MATH 105A: NUMERICAL ANALYSIS I

Note 1: Review of Calculus

Note 2: Review of Calculus (continued) / Round-Off Errors and Computer Arithmetic

Note 3: Nested Arithmetic

Note 4: Algorithms and Convergence

Note 5: The Bisection Method

Note 6: The Bisection Method (continued) / Fixed-Point Iteration

Note 7: Fixed-Point Iteration (continued) / Newton's Method and Its Extensions

Note 8: Secant Method / Linear Systems of Equations

Note 9: Newton's Method in Optimization

Note 10: Pivoting Strategies

Note 11: Linear Algebra and Matrix Inversion

Note 12: The Transpose of Matrices and Determinant

Note 13: Linear Systems

Note 14: LU Decomposition

Note 15: Norms of Vectors and Matrices / Eigenvalues and Eigenvectors

Note 16: The Iterative Techniques / Linear Algebra and Eigenvalues

Note 17: Gram-Schmidt Process / The Power Method

Quiz 1 (Sol): Review of Calculus

Quiz 2 (Sol): Round-Off Errors and Computer Arithmetic

Quiz 3 (Sol): The Bisection Method / Fixed-Point Iteration

Quiz 4 (Sol): Newton's Method / Linear Systems of Equations

Group Quiz 5: Pivoting Strategies

Quiz 6 (Sol): Linear Algebra and Matrix Inversion / The Transpose of Matrices and Determinant

Quiz 7 (Sol): Linear Systems / LU Decomposition

Quiz 8 (Sol): Norms of Vectors and Matrices / Eigenvalues and Eigenvectors / Gram-Schmidt Process