151x Filetype PDF File size 0.52 MB Source: www.bau.edu.lb
Math342- Vector Calculus Basic Information Course Title: Vector Calculus Code: Math 342 Hours: 3 Lecture: 3 Tutorial: 0 Practical: 0 Credit hours: 3 Academic Year/Level: 2015/2016 Year: 2nd Term: Spring Specialization: Mathematics Catalog Description: Vector fields, differentiation of vector functions, the derivation as a linear transform, gradient of scalar function, inverse and implicit function theorem, directional derivative, divergence, curl, differential forms, linear integrals, Stokes theorem and Green’s Theorem with applications, orthogonal curvilinear coordinate systems, cylindrical, spherical and elliptic coordinate systems. Prerequisite: Math241 Prerequisite to: None Course Objectives: The aim is to provide the student with basic topics in Vector Analysis, where the focus on the notion of the Gradient, the Curl, and the Divergence of vectors. Study important theorems in Physics and applied Mathematics such as Gauss divergence theorem and its applications, Stocks theorem, Green’s theorems, and Green theorem in the plane. The course is ended by studying the curvilinear coordinate systems. Intended Learning Outcomes (ILO’s) Knowledge and understanding: K1-Identify basic theorems and concepts of vector calculus. K2-Classify mathematical problems and discuss them with appropriate theorems and concepts in problem solving. K3-Define vector derivatives and vector field integration. Intellectual abilities: I1-Formulate problems using tools of Stokes and Green theorems. I2-Evaluate integrals using different methods and techniques. I3-Apply techniques of vector derivatives and vector integration to physical and mathematical problems. I4-Apply theorems and rules of calculus to physical and mathematical problems. Professional and Practical competencies: P1-Solve many physical problems using tools of vector calculus manually. P2-Operate and practice with problems in mathematics and physics using available techniques of vectors. P3-Solve problems using skills, and tools of modern mathematics. General and Transferable Skills: S1-Communicate ideas effectively in graphical, oral, and written media S2-Functioning in multi-disciplinary teams. S3-Deal with Scientific material in English Schedule: Week No Topics 1 Vector fields, differentiation of vector functions 2 the derivation as a linear transform, gradient of scalar function 3 inverse and implicit function theorem, directional derivative, divergence, curl 4 inverse and implicit function theorem, directional derivative, divergence, curl 5 differential forms, linear integrals 6 Stokes theorem and Green’s Theorem with applications th 7 7 Week Exam 8 Stokes theorem and Green’s Theorem with applications 9 Stokes theorem 10 orthogonal curvilinear coordinate systems 11 orthogonal curvilinear coordinate systems th 12 12 Week Exam 13 cylindrical coordinate systems 14 spherical coordinate systems 15 elliptic coordinate systems 16 Final exam Teaching and Learning Methods The course comprises a combination of lectures, practical sessions. Teaching and Learning Methods for Students with Special Needs: Consulting with lecturer during office hours. Private sessions for redelivering the lecture contents. Student Assessment Methods, Schedule and Grading Assess. Type To assess Start Week Submission Weight of No. No. Week No. Assess. th 1 7 Week Exam K1,K2,I3 8 8 30% th 2 12 Week Exam K1,I2, I2,I3 4 4 30% 3 Final Exam K1,K2,I2,I3 16 16 40% Total 100% Evaluation: th 7 Week Exam (30%) th 12 Week Exam (30%) Final exam: (40%) Policies: As set by BAU regulations, and specified in Student Manual, students who miss more than one-fifth of the sessions of any course in the first ten weeks of the semester will be required to withdraw from the course with a grade of “WF”. References: Course Notes Textbook - Seymour Lishutz, Shaum's Outlines Vector Analysis and an Introduction to Tensor Analysis, nd 2 edition, McGraw-Hill Companies, Inc., NewYork, 2009. Recommended Textbook: - Seymour Lishutz, Shaum's Outlines Vector Analysis and an Introduction to Tensor Analysis, nd 2 edition, McGraw-Hill Companies, Inc., NewYork, 2009. Name of the Lecturer: HalaFaroukIdriss Course Coordinator: HalaFaroukIdriss
no reviews yet
Please Login to review.