FACULTY OF ARTS AND SCIENCES
Department of Mathematics
SOCIAL MEDIA
MATH 110 | Course Introduction and Application Information
| Course Name |
Calculus II
|
|
Code
|
Semester
|
Theory
(hour/week) |
Application/Lab
(hour/week) |
Local Credits
|
ECTS
|
|
MATH 110
|
Spring
|
2
|
2
|
3
|
6
|
| Prerequisites |
|
|||||||
| Course Language |
English
|
|||||||
| Course Type |
Required
|
|||||||
| Course Level |
First Cycle
|
|||||||
| Mode of Delivery | face to face | |||||||
| Teaching Methods and Techniques of the Course | - | |||||||
| Course Coordinator | - | |||||||
| Course Lecturer(s) | ||||||||
| Assistant(s) | ||||||||
| Course Objectives | The major objective of this course is to give the student substantial experience in modeling and solving realworld problems by using derivative, integration and series |
| Learning Outcomes |
The students who succeeded in this course;
|
| Course Description | Areas as limits of sums, Riemann sums, definite and indefinite integrals, improper integrals, integration techniques, volumes of solids, arc length and surface area. |
|
|
Core Courses |
X
|
| Major Area Courses | ||
| Supportive Courses | ||
| Media and Management Skills Courses | ||
| Transferable Skill Courses |
WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES
| Week | Subjects | Related Preparation |
| 1 | The inverse trigonometric functions. Hyperbolic functions | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 3.5-3.7 |
| 2 | More Applications of differentiation. Finding roots of equations. Newton’s method | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 4.2-4.3 |
| 3 | Extreme values. The first derivative test. The second derivative test. Sketching graph of the functions | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 4.4 |
| 4 | Linear approximations and error analysis. Taylor polynomial | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 4.9 |
| 5 | Sums and sigma notations. Areas as limit of sums | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 5.1-5.2 |
| 6 | The definite integral. General Riemann sums. Properties of Definite integrals | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 5.3, 5.4 |
| 7 | The Mean value theorem for integrals. The fundamental theorem of the calculus, The method of substitution | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 5.5, 5.6 |
| 8 | Midterm Exam | |
| 9 | Areas of plane regions. Techniques of integration-1 | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 5.7, 6.1 |
| 10 | Areas of plane regions. Techniques of integration-2 | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 5.7, 6.1 |
| 11 | Techniques of integration-continuation. Integration by parts. Integrals of rational functions | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter . 6.1, 6.2 |
| 12 | The inverse substitution. The inverse trigonometric substitution | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 6.3 |
| 13 | Improper integrals of type I and type II. Estimating convergence and divergence | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 6.5 |
| 14 | Approximate integration. The trapezoid and midpoint rules,Simpson’s rule | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017. ISBN-13: 978-0134154367. Chapter 6.6,6.7 |
| 15 | Semester review | |
| 16 | Final exam |
| Course Notes/Textbooks | "Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition,2017, ISBN-13: 978-0134154367. |
| Suggested Readings/Materials | "Thomas' Calculus" by Finney, Weir, Giordano, Publisher: Addison Wesley Longman; 10th edition, 2001. ISBN-13: 978-0201441413. |
EVALUATION SYSTEM
| Semester Activities | Number | Weigthing |
| Participation | ||
| Laboratory / Application | ||
| Field Work | ||
| Quizzes / Studio Critiques | ||
| Portfolio | ||
| Homework / Assignments | ||
| Presentation / Jury | ||
| Project | ||
| Seminar / Workshop | ||
| Oral Exams | ||
| Midterm |
1
|
40
|
| Final Exam |
1
|
60
|
| Total |
| Weighting of Semester Activities on the Final Grade |
1
|
40
|
| Weighting of End-of-Semester Activities on the Final Grade |
1
|
60
|
| Total |
ECTS / WORKLOAD TABLE
| Semester Activities | Number | Duration (Hours) | Workload |
|---|---|---|---|
| Theoretical Course Hours (Including exam week: 16 x total hours) |
16
|
2
|
32
|
| Laboratory / Application Hours (Including exam week: '.16.' x total hours) |
16
|
2
|
32
|
| Study Hours Out of Class |
14
|
3
|
42
|
| Field Work |
0
|
||
| Quizzes / Studio Critiques |
0
|
||
| Portfolio |
0
|
||
| Homework / Assignments |
0
|
||
| Presentation / Jury |
0
|
||
| Project |
0
|
||
| Seminar / Workshop |
0
|
||
| Oral Exam |
0
|
||
| Midterms |
1
|
34
|
34
|
| Final Exam |
1
|
40
|
40
|
| Total |
180
|
COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP
|
#
|
Program Competencies/Outcomes |
* Contribution Level
|
||||
|
1
|
2
|
3
|
4
|
5
|
||
| 1 | To be able to have a grasp of basic mathematics, applied mathematics or theories and applications of statistics. |
X | ||||
| 2 | To be able to use advanced theoretical and applied knowledge, interpret and evaluate data, define and analyze problems, develop solutions based on research and proofs by using acquired advanced knowledge and skills within the fields of mathematics or statistics. |
|||||
| 3 | To be able to apply mathematics or statistics in real life phenomena with interdisciplinary approach and discover their potentials. |
X | ||||
| 4 | To be able to evaluate the knowledge and skills acquired at an advanced level in the field with a critical approach and develop positive attitude towards lifelong learning. |
X | ||||
| 5 | To be able to share the ideas and solution proposals to problems on issues in the field with professionals, non-professionals. |
|||||
| 6 | To be able to take responsibility both as a team member or individual in order to solve unexpected complex problems faced within the implementations in the field, planning and managing activities towards the development of subordinates in the framework of a project. |
|||||
| 7 | To be able to use informatics and communication technologies with at least a minimum level of European Computer Driving License Advanced Level software knowledge. |
X | ||||
| 8 | To be able to act in accordance with social, scientific, cultural and ethical values on the stages of gathering, implementation and release of the results of data related to the field. |
|||||
| 9 | To be able to possess sufficient consciousness about the issues of universality of social rights, social justice, quality, cultural values and also environmental protection, worker's health and security. |
|||||
| 10 | To be able to connect concrete events and transfer solutions, collect data, analyze and interpret results using scientific methods and having a way of abstract thinking. |
|||||
| 11 | To be able to collect data in the areas of Mathematics or Statistics and communicate with colleagues in a foreign language. |
|||||
| 12 | To be able to speak a second foreign language at a medium level of fluency efficiently. |
|||||
| 13 | To be able to relate the knowledge accumulated throughout the human history to their field of expertise. |
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*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
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