School of Mathematics
School of Mathematics
Course 1S1 - Mathematics for Science students 2002-03 (JF Mathematics as a whole subject within the Natural Science
Moderatorships. JF Human Genetics. JF Computational Physics and Chemistry.
JF Medicinal Chemistry. JF Physics & Chemistry of Advanced Materials.
)
Lecturer: Dr. J.M.Drummond
Requirements/prerequisites: None
Duration:
Number of lectures per week: 2 lectures per week in Michaelmas Term, 2.5 in Hilary and
Trinity Terms, plus a tutorial every third week.
Assessment: Work during the year counts 0% towards the final result.
End-of-year Examination: Three hour exam. Result is combined with results of 1S2/4 and
1S3.
Description:
- Differentiation of functions of one variable.
Anton (Calculus): Chapters 2-3. Chapter 1, sections 1.1, 1.2, 1.4
assumed known.
- Antiderivatives and integration.
Anton (Calculus): 7.1-7.5, 7.8.
- Trigonometric and hyperbolic functions, and the corresponding inverse
functions; logarithmic function, exponential function.
Anton (Calculus): 3.4 and Chapter 4. Also part of 7.6.
- Introduction to partial derivatives.
Anton (Calculus): Part of 15.3
- Polynomials, sequences and series, including simple convergence tests.
Anton (Calculus): 11.1-11.6, 11.8.
- Complex numbers.
Essential Reference
- Howard Anton, Calculus: a new horizon
(6th edition), Wiley, 1998.
Mar 24, 2003
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On 24 Mar 2003, 15:44.