- Course Code
- MBG114
- Semester
- Second Term (Spring)
- Theory+Practice
- 3 + 0
- ECTS
- 4
| Course Type | Compulsory Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | 1 |
|---|
| Semester | Second Term (Spring) |
|---|
| ECTS | 4 |
|---|
| Name of Lecturer(s) |
|
| Learning Outcomes |
At the end of this course, the students;
- Develop the habit of mathematical thinking and be able to think critically and systematically.
- Understand the importance of mathematics in their specific fields of study.
- Become educated individuals capable of applying mathematics in their respective fields.
|
| Mode of Delivery | Face to face |
|---|
| Prerequisites | No |
|---|
| Recommended Optional Programme Components | None |
|---|
| Course Description | In this course, students will learn definite and indefinite integrals and integration techniques, and how to apply them to calculate area and volume; examine the analytic geometry of lines and planes in space using operations involving vectors and matrices; apply concepts related to counting in probability calculations; and explore conditional probability and the independence of events in various contexts. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Introduction to the Course Syllabus, Antiderivatives |
|
2nd Week |
Indefinite Integrals, Basic Integration Techniques, Substitution Method |
|
3rd Week |
Definite Integrals |
|
4th Week |
Area Between Two Curves |
|
5th Week |
Volumes of Solids of Revolution; Disk (Washer) Method |
|
6th Week |
Cylindrical Shell Method (Review and Problem Solving) |
|
7th Week |
Integration Techniques: Integration by Parts, Trigonometric Integrals, Trigonometric Substitution, Partial Fraction Decomposition |
|
8th Week |
Matrices and Determinants |
|
9th Week |
Vectors in 3-Dimensional Space: Vectors, Dot Product, Cross Product, Lines and Planes in 3D Space |
|
10th Week |
Permutations and Combinations |
|
11th Week |
Sample Spaces and Events (Quiz) |
|
12th Week |
Conditional Probability, Bayes' Rule, and Independent Events |
|
13th Week |
Course Review and Problem Solving |
|
14th Week |
Course Review and Problem Solving |
|
| Recommended or Required Reading | Hass, Heil, Bogacki, Weir, Thomas` Calculus, 15th Edition, Pearson 2023
Lecture Notes by Bahaettin Cengiz
webwork.baskent.edu.tr |
|---|
| Planned Learning Activities and Teaching Methods |
- Questions/Answers
- Problem Solving
- Lecture
- Discussion
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
35 |
| Assignment |
5 |
5 |
| Quiz |
1 |
10 |
| Total(%) |
|
50 |
| Contribution of In-term Studies to Overall Grade(%) |
|
50 |
| Contribution of Final Examination to Overall Grade(%) |
|
50 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
1 |
4 |
4 |
| Individual or group work |
|
|
|
| Preparation for Final exam |
1 |
35 |
35 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
30 |
30 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
5 |
1 |
5 |
| Quiz |
1 |
0.5 |
0.5 |
| Total Work Load | 120.5 |
| Total Work Load / 30 (h) | 4.01 |
| ECTS Credit of the Course | 4 |
|
| Language of Instruction | Turkish |
|---|
| Work Placement(s) | No |
|---|
Programme Qualifications / Learning Outcomes
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LO1 |
LO2 |
LO3 |
| K1 |
X |
X |
X |
| K2 |
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| K3 |
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| K4 |
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| K5 |
X |
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X |
| K6 |
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| K7 |
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| K8 |
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| K9 |
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| K10 |
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| K11 |
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| K12 |
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| K13 |
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