The following list identifies potential topics (and corresponding sections of the textbook) from which questions may be selected for Exam I on Tuesday, February 20:
Taylor Series
(§ 1.2)
Number Representations,
Base Conversion (§ 2.1)
Floating-Point
Representation, Errors, Machine Epsilon, Underflow, Overflow (§ 2.2)
Loss of Significance
from Subtraction (§ 2.3)
Bisection Method (§ 3.1)
Newton Method (§ 3.2)
Secant Method (§ 3.3)
Convergence Rates of
Nonlinear Equation Solvers (§ 3.1-3.3)
Polynomial Interpolation,
Existence Thm., Nested Form, Lagrange Interpolation (§ 4.1)
Polynomial Interpolation Error
Theorems (1 & 2) (§ 4.2)
Derivate Estimation by
Differencing Formulas, Truncation Errors, Richardson Extrapolation
(§ 4.3)
Lower/Upper Sum Definite
Integral Approximation, Mesh Determination (§ 5.1)
Trapezoid & Composite
Trapezoid Rule, Mesh Determination (§ 5.2)
Labs 1-4 Material,
Simple Matlab Programming