MATH 405 - Numerical Analysis
Sample Tests and Quizzes


 

Please feel free to use the sample tests and quizzes below to help you study for this class.  I have endeavored to arrange them by subject matter.  These quizzes and tests were given in similar classes taught by me at Athens State University (anything before Fall 2004).  Because I like to change things up every now and then, I thus have the following disclaimer:  These will not be the same quizzes and tests that you will have in this class and this semester I may not cover the same topics in the same order as previous semesters.

 

All files below are pdf files created using Adobe Acrobat 4.0 and above. 

 

Sample Quizzes

Semester

Item

General Topics Covered

Fall 2009 Quiz 1

Solution

Essential Calculus for Numerical Analysis (Basic Theorems) and Taylor Polynomials, Floating Point Arithmetic
Spring 2003 Quiz 2 Essential Calculus for Numerical Analysis (Basic Theorems) and Taylor Polynomials
Spring 2006 Quiz 2 Essential Calculus for Numerical Analysis (Basic Theorems) and Taylor Polynomials
Spring 2008 Quiz 2 Essential Calculus for Numerical Analysis (Basic Theorems) and Taylor Polynomials
Spring 2003 Quiz 3 Floating Point Arithmetic, Order of Convergence
Spring 2006 Quiz 3 Floating Point Arithmetic, Bisection Method
Spring 2003 Quiz 4 Bisection Method, Newton's Method
Spring 2008 Quiz 3 Bisection Method, Newton's Method, LaGrange Polynomials
Spring 2006 Quiz 4 Newton's Method, LaGrange Polynomials
Spring 2003 Quiz 5 LaGrange Polynomials, Cubic Spline Interpolation
Spring 2003 Quiz 6 Numerical Differentiation, Numerical Integration (Trapezoid and Simpson's Rule)
Spring 2008 Quiz 4 Least Squares, Numerical Differentiation, Numerical Integration, Basic Differential Equations
Spring 2003 Quiz 7 Initial Value Problems, Euler's Method

 

Sample Tests

Semester

Item

General Topics Covered

Spring 2000

Midterm Exam

Essential Calculus for Numerical Analysis (Basic Theorems), Round Off Errors and Computer Arithmetic, Algorithms and Convergence, Bisection Method, Newton's Method, Lagrange Polynomials, Cubic Spline Interpolation.

Spring 2003 Midterm Exam Essential Calculus for Numerical Analysis (Basic Theorems), Round Off Errors and Computer Arithmetic, Algorithms and Convergence, Bisection Method, Newton's Method, Lagrange Polynomials, Cubic Spline Interpolation.
Spring 2008 Midterm Exam Essential Calculus for Numerical Analysis (Basic Theorems), Taylor Polynomials, Round Off Errors and Computer Arithmetic, Algorithms and Convergence, Bisection Method, Newton's Method, Lagrange Polynomials, Cubic Spline Interpolation.
Spring 2006 Test 2 Numerical Differentiation, Numerical Integration, Least Squares Approximations, Initial Value Problems, the Runge Kutte Method

 


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