- Review of graphing functions
- Newton's Method
- Limits
- The definition of derivatives as limits
- Derivatives of polynomials
- The Product Rule
- The Quotient Rule
- The Power Rule
- The Chain Rule
- Applications of derivatives :
a) Increasing and decreasing functions
b) Critical numbers and points
c) Maximum & minimum values of functions on a closed interval
d) Concavity and points of inflection
e) Curve sketching
f) Rational functions and their graphs
g) Equations of tangent lines
- Maximum & minimum problem solving
- Implicit differentiation
- Related rates problem solving
- Position, velocity, and acceleration
- Derivatives of exponential and logarithmic functions
- Logarithmic differentiation
- Derivatives of trigonometric functions
- Anti-derivatives and integration
- Integration by parts and substitution
- Area under curves
- Area between curves
Grading :
Course Grade :
Term 1 = 40 %
Term 2 = 40 %
Final Exam = 20 %
Term Grade :
Assignments = 15 %
Tests = 85 %
Assignments : Will be collected on a regular basis and be graded on the basis of completion. A
completed assignment will be handed in on time, be self-corrected, contain all the
required work, and have all the assigned questions. Marks will be given for late
assignments as long as they are handed in before the unit test.
Tests : Any missed test must be made up as soon as possible. Any test not made up will be given
a score of "0".
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