Psychology
Bachelor	Length of the Programme: 4	Number of Credits: 240	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF: Level 6

ECTS Course Information Package

School/Faculty/Institute

Faculty of Education

Course Code

MATH 133

Course Title in English

Calculus

Course Title in Turkish

Calculus

Language of Instruction

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

Co-requisites

None

Expected Prior Knowledge

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 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. İLKER ARSLAN

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 Readings

Thomas' Calculus, 13th Ed., G. Thomas, M. Weir, J. Hass, F. Giordano, Pearson/ Addison Wesley, 2015

Teaching Methods

Lectures/contact hours using “flipped classroom” as an active learning technique

Homework and Projects

Review 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