Single Variable Analysis I(MAT101)
Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
---|---|---|---|---|---|---|---|
MAT101 | Single Variable Analysis I | 1 | 5 | 0 | 0 | 5 | 7 |
Prerequisites | |
Admission Requirements |
Language of Instruction | French |
Course Type | Compulsory |
Course Level | Bachelor Degree |
Course Instructor(s) | Ayşegül ULUS aulus@gsu.edu.tr (Email) |
Assistant | |
Objective | To build, with appropriate rigour, the foundations of calculus and along the way to develop the skills to enable us to continue studying mathematics |
Content | Course syllabus : Real Numbers, Sequences, Topology of R, Continuity, Limits |
Course Learning Outcomes | The student is expected to learn the main notions ( Real Numbers, Sequences, Topology of R, Continuity, Limits). |
Teaching and Learning Methods | Course and the problem solving |
References | Course book : First Course in Real Analysis, Sterling K.Berberian, Springer |
Theory Topics
Week | Weekly Contents |
---|---|
1 | Properties of reel numbers |
2 | Properties of reel numbers |
3 | İnfimum- Supremum |
4 | İnfimum- Supremum |
5 | Midterm Exam |
6 | Sequences : Definitions and examples |
7 | Sequences : Limits |
8 | Sequences : Convergence theorem |
9 | Sequences : Convergence theorem |
10 | Midterm Exam- Notions of function |
11 | Limits and continuous functions : Limits |
12 | Limits and continuous functions : Continuity in one point |
13 | Limits and continuous functions : Continuity on an interval |
14 | Limits and continuous functions : Elemamtary functions |
Practice Topics
Week | Weekly Contents |
---|
Contribution to Overall Grade
Number | Contribution | |
---|---|---|
Contribution of in-term studies to overall grade | 7 | 60 |
Contribution of final exam to overall grade | 1 | 40 |
Toplam | 8 | 100 |
In-Term Studies
Number | Contribution | |
---|---|---|
Assignments | 2 | 5 |
Presentation | 2 | 5 |
Midterm Examinations (including preparation) | 2 | 40 |
Project | 0 | 0 |
Laboratory | 0 | 0 |
Other Applications | 0 | 0 |
Quiz | 1 | 10 |
Term Paper/ Project | 0 | 0 |
Portfolio Study | 0 | 0 |
Reports | 0 | 0 |
Learning Diary | 0 | 0 |
Thesis/ Project | 0 | 0 |
Seminar | 0 | 0 |
Other | 0 | 0 |
Toplam | 7 | 60 |
No | Program Learning Outcomes | Contribution | ||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | ||
1 | understands principles of deductive reasoning; has experience to verify well-foundedness and exactness of mathematical statements in systematic ways; | X | ||||
2 | can properly state and use concepts and results of major mathematical interest; | X | ||||
3 | masters current computational techniques and algorithms; has a good ability in their use; can identify relevant tools, among those one has learned, suitable to solve a problem and is able to judge whether or not one is in possession of these tools; | X | ||||
4 | is able to express one’s mathematical ideas in an organised way both in written and oral forms; | X | ||||
5 | understands relations connecting substantial concepts and results; can switch from one viewpoint to another on mathematical objects (pictures, formulae, precise statements, heuristic trials, list of examples,...); | X | ||||
6 | has followed individually a guided learning strategy; has pursued steps toward the resolution of unfamiliar problems; | X | ||||
7 | has a theoretical and practical knowledge in computer science well adapted for learning a programming language; | X | ||||
8 | has investigated the relevance of modeling and using mathematical tools in natural sciences and in the professional life; is conscious about historical development of mathematical notions; | X | ||||
9 | has followed introduction to some mathematical or non-mathematical disciplines after one’s proper choice; had experience to learn selected subjects according to one’s proper arrangement; | X | ||||
10 | masters French language as well as other foreign languages, to a level sufficient to study or work abroad. | X |
Activities | Number | Period | Total Workload |
---|---|---|---|
Class Hours | 14 | 5 | 70 |
Working Hours out of Class | 14 | 3 | 42 |
Assignments | 2 | 3 | 6 |
Presentation | 2 | 3 | 6 |
Midterm Examinations (including preparation) | 2 | 12 | 24 |
Final Examinations (including preparation) | 1 | 15 | 15 |
Term Paper/ Project | 1 | 3 | 3 |
Total Workload | 166 | ||
Total Workload / 25 | 6,64 | ||
Credits ECTS | 7 |