Semester
                                                                                                                                              
                                              Course name: MATH211 Advanced                   Department: Mathematics             3
                                              Calculus I                                                                            
                                                                                                                                  
                                                                        Methods of Education                                      Credit 
                                                                                                                                  (ECTS) 
                                              Lecture     Recitation/    Lab    Project/Field    Homework Other Total
                                                                                                                                  
                                                          (Etud)                Study                                                 10 
                                                 75            0          0           0               75         150      300
                                                                                                                                
               Language                       English          7
               Compulsory/Elective            Compulsory       5
                                                               5
               Prerequisites                 MATH 112 Calculus II 
                                                               5
                                                                  
                                              Functions  of   several   variables,   partial   differentiation,   directional   derivatives,
               Course Contents                                                                                                               
                                              gradients,  uniform  convergence,  the  mean  value,  implicit  and  inverse  function 
                                              theorems, applications of partial differentiation 
                                                Weeks  Subjects                                                                            
                                                          Functions of Several Variables 
                                                   1 
                                                   2      Functions of Several Variables 
              
                                                   3      Partial Differentiation 
                                                   4      Partial Differentiation 
              
                                                   5      Partial Differentiation 
                                                   6      Directional Derivatives 
              
                                                   7      Gradients 
                                                          Uniform Convergence 
                                                   8 
                                                   9      Uniform Convergence 
              
                                                  10      The Mean Value Theorem and Implicit Function Theorem 
               Weekly Detailed                    11      The Mean Value Theorem and Implicit Function Theorem 
               Course Contents                            Applications of Partial Differentiation
                                                  12                                                 
                                                  13      Applications of Partial Differentiation 
                                                  14      Applications of Partial Differentiation 
                                              The purpose of this course is to 
                                              
                                                   •   teach  how  to  solve  how  to  solve  problems  in  differential  calculus  of 
              
               Course Objectives                       functions of several variables. 
                                                   •   illustrate  the  concepts  and  results  of  differential  calculus  of  several 
                                                       variables. 
                                              Upon completion of this course  students will be able to 
                                              
              
                                                   •   analyze the concept of multivariable functions as well as their limits, 
                                                       partial derivatives. 
               Learning Outcomes and               •   apply the technical tools to solve the problems related to applications of 
               Competences                             partial differentiation. 
            
                                          
                                          Main texbooks :
                                                           
                                          
             Textbook and /or                 •   R. Silverman, Calculus with Analytic Geometry, Prentice Hall. 
             References
                                              •   J. E. Marsden, M.J. Hoffman, Elementary Classical Analysis, W. H. Freeman 
                                                  and Company. 
                                              •   R. A. Adams, C. Essex, Calculus A Complete Course, Pearson. 
                                                                                If any, mark as (X)        Percentage (%)
                                                                                                                           
                                          Midterm Exams                         X                          40
                                                                                                               
             
                                          Quizzes                                                          
                                                   
             
                                          Homeworks                                                        
             Assessment Criteria                       
                                          Projects                                                         
                                                   
                                          Term Paper                                                       
                                          Laboratory work                                                  
                                                            
                                          Other                                                            
                                                 
                                          Final Exam                            X                          60