Cape
Breton University
School
of Science and Technology
Differential and Integral
Calculus I
Math 121 (Winter 2010) Course
Outline
Instructor: Dr. George Chen
Office: A129 G
Phone: 563-1825
Email: george_chen@cbu.ca
Webpage: http://courseware.cbu.ca/moodle
(homework and solutions)
Office hour: Mon., Wed. Fri. 10:30-11:20; Mon. Tue. 1:30-2:20
Textbook: Calculus – Single Variables – 6th Edition
Author: Robert
A. Adams.
Major topics include:
- Velocity,
growth rate, area, limits of functions, one-sided limits, limit at infinity, infinity limit and
continuity, continuous extensions
and removable discontinuities, continuous functions on closed, finite
intervals, formal definition of limits and proofs.
- Tangent
lines and their slopes, definition of derivative, basic differentiation
formulae and chain rule.
- Mean
Value Theorem, increasing/decreasing functions, using derivatives,
higher-order derivatives, implicit differentiation, velocity, acceleration and falling under gravity, and using
Maple for derivatives.
- Related rates, extreme values,
concavity and inflections, the
first and second derivative test,
sketching the graph of a function, Newton’s method, linear approximations.
- Antiderivatives,
differential equations and initial value problems, areas as limits of sums, and
definition of the definite integral.
Marking Scheme:
Assignments
15%
2 Midterms (20% each) 40%
Final
45%
Each of the midterms will be written during the lab time on
Tuesday from 2:30-3:45pm.
Remark:
Your class attendance will affect
your final grade.