COURSE SYLLABUS
CALCULUS III (DIFFERENTIAL EQUATIONS)
| 1 |
Course Title: |
CALCULUS III (DIFFERENTIAL EQUATIONS) |
| 2 |
Course Code: |
MAT2083 |
| 3 |
Type of Course: |
Compulsory |
| 4 |
Level of Course: |
First Cycle |
| 5 |
Year of Study: |
2 |
| 6 |
Semester: |
4 |
| 7 |
ECTS Credits Allocated: |
6 |
| 8 |
Theoretical (hour/week): |
3 |
| 9 |
Practice (hour/week) : |
2 |
| 10 |
Laboratory (hour/week) : |
0 |
| 11 |
Prerequisites: |
- |
| 12 |
Recommended optional programme components: |
None |
| 13 |
Language: |
Turkish |
| 14 |
Mode of Delivery: |
Face to face |
| 15 |
Course Coordinator: |
Dr. Ögr. Üyesi SETENAY DOĞAN |
| 16 |
Course Lecturers: |
Prof.Dr.Mehmet Çağlıyan, Yrd.Doç.Dr.Nisa Çelik, Yrd.Doç.Dr.Emrullah Yalçın, Yrd.Doç.Dr.Sezai Hızlıyel |
| 17 |
Contactinformation of the Course Coordinator: |
setenay@uludag.edu.tr
0224 2941763
U.Ü. Fen Edebiyat Fakültesi Matematik Bölümü Nilüfer BURSA |
| 18 |
Website: |
|
| 19 |
Objective of the Course: |
Mathematics, physics and engineering problems to teach the types of analytic solutions of differential equations is used to obtain |
| 20 |
Contribution of the Course to Professional Development |
|
| 21 |
Learning Outcomes: |
| 1 |
Knows to solve differential equations;
|
| 2 |
Learn basic mathematical formulas, and use the best;
|
| 3 |
Learns the analytical solution;
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| 4 |
Knows to apply differential equations to mathematics and physics;
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|
| Week |
Theoretical |
Practical |
| 1 |
Definition and properties of differential equations. Types of first order equations and solutions |
|
| 2 |
The initial and boundary value problems, existence and uniqueness theorem for differential equations |
|
| 3 |
First order differential equations
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|
| 4 |
Separable, linear Bernoulli, Riccati equations |
|
| 5 |
May become homogeneous equations, the variable substitution method and its applications |
|
| 6 |
Nonlineer differential equations |
|
| 7 |
The first Midterm exam and general review |
|
| 8 |
n th order differential equations. Fixed or variable-coefficienthomogeneous equations and solution methods. |
|
| 9 |
Non-homogeneous solution of the equation. method of undetermined coefficiens. |
|
| 10 |
The second midterm and general review |
|
| 11 |
Variation of parameters and the Cauchy-Euler differential equation |
|
| 12 |
System of differential equations and their solutions |
|
| 13 |
Laplace transform and the Laplace transform solution of differential equations. |
|
| 14 |
Physics and engineering applications of differential equations |
|
| 23 |
Textbooks, References and/or Other Materials: |
Adi Diferensiyel Denklemler
Mehmet Çağlıyan
Nisa Çelik
Setenay Doğan
|
| 24 |
Assesment |
|
| TERM LEARNING ACTIVITIES |
NUMBER |
PERCENT |
| Midterm Exam |
2 |
50 |
| Quiz |
0 |
0 |
| Homeworks, Performances |
0 |
0 |
| Final Exam |
1 |
50 |
| Total |
3 |
100 |
| Contribution of Term (Year) Learning Activities to Success Grade |
50 |
| Contribution of Final Exam to Success Grade |
50 |
| Total |
100 |
| Measurement and Evaluation Techniques Used in the Course |
|
| Information |
|
| 25 |
|
ECTS / WORK LOAD TABLE |
| Activites |
NUMBER |
TIME [Hour] |
Total WorkLoad [Hour] |
| Theoretical |
14 |
3 |
42 |
| Practicals/Labs |
14 |
2 |
28 |
| Self Study and Preparation |
14 |
5 |
70 |
| Homeworks, Performances |
0 |
0 |
0 |
| Projects |
0 |
0 |
0 |
| Field Studies |
0 |
0 |
0 |
| Midtermexams |
2 |
10 |
20 |
| Others |
0 |
0 |
0 |
| Final Exams |
1 |
20 |
20 |
| Total WorkLoad |
|
|
180 |
| Total workload/ 30 hr |
|
|
6 |
| ECTS Credit of the Course |
|
|
6 |
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CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS |
|
PQ1
|
PQ2
|
PQ3
|
PQ4
|
PQ5
|
PQ6
|
PQ7
|
PQ8
|
PQ9
|
PQ10
|
PQ11
|
PQ12
|
PQ13
|
PQ14
|
PQ15
|
PQ16
|
PQ17
|
PQ18
|
PQ19
|
PQ20
|
PQ21
|
PQ22
|
PQ23
|
PQ24
|
|
LO1
|
2
|
0
|
3
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
|
|
|
LO2
|
0
|
5
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
|
|
|
LO3
|
0
|
0
|
0
|
4
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
|
|
|
LO4
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
0
|
|
|
|
|
|
|
|
|
|
| LO: Learning Objectives |
PQ: Program Qualifications |
| Contribution Level: |
1 Very Low |
2 Low |
3 Medium |
4 High |
5 Very High |
