School of Mathematics School of Mathematics
Course 1BA1 - JF Computer Science/CSLL Mathematics (135) 2000-01 (JF Computer Science )
Lecturer: Colm Ó Dúnlaing
Requirements/prerequisites: None

Number of lectures per week: 2 + 1 tutorial

Assessment: 20 homeworks; 2-hour tests at beginning of Hilary and Trinity terms.
End-of-year Examination: One 3-hour paper


Coordinate geometry. Lines in 2 dimensions. Points, vectors, and displacements in 2 dimensions. Scalar products. Bases of coordinate systems. Vectors in 3 dimensions. Planes. Linear maps. Cross products. Rotations in 3 dimensions. Gauss-Jordan elimination. Invertible matrices. Bases and coordinate systems. Permutations and signatures. Determinants. Cofactor expansions. Adjoint form of inverse. Cramer's Rule. Row space, column space, kernel. Product rule for determinants.

Limits and continuity. Derivatives. Differentiation rules. Tangent line. Graph sketching. Taylor's series. Taylor's Theorem. Integration.

Ordinary differential equations (separable and linear). Recurrences. Linear recurrences. Second order differential equations and recurrences.

Newton-Raphson method with error estimates. Approximate integration: Trapezoidal formula and Simpson's Rule.

Textbook. Elementary Linear Algebra, by Howard Anton. (Not a required text.)

Oct 11, 2000

File translated from TEX by TTH, version 2.70.
On 11 Oct 2000, 11:48.