School of Mathematics
School of Mathematics
Course 1S1 - Mathematics for Science students 2005-06 (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. S. A. Cherkis
Requirements/prerequisites: None
Duration:
Number of lectures per week: 2 lectures per week
plus a tutorial every other week.
Assessment: Work during the year counts 10% towards the final result.
End-of-year Examination: Three hour exam. Result is combined with results of 1S2 and
1S3.
Description:
- Functions
Anton (Calculus): Chapters 1 Sections 1.1, 1.3-1.6
- Limits and Continuity
Anton (Calculus): Chapter 2
- Differentiation of functions of one variable.
Anton (Calculus): Chapter 3.
- Antiderivatives and integration.
Anton (Calculus): Chapter 5, Chapter 6 Sections 6.5-6.8, and
Chapter 8 Sections 8.1-8.4.
- Trigonometric and hyperbolic functions, and the corresponding
inverse functions; logarithmic function, exponential function.
Anton (Calculus): Chapter 7.
- Modeling with Differential Equations
Anton (Calculus): Chapter 9
- Polynomials, sequences and series, including simple convergence
tests.
Anton (Calculus): Chapter 10.
- Introduction to partial derivatives.
Anton (Calculus): Chapter 14
- Complex numbers.
Essential Reference
- Howard Anton, Irl Bivens, and Stephen Davis, Calculus,
Eighth Edition, Wiley, 2005; ISBN 0471 728608.
Jan 30, 2006
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On 30 Jan 2006, 21:16.