CSCC51S Numerical Approximation, Integration and Ordinary Differential Equations: Expected Background

• General: Ability to handle notation and to do algebraic manipulation.
• Calculus: Differentiation and integration of polynomial, trigonometric, exponential, logarithmic and rational functions, continuity, limits, graphs of functions Taylor series, Rolle's theorem, mean-value theorem, de l' Hospital's rule, etc.
• Linear Algebra: Matrix and vector addition and multiplication, elementary row operations, linear (in)dependence, inverse matrix, etc.
• Numerical Linear Algebra (included in CSCC50): Linear solvers for banded and sparse matrices, sparse matrix storage schemes, Discrete least-squares approximation, Nonlinear equations solvers.
• Computational methods: Understanding of round-off error, computer arithmetic, etc.
• Programming: knowledge of some conventional programming language, preferably Fortran or C as well as some familiarity with Matlab.
• Other Mathematics: induction.