MATH/APPM 4650
Intermediate Numerical Analysis
Projects:
(Due Wednesday, May 9. Choose one.)
Exam:
Homework:
- Homework 1 solutions (Sections 1.1 and 1.2)
- Homework 2 solutions (Sections 1.3 and 2.1)
- Homework 3 solutions (Sections 2.2, 2.3, and 2.4)
- Homework 4 solutions (Sections 2.5, 2.6, and 3.1)
- Homework 5 solutions (Sections 3.3 and 3.4)
- Homework 6 solutions (Sections 3.5, 4.1, and 4.2)
- Homework 7 solutions (Sections 4.3, 4.4, 4.5, and 4.6)
- Homework 8 solutions (Sections 5.1, 5.2, and 5.3)
- Homework 9 solutions (Section 5.4)
- Homework 10 solutions (Section 5.6)
- Homework 11 solutions (Sections 5.7, 5.10, and 5.11)
- Homework 12 solutions (Sections 6.1 and 6.2)
- Homework 13 solutions (Sections 6.3, 6.5, and 6.6)
Class notes:
- May 2: Chapter 6 Review
- April 30: (Section 6.6) Special matrices
- April 25: (Section 6.4-6.5) Determinants and LU factorization
- April 23: (Section 6.2-6.3) Pivoting strategies and linear algebra/inverses
- April 20: (Section 6.1) Gaussian elimination
- April 18: Chapter 5 Review
- April 16: (Section 5.11) Stiff differential equations
- April 13: (Section 5.10 continued)
- April 11: (Section 5.10) Stability and convergence
- April 9: (Sections 5.5 and 5.7) Adaptive methods
- April 6: (Section 5.6) Adams-Moulton methods
- April 4: (Section 5.6) Adams-Bashforth methods
- April 2 (Section 5.4) Runge-Kutta continued
- March 23: (Section 5.4) Runge-Kutta methods
- March 21: PROJECT DESCRIPTIONS
- March 19: (Section 5.3) Taylor methods
- March 16: (Section 5.2) Euler's method
- March 14: (Section 5.1) Theory of ODEs
- March 12: MIDTERM EXAM
- March 9: REVIEW
- March 7: (Section 4.6) Adaptive integration
- March 5: (Section 4.5) Romberg integration
- March 2: (Section 4.4) Composite numerical integration
- February 29: (Section 4.3) Elements of numerical integration
- February 27: (Section 4.2) Richardson's extrapolation
- February 24: (Section 4.1) Numerical differentiation
- February 22: (Section 3.5) Splines
- February 20: (Section 3.4) Hermite polynomials
- February 17: (Section 3.3) Divided differences
- February 15: (Section 3.1) Lagrange polynomial
- February 13: (Section 2.6) Root-finding review, Muller's and Horner's methods
- February 10: (Section 2.5) Convergence acceleration
- February 8: (Section 2.4) Error analysis for iterative methods
- February 6: (Section 2.3) Newton's method and secant method
- February 3: SNOW DAY
- February 1: (Section 2.2) Fixed-point methods
- January 30: (Section 2.1) The bisection method
- January 27: (Section 1.3) Algorithms and convergence
- January 25: Introduction to mathematical software
- January 23: (Section 1.2) Roundoff error
- January 20: More introduction, and (Section 1.1) calculus review
- January 18: Class introduction
Course syllabus
Course schedule
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