Option 1: Chap 1, 2, 6, 7, 10

Option 2: Chap 1, 2, 3, 4, 6

Chap 1: Mathematical Preliminaries and Error Analysis (print)
  1.2: Rounding Errors and Computer Arithmetic
  1.3: Algorithms and Convergence

Chap 2: Solutions of Equations in One Variable (print)
  2.1: Bisection
  2.2: Fixed Point Iteration
  2.3: Newton's method
  2.4: Error Analysis for Iterative Methods
  2.5: Accelerating Convergence
  2.6: Muller's Method

Chap 3: Interpolation and polynomial approximation
  3.1: Interpolation and Lagrangian polynomial
  3.2: Divided Difference
  3.3: Hermite Interpolation
  3.4: Cubic Spline Interpolation

Chap 4: Numerical differentiation and integration
  4.1: Numerical Differentiation
  4.2: Richardson Extrapolation
  4.3: Elements of Numerical Integration
  4.4: Composite Numerical Integration

Chap 6: Direct Methods for Solving Linear Systems  (print)
  6.1: Linear System of Equations
  6.2: Pivoting Strategies
  6.5: Matrix Factorization
  6.6: Special Types of Matrices

Chap 7: Iterative Techniques in Matrix Algebra (print)
  7.3: Iterative Techniques for Solving Linear Systems
  7.4: Error bounds and Iterative Refinement
  7.5: The Conjugate Gradient Method

Chap 10: Numerical Solutions of Nonlinear Systems of Equations (print)
  10.1: Fixed Points for Functions of Several Variables
  10.2: Newton's Method
  10.3: Quasi-Newton Methods
  10.4: Steepest Descent Techniques

Chap 5: Initial-Value Problems for Ordinary Differential Equations