FACULTY OF ENGINEERING Department: Basic Engineering Sciences Course Syllabus Instructor Name Dr. Mukhtar Salah Algebra and Analytical Geometry Course Title: Course code: Prerequisite: Co-requisite: 4 Level: Academic Year: Su,Mo.:8-10 We.:10-11 Lecture Times: Office Hours Su: 11-1 Mo: 10-12 Math107 Tutorial Time: 1434/1435 Semester: Th.: 10-11 Lab Time: We :9-10,1-2 3 (3,1,0) Cr. Hrs: Mo.:1-2, We.:8-9 Spring Office number 1D031 Course Description Course Goals and Objectives 1 3 Solving a system of linear equations in different methods (Gauss-Jordan, Inverse of coefficient matrix, Cramer's rule) Carry out arithmetic operations and define the characteristic of academic geometric shapes in vector space Determine the convergence or the divergence of series and calculate the limits in possible cases 1 2 3 Apply knowledge of mathematics, science, and engineering. An ability to identify, formulate, and solve engineering problems. A knowledge of contemporary issues 2 Course Outcomes N 1 2 3 4 5 6 7 8 9 10 11 12 13 Course Contents Short Description Matrices: introduction and properties System of linear equations: introduction and method of solving Determinants and Cramer's rule Vectors in 2 and 3 dimensions, scalar and vector product Eigenvalues and eigenvectors: introduction and properties Partial fractions Vector valued functions Directional derivatives Conic sections Infinite series: convergence and divergence Test of convergence: integral, ratio, comparison Conditional and absolute convergence Equation of lines and planes in space, Power series Week 1 2,3 4 5,6 7 8 9 10 11 12 13 14 15 Mode of Assessment 1 2 3 4 First Midterm exam Second Midterm exam Quiz and homework assignments Final Exam Textbook: References: 20% 20% 20% 40% Books 1-Anton, H. and Rorres, C., " Elementary linear algebra: Application version", Wiley, 10 th edition, 2010. 2- Anton, H., " Calculus: Anew Horizon ", Wiley, 6th edition Kolman, B. and Hill, D., "Elementary linear algebra with applications", Wiley, 9 th edition ,2007.