THE UNIVERSITY OF WESTERN ONTARIO
LONDON CANADA
DEPARTMENT OF MATHEMATICS
Mathematics 030
2006-2007
NOTE: Many science/technically oriented courses and programs, at both Western and other universities, require a full-year calculus course (such as our Calculus 050a followed by 051b). Mathematics 030 (half calculus, half linear algebra) may not be appropriate. Furthermore, Mathematics 030 is not a suitable prerequisite for Calculus 051a/b or 081a/b.
INSTRUCTORS: C. Florence (Brescia), J. Florence, P. Milnes, S. Kuzmin (Huron).
COURSE COORDINATOR: J. Florence
TEXTBOOK: 1. (First Term) Calculus with Applications by Dale Varberg and Walter Fleming (soft cover) published by Prentice Hall. (Only the sections to be used in Mathematics 030 appear in this book.)
OR
Calculus with Applications by Dale Varberg and Walter Fleming (ISBN 0-13-1108263), published by Prentice Hall. (This hard cover version of the textbook is out of print and may be available at the Used Book Store.)
(Optional) Student Solutions Manual, by Louis A. Guillou, to accompany Calculus with Applications by Dale Varberg and Walter Fleming, may also be available at the Used Book Store.
2. (Second Term) Elementary Linear Algebra, Fourth Edition, by Stewart Venit and Wayne Bishop, published by PWS-Kent. ISBN 0-534-95190-2.
OR choose the following Custom Package if it is available (these will only be available from the Used Book Store):
ITP Custom Courseware extract from the text Elementary Linear Algebra, Fourth Edition by Stewart Venit and Wayne Bishop, published by PWS-Kent.
ISBN 0-534-49714-4. Be sure to purchase the version for Mathematics 030, i.e. the version which contains Chapters 2,3,4,5.
(Optional) Student Solutions Manual for Elementary Linear Algebra, Fourth Edition, by Stewart Venit and Wayne Bishop, published by PWS-Kent.
3. (Both Terms, Optional) CCM MAT 030: Solutions to the Suggested Exercises.
PREREQUISITES: OAC Calculus or Grade 12U Advanced Functions and Introductory Calculus (MCB4U), or Mathematics 012a/b.
Unless you have either the requisites for this course or written special permission from your Dean to enroll in it, you will be removed from this course and it will be deleted from your record. This decision may not be appealed. You will receive no adjustment to your fees in the event that you are dropped from a course for failing to have the necessary prerequisites.
ANTIREQUISITES: Calculus 050a/b, 051a/b, 081a/b, Linear Algebra 040a/b, Applied Mathematics 025a/b, 026, 213b, Mathematics 031, 200a/b, 283b; the former Mathematics 202a, 203b.
COURSE OUTLINE: Logarithmic, exponential and trigonometric functions; theory of integration, elementary techniques of integration, applications of integration (e.g., area, volume); functions of several variables (Lagrange Multipliers); improper integrals; differential equations; applications to probability.
Vectors in Rn; matrix algebra including multiplication and inverses; systems of linear equations; determinants; vector spaces in Rn , subspaces, bases, linear independence.
WHAT IS EXPECTED OF THE STUDENT?
Students should attend all classes, make a serious effort to understand all new concepts and do the homework. The student must assume responsibility for missed classes.
EVALUATION OF STUDENT PERFORMANCE:
There will be two thirty-minute multiple choice tests, each worth 10%, in class time; a 3-hour multiple choice mid-year examination, worth 40%, during the December examination period; and a 3-hour multiple choice final examination, worth 40%, during the April/May examination period. The in class tests are tentatively scheduled for Wednesday, October 11, 2006 and Wednesday, January 31, 2007.
NOTE: There will be no "make-up" tests for either of the two in-class term tests. If a test is missed (due, for example, to illness), the instructor may give permission to increase the weighting of the mid-year or final examination. It is up to the student to make such a request and provide appropriate documentation to the instructor as quickly as possible.
Cheating on an examination is a Scholastic Offense, for which penalties are potentially severe. On multiple-choice tests, computer software may be used to check for unusual coincidences in answer patterns that may indicate cheating.