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