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313OutcomesF11 - Math 313 Section 3 Fall 2011 Outcome...

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Math 313 Section 3 Fall 2011 Outcome Statements (a.k.a. Study Guide) Homework Assignments How to read the Outcome Statements . The sections from the book we will use are listing in chronology order. In parenthesis following the title of each section is listed the expected number of class days to be spent on that section. For each section there are listed four categories of information. Outcomes: these are specific learning objectives, the things you are expected to learn. Reading: this indicates the section from the book that you should read before class. Homework: this gives a list of assigned homework problems from the book. Outcome Mapping: this associates the learning outcome with the assigned homework problems. For example, on the next page in the outcome mapping for the section “1 Systems of Linear Equations (one day)” you will find “A. 6(a,d,h)” which means that problems 6(a,d,h) are associated with outcome statement A, which is “Determine when a system of linear equations is consistent or inconsistent.” You are encouraged to use these outcome statements in your preparation for exams. All of the questions on the exams will be designed to test your achieving of a randomly selected subset of the learning objectives as described in the outcomes statements. You can test yourself on each outcome statement by checking if you can correctly do the assigned homework associated with that outcome statement.
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1 Systems of Linear Equations (one day) Outcomes : A. Determine when a system of linear equations is consistent or inconsistent. B. Use back substitution to solve a system in strict triangular form. C. Convert a system to and from an augmented matrix. D. Use the elementary row operations on the augmented matrix of a system to obtain, if possible, an equivalent system in strict triangular form. Reading : Section 1.1 Homework : 1.1: 1(a,b), 2(a,b), 5(a,b), 6(a,d,h) Outcome Mapping : A. 6(a,d,h) B. 1(a,b) C. 2(a,b), 5(a,b) D. 6(a,d,h) 2 Row Echelon Form (one day) Outcomes : A. Identify the lead variables and the free variables of a system. B. Determine when a matrix is in row echelon form or in reduced row echelon form. C. Reduce a matrix to row echelon form using Gaussian Elimination. D. Reduce a matrix to reduced row echelon form using Gauss-Jordan Reduction. E. Solve systems (overdetermined, underdetermined, homogeneous, or nonhomogeneous) from the corre- sponding (reduced) row echelon forms of their augmented matrices. Reading : Section 1.2 Homework : 1.2: 1, 2(a,b,c), 3(b,d,f), 4(b,d,f), 5(a,c,h,l), 6(a,b), 8, 9 Outcome Mapping : A. 4(b,d,f) B. 1 C. 5(a,c,h,l) D. 6(a,b) E. 2(a,b,c), 3(b,d,f), 5(a,c,h,l), 6(a,b), 8, 9 3 Matrix Arithmetic (one and a half days) Outcomes : A. Perform the operations of scalar multiplication, addition, multiplication, and transposition.
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