[ { "page": 1, "items": [ { "page": 1, "type": "TITLE", "location": { "l": 211.92, "t": 672.24, "r": 399.84, "b": 629.04 }, "text": "STARK STATE COLLEGE\nGENERAL SYLLABUS", "reading_order": 0, "level": 1 }, { "page": 1, "type": "TITLE", "location": { "l": 34.08, "t": 590.4, "r": 181.2, "b": 574.32 }, "text": "Course Information", "reading_order": 1, "level": 2 }, { "page": 1, "type": "TEXT", "location": { "l": 33.6, "t": 570.72, "r": 227.04, "b": 540.96 }, "text": "Course Name: Linear Algebra\nCourse Number: MTH226", "reading_order": 2 }, { "page": 1, "type": "TEXT", "location": { "l": 33.12, "t": 511.68, "r": 549.84, "b": 496.32 }, "text": "Required Materials", "reading_order": 3 }, { "page": 1, "type": "TEXT", "location": { "l": 33.12, "t": 496.32, "r": 549.84, "b": 465.6 }, "text": "Textbook(s): Elementary Linear Algebra-8th edition; by Ron Larson", "reading_order": 4 }, { "page": 1, "type": "TEXT", "location": { "l": 291.48, "t": 480.96, "r": 549.84, "b": 465.6 }, "text": "Cengage Learning 2017;", "reading_order": 5 }, { "page": 1, "type": "TEXT", "location": { "l": 33.12, "t": 450.24, "r": 549.84, "b": 434.88 }, "text": "Additional Materials: none", "reading_order": 6 }, { "page": 1, "type": "TEXT", "location": { "l": 33.12, "t": 434.88, "r": 549.84, "b": 419.52 }, "text": "A graphing calculator is recommended but not required.", "reading_order": 7 }, { "page": 1, "type": "TEXT", "location": { "l": 33.12, "t": 465.6, "r": 549.84, "b": 450.24 }, "text": "Required Readings: ISBN: 978-1-305-65800-4 (student edition); 978-1-305-95320-8 (loose-leaf edition)", "reading_order": 8 }, { "page": 1, "type": "TITLE", "location": { "l": 33.84, "t": 377.52, "r": 221.76, "b": 361.2 }, "text": "Course Outline/Calendar", "reading_order": 9, "level": 2 }, { "page": 1, "type": "TEXT", "location": { "l": 33.6, "t": 357.36, "r": 549.6, "b": 328.08 }, "text": "The date of coverage and order of coverage may be modified based on the faculty member and events beyond the control of faculty members that interfere with class times and teaching.", "reading_order": 10 }, { "page": 1, "type": "TABLE", "location": { "l": 34.56, "t": 315.6, "r": 575.04, "b": 72.96 }, "text": "
WeekChapter/Topic/Lab
1Ch. 1 Systems of Linear Equations (Review)\n1.1 Introduction to Systems of Linear Equations\n1.2 Gaussian and Gauss-Jordan Eliminations\n1.3 Applications of Systems of Linear Equations\nCh. 2 Matrices (Review)\n2.1 Operations with Matrices\n2.2 Properties of Matrix Operations\n2.3 The Inverse of a Matrix
22.4 Elementary Matrices\n2.6 Some Applications of Matrix Operations\nCh. 3 Determinants (Review)\n3.1 The Determinant of a Matrix\n3.2 Determinants and Elementary Operations\n3.3 Properties of Determinants\n3.4 Applications of Determinants
", "rows": [ { "row_index": 0, "location": [ 34.56, 234.72, 575.04, 315.6 ], "cells": [ { "location": [ 34.56, 234.72, 304.8, 315.6 ], "text": "Week", "html_text": "Week", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": true, "row_header": false, "placeholder": false, "ref": "#/tables/1" }, { "location": [ 304.8, 234.72, 575.04, 315.6 ], "text": "Chapter/Topic/Lab", "html_text": "Chapter/Topic/Lab", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": true, "row_header": false, "placeholder": false, "ref": "#/tables/1" } ], "ref": "#/tables/1" }, { "row_index": 1, "location": [ 34.56, 153.84, 575.04, 234.72 ], "cells": [ { "location": [ 34.56, 153.84, 304.8, 234.72 ], "text": "1", "html_text": "1", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/1" }, { "location": [ 304.8, 153.84, 575.04, 234.72 ], "text": "Ch. 1 Systems of Linear Equations (Review)\n1.1 Introduction to Systems of Linear Equations\n1.2 Gaussian and