اململكة العربية السعودية Kingdom of Saudi Arabia Ministry of Higher Education وزارة التعليم العايل Salman Bin Abdulaziz University جامعة سلمان بن عبد العزيز College of Engineering In Wadi Addawasir كلية اهلندسة بوادي الدواسر For more information visit: http://faculty.sau.edu.sa/n.sooppy Course Descriptions تعليمات : القـــــسم الرياضيـــات 1435\1434 - الــثاني: الفصل و العــام الجــامــعي مواعيد المحاضره الوحدات المعتمده المستوي 3 الرابع وصف المقرر و اهدافه رقم و رمز المقررالمقرر MATH 2030 Infinite series, convergence and divergence of infinite series, integral test, ratio test, root test and comparison test. Conditional convergence and absolute convergence, alternating series test. Power series. Taylor and Maclaurin series. Double integral and its applications to area, volume, moments and center of mass. Double integrals in polar coordinates. Triple integral in rectangular, cylindrical and spherical coordinates and applications to volume, moment and center of mass. Vector fields, line integrals, surface integrals, Green’s theorem, the divergence theorem. Stoke’s theorem. مخرجات التعليم المتوقعه عند دراسه هذا المقرر · Provide students with principles of Calculus ( Series and Multiple Integrals ) · Increase student ability and skills of problem solving of Calculus. · Train student to practice intellectual skills of Calculus. · Application of principal and theories of Calculus. · Increase student experience and skills of Calculus. األنشطه الفصليه المـــطلوبة · Homework , Quiz and activities · First quarter exam · Second quarter exam · Final exam التقييم و توزيع درجات المقرر الدرجة المقررة نوع التقييم 2*15 اختبارين فصليين 10 مشاركه و واجبات 60 اختبار نهائي المراجع و المصادر المتاحه للمقرر Howard Anton, "Calculus with analytical geometry", John Wiley & Sons, Last Edition. 1 Dr. Nisar. K.S اململكة العربية السعودية Kingdom of Saudi Arabia Ministry of Higher Education وزارة التعليم العايل Salman Bin Abdulaziz University جامعة سلمان بن عبد العزيز College of Engineering In Wadi Addawasir كلية اهلندسة بوادي الدواسر For more information visit: http://faculty.sau.edu.sa/n.sooppy 1435 -1434 جدول توزيع المحاضرات علي الفصل الدراسي الثاني مالحظات Quiz-1 Quiz-2 HW-submission Test -1 موضوع المحاضره Infinite series, convergence and divergence of infinite series Integral test, ratio test, root test and comparison test. Conditional convergence and absolute convergence, Alternating series test. Power series. Taylor and Maclaurin series.. Double integral and its applications to area, volume, moments and center of mass. األسبوع األول الثاني الثالث الرابع الخامس السادس السابع Double integrals in polar coordinates. الثامن Triple integral in rectangular التاسع العاشر Quiz-4 Cylindrical and spherical coordinates and applications to volume, الحادي عشر Test -2 Moment and center of mass. الثاني عشر Vector fields, line integrals, surface integrals, Green’s theorem, the divergence theorem. Stoke’s theorem. الثالث عشر Quiz-3 HW-submission Review 2 Dr. Nisar. K.S الرابع عشر الخامس عشر اململكة العربية السعودية Kingdom of Saudi Arabia Ministry of Higher Education وزارة التعليم العايل Salman Bin Abdulaziz University جامعة سلمان بن عبد العزيز College of Engineering In Wadi Addawasir كلية اهلندسة بوادي الدواسر For more information visit: http://faculty.sau.edu.sa/n.sooppy Course Descriptions تعليمات : القـــــسم الرياضيـــات 1435\1434 - الــثاني: الفصل و العــام الجــامــعي مواعيد المحاضره الوحدات المعتمده المستوي رقم و رمز المقررالمقرر 3 الرابع MATH 2440 وصف المقرر و اهدافه Column and row vectors, the product of vectors, matrices and their combination with vectors, the addition and multiplication of matrices. The solution of linear equations, the inverse of square matrix, permutation matrices. Systems of equations and inequalities, matrix algebra, determinants. Linear dependence and linear independence, properties of matrices. Inverse and adjoint matrix, matrix functions of a single variables, solution of systems of linear equations, introduction and properties, the solution of linear systems by elimination rank of matrices, eignvalues and eignvectors, introduction, properties of eignvalues and eignvectors, applications, diagonalizable matrices, block diagonal and Jordan forms, review