MATH 202 Syllabus, Fall 2018

American University of Beirut Faculty of Arts and Sciences Department of Mathematics Math 202: Differential Equations Spring 2018-2019 Dr. H. Yamani Office: Bliss 322 Office Phone: 4277 E-mail: hyO2@aub.edu.Ib Office hours: M F 9— 10:30 am Class meetings: LS MWF 8- 8:50am L2 MWF 11-11:50 am Recitations: W 9-9:50 am, 12-12:50 pm, I-1:50pm, 2-2:50 pm Textbooks: Thomas’ Calculus, 13th edition by Thomas, Weir, and Hass. A First Course in Differential Equations with Modeling Applications, 10“ed by Dennis G. Zill. Description of the Course The course will be centered around several main topics covering the notion of solution differential equation, linear and non-linear differential equations, initial and boundary-value problems, series solutions, Laplace transform and systems. At the beginning, a small part of the course will be devoted to the study of surface integrals and Stokes’ theorem. Topics covered Surface integrals, Stoke’s theorem, divergence theorem, first-order differential equations, linear differential equations, series solutions, Laplace transform, systems of linear differential equations. Course Learning Outcomes At the end of the course, students wil! have: e Ability to use Calculus methods to integrate a differential equation. e Ability to use infinite series methods, to solve a differential equation. e Ability to use extended infinite series methods (Frobenius) to solve a differential equation. e Ability to use linear algebra methods (eigenvalues, eigenvectors of a matrix) to solve a system of differential equations. e Ability to use transform methods (Laplace transform) to solve a differential equation. e Ability to combine transform methods and linear algebra methods to solve a system of differential equations. e Ability to use the divergence and Stokes’ theorems in the calculation of volumes and surface areas in three dimensions. AUB strives to make learning experiences as accessible as possible. If you anticipate or experience academic barriers due to a disability (including mental health, chronic or temporary medical conditions), and in order to help establish reasonable accommodations and facilitate a smooth accommodations process, you are encouraged to contact the Accessible Education Office in West Hall 314. Section Assigned homework problems Thomas’ Calculus 13th edition by Thomas, Weir, and Hass. 16.1 1-9, 11, 13, 15, 16, 17, 19, 21, 23, 25, 26, 27, 28,33 16.2 1, 3, 4, 5, 7, 9, 13, 15, 17, 19, 23, 25, 29, 33, 37 16.3 3, 5, 6, 7, 9, 12 - 22, 25, 28, 31, 33, 38 16.4 1-5,7,8, 9, 17, 19, 21, 23, 24, 26, 33, 35 16.5 1, 3, 5,13,14,15,17,20,23 16.6 17,19,21,23,25,27,29,31,33,35,37,39 16.7 1, 3, 5, 6,7,9,13,15, 17 16.8 5,9, 11, 13, 15 Exam 1 (25% of course grade) Saturday, February 16, 1:30 pm A First Course in Differential Equations with Modeling Applications Ll 2, 3, 12, 13, 16, 17, 20, 22, 23, 25, 26, 27, 29, 37, 43, 56, 58 1.2 1,3, 6, 7, 9, 12, 15, 17, 19, 20, 22, 24, 29, 30 2.2 3, 7, 8, 12, 14, 15, 17, 20, 22, 24, 26, 28, 30 2.3 3, 7, 10, 15, 16, 19, 20, 22, 24, 26, 28, 31,33, 37 2.4 2, 3, 8, 9, 11, 12, 17, 18, 2, 22, 25-34, 38, 42(a),43 2.5 1, 8, 9, 13, 15, 16, 17, 20, 25, 26, 29, 30, 33, 35,36 4.1 2,3,5,7, 9, 10, 12,13, 15, 17,18 19, 20,25, 28, 31, 32, 35,38,39 4.2 1, 4, 5, 8, 9, 11, 13, 17, 19, 20 4.3 8,13, 16, 17, 20, 22, 23, 26, 27, 30, 31, 32, 34, 36, 38, 42, 49, 50, 51,59,60 Exam 2 (25% of course grade) Saturday, March 16, 1:30 pm , 5, 10, 15, 19, 21. 22, 25, 30, 35, 37, 38, 39,41 4.4 1 4.6 1,2.3, 6, 9,13-15, 21-24, 26,28 4.7 4,7,11, 14, 15, 17, 20, 22,26, 28, 30, 32,33, 34,35,36,37 6.1 5, 6, 8, 12, 14, 15, 16, 18, 19, 23, 24, 25, 27, 30, 31, 36, 37 6.2 4,5, 7, 10, 15, 19, 22, 23, 24, 26, 27, 28 6.3 1, 2,3, 6, 7,9, 11, 12, 14, 15,16,18,23,30,31,32 71 1,5, 12, 13, 14, 15, 16, 17, 18, 23, 26, 27, 28, 29, 32, 33, 34, 35, 38,40 7.2 3, 4, 9, 13, 15, 17, 20, 24, 29, 30, 31, 32, 34, 35, 36, 39, 40 7.3 3,5,8,10,15,18,19,21,25,30,31,38,39,41,45, 47, 48, 49,50,51,53,56,59,63,67,70, 7.4 4, 6,9, 11, 13, 19, 21, 25, 26, 28, 29, 31, 32, 33, 38, 40, 45, 46,49.52,53,59,60 7.5 1-12 7.6 1, 2,5, 7,9, 10, 12 Appendix II 1, 3, 8, 9, 13, 15, 19, 23, 27, 34, 38, 39, 47, 49, 51, 53, 55 8.1 1, 2, 6, 7, 13, 25 8.2 1,2, 3, 4, 5, 6, 9, 13, 23, 25, 33, 34, 35, 39, 41, 42, 44, 45 Final Exam (50% of course grade) comprehensive