Gauss-Jordan Eliminations\n1.3 Applications of Systems of Linear Equations\nCh. 2 Matrices (Review)\n2.1 Operations with Matrices\n2.2 Properties of Matrix Operations\n2.3 The Inverse of a Matrix", "html_text": "Ch. 1 Systems of Linear Equations (Review)\n1.1 Introduction to Systems of Linear Equations\n1.2 Gaussian and Gauss-Jordan Eliminations\n1.3 Applications of Systems of Linear Equations\nCh. 2 Matrices (Review)\n2.1 Operations with Matrices\n2.2 Properties of Matrix Operations\n2.3 The Inverse of a Matrix", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/1" } ], "ref": "#/tables/1" }, { "row_index": 2, "location": [ 34.56, 72.96, 575.04, 153.84 ], "cells": [ { "location": [ 34.56, 72.96, 304.8, 153.84 ], "text": "2", "html_text": "2", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/1" }, { "location": [ 304.8, 72.96, 575.04, 153.84 ], "text": "2.4 Elementary Matrices\n2.6 Some Applications of Matrix Operations\nCh. 3 Determinants (Review)\n3.1 The Determinant of a Matrix\n3.2 Determinants and Elementary Operations\n3.3 Properties of Determinants\n3.4 Applications of Determinants", "html_text": "2.4 Elementary Matrices\n2.6 Some Applications of Matrix Operations\nCh. 3 Determinants (Review)\n3.1 The Determinant of a Matrix\n3.2 Determinants and Elementary Operations\n3.3 Properties of Determinants\n3.4 Applications of Determinants", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/1" } ], "ref": "#/tables/1" } ], "n_rows": 3, "n_cols": 2, "ref": "#/tables/1", "reading_order": 11 } ] }, { "page": 2, "items": [ { "page": 2, "type": "TABLE", "location": { "l": 34.56, "t": 757.68, "r": 577.2, "b": 171.36 }, "text": "
WeekChapter/Topic/Lab
Test #1 (Chapters 1, 2, 3)
3Ch. 4 Vector Spaces\\n4.1 Vectors in Rn\\n4.2 Vector Spaces\\n4.3 Subspaces of a Vector Space
444 Spanning Sets and Linear Independence\\n4.5 Basis and Dimension\\n4.6 Rank of a Matrix and Systems of Linear Equations
54.7 Coordinates and Change of Basis\\n4.8 Applications of Vector Spaces
6Ch. 5 Inner Product Spaces\\n5.1 Length and Dot Product in Rn\\n5.2 Inner Product Spaces
75.3 Orthonormal Bases: Gram-Schmidt Process (if time permits)\\n5.4 Mathematical Models and Least Square Analysis (if time permits)
85.5 Applications of Inner Product Spaces\\nTest #2 (Chapters 4, 5)
9Ch. 6 Linear Transformations\\n6.1 Introduction to Linear Transformations\\n6.2 The Kernel and Range of a Linear Transformation
106.3 Matrices for Linear Transformations\\n6.4 Transition Matrices and Similarity
116.5 Applications of Linear Transformations\\nCh. 7 Eigenvalues and Eigenvectors\\n7.1 Eigenvalues and Eigenvectors
127.2 Diagonalization\\n7.3 Symmetric Matrices and Orthogonal Diagonalization
137.4 Applications of Linear Transformations\\nCh. 8 Complex Vector Spaces. Abstract Vector Spaces\\n8.1 Complex Numbers (review)\\n8.2 Conjugates and Division of Complex Numbers (review)
148.3 Polar Form and DeMoivre’s Theorem (review)\\n8.4 Complex Vector Spaces and Inner Products.\\nAbstract Vector Spaces
15Make up week (if time permits)
16Final Exam\\nTest #3 (Chapters 6, 7, 8)
", "rows": [ { "row_index": 0, "location": [ 34.56, 721.035, 577.2, 757.68 ], "cells": [ { "location": [ 34.56, 721.035, 305.88, 757.68 ], "text": "Week", "html_text": "Week", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": true, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 721.035, 577.2, 757.68 ], "text": "Chapter/Topic/Lab", "html_text": "Chapter/Topic/Lab", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": true, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 1, "location": [ 34.56, 684.39, 577.2, 721.035 ], "cells": [ { "location": [ 34.56, 684.39, 305.88, 721.035 ], "text": "", "html_text": "", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 684.39, 577.2, 721.035 ], "text": "Test #1 (Chapters 1, 2, 3)", "html_text": "Test #1 (Chapters 1, 2, 3)", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 2, "location": [ 34.56, 647.745, 577.2, 684.39 ], "cells": [ { "location": [ 34.56, 647.745, 305.88, 684.39 ], "text": "3", "html_text": "3", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 647.745, 577.2, 684.39 ], "text": "Ch. 4 Vector Spaces\\n4.1 Vectors in Rn\\n4.2 Vector Spaces\\n4.3 Subspaces of a Vector Space", "html_text": "Ch. 4 Vector Spaces\\n4.1 Vectors in Rn\\n4.2 Vector Spaces\\n4.3 Subspaces of a Vector Space", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 3, "location": [ 34.56, 611.1, 577.2, 647.745 ], "cells": [ { "location": [ 34.56, 611.1, 305.88, 647.745 ], "text": "4", "html_text": "4", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 611.1, 577.2, 647.745 ], "text": "44 Spanning Sets and Linear Independence\n4.5 Basis and Dimension\n4.6 Rank of a Matrix and Systems of Linear Equations", "html_text": "44 Spanning Sets and Linear Independence\n4.5 Basis and Dimension\n4.6 Rank of a Matrix and Systems of Linear Equations", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 4, "location": [ 34.56, 574.455, 577.2, 611.1 ], "cells": [ { "location": [ 34.56, 574.455, 305.88, 611.1 ], "text": "5", "html_text": "5", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 574.455, 577.2, 611.1 ], "text": "4.7 Coordinates and Change of Basis\n4.8 Applications of Vector Spaces", "html_text": "4.7 Coordinates and Change of Basis\n4.8 Applications of Vector Spaces", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 5, "location": [ 34.56, 537.81, 577.2, 574.455 ], "cells": [ { "location": [ 34.56, 537.81, 305.88, 574.455 ], "text": "6", "html_text": "6", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 537.81, 577.2, 574.455 ], "text": "Ch. 5 Inner Product Spaces\\n5.1 Length and Dot Product in Rn\\n5.2 Inner Product Spaces", "html_text": "Ch. 5 Inner Product Spaces\\n5.1 Length and Dot Product in Rn\\n5.2 Inner Product Spaces", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 6, "location": [ 34.56, 501.165, 577.2, 537.81 ], "cells": [ { "location": [ 34.56, 501.165, 305.88, 537.81 ], "text": "7", "html_text": "7", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 501.165, 577.2, 537.81 ], "text": "5.3 Orthonormal Bases: Gram-Schmidt Process (if time permits)\n5.4 Mathematical Models and Least Square Analysis (if time permits)", "html_text": "5.3 Orthonormal Bases: Gram-Schmidt Process (if time permits)\n5.4 Mathematical Models and Least Square Analysis (if time permits)", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 7, "location": [ 34.56, 464.52, 577.2, 501.165 ], "cells": [ { "location": [ 34.56, 464.52, 305.88, 501.165 ], "text": "8", "html_text": "8", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 464.52, 577.2, 501.165 ], "text": "5.5 Applications of Inner Product Spaces\nTest #2 (Chapters 4, 5)", "html_text": "5.5 Applications of Inner Product Spaces\nTest #2 (Chapters 4, 5)", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 8, "location": [ 34.56, 427.875, 577.2, 464.52 ], "cells": [ { "location": [ 34.56, 427.875, 305.88, 464.52 ], "text": "9", "html_text": "9", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 427.875, 577.2, 464.52 ], "text": "Ch. 6 Linear Transformations\n6.1 Introduction to Linear Transformations\n6.2 The Kernel and Range of a Linear Transformation", "html_text": "Ch. 6 Linear Transformations\n6.1 Introduction to Linear Transformations\n6.2 The Kernel and Range of a Linear Transformation", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 