RKT1 - Course of Study - Linear Algebra - 3 CUs.pdf

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. Most of the time, you will also be able to access learning aids such as worked examples or interactive step-by-step solutions of the problems you are working on. You will demonstrate your competency in Linear Algebra by successfully completing two tasks: one on Matrices and Linear Transformations, and one on Vector Spaces. The topics for these two tasks are spread throughout the book. You will be working on different parts of these tasks as you study and complete the course activities. Teaching Dispositions Statement Please review the WGU Statement of Teaching Dispositions . Competencies and Objectives This course provides guidance to help you demonstrate the following 3 competencies: Competency 209.8.7: Propositional Logic The graduate applies propositional logic to solve mathematical problems. Select propositions from a collection of sentences. Configure propositional logic from a propositional sentence. Configure a propositional sentence from propositional logic. Identify the contrapositive, the converse, and the inverse of the conditional statement. Construct a truth table for compound propositions. Configure a logical expression from a truth table. Identify whether two given propositions are logically equivalent. Identify whether a given proposition is a tautology, a contradiction, or neither. Competency 209.8.8: Predicate Logic The graduate applies predicate logic to solve mathematical problems. 2 / 16
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RKT1 - Linear Algebra Course of Study Convert sentences into propositions. Convert sentences into predicates. Identify the truth value for universally quantified statements. Identify truth values for existentially quantified statements. Simplify quantified statements using De Morgan's laws. Identify truth values for statements with nested quantifiers. Competency 209.8.5: Linear Transformations The graduate demonstrates understanding of linear transformations and their applications. Identify the matrix that represents a given linear transformation. Define the concept of a one-to-one mapping. Apply linear transformations to convert given data. Describe the effect of linear transformations on measures of central tendency. Describe the effect of linear transformations on measures of dispersion. Competency 209.8.6: Matrices The graduate applies matrix theory and matrix algebra to model and solve problems. Identify the image of a point under a given linear transformation of the xy-plane using matrix multiplication. Compute the determinant of a 2x2 matrix. Compute the inverse of a 2x2 matrix. Distinguish the value of a given matrix as either invertible or non-invertible. Identify the area of the transformed region after being given a region of the xy-plane and a linear transformation of the xy-plane.
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