Course Details

CALCULUS

MATH150

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Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS Credits
1MATH150CALCULUS4+0+045

Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program ARCHITECTURE
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course Providing fundamental knowledge and skills to analyze the behavior of a single variable function in every aspect
Constructing theoretical and conceptual understanding of essential mathematical tools to study single variable calculus.
Developing the ability of using the notions and tools of basic mathematics to recognize and analyze a problem deduced from real life/nature and offering solutions to these problems by applying relevant computation and analysis techniques
Course Content This course is an introduction to single variable calculus for architecture students and covers the fundamentals of differentiation and integration. In this context, taking limits of functions, differentiating, optimizing, graphing and integrating functions are being taught. By the end of the semester, the students will be able to demonstrate an understanding of a single variable function in every aspect by using the scientific and creative skills gained during semester.
Course Methods and Techniques Face to face lecture
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Instructor Dr. Uğur Kayaş https://avesis.agu.edu.tr/ugur.kayas ugur.kayas@agu.edu.tr
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Calculus - Single Variable by James Steward (any edition)
Lecture notes are based on the book Thomas' Calculus, written by George B. Thomas, Giordano, and Maurice D. Weir.
https://aguedutr-my.sharepoint.com/:f:/g/personal/ugur_kayas_agu_edu_tr/EnWOIulsdONCgFIr6YdjS-IBUyZTf5bq5TDmRqCvJjkzbg?e=mmfZix
https://aguedutr-my.sharepoint.com/:w:/g/personal/ugur_kayas_agu_edu_tr/EZ-0KP4h3cBLmSzFBHl7MEQBM0mibTn5HrfAKV1mHQbnOg?e=WSwc8Q
https://aguedutr-my.sharepoint.com/:f:/g/personal/ugur_kayas_agu_edu_tr/Eikf-gj3N-ZFpToewvakwmsB8vMTS4uKYzT1XsjvGghBNg?e=nFanY7

Course Category
Mathematics and Basic Sciences %100
Engineering %0
Engineering Design %0
Social Sciences %0
Education %0
Science %0
Health %0
Field %0

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Yarıl yılSonu Sınavı/Dönem Projesinin Başarı Notuna Katkısı 2 % 60
Final examination 1 % 40
Total
3
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Kişisel Çalışma 14 4 56
Ders dışı çalışma 3 12 36
Yüz Yüze Ders 14 4 56
Der Dışı Final Sınavı 1 2 2
Ders Dışı Ara Sınav 2 2 4
Total Work Load   Number of ECTS Credits 5 154

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
76664 This course aims to teach the differential and integral part of single variable Calculus by - Providing fundamental knowledge and skills to analyze the behavior of a single variable function in every aspect -Constructing theoretical and conceptual understanding of essential mathematical tools to study single variable calculus. - Developing the ability of using the notions and tools of basic mathematics to recognize and analyze a problem deduced from real life/nature and offering solutions to these problems by applying relevant computation and analysis techniques.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 2.1 Rates of Change and Tangent Lines to Curves, 2.2 Limit of a Function and Limit Laws, 2.4 One-sided Limits - https://aguedutr-my.sharepoint.com/:f:/g/personal/ugur_kayas_agu_edu_tr/Eqn2-f-bhn5GkmsLNS6MLxQBm2jfdUWl1CWBZmMAjnAVgQ?e=GLJOmn
2 2.6 Continuity 2.5 Limit Involving Infinity: Asymptotes of Graphs - https://aguedutr-my.sharepoint.com/:f:/g/personal/ugur_kayas_agu_edu_tr/Ev1PvosWcOFMm_5tZ9lsgH8B-7OBSIPWk6vdBA4KyBLcsA?e=aAtNmg
3 3.1 Tangent Lines and the Derivative at a Point 3.2 The Derivative as a Function 3.3 Differentiation Rules . https://aguedutr-my.sharepoint.com/:f:/g/personal/ugur_kayas_agu_edu_tr/Ev-f2LDCC8VGhwQ_tcrH3e8BFUs182DT0bKzrmVnt8FubA?e=mIebEq
4 3.4 The derivative as a Rate of Change 3.5 Derivatives of Trigonometric Functions 3.6 The Chain Rule 3.7 Implicit Differentiation https://aguedutr-my.sharepoint.com/:f:/g/personal/ugur_kayas_agu_edu_tr/EqistXMOgt1HhWb-knsOHikBMb_xbLvxv-Jh8x4AWW1tew?e=AXdSTZ
5 3.8 Derivatives of Inverse Functions and Logarithms 3.9 Inverse Trigonometric Functions 3.10 Related Rates . https://aguedutr-my.sharepoint.com/:f:/g/personal/ugur_kayas_agu_edu_tr/EqistXMOgt1HhWb-knsOHikBMb_xbLvxv-Jh8x4AWW1tew?e=J7miEl
6 4.1 Extreme Values of Functions 4.3 Monotonic Functions and the First Derivative Test 4.4 Concavity and Curve Sketching . https://aguedutr-my.sharepoint.com/:f:/g/personal/ugur_kayas_agu_edu_tr/EpfJJaiUe6dNsWri-1Az9JUB0Qbm3miXwzsvN47SzjdzLw?e=4McuX0
7 4.2 The Mean Value Theorem 4.5 Indeterminate Forms and L’ Hopital’s Rule 4.6 Applied Optimization . https://aguedutr-my.sharepoint.com/:f:/g/personal/ugur_kayas_agu_edu_tr/EgoYj7-RzdhLqOGjcp8mwrIBm7Aq4eJSRI_NUPQXDGx3rQ?e=rP6csD


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12
All 5 5 5 3 5 5 5
C76664 4 5 3 2 5 4 4

Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant


https://sis.agu.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=70657&lang=en
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