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| Course Description |
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| Course Name |
: |
Mathematics 2 |
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| Course Code |
: |
IMZ102 |
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| Course Type |
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Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
1 |
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| Course Semester |
: |
Spring (16 Weeks) |
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| ECTS |
: |
6 |
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| Name of Lecturer(s) |
: |
Assoc.Prof.Dr. ALİ HAMZA TANRIKULU
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| Learning Outcomes of the Course |
: |
Is knowledgeable about Solution Techniques of Mathematical Problems in Engineering Analysis
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| Mode of Delivery |
: |
Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
Teaching of Integral concept and its application in engineering |
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| Course Contents |
: |
Calculus and Engineering Applications |
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| Language of Instruction |
: |
Turkish |
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| Work Place |
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Classroom |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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1 |
Differential, Antiderivative, Indefinite integral, Indefinite integral features |
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2 |
Integral Techniques, Basic Elements Separation, The Method of Substitution, Partial Integral Method |
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3 |
Trigonometric integrals, Trigonometric Substitution, Some Rooted Expressions Integrals |
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4 |
Integral of Rational Functions, Basic Fractionization Method |
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5 |
The Definite Integral, Riemann Sum, Definite Integral Calculus, The Basic Area Problem |
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6 |
Some Properties of Definite Integral, Definite Integrals of Piecewise Continuous Functions |
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7 |
The Method of Substitution in Definite integrals, Partial Integration in Definite integrals |
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8 |
Improper Integrals, First Type Improper Integrals, Second Type Improper integrals, Average Value of a Function |
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|
9 |
Areas of Plane Regions, Areas Between Two Curves |
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10 |
Mid-Term Exam |
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11 |
Volume Calculation, Volumes of Solids of Revolution, Other Volumes by Slicing |
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12 |
Mean Value Theorem, Arc Length, Areas of Surface of Revolution |
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13 |
Three-Dimensional Coordinate System, Functions of Several Variables, Functions of Two Variables |
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14 |
Partial Derivatives, High Order Partial Derivatives, Total Differential, Composite Functions Derivatives, Implicit Differentiation |
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15 |
Double integrals, Double Integral Calculus, Properties of Double Integral |
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16/17 |
Final Exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 1. STEWART, J., Kalkülüs Diferansiyel ve İntegral Hesap Kavram ve Kapsam. Türkiye Bilimler Akademisi, Ankara, 990 s.
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
100 |
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Homeworks/Projects/Others |
0 |
0 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
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Final Assessments
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100 |
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Rate of Final Assessments to Success
|
60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
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1 |
Designs a system, a component or a process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, sustainability limitations. |
1 |
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2 |
Identifies proper sources of information and databases, reaches them and uses them efficiently. |
2 |
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3 |
Follows the advancements in science and technology being aware of the necessity of lifelong learning and continuously improves her/himself. |
2 |
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4 |
Uses the computers and information technologies related with civil engineering actively. |
0 |
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5 |
Gains the ability to communicate effectively both orally and in writing. |
0 |
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6 |
Communicates using technical drawing |
0 |
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7 |
Has an understanding of entrepreneurship and innovation subjects, and is knowledgeable of contemporary issues. |
0 |
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8 |
Has an awareness of professional and ethical responsibility |
3 |
|
9 |
Has the required knowledge in project management, workplace practices, employee health, environmental and occupational safety; and the legal implications of engineering applications. |
0 |
|
10 |
Has the basic knowledge of math, science and civil engineering |
3 |
|
11 |
Has a good commman of basic concepts, theories and principles in civil engineering. |
4 |
|
12 |
Independently reviews and learns the applications, makes a critical assessment of the problems faced with, selects the proper technique to formulate problems and propose solutions |
2 |
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13 |
Selects and uses the modern techniques and tools necessary for engineering practice |
1 |
|
14 |
Designs and carries out experiments in the fields of civil engineering, and interprets the results and the data obtained from the experiments |
0 |
|
15 |
Gains the abiltiy to work effectively as a member in interdisciplinary teams |
0 |
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16 |
Constantly improves her/himself by identifying the training needs in scientific, cultural, artistic and social fields. |
0 |
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17 |
Continuously improves her/himself by defining necessities in learning in scientific, social, cultural and artistic areas besides the occupational requirements.
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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 |
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Class Time (Exam weeks are excluded) |
14 |
3 |
42 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
6 |
84 |
| Assesment Related Works |
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Homeworks, Projects, Others |
0 |
0 |
0 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
10 |
10 |
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Final Exam |
1 |
10 |
10 |
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Total Workload: | 146 |
| Total Workload / 25 (h): | 5.84 |
| ECTS Credit: | 6 |
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