Final (Exam 2) (Apr. 26)

Additional Sample Pbs

Review (Apr. 24)

Lecture 20 (Apr. 19) 12.1 Elliptic Partial Differential Equations

Test 4 (Apr. 17)

Solutions of Test 4

Sample Test 4

Assignment 7 (Apr. 12) 8th-edition: 8.5(1,7a,8a,15); 8.6(1.a,8); 11.1(1.a,6,8,10),11.2(1),11.3(1),11.4(1)|| 9th-edition: 8.5(1,7a,8a,15); 8.6(1.a,8); 11.1(1.a,6,8,10),11.2(1),11.3(1),11.4(1)||

Lecture 19 (Apr. 12) 11.4 Finite-Difference Methods for Nonlinear Problems

Lecture 18 (Apr. 5 & 10) 11.3 Finite-Difference Methods for Linear Problems

Lecture 17 (Mar. 29 & Apr. 3) 11.1 The Linear Shooting Method, 11.2 The Shooting Method for Nonlinear Problems

Lecture 16 (Mar. 27) 8.5 Trigonometric Polynomial Approximation, 8.6 Fast Fourier Transforms

Assignment 6 (Mar. 22) 8th-edition: 8.1(1,2,8,14); 8.2(1.a,3.a,13); 8.3(1.a,3.a,9)|| 9th-edition: 8.1(1,2,8,14); 8.2(1.a,3.a,13); 8.3(1.a,3.a,9)

Lecture 15 (Mar. 8 & 20) 8.3 Chebyshev Polynomials and Economization of Power Series

Lecture 14 (Mar. 6) 8.1 Discrete Least Squares Approximation, 8.2 Orthogonal Polynomials and Least Squares Approximation

Midterm (Exam 1) (Mar. 22)

Test 3 (Mar. 8)

Solutions of Sample Test 3

Sample Test 3

Assignment 5 (Mar. 6) 8th-edition: 5.1(1.a,5.a); 5.2(1.a,3.a,9); 5.4(1.a,5.a,9.a) 5.6(1.a,5.a)|| 9th-edition: 5.1(1.a,5.a); 5.2(1.a,3.a,9); 5.4(1.a,5.a,9.a) 5.6(1.a,5.a)

Lecture 13 (Mar. 1) 5.10 Stability

Lecture 12 (Feb. 28) 5.6 Multistep Methods

Lecture 11 (Feb. 23) 5.4 Runge-Kutta Methods

Test 2 (Feb. 21)

Solutions of Sample Test 2

Sample Test 2

Assignment 4 (Feb. 23) 8th-edition: 4.5(1.a,3.a); 4.7(1.b,2.b,5); 4.9(1.a,3.a) || 9th-edition: 4.5(1.a,3.a); 4.7(1.b,2.b,5); 4.9(1.a,3.a)

Lecture 10 (Feb. 16) 5.1 The Elementary Theory of Initial-Value Problems, 5.2 Euler’s Method, 5.3 Higher-Order Taylor Methods

Lecture 9 (Feb. 14) 4.8 Multiple Integrals, 4.9 Improper Integrals

Assignment 3 (Feb. 16) 8th-edition: 4.1(5.a,7.a); 4.2(1.a,5,15); 4.3(1.c,3.c,5.c,7.c,15); 4.4(8,22) || 9th-edition: 4.1(5.a,7.a); 4.2(1.a,5,15); 4.3(1.c,3.c,5.c,7.c,15); 4.4(8,22)

Lecture 8 (Feb. 9) 4.5 Romberg Integration, 4.7 Gaussian Quadrature

Lecture 7 (Feb. 7) 4.4 Composite Numerical Integration

Lecture 6 (Feb. 2) 4.3 Elements of Numerical Integration

Lecture 5 (Jan. 31) 4.1 Numerical Differentiation, 4.2 Richardson’s Extrapolation

Test 1 (Feb. 2)

Solutions of Sample Test 1

Sample Test 1

Assignment 2 (Feb. 2) 8th-edition: 3.2(11,13,15);3.3(1.a,3.a,9);3.4(1,12) || 9th-edition: 3.3(11,13,15);3.4(1.a,3.a,9);3.5(1,12)

Lecture 4 (Jan. 26) 3.5 Cubic Spline Interpolation

Lecture 3 (Jan. 24) 3.4 Hermite Interpolation

Assignment 1 (Feb. 2) 8th-edition: 3.1 (1.a,3.a,11.a,13,15,17,21,23,24) || 9th-edition: 3.1 (1.a,3.a,11,17);3.2(3.a,4,6,7,9)

Lecture 1 (Jan. 17) 3.1 Interpolation and the Lagrange Polynomial

Lecture 2 (Jan. 19) 3.2 Data Approximation and Neville’s Method, 3.3 Divided Differences