #2: Tuesday January 14, 2003 from 6pm-8pm
Topics: CH 15 + CH 16 (sections 16.1 to 16.4).
Students with timetable conflicts will write the test on the same day from 4:00 p.m. to 6:00 p.m. 2.
LOCATIONS:
Section L-0101 (Prof. Abou-Ward) writes the test in room CG-150 (Canadiana Gallery)
Section L-0201 (Prof. Uppal) writes the test in room CG-250 (Canadiana Gallery)
Section L-5101 (Prof. Recio) writes the test in room WW-111 (Woodsworth College)
The 4:00 p.m. to 6:00 p.m. test, for students with timetable conflicts from any of the above sections, will be written in room MS-3153 (Medical Sciences Building).
ABOUT THE TEST:
Topics to be covered: textbook chapters 15 (all), and 16 (sections 16.1, 16.2, 16.3, and 16.4). Duration: 2 hours. Value: 20% of course mark. Aids allowed: calculators or any other aids are not allowed.
If you missed class or didn't get the new handout, here is a copy for download.
Solutions for the test are available here for download.
Term-test #3: March 4, 2003 from 6pm-8pm.
Students with timetable conflicts will write the test on the same day from 4:00 p.m. to 6:00 p.m.
2. LOCATIONS.
Section L-0101 (Prof. Abou-Ward) writes the test in room CG-150 (Canadiana Gallery)
Section L-0201 (Prof. Uppal) writes the test in room CG-250 (Canadiana Gallery)
Section L-5101 (Prof. Recio) writes the test in room WW-111 (Woodsworth College)
The 4:00 p.m. to 6:00 p.m. test, for students with timetable conflicts from any of the above sections, will be written in room MS-3153 (Medical Sciences Building).
3. ABOUT THE TEST.
Topics to be covered: textbook chapters 16 (sections 16.5, 16.6, 16.7, 16.8 , 16.9) and 17 (sections 17.1, 17.2, 17.3, 17.4, 17.5). Duration: 2 hours. Value: 20% of course mark. Aids allowed: calculators or any other aids are not allowed.
Also, available for download is the handout given out in class.
If you have a problem of administrative nature, please contact F. Recio ( NC-064, phone (416) 978-2438), who is the coordinator for this course.
MATH AID CENTERS
Sidney Smith Math Aid Center
Location: Sidney Smith Building, room SS-1071 Hours of operation: Posted outside room SS-1071 Note: A tutor for MAT235 is available at this location every Wednesday from 12 noon to 2pm and every Thursday fro 4pm to 6pm.
Victoria College Math Aid Center
Location: Victoria College Building, room 06. Hours of operation: Monday to Thursday from 12 noon to 3pm.
St. Michael's Math Aid Center
Location: John M. Kelly Library, room 321 Hours of operation: Monday to Thursday from 12 noon to 3pm
Woodsworth College Math Aid Center
Location: Woodsworth College Building, room 115 Hours of operation: Posted outside the room
University College Math Aid Center
Location: University College Building, room 048 (basement) Hours of operation: Posted outside the room
New College Math Aid Center
Location: New College Building (basement) Hours of operation: Posted outside MAC room
This link is to a map of the St.George campus: http://www.osm.utoronto.ca/map
OLD TERM TESTS
Term tests can only be viewed with Adobe Acrobat. To download please follow this link ACROBAT READER 4.0.
Term Test 1 1995-1996 has been split into two parts Part1 Part2
Term Test 1 1997-1998 has been split into two parts Part1 Part2
Term Test 1 2000-2001 Note: Please download the two graphs that did not scan for question 6. Graphs
Term Test 1 2001-2002 Part 1 Part 2
Sample Term Test 2 questions from class
Term Test 2 January 1995 has been split into two parts Part1 Part2
Term Test 2 January 1996 has been split into two parts Part1 Part2
Term Test 2 2001-2002 Problems Solutions
Term Test 3 for 1995 is in two parts Part 1 Part 2
Term Test 3 1998 NOTE: The textbook used during this year was different than the one used now. Some questions will not apply to this year.
Term Test 3 2001-2002 Problems Solutions
Final Exam 1994 has two parts Part 1 Part 2
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