and miscellaneous exercises . مخرجات التعليم المتوقعه عند دراسه هذا المقرر · Provide students with principles of Linear Algebra and Matrices · Increase student ability and skills of Linear Algebra and Matrices. · Train student to practice intellectual skills of Linear Algebra . · Increase student experience and skills of Matrices. األنشطه الفصليه المـــطلوبة · Homework , Quiz and activities · First quarter exam · Second quarter exam · Final exam التقييم و توزيع درجات المقرر الدرجة المقررة نوع التقييم 2*15 اختبارين فصليين 10 مشاركه و واجبات 60 اختبار نهائي المراجع و المصادر المتاحه للمقرر Gilbert Strang, "Introduction to Linear Algebra", WellesleyCambridge Press, Last Edition.. 3 Dr. Nisar. K.S اململكة العربية السعودية Kingdom of Saudi Arabia Ministry of Higher Education وزارة التعليم العايل Salman Bin Abdulaziz University جامعة سلمان بن عبد العزيز College of Engineering In Wadi Addawasir كلية اهلندسة بوادي الدواسر For more information visit: http://faculty.sau.edu.sa/n.sooppy 1435 -1434 جدول توزيع المحاضرات علي الفصل الدراسي الثاني مالحظات موضوع المحاضره األسبوع األول Column and row vectors, the product of vectors الثاني Quiz-1 Matrices and their combination with vectors, الثالث Quiz-2 The addition and multiplication of matrices. The solution of linear equations, the inverse of square matrix, permutation matrices. Systems of equations and inequalities, matrix algebra, determinants. Linear dependence and linear independence, properties of matrices Inverse and adjoint matrix, matrix functions of a single variables. Solution of systems of linear equations, introduction and properties the solution of linear systems by elimination rank of matrices introduction for eignvalues and eignvectors Properties of eignvalues and eignvectors, applications الرابع HW-submission Test -1 Quiz-3 Quiz-4 Test -2 HW-submission Diagonalizable matrices, block diagonal and Jordan forms REVIEW 4 Dr. Nisar. K.S الخامس السادس السابع الثامن التاسع العاشر الحادي عشر الثاني عشر الثالث عشر الرابع عشر الخامس عشر اململكة العربية السعودية Kingdom of Saudi Arabia Ministry of Higher Education وزارة التعليم العايل Salman Bin Abdulaziz University جامعة سلمان بن عبد العزيز College of Engineering In Wadi Addawasir كلية اهلندسة بوادي الدواسر For more information visit: http://faculty.sau.edu.sa/n.sooppy Course Descriptions تعليمات : القـــــسم الرياضيـــات 1435\1434 - الــثاني: الفصل و العــام الجــامــعي مواعيد المحاضره الوحدات المعتمده المستوي رقم و رمز المقررالمقرر 3 اخلامس MATH 2040 وصف المقرر و اهدافه Introduction to differential equations, equations with separable variables, homogeneous equations, exact equation, the linear equation of first order, linear equation of second order, direct deduction, comparison theorems. Linear equations with constant coefficients, inhomogeneous case, methods of undetermined coefficients and variations, Variation of parameters, systems of differential equations. Odd & Even Fourier Series, Fourier Integral. مخرجات التعليم المتوقعه عند دراسه هذا المقرر · Provide students with principles of differential equations · Increase student ability and skills of solving differential equations. · Train student to practice intellectual skills of differential equations. · Increase student experience and skills of differential equations. األنشطه الفصليه المـــطلوبة · Homework , Quiz and activities · First quarter exam · Second quarter exam · Final exam التقييم و توزيع درجات المقرر الدرجة المقررة نوع التقييم 2*15 اختبارين فصليين 10 مشاركه و واجبات 60 اختبار نهائي المراجع و المصادر المتاحه للمقرر Morris Tenenbaum,Harry Pollard, "Ordinary Differential Equations: An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences", Dover Publications. 