The unit begins with a consolidation of the student's knowledge of basic algebra including the solution of linear, polynomial, exponential and logarithmic equations. Calculus topics include limits, differentiation, integration, integration techniques, definite integral and the fundamental theorem of calculus. Applications of calculus include optimisation problems, related rates, area and volumes between curves; and separable first order differential equations.
|1.||Solve and graph variety of mathematical functions.|
|2.||Perform basic differentiation and integration.|
|3.||Apply calculus techniques to engineering-related problems.|
|Assignment||Two sets of engineering related problems||20%|
|Test||Three in-class tests/quizzes||45%|
The Calculus Lifesaver 1st ed
Adrian Banner (2017)
Princeton University Press
Calculus Volume 1
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