9, "location": [ 34.56, 391.23, 577.2, 427.875 ], "cells": [ { "location": [ 34.56, 391.23, 305.88, 427.875 ], "text": "10", "html_text": "10", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 391.23, 577.2, 427.875 ], "text": "6.3 Matrices for Linear Transformations\n6.4 Transition Matrices and Similarity", "html_text": "6.3 Matrices for Linear Transformations\n6.4 Transition Matrices and Similarity", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 10, "location": [ 34.56, 354.585, 577.2, 391.23 ], "cells": [ { "location": [ 34.56, 354.585, 305.88, 391.23 ], "text": "11", "html_text": "11", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 354.585, 577.2, 391.23 ], "text": "6.5 Applications of Linear Transformations\nCh. 7 Eigenvalues and Eigenvectors\n7.1 Eigenvalues and Eigenvectors", "html_text": "6.5 Applications of Linear Transformations\nCh. 7 Eigenvalues and Eigenvectors\n7.1 Eigenvalues and Eigenvectors", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 11, "location": [ 34.56, 317.94, 577.2, 354.585 ], "cells": [ { "location": [ 34.56, 317.94, 305.88, 354.585 ], "text": "12", "html_text": "12", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 317.94, 577.2, 354.585 ], "text": "7.2 Diagonalization\n7.3 Symmetric Matrices and Orthogonal Diagonalization", "html_text": "7.2 Diagonalization\n7.3 Symmetric Matrices and Orthogonal Diagonalization", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 12, "location": [ 34.56, 281.295, 577.2, 317.94 ], "cells": [ { "location": [ 34.56, 281.295, 305.88, 317.94 ], "text": "13", "html_text": "13", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 281.295, 577.2, 317.94 ], "text": "7.4 Applications of Linear Transformations\nCh. 8 Complex Vector Spaces. Abstract Vector Spaces\n8.1 Complex Numbers (review)\n8.2 Conjugates and Division of Complex Numbers (review)", "html_text": "7.4 Applications of Linear Transformations\nCh. 8 Complex Vector Spaces. Abstract Vector Spaces\n8.1 Complex Numbers (review)\n8.2 Conjugates and Division of Complex Numbers (review)", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 13, "location": [ 34.56, 244.65, 577.2, 281.295 ], "cells": [ { "location": [ 34.56, 244.65, 305.88, 281.295 ], "text": "14", "html_text": "14", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 244.65, 577.2, 281.295 ], "text": "8.3 Polar Form and DeMoivre’s Theorem (review)\n8.4 Complex Vector Spaces and Inner Products.\nAbstract Vector Spaces", "html_text": "8.3 Polar Form and DeMoivre’s Theorem (review)\n8.4 Complex Vector Spaces and Inner Products.\nAbstract Vector Spaces", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 14, "location": [ 34.56, 208.005, 577.2, 244.65 ], "cells": [ { "location": [ 34.56, 208.005, 305.88, 244.65 ], "text": "15", "html_text": "15", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 208.005, 577.2, 244.65 ], "text": "Make up week (if time permits)", "html_text": "Make up week (if time permits)", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" }, { "row_index": 15, "location": [ 34.56, 171.36, 577.2, 208.005 ], "cells": [ { "location": [ 34.56, 171.36, 305.88, 208.005 ], "text": "16", "html_text": "16", "links": [], "cell_header_index": 0, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" }, { "location": [ 305.88, 171.36, 577.2, 208.005 ], "text": "Final Exam\nTest #3 (Chapters 6, 7, 8)", "html_text": "Final Exam\nTest #3 (Chapters 6, 7, 8)", "links": [], "cell_header_index": 1, "rowspan": 1, "colspan": 1, "column_header": false, "row_header": false, "placeholder": false, "ref": "#/tables/0" } ], "ref": "#/tables/0" } ], "n_rows": 16, "n_cols": 2, "ref": "#/tables/0", "reading_order": 0 } ] } ]