MATH 133 CalculusMEF UniversityDegree Programs Elementary Mathematics EducationGeneral Information For StudentsDiploma SupplementErasmus Policy Statement
Elementary Mathematics Education
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 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
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) Apply effective and student-centered specific teaching methods and strategies in order to improve students’ mathematical thinking and problem solving skills.
2) Design lesson plans based on how students learn mathematics and students’ difficulties in learning mathematics.
3) Demonstrate knowledge in various areas of mathematics (such as analysis, algebra, linear algebra, geometry, topology, mathematical modeling, statistics and probability, differential equations) and nature of science and mathematics.
4) Display knowledge and skills in developing programs, teaching technologies and materials in order to teach mathematics in effective and meaningful ways based on student needs.
5) Evaluate and assess students’ individual developmental paths, difficulties in understanding mathematics in multiple ways and use assessment results in improving teaching and learning.
6) Have an awareness of students’ social, cultural, economic and cognitive differences and plan the lessons and activities based on this awareness.
7) Collaborate and respectively communicate with colleagues and student parents such that students learn mathematics in best ways and at the same time feel happy and safe. Work effectively within teams of their own discipline and multi-disciplinary as well as take individual responsibility when they work alone.
8) Have awareness of need for life-long learning. Access information and following developments in education, science and technology. Display skills of solving problems related to their field, renew and improve themselves and critically analyze and question their own work. Use information technologies in effective ways.
9) Use scientific investigation effectively to solve problems in mathematics teaching and learning based on scientific methods. Critically investigate, analyze and make a synthesis of data, and develop solutions to problems based on data and scientific sources.
10) Exhibit skills of communicating effectively in oral and written Turkish and command of English at least at B2 general level of European Language Portfolio.
11) Have awareness of and sensitivity to different cultures, values and students’ democratic rights.
12) Display ethical and professional responsibilities. Have awareness of national and universal sensitivities that are expressed in National Education Fundamentals Laws.
13) Demonstrate consciousness and sensitivity towards preserving nature and environment in the process of developing lesson activities.
14) Display knowledge in national culture and history as well as international cultures and recognize their richness. Have awareness of and participate to developments in society, culture, arts and technology.

Relation to Program Outcomes and Competences

N None S Supportive H Highly Related
     
Program Outcomes and Competences Level Assessed by
1) Apply effective and student-centered specific teaching methods and strategies in order to improve students’ mathematical thinking and problem solving skills. S Exam
2) Design lesson plans based on how students learn mathematics and students’ difficulties in learning mathematics. N
3) Demonstrate knowledge in various areas of mathematics (such as analysis, algebra, linear algebra, geometry, topology, mathematical modeling, statistics and probability, differential equations) and nature of science and mathematics. H Exam
4) Display knowledge and skills in developing programs, teaching technologies and materials in order to teach mathematics in effective and meaningful ways based on student needs. S Exam,Participation
5) Evaluate and assess students’ individual developmental paths, difficulties in understanding mathematics in multiple ways and use assessment results in improving teaching and learning. N
6) Have an awareness of students’ social, cultural, economic and cognitive differences and plan the lessons and activities based on this awareness. S Participation
7) Collaborate and respectively communicate with colleagues and student parents such that students learn mathematics in best ways and at the same time feel happy and safe. Work effectively within teams of their own discipline and multi-disciplinary as well as take individual responsibility when they work alone. H Exam,Participation
8) Have awareness of need for life-long learning. Access information and following developments in education, science and technology. Display skills of solving problems related to their field, renew and improve themselves and critically analyze and question their own work. Use information technologies in effective ways. S Participation
9) Use scientific investigation effectively to solve problems in mathematics teaching and learning based on scientific methods. Critically investigate, analyze and make a synthesis of data, and develop solutions to problems based on data and scientific sources. S Exam
10) Exhibit skills of communicating effectively in oral and written Turkish and command of English at least at B2 general level of European Language Portfolio. S Exam,Participation
11) Have awareness of and sensitivity to different cultures, values and students’ democratic rights. N
12) Display ethical and professional responsibilities. Have awareness of national and universal sensitivities that are expressed in National Education Fundamentals Laws. N
13) Demonstrate consciousness and sensitivity towards preserving nature and environment in the process of developing lesson activities. N
14) Display knowledge in national culture and history as well as international cultures and recognize their richness. Have awareness of and participate to developments in society, culture, arts and technology. N
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