- Course Code
- MBGE113
- Semester
- First Term (Fall)
- Theory+Practice
- 3 + 0
- ECTS
- 4
| Course Type | Compulsory Course |
|---|
| Course Level | Bachelor's Degree |
|---|
| Year of Study | 1 |
|---|
| Semester | First Term (Fall) |
|---|
| 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 about some basic functions and how to find their limits; the concept of continuity and types of discontinuity; the concept of a derivative and the rules for differentiation; and they will apply this knowledge to solve various problems, such as graphing curves, calculating relative velocity, and optimization. |
|---|
| Course Contents |
| WEEK |
TOPICS |
|
1st Week |
Some Basic Concepts, Functions and Their Graphs |
|
2nd Week |
Combination of Functions, Transformations and Trigonometric Functions |
|
3rd Week |
Exponential Functions, Inverse and Logarithmic Functions, Inverse Trig Functions |
|
4th Week |
Limit and Limit Rules |
|
5th Week |
Asymptotes, Drawing the graph of a function roughly |
|
6th Week |
Continuity and The Mean Value Theorem |
|
7th Week |
Review, Resitation |
|
8th Week |
Derivative, Geometric and Physical Interpretation of Derivative |
|
9th Week |
Differentiation Rules, Chain Rule |
|
10th Week |
Derivative of Loarithmic and Exponential Functions, Implicit Differentiation |
|
11th Week |
Related Rates, Intermediate Value Theorem (Quiz) |
|
12th Week |
First and Second Derivative Tests, Drawing the graph of a function in full detail |
|
13th Week |
Optimization Problems |
|
14th Week |
Review, Resitation |
|
| 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 |
- Lecture
- Questions/Answers
- Problem Solving
|
|---|
| Assessment Methods and Criteria |
|
Quantity |
Percentage (%) |
| Mid-term |
1 |
35 |
| Assignment |
5 |
10 |
| Quiz |
1 |
10 |
| Total(%) |
|
55 |
| Contribution of In-term Studies to Overall Grade(%) |
|
55 |
| Contribution of Final Examination to Overall Grade(%) |
|
45 |
| Total(%) |
|
100 |
|
| ECTS Allocated Based on Student Workload |
| Activities |
Quantity |
Duration (Hour) |
Total Workload (Hour) |
| Midterm exam |
1 |
2 |
2 |
| Preparation for Quiz |
1 |
2 |
2 |
| Individual or group work |
14 |
1.5 |
21 |
| Preparation for Final exam |
1 |
22 |
22 |
| Course hours |
14 |
3 |
42 |
| Preparation for Midterm exam |
1 |
25 |
25 |
| Laboratory (including preparation) |
|
|
|
| Final exam |
1 |
2 |
2 |
| Homework |
5 |
1 |
5 |
| Quiz |
1 |
0.5 |
0.5 |
| Total Work Load | 121.5 |
| Total Work Load / 30 (h) | 4.05 |
| ECTS Credit of the Course | 4 |
|
| Language of Instruction | English |
|---|
| 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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