Basic Mathematics II (MATH108) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Basic Mathematics II MATH108 2. Semester 2 0 0 2 2
Pre-requisite Course(s)
MATH107
Course Language Turkish
Course Type Compulsory Departmental Courses
Course Level Bachelor’s Degree (First Cycle)
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture, Question and Answer.
Course Coordinator
Course Lecturer(s)
  • Assoc. Prof. Dr. İnci Erhan
Course Assistants
Course Objectives The objective of this course is to introduce the concepts of calculus, such as functions, function types and properties, basic operations on functions such as limit, derivative and integrals and their applications. Also, it is aimed to develop the problem solving and analytic thinking skills of the student and to increase their ability to apply problems to real life.
Course Learning Outcomes The students who succeeded in this course;
  • Understand basic concepts of functions
  • Understand concept of limit of a function and calculate limits of functions
  • Understand concept of a derivative and compute derivatives of various functions
  • Understand concept of an integral and compute integrals of various functions
  • Perform various applications of derivative and integral
Course Content Functions, trigonometric functions, exponential and logarithmic functions, limits and continuity, derivative, applications of derivative, definite and indefinite integrals, integration techniques, area and volume computation.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Function, operations on functions, composite function Textbook 2- Sec. 7.1-7.6
2 One-to one, increasing and decreasing functions, inverse functions Textbook 2- Sec. 7.7-7.11
3 Trigonometric and inverse trigonometric functions Textbook 2- Chapter 8
4 Exponential and logarithmic functions Textbook 2- Chapter 10
5 Polynomials and rational functions Textbook 2- Chapter 5
6 Limits of functions, indeterminate forms, limits at infinity and infinite limits, continuity Textbook 1- Sec. 3.1,3.2
7 1st Midterm Exam
8 Derivative, tangent line, differentiation rules Textbook 1- Sec.4.1-4.5
9 Applications of derivatives, optimization problems Textbook 1- Sec. 5.1-5.4
10 Indefinite integrals, methods of integration, method of substitution Textbook 1- Sec. 6.1-6.3
11 Integration by parts, integrals of rational functions Textbook 1- Sec.6.4
12 Definite integral Textbook 1- Sec.6.5
13 Area computation Textbook 1- Sec.6.6
14 Volume computaton Textbook 1- Sec.6.7
15 Review
16 Final Exam

Sources

Course Book 1. Matematik II Atılım Üniversitesi Matematik Bölümü Uzaktan Eğitim Ders Notu
3. Matematik I Atılım Üniversitesi Matematik Bölümü Uzaktan Eğitim Ders Notu
Other Sources 4. Kalkülüs Kapsam ve Kavram, J. Stewart, TÜBA Yayınları, İkinci Baskı, 2007

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments - -
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 60
Final Exam/Final Jury 1 40
Toplam 3 100
Percentage of Semester Work
Percentage of Final Work 100
Total 100

Course Category

Core Courses X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Critical Thinking: Questioning and expressing abstract thoughts, evaluating opposing views, and gaining the ability to analyze the results achieved with similar criteria.
2 Communication: Reading, writing, expressing ideas in accordance with the purpose; gaining the ability to use different representation media to convey design thinking.
3 Research: Comparatively evaluating the information obtained regarding the design process and gaining the ability to document and practice it.
4 Design: In the process of creative thinking and reproduction of design knowledge; Gaining the ability to achieve new and original results in the context of universal design principles such as sustainability and accessibility.
5 World Architecture: Understanding world architecture in the context of historical, geographical and global relations.
6 Vernacular Architecture / Cultural Diversity: Understanding the architectural creations and examples of geography in the context of historical and cultural relations. Understanding the differences in value judgments, behavioral patterns, and social and spatial patterns that define different cultures.
7 Cultural Heritage and Conservation: Understanding cultural heritage, conservation awareness, environmental awarenes and ethical responsibility, conservation theories and methods.
8 Sustainability: Gaining the ability to design sustainably by using information about the natural and built environment, using various tools to minimize undesirable environmental impacts on future generations.
9 Social Responsibility: Understanding the architect's responsibility to protect the public interest, to be respectful of historical/cultural and natural resources, and to improve the quality of life.
10 Nature and Human: Understanding all aspects of the interaction between natural systems and the design of the built environment and humans.
11 Geographical Conditions: Understanding the relationships between site selection, settlement and building design taking into account cultural, economic and social characteristics as well as natural features such as soil conditions, topography, vegetation, natural disaster risk, etc.
12 Safety: Understanding the basic principles of security and emergency systems in natural disasters, fire, etc. at the building and environmental scale.
13 Structural Systems: Understands the principles of behaviour, development and implementation of static and dynamic structural systems sustained by vertical and lateral forces.
14 Building Physics and Environmental Systems: Understanding the basic principles of building physics and energy use in design of physical environmental systems such as lighting, acoustics, air conditioning, etc. and the importance of using appropriate performance assessment tools.
15 Building Facade Systems: Understanding the basic principles, implementation methods and importance of building facade materials and systems design.
16 Building Service Systems: Understanding the basic principles of design of service systems such as plumbing, electrical, circulation, communication, security and fire protection.
17 Building Materials and implementations : Understanding the principles and standards related to the production, utilization and implementations, environmental impacts and reusability of building materials in the context of technological developments.
18 Integration of Building Systems: Evaluating structural, environmental, security, facades, building service systems in design also selecting and integrating them.
19 Programme Preparation and Evaluation: Preparation of the architectural project programme in accordance with the requirements of the employer and user, appropriate examples, spatial and equipment requirements, financial limitations, site conditions, relevant laws, regulations and design criteria by considering the public interest.
20 Comprehensive Project Development: Gaining the ability to develop and integrate an architectural project at different scales, by considering environmental and building systems and building technologies.
21 Consideration of Building Cost: Understanding the basic factors related to the cost of building construction and utilisation.
22 Architect-Employer Relationship: Determining the needs of the employer, the owner and the user and understanding the responsibility to resolve them in a way that not conflict with the public interest.
23 Teamwork and Co-operation: Gaining the ability to work in co-operation with project teams and multidisciplinary teams in order to successfully complete design and implementation projects.
24 Project Management: Understanding architectural project procurement methods, selection of consultants, formation of project teams, project delivery methods, service contracts, etc.
25 Implementation Management: Understanding the basic principles of architectural implementation process such as financial management, business planning, quality management, risk management, discussion, compromise, etc.

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 14 1 14
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 1 2
Prepration of Final Exams/Final Jury 1 2 2
Total Workload 18