5 Dr. Nisar. K.S اململكة العربية السعودية Kingdom of Saudi Arabia Ministry of Higher Education وزارة التعليم العايل Salman Bin Abdulaziz University جامعة سلمان بن عبد العزيز College of Engineering In Wadi Addawasir كلية اهلندسة بوادي الدواسر For more information visit: http://faculty.sau.edu.sa/n.sooppy 1435 -1434 جدول توزيع المحاضرات علي الفصل الدراسي الثاني مالحظات موضوع المحاضره األسبوع Introduction to differential equations, األول Equations with separable variables, الثاني Quiz-1 Homogeneous equations الثالث Quiz-2 Exact equation الرابع HW-submission Test -1 The linear equation of first order الخامس Linear equation of second order, direct deduction, comparison theorems. السادس Linear equations with constant coefficients, inhomogeneous case Quiz-3 السابع الثامن التاسع العاشر Quiz-4 Methods of undetermined coefficients and variations, Variation of parameters الحادي عشر Test -2 Fourier Series, الثاني عشر Odd & Even Fourier Series, الثالث عشر Fourier Integral. الرابع عشر HW-submission REVIEW 6 Dr. Nisar. K.S الخامس عشر اململكة العربية السعودية Kingdom of Saudi Arabia Ministry of Higher Education وزارة التعليم العايل Salman Bin Abdulaziz University جامعة سلمان بن عبد العزيز College of Engineering In Wadi Addawasir كلية اهلندسة بوادي الدواسر For more information visit: http://faculty.sau.edu.sa/n.sooppy Course Descriptions تعليمات : القـــــسم الرياضيـــات 1435\1434 - الــثاني: الفصل و العــام الجــامــعي مواعيد المحاضره الوحدات المعتمده المستوي 3 5th وصف المقرر و اهدافه رقم و رمز المقررالمقرر STAT 3201 Descriptive statistics: Statistical data classification; measures of central tendency (mean, mode, median); measures of dispersion (variance, standard deviation, coefficient of variation). The theory of probabilities with applications to science and engineering: introduction; properties; applications. The random variables: Discrete and continuous random variables; expected value and variance of random variables; sums of discrete random variables; law of large numbers. Discrete & continuous distributions or engineering applications; Joint, marginal, conditional distributions. Selected distributions: Binomial, Poisson, Exponential, Weibull, Normal and Lognormal distributions. Basic concepts and methods of statistics: sampling, sampling distributions, parameters estimation, hypotheses testing. Analysis of variance; Correlation, simple and multiple linear regressions. Statistical software & its application. مخرجات التعليم المتوقعه عند دراسه هذا المقرر · Provide students with principles Engineering Statistics (estimations, Hypothesis etc.) · Increase student ability and skills of problem in Statistics. · Train student to practice intellectual skills of Statistics. · Application of principal and theories of Statistics. · Increase student experience and skills of Statistics. األنشطه الفصليه المـــطلوبة · Homework , Quiz and activities · First quarter exam · Second quarter exam · Final exam التقييم و توزيع درجات المقرر الدرجة المقررة نوع التقييم 2*15 اختبارين فصليين 10 مشاركه و واجبات 60 اختبار نهائي المراجع و المصادر المتاحه للمقرر 7 Dr. Nisar. K.S اململكة العربية السعودية Kingdom of Saudi Arabia Ministry of Higher Education وزارة التعليم العايل Salman Bin Abdulaziz University جامعة سلمان بن عبد العزيز College of Engineering In Wadi Addawasir كلية اهلندسة بوادي الدواسر For more information visit: http://faculty.sau.edu.sa/n.sooppy R. E Walpole , R. H. Myers, "Probability and Statistics for Engineers and Scientists", Macmillan Publishing, Last Edition. 1435 -1434 جدول توزيع المحاضرات علي الفصل الدراسي الثاني مالحظات موضوع المحاضره Descriptive statistics: Statistical data classification Quiz-1 Quiz-2 HW-submission Test -1 Quiz-3 Quiz-4 Test -2 HW-submission measures of central tendency (mean, mode, median) measures of dispersion (variance, standard deviation, coefficient of variation). The theory of probabilities with applications to science and engineering: introduction; properties; applications. The random variables: Discrete and continuous random variables; expected value and variance of random variables; ; sums of discrete random variables; law of large numbers. Discrete & continuous distributions or engineering applications; Joint, marginal, conditional distributions. Selected distributions: Binomial, Poisson, Exponential, Weibull, Normal and Lognormal distributions. Basic concepts and methods of statistics: sampling, sampling distributions, األسبوع األول الثاني الثالث الرابع الخامس السادس السابع الثامن التاسع العاشر الحادي عشر parameters estimation, hypotheses testing. الثاني عشر Analysis of variance; Correlation, simple and multiple linear regressions. simple and multiple linear regressions.Statistical software & its application. الثالث عشر Review الخامس عشر 8 Dr. Nisar. K.S الرابع عشر