School/Faculty/Institute Faculty of Education
Course Code MATH 133
Course Title in English Calculus
Course Title in Turkish Calculus
Language of Instruction EN
Type of Course Flipped Classroom
Level of Course Introductory
Semester Fall
Contact Hours per Week
Lecture: 4 Recitation: Lab: Other:
Estimated Student Workload 56 hours per semester
Number of Credits 7 ECTS
Grading Mode Standard Letter Grade
Pre-requisites None
Expected Prior Knowledge None
Co-requisites None
Registration Restrictions Only Undergraduate Students
Overall Educational Objective To acquire a basic knowledge and understanding of important concepts of differentiation and integration of a single variable.
Course Description This course provides a comprehensive introduction to some fundamental aspects of function of a single variable, trigonometric functions, limit, continuity of a function, differentiation of a single variable function, extremum of a function, mean value theorem, L’Hospital’s rule, antiderivative and the indefinite integral, definite integrals, fundamental theorem of calculus, applications of the definite integral, the exponential and logarithmic function, the inverse trigonometric functions, hyperbolic functions and their inverses, integration techniques.
Course Description in Turkish Bu derste; diferansiyel ve integral hesabın temel kavramları şu konu başlıklar altında kapsamlı bir şekilde incelenmektedir: Tek değişkenli fonksiyonlar, trigonometrik fonksiyonlar, limit, süreklilik, tek değişkenli fonksiyonların türevi, bir fonksiyonun ekstremum değerleri, ortalama değer teoremi, L’Hospital kuralı, antitürev ve belirsiz integral, belirli integral, diferansiyel ve integral hesabın esas teoremi, belirli integralin uygulamaları, üstel fonksiyon, logaritma, ters trigonometric fonksiyonlar, hiperbolik fonksiyonlar ve ters hiperbolik fonksiyonlar, integral teknikleri.

Course Learning Outcomes and Competences

Upon successful completion of the course, the learner is expected to be able to:
1) calculate limit at a point and limit at infinity of single variable functions
2) solve applied optimization extrema problems and sketch graphs of functions
3) evaluate definite and indefinite integrals using integration techniques
4) apply definite integrals for calculating arc-lengths, volumes, area of surface of revolution, center of mass and moments of inertia
5) calculate, differentiate and integrate exponential functions, logarithmic functions, trigonometric and inverse trigonometric functions and hyperbolic and inverse hyperbolic functions
Program Learning Outcomes/Course Learning Outcomes 1 2 3 4 5
1) Thorough knowledge of the major concepts, theoretical perspectives, empirical findings, and historical trends in psychology.
2) Understanding of and ability to apply essential research methods in psychology, including research design, data analysis, and data interpretation.
3) Competence to use critical and creative thinking, skeptical inquiry and a scientific approach to solving problems related to behavior and mental processes.
4) Understanding and ability to apply psychological principles, skills and values in personal, social, and organizational contexts.
5) Ability to weigh evidence, to tolerate ambiguity, and to reflect other values that underpin psychology as a discipline.
6) Internalization and dissemination of professional ethical standards.
7) Demonstration of competence in information technologies, and the ability to use computer and other technologies for purposes related to the pursuit of knowledge in psychology and the broader social sciences.
8) Skills to communicate the knowledge of psychological science effectively, in a variety of formats, in both Turkish and in English (in English, at least CEFR B2 level).
9) Recognition, understanding, and respect for the complexity of sociocultural and international diversity.
10) Recognition for the need for, and the skills to pursue, lifelong learning, inquiry, and self-improvement.
11) Ability to formulate critical hypotheses based on psychological theory and literature, and design studies to test those hypotheses.
12) Ability to acquire knowledge independently, and to plan one’s own learning.
13) Demonstration of advanced competence in the clarity and composition of written work and presentations.

Relation to Program Outcomes and Competences

N None S Supportive H Highly Related
     
Program Outcomes and Competences Level Assessed by
1) Thorough knowledge of the major concepts, theoretical perspectives, empirical findings, and historical trends in psychology. N
2) Understanding of and ability to apply essential research methods in psychology, including research design, data analysis, and data interpretation. N
3) Competence to use critical and creative thinking, skeptical inquiry and a scientific approach to solving problems related to behavior and mental processes. H Exam,HW,Participation
4) Understanding and ability to apply psychological principles, skills and values in personal, social, and organizational contexts. N
5) Ability to weigh evidence, to tolerate ambiguity, and to reflect other values that underpin psychology as a discipline. N
6) Internalization and dissemination of professional ethical standards. N
7) Demonstration of competence in information technologies, and the ability to use computer and other technologies for purposes related to the pursuit of knowledge in psychology and the broader social sciences. N
8) Skills to communicate the knowledge of psychological science effectively, in a variety of formats, in both Turkish and in English (in English, at least CEFR B2 level). N
9) Recognition, understanding, and respect for the complexity of sociocultural and international diversity. S Participation
10) Recognition for the need for, and the skills to pursue, lifelong learning, inquiry, and self-improvement. S HW,Participation
11) Ability to formulate critical hypotheses based on psychological theory and literature, and design studies to test those hypotheses. N
12) Ability to acquire knowledge independently, and to plan one’s own learning. S Exam,HW
13) Demonstration of advanced competence in the clarity and composition of written work and presentations. H Exam,HW
Prepared by and Date CANFUAD DELALE ,
Course Coordinator BENGİ BİRGİLİ
Semester Fall
Name of Instructor Asst. Prof. Dr. NAMIK KILIÇ

Course Contents

Week Subject
1) Function of a single variable, trigonometric functions
2) Limit and continuity
3) The derivative of a function
4) Applications of the derivative
5) Curve sketching and L’Hospital’s rule
6) Antiderivative, the indefinite and definite integral
7) The fundamental theorem of calculus
8) Applications of definite integrals
9) Applications of definite integrals
10) Inverse of a function. Transcendental functions: Logarithmic and exponential functions
11) Transcendental functions: Inverse trigonometric functions
12) Transcendental functions: Hyperbolic and inverse hyperbolic functions
13) Integration techniques: Integration by parts, integration by partial fractions
14) Integration techniques: Trigonometric integrals, trigonometric substitutions
15) Final Examination Period
16) Final Examination Period
Required/Recommended ReadingsThomas' Calculus, 13th Ed., G. Thomas, M. Weir, J. Hass, F. Giordano, Pearson/ Addison Wesley, 2015
Teaching MethodsLectures/contact hours using “flipped classroom” as an active learning technique
Homework and ProjectsReview questions as homework
Laboratory Work
Computer Use
Other Activities
Assessment Methods
Assessment Tools Count Weight
Quiz(zes) 2 % 10
Homework Assignments 1 % 20
Midterm(s) 1 % 40
Final Examination 1 % 30
TOTAL % 100
Course Administration arslanilk@mef.edu.tr
(0212) 3953653
Office hours: Cinar : Monday 13:00- 15:00. Yildirim: Tuesdays 15:00-17:00

ECTS Student Workload Estimation

Activity No/Weeks Calculation
No/Weeks per Semester
Course Hours 28 112
Total Workload 112
Total Workload/25 4.5
ECTS 7