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| Course Description |
|
| Course Name |
: |
Mathematical Methods in Statistics II |
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| Course Code |
: |
BİS502 |
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| Course Type |
: |
Optional |
|
| Level of Course |
: |
Second Cycle |
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| Year of Study |
: |
1 |
|
| Course Semester |
: |
Spring (16 Weeks) |
|
| ECTS |
: |
4 |
|
| Name of Lecturer(s) |
: |
Prof.Dr. ZELİHA NAZAN ALPARSLAN
|
|
| Learning Outcomes of the Course |
: |
Determines the convergence of an infinite series
Expresses the functions as power series
Computes definite and indefinite integrals
Computes vector and matrix calculations (product, determinant)
|
|
| Mode of Delivery |
: |
Face-to-Face |
|
| Prerequisites and Co-Prerequisites |
: |
BİS501 Mathematical Methods in Statistics I
|
|
| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
To provide the student with the prerequsite mathematcal background |
|
| Course Contents |
: |
Integrals, applications with integrals, series, |
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| Language of Instruction |
: |
Turkish |
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| Work Place |
: |
Class |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Integrals |
Studying the related source |
reading |
|
2 |
Integrals of the product and rational functions |
Studying the related source, problem solving |
reading |
|
3 |
Applications of integrals |
Studying the related source, problem solving |
reading |
|
4 |
Applications |
Studying the related source, problem solving |
reading |
|
5 |
Series |
Studying the related source, problem solving |
reading |
|
6 |
Applications of series |
Studying the related source, problem solving |
reading |
|
7 |
EXAM |
|
|
|
8 |
Power series, Taylor series |
Studying the related source |
reading |
|
9 |
Taylor expansion and error |
Studying the related source, problem solving |
reading |
|
10 |
Vectors |
Studying the related source, problem solving |
reading |
|
11 |
Vector products |
Studying the related source, problem solving |
reading |
|
12 |
Determinants |
Studying the related source, problem solving |
reading |
|
13 |
Derivatives of vector functions |
Studying the related source, problem solving |
reading |
|
14 |
Partial derivatives, the chain rule |
Studying the related source, problem solving |
reading |
|
15 |
Practice |
Studying the related source, problem solving |
reading |
|
16/17 |
EXAM |
|
|
|
|
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Calculus Ron Larson , Bruce H. Edwards
Calculus and Analytical Geometry: Sherman Stein, Anthony Barcellos
|
| |
| Required Course Material(s) | |
|
|
|
Assessment Methods and Assessment Criteria |
|
Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
25 |
|
Homeworks/Projects/Others |
14 |
75 |
|
Total |
100 |
|
Rate of Semester/Year Assessments to Success |
40 |
| |
|
Final Assessments
|
100 |
|
Rate of Final Assessments to Success
|
60 |
|
Total |
100 |
|
|
| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Students design scientific research studies in order to give response to the problem arising from health and clinical sciences |
0 |
|
2 |
Students provide consulting services by using effective communication skills; take part in research teamworks; defend the ethical rules. |
0 |
|
3 |
Students collect data from research studies, analyze, and make inferences |
0 |
|
4 |
Students design health survey, determine the sampling method and conduct the survey |
0 |
|
5 |
Students knows the system of international classification of diseases, obtain and analyze hospital statistics. |
0 |
|
6 |
Students select the appropriate statistical procedure for analysis , apply and make inferences. |
3 |
|
7 |
Students use the necessary statistical packages for analysis, if necessary write and develop software. |
0 |
|
8 |
Students select and use proper statistical procedure for diagnosis and in making inferences for the data in health and clinical medicine and provide consultance to clinicians in the field. |
0 |
|
9 |
Students comprehends the fundamentals of statistical theory related to the field of health ( probability and bayesian biostatistics). |
5 |
|
10 |
Students explain demographic terminologies and statistical methods in the field of health sciences. |
0 |
|
11 |
Students understand and use medical terminology. |
0 |
|
12 |
Students develop the ability of critical thinking, make a conclusion with a critical approach to the evidence |
0 |
|
13 |
Students apply analytical procedure to frequently used survival data, multivariate procedure and regression techniques. |
0 |
|
14 |
Students follow the latest development in medical informatics and employ frequently used tools and methods. |
0 |
|
15 |
Students explain the fundamental terminologies in epidemiology, guide researchers conducting field survey and clinical studies, develop methodologies in determining disease risk factor and disease burden and advise for choosing proper diagnostic test. |
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
|
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
|
Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
|
Out of Class Study (Preliminary Work, Practice) |
14 |
2 |
28 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
14 |
2 |
28 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
3 |
3 |
|
Final Exam |
1 |
3 |
3 |
|
Total Workload: | 104 |
| Total Workload / 25 (h): | 4.16 |
| ECTS Credit: | 4 |
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