Curated OER
The Haar Wavelet Filter Bank
In this Haar Wavelet learning exercise, students solve and complete 4 different problems related to the Haar Wavelet filter bank. First, they define the properties of Haar basis. Then, students compute the matrices for the first, second...
Curated OER
Linear Systems: Nullspace
In this nullspace worksheet, students explore vectors and nullspaces found in a matrix. They convert augmented matrix to echelon form. This six-page worksheet contains approximately ten problems.
Curated OER
Systems of Equations
In this algebra learning exercise, students solve systems of equations using matrices. There are 24 questions to be solved.
Curated OER
Linear Independence, Bases and Coordinate Systems
Students define vocabulary related to vectors and investigate vector problems. In this math lesson, students define basis and explore plotting vectors in correlation to their basis. Plotting polynomials facilitates student understanding.
Curated OER
Linear Systems: Definition of the Nullspace
In this nullspace instructional activity, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page instructional activity contains...
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Linear Systems: Identifying Pivots and Multipliers
In this pivot worksheet, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page worksheet contains examples, explanations, and approximately ten problems.
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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Physics: Eigenvalues
Students solve problems by discovering the eigenvalues that satisfy design questions. They explain how relaxing a small angle approximation can change the solution. Students apply the numerical model of pendulumm motion to solve the...
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Dimension and Rank
Students determine the dimension of a subspace. In this dimension and rank lesson, students explore the dimension of a vector space. They compare and explore the relationship in a matrix.
Curated OER
Numerical Analysis: Successive Over-Relaxation for Linear Systems
In this successive linear systems worksheet, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page worksheet contains...
Curated OER
Linear Systems: Applications of Eiginvalues
In this Eigenvalue and Eigenvector worksheet, learners examine the applications of matrix exponentiation. This four-page worksheet provides explanations and examples, as well as three problems to complete.
Curated OER
Linear Systems: Orthogonality of Subspaces
In this subspace worksheet, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page worksheet contains explanations, examples, and three problems.
Curated OER
Numerical Analysis: Discrete Least Squares
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
Curated OER
Numerical Analysis: Solving Systems Of Non-Linear Equations
In this numerical analysis activity, students solve systems of non-linear equations. Examples and explanation are provided. This two-page activity contains approximately three problems.
Curated OER
Linear Systems: Identifying Pivots and Multipliers
In this identifying pivots learning exercise, students use algebra to find equivalent systems of equations. This four-page learning exercise contains examples, explanations and approximately ten problems.
Curated OER
Save Your Change
Students solve problems involving exponential, logarithmic, and scientific notations. Using calculators, students explore investment problems. They use a formula and logarithms to determine the years to earn a particular income, figure...