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| Course Description |
|
| Course Name |
: |
Mathematical Methods in Statistics I |
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| Course Code |
: |
BİS501 |
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| Course Type |
: |
Optional |
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| Level of Course |
: |
Second Cycle |
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| Year of Study |
: |
1 |
|
| Course Semester |
: |
Fall (16 Weeks) |
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| ECTS |
: |
5 |
|
| Name of Lecturer(s) |
: |
Prof.Dr. ZELİHA NAZAN ALPARSLAN
|
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| Learning Outcomes of the Course |
: |
Defines functions and sketches their graphs
Recognizes trigonometric functions
Computes the limits of continuous function variables
Explains the link between limit and derivative
Computes the first and the second degree derivatives
|
|
| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
|
| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
To supply the mathematical prerequisites for training in biostatistics. |
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| Course Contents |
: |
Functions; Derivatives; Applications of derivatives. |
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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 |
Overview |
Studying the related source |
reading |
|
2 |
Functions |
Studying the related source, problem solving |
reading |
|
3 |
Composite functions |
Studying the related source, problem solving |
reading |
|
4 |
Graphs |
Studying the related source, problem solving |
reading |
|
5 |
Trigonometric functions |
Studying the related source, problem solving |
reading |
|
6 |
Limits of trigonometric functions |
Studying the related source, problem solving |
reading |
|
7 |
Limits of continious functions |
Studying the related source, problem solving |
reading |
|
8 |
MID TERM EXAM |
|
|
|
9 |
The derivative |
Studying the related source |
reading |
|
10 |
The derivative and continuity |
Studying the related source, problem solving |
reading |
|
11 |
Derivatives of sums and differences |
Studying the related source, problem solving |
reading |
|
12 |
Derivatives of products and quotients |
Studying the related source, problem solving |
reading |
|
13 |
Derivatives of composite functions |
Studying the related source, problem solving |
reading |
|
14 |
Second derivatives |
Studying the related source, problem solving |
reading |
|
15 |
Derivatives and graphing |
Studying the related source, problem solving |
reading |
|
16/17 |
EXAM |
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|
|
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Calculus and Analytical Geometry: Sherman Stein, Anthony Barcellos
Calculus: Ron Larson , Bruce H. Edwards
|
| |
| Required Course Material(s) | |
|
|
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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). |
|
|
| 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 |
3 |
42 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
3 |
3 |
|
Final Exam |
1 |
3 |
3 |
|
Total Workload: | 118 |
| Total Workload / 25 (h): | 4.72 |
| ECTS Credit: | 5 |
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