Instructor: Ada Chan
email: ssachan@yorku.ca
Office: TEL 2036
Tel: (416) 736-2100 x30109
Office Hours: Tuesday and Thursday 4 p.m. to 5 p.m., or by appointment.
Tutorial:
Tutor: Xiaoxi Duan
Time: 6 p.m. to 7 p.m. Tuesday starting on Sept. 22, 2015.
Place: LAS B
Math/Stats Lab:
The Math/Stats Lab
provides tutorial help for courses in Mathematics and Statistics at
the first and second year level.
Time: 10:30 a.m. to 3:30 p.m. starting on TBA.
Place: S525 Ross.
Course Webpage and Moodle:
We will post course information, announcements and homework assignments in
Moodle (Math 1300 B).
You are expected to check this website or moodle weekly.
Text:
Calculus: Early Transcendental, 8th Edition
James Stewart, Brooks/Cole.
WebAssign class key: yorku.ca 1038 5945
The 7th and 8th Edition will be put on reserves (Math 1300) in the Steacie Library.
Grading:
| Test 1 | Oct. 6 (in class) | 15% |
| Test 2 | Oct. 27 (in class) | 15% |
| Test 3 | Nov. 24 (in class) | 15% |
| Weekly online assignments (WebAssign) | 15% | |
| Final Examination | 40% |
A GREAT discovery solves a great problem, but there is a grain of discovery in the solution of any problem.
Your problem may be modest, but if it challenges your curiosity and brings into play your inventive faculties,
and if you solve it by your own means, you may experience the tension and enjoy the triumph of discovery.
George Pólya, How to solve it
Course Description:
Differential calculus is the study of how quantities change.
Although the concepts are introduced to study the geometry of curves, applications can be made to the
sciences, engineering and economics.
After a brief review of functions and trigonometry, limits are defined and computed.
Continuous functions are defined, and the Intermediate Value and Maximum Value Theorem are stated.
The derivative is defined as a limit and is used to study tangent lines to curves as well as motion along a
straight line.
The Mean Value Theorem and L'Hopital's Rule are studied.
Applications are made to curve sketching, related rates problems and maxima-minima.
The definite integral is defined to compute area, and its properties are determined.
The Fundamental Theorems of Calculus are proved and applied to evaluate definite integrals.
Look at a stone cutter hammering away at his rock,
perhaps a hundred times without as much as a crack showing in it.
Yet at the hundred-and-first blow it will split in two,
and I know it was not the last blow that did it, but all that had gone before.
Jacob August Riis
Beware: hard work and fustration ahead.
Let's hammer away together.
Prerequisites: SC/MATH 1515 3.00 SC/MATH 1520 3.00 or SC/MATH 1710 6.00 or a high school calculus course.
Prior to Fall 2009:
AS/SC/MATH 1515 3.00 AS/SC/MATH 1520 3.00 or AK/MATH 1710 6.00 or a high school calculus course.
Course credit exclusions: SC/MATH 1000 3.00, SC/MATH 1013 3.00, SC/MATH 1505 6.00, SC/MATH 1513 6.00, SC/MATH 1530 3.00, SC/MATH 1550 6.00, GL/MATH/MODR 1930 3.00, AP/ECON 1530 3.00.
Prior to Fall 2009:
AS/SC/MATH 1000 3.00, AS/SC/MATH 1013 3.00, AS/SC/MATH 1505 6.00, AS/SC/MATH 1513 6.00, AS/MATH 1530 3.00, AK/AS/MATH 1550 6.00, GL/MATH/MODR 1930 3.00, AS/ECON 1530 3.00.
Don't just read it; fight it!
Ask your own questions, look for your own examples, discover your own proofs.
Is the hypothesis necessary?
Is the converse true?
What happens in the classical special case?
What about the degenerate cases?
Where does the proof use the hypothesis?
Paul Halmos, I want to be a Mathematician
Important Dates:
Miscellaneous Announcement: