School of Mathematics
MA1E01 - Engineering Mathematics I
2011-12 (JF Engineers, MSISS. MEMS
)
Lecturer: Prof. P. Taylor
Requirements/prerequisites:
Duration:
Number of lectures per week: Michaelmas Term, 12 weeks
Assessment:
ECTS credits: 5
End-of-year Examination:
Description:
Textbooks:
Learning
Outcomes:
On successful completion of this module, students will be able to:
- Determine whether a particular map or a particular graph
represents a function, take sums, differences,
products, quotients and compositions of functions and find their
domains and ranges.
- Compute limits of various functions by applying the laws of
limits or the Squeezing Theorem and prove
certain limits rigorously by applying the "epsilon-delta"
formalism.
- Determine whether functions are continuous or differentiable at
particular values or on particular
intervals.
- Apply the various techniques of differentiation such as the
product, quotient and chain rule as well as
implicit differentiation.
- Solve a variety of problems involving the derivative function
including finding the equation of a
tangent line to a curve, related rates problems, local linear
approximations, maximum and minimum problems,
approximating roots and sketching curves.
- Approximate the area under a curve by Riemann sums and compute
exactly the area by using the
anti-derivative.
- Solve a variety of problems involving integration such as
solving simple ODEs, area problems and
problems involving particles in rectilinear motion.
Nov 10, 2011
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On 10 Nov 2011, 10:34.