A.1 | Defines functions in more than one variable and their properties. |
A.2 | Identifies the different ways to solve the problems of partial differentiation and its applications. |
A.3 | The student learns how to calculate the areas and volumes of geometric shapes. |
A.4 | The student is introduced to point and directional multiplication and the calculation of linear integration and its theories. |
A.5 | Know the types of convergence tests for sequences and series. |
In. Mental (skills)
The mental skills that the student acquires on analysis after studying the course successfully, and the ability to think creatively, identify and solve problems are:
B.1 | Clarifies the area of the range and discusses the connection of functions in more than one variable. |
B.2 | The student concludes the calculation of partial derivatives and their applications. |
B.3 | The student interprets the problems of multiple integration and its applications. |
B.4 | Compare divergence and convolution and analyze linear integration problems. |
B.5 | Discusses the convergence and divergence of sequences and series. |
c. Practical & Professional (Skills)
The skills that the student must acquire when studying the course successfully, in order to enable him to use what he has studied in professional applications, are:
C.1 | The student uses the basic concepts to find the range and connection of functions in more than one variable. |
C.2 | Partial differential and its applications are applied in the field of specialization. |
C.3 | The student proposes appropriate methods for solving multiple integration problems. |
C.4 | Point and directional multiplication is used to calculate gradient, divergence, and convolution, and linear integration is calculated in any problem related to it. |
C.5 | The ability to choose the appropriate test to study the convergence and divergence of sequences and series. |
D. Generic (and transferable skills)
General skills or skills that can be used in the fields of work that the student must acquire when studying the course successfully, so that they can be applied in any field are:
D.1 | The student's ability to communicate and communicate in writing and orally with colleagues. |
D.2 | The student's ability to self-learning and continuous learning. |
D.3 | The student's ability to work as a team. |
Teaching and learning methods
The methods and methods used in teaching the course are:
· Theoretical lectures.
· Lectures on solving exercises.
Methods of assessments
(Assessment table)
The types of assessment used in the process of teaching and learning the course to ensure that they achieve learning outcomes are:
Rating No. | Evaluation methods | Evaluation Duration | Evaluation weight | Percentage | Rating Date (Week) |
First Assessment | Written test | An hour and a half | 25 scheduled | 25% | Sixth |
Second Assessment | Written test | An hour and a half | 25 scheduled | 25% | Eleventh |
Final Evaluation | Written test | Two hours | All Course | 50% | End of Semester |
Total | 100 degree | 100% | |||
(References )
Bibliography | Publisher | Version | Author | Where it is located |
Textbooks Calculus with analytic geometry ,earl |
- |
- |
W.Swokowski | Internet |
Help Books Mathematical Analysis (Advanced Differentiation) |
University of Tripoli |
First 2015 | Doctor Alfituri Muhammad Omar Dr. Ahmed Sadiq Al-Qurmani | University Book Sales |
Course (contents)
The main scientific topics covered by the course, the number of semester hours allocated to teaching a topic of lectures, and the course matrix is used to determine the target learning outcomes distributed over the academic weeks.
number Weeks | Scientific topic | Number of Hours | Lecture | Discussion/Application | ||||
1 | Functions in more than one variable | 5 | 3 | 2 | ||||
1 | Endings - Contact | 5 | 3 | 2 | ||||
1 | Partial derivatives | 5 | 3 | 2 | ||||
1 | Series Base - Perfect Differential | 5 | 3 | 2 | ||||
1 | Directional differential - jacube - gradient and operations on it. | 5 | 3 | 2 | ||||
1 | Binary integration - change the order of integration | 5 | 3 | 2 | ||||
1 | Integration by changing coordinates - triple integration. | 5 | 3 | 2 | ||||
1 | find triangular integral using cylindrical and spherical coordinates, | 5 | 3 | 2 | ||||
1 | Cross product - dot multiplication - vector fields. | 5 | 3 | 2 | ||||
1 | Spacing and its properties – rotation and its properties. Linear Integration | 5 | 3 | 2 | ||||
1 | Green's Theorem - Stoke's Theorem - Spacing Theory | 5 | 3 | 2 | ||||
1 | Sequences and series: sequences of real numbers - series of real numbers | 5 | 3 | 2 | ||||
1 | Convergence test for series - Absolute convergence and conditional convergence | 5 | 3 | 2 | ||||
1 | Power Series – Taylor and Ma Chlorine series. | 5 | 3 | 2 | ||||