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Linear Algebra 1

 Course Title: Linear Algebra (1) Instructor: Dr. Bashir Al-Hdaibat Course Number: 110101241 Instructor’s Office: IT 148 Prerequisite(s): None Instructor’s Phone: N/A Designation: Compulsory Instructor’s Email: b.alhdaibat@hu.edu.jo Credit Hours: 3 Office Hours: N/A

Course summary:   This is a basic course on linear algebra: Systems of linear equations; matrices and matrix operations; homogeneous and nonhomogeneous systems; Gaussian elimination; elementary matrices and a method for finding A-1; determinants; Euclidean vector spaces; linear transformations from Rn to Rm and their properties; general vector spaces; subspaces; basis; dimension; row space; column  space; null space of  a matrix; rank and  nullity; inner  product spaces; eigenvalues and diagonalization; linear transformations.

Text: Elementary Linear Algebra (9th ed.) by Howard Anton

 Activities Percentage Quizzes 30% Midterm Exam 30% Final exam 40%

Exams: There will be one one-hour exams and a final exam. The use of calculators or notes is not permitted during the exams.

Quizzes: The quizzes make up 30% of the course grade. Quizzes are assigned from the required text. Six 10-min quizzes are scheduled; see below.

 Quiz Date Covering Section 1 16/7/2020 1.1 1.2 1.3 1.4 2 23/7/2020 1.5 1.6 1.7 3 30/7/2020 2.1 2.2 2.3 4 6/8/2020 5.1 5.2 5.3 5.4 5 13/8/2020 5.5 5.6 6.1 6.2 6 20/8/2020 6.3 6.5 6.6

Syllabus: I plan to cover roughly the first 8 chapters in Anton's book. List of Topics:

 Section Topic Week 1.1 Introduction to System of Linear Equations 1 1.2 Gaussian Elimination 1.3 Matrices and Matrix Operations 1.4 Inverses, Rules of Matrix Arithmetic 1.5 Elementary Matrices and a method for finding A-1 2 1.6 Further results on Systems of Equations and Invertibility 1.7 Diagonal, Triangular, and Symmetric Matrices 2.1 Determinants by Cofactor Expansion 3 2.2 Evaluation Determinants by Row Reduction 2.3 Properties of Determinant Function 5.1 Real Vector Spaces 4 5.2 Subspaces 5.3 Linear Independence 5.4 Basis and Dimension 5.5 Row space, Column space, and Null space 5 5.6 Rank and Nullity 6.1 Inner Products 6.2 Angle and Orthogonality in Inner Product Spaces 6.3 Orthogonal Bases; Gram-Schmidt Process; QR-Decomposition 6 6.5 Change of Bases 6.6 Orthogonal Matrices 7.1 Eigenvalues and Eigenvectors 7 7.2 Diagonalization 7.3 Orthogonal Diagonalizations 8.1 General Linear Transformations 8.2 Kernel and Range 8 8.3 Inverse Linear Transformations 8.4 Matrices of General Linear Transformations 8.5 Similarity

Final Grade: The Final Grade will be determined by the following scale (*)

 1 test: 30% 6 quizzes: 5% each Final exam: 30% Final course grade: 100% Percentage Grade Grade point value > 94 A + 4.00 90 – 94 A 3.75 85 – 89 A - 3.50 80 – 84 B + 3.25 75 – 79 B 3.00 70 – 74 B - 2.75 66 – 69 C + 2.50 62 – 65 C 2.25 58 – 61 C - 2.00 54 – 57 D + 1.75 50 – 53 D 1.50 < 50 F 0.00

(*) We may adjust the scale to be more lenient, depending on the performance of the class.