Math 105B
Text: Numerical Analysis, by Burden and Faires (8th edition)
A calculator (any type) is required for this course.
Course Content: Lagrange interpolation, Splines, Numerical differentiation and integration,
Pade approximations, Gaussian quadrature, Fourier series and transform
Prerequisites: Math 105 A plus computer programming experience
Homework: Each week a set of problems from the text will be assigned. These problems are to
be done by hand (without computer). Homework assignments will be due every Friday in lecture.
Computer Assignments: Each week a set of problems involving computer computations will be
assigned. These assignments are to be done by writing Matlab programs and will be handed in to
the course Drop Box each Friday by 6:00 pm.
Quizzes: There will be 5 quizzes in total. The quiz will take place during the last half hour of the
lecture. All quizzes are to be done independently and without books or notes.
Grades: There are 500 points available for the student to earn- 100 points for homework, 100
points for weekly computer assignments, 100 points for quizzes, 50 points for the final computer
project and 150 points for the final exam. You are guaranteed a grade of
 A, if you earn 465 points (93%)
 A-, if you earn 450 points (90%)
 B+, if you earn 435 points (87%)
 B, if you earn 415 points (83%)
 B-, if you earn 400 points (80%)
 C+, if you earn 385 points (77%)
 C, if you earn 365 points (73%)
 C-, if you earn 350 points (70%)
 D+, if you earn 335 points (67%)
 D, if you earn 315 points (63%)
 D-, if you earn 300 points (60%)
The final grade for the course will be exactly determined by the points above and no rounding of
points to the next highest grade will be done.
Lab Grade: The grade for the laboratory will be the highest of either your grade in the lecture or
the grade on your final computer project.
Tentative Schedule:
Sections
3.1
3.1
3.2
3.2
3.3 & 3.4
3.4
Review
4.1
4.1
4.1
4.1
4.2
4.3
4.3 & 4.4
4.7
4.7
8.1
8.2
8.3
8.4
8.4
8.4
Review
8.5
8.5 & 8.6
8.6
8.6
8.6
Review
Topics
Interpolation and Lagrange polynomial
Interpolation and Lagrange polynomial
Divided differences, Newton's interpolation
Newton’s interpolation
Hermite interpolation, Cubic spline interpolation
Cubic spline interpolation;
Quiz 1
Numerical differentiation
Numerical differentiation
Numerical differentiation, Differential equations
Differential equations; Quiz 2
Richardson's extrapolation
Numerical Integration
Numerical Integration, Composite numerical integration
Gaussian quadrature
Gaussian quadrature; Quiz 3
Discrete least square approximation
Orthogonal polynomials and least-square approximation
Chebyshev polynomials
Rational function approximation, Pade approximation
Pade approximation
Pade approximation
Quiz 4
Trigonometric polynomials, Fourier series
Fourier series, Fourier transform
Fourier transform
Fourier transform
Fourier transform
Quiz 5
Review for the final