Molecular Biology and Genetics (English) Preview
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code:

MATH109

Course Name:

Calculus 1

Semester:

Fall

Course Credits:

ECTS

Language of instruction:

English

Course Condition:

Does the Course Require Work Experience?:

Type of course:

Compulsory Courses

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator:

Dr. Öğr. Üy. FUNDA ÖZDEMİR

Course Lecturer(s):

Assist. Prof. Dr. FUNDA ÖZDEMIR

Course Assistants:

Course Objective and Content

Course Objectives:	The course aims to teach the concepts of limit, continuity, derivative and integral in functions of one variable and to gain the ability to use these concepts in solving engineering problems.
Course Content:	The content of the course consists of functions, graphs, limit, continuity, derivative definition, differentiation rules, chain rule, derivatives of implicit functions, applications of derivatives, definite integral, indefinite integral, applications of integral, transcendental functions.

Learning Outcomes

The students who have succeeded in this course;
1) Understands the concept of functions, the main types of functions and their properties.
2) Understands the concepts of limit and continuity analytically and graphically, and makes limit calculations.
3) Comprehends the concept of derivative together with its geometric meaning, calculates the derivative by using the main differentiation rules and applies the derivative on various problems.
4) Learns the concept of integral together with its geometric meaning, calculates definite and indefinite integrals by using main integral calculation techniques and uses integral in solving various problems.

Course Flow Plan

Week	Subject	Related Preparation
1)	Functions and their graphs , combining functions, shifting and scaling graphs
2)	Trigonometric functions, exponential functions, inverse functions and logarithms
3)	Rates of change and tangent line to curves, limit of a function and limit laws, one-sided limits, continuity
4)	Limits involving infinity, asymptotes of graphs
5)	Tangent lines and derivative at a point, the derivative as a function, differentiation rules, the derivative as a rate of change, derivatives of trigonometric functions
6)	Chain rule, implicit differentiation
7)	Derivatives of inverse functions, derivatives of logaritms and exponential functions, erivatives of inverse trigonometric functions
8)	Midterm Exam
9)	Extreme values of functions, mean value theorem, monotonic functions and the first derivative test, concavity and curve sketching
10)	Concavity and curve sketching, indeterminate forms and L'hopital's rule, applied optimization, antiderivatives
11)	Area and estimating with finite sums, sigma notation and limits of finite sums, definite integral, fundamental theorem of calculus
12)	Indefinite integrals and substitution method, change of variable, area between curves, integrals of natural logarithm and exponential functions
13)	Volumes using cross-sections, volumes using cylindrical shells
14)	Using basic integration formulas, integration by parts, trigonometric integrals, trigonometric substitutions, integration of rational functions by partial fractions

Sources

Course Notes / Textbooks:	Thomas, G.B. et al., Thomas’ Calculus, Pearson
References:	Lecture Notes

Course - Program Learning Outcome Relationship

Course Learning Outcomes	1	2	3	4
Program Outcomes
1) Has a theoretical and practical background in biology, chemistry, physics and mathematics, which constitute the basic knowledge in the field of molecular biology and genetics.
2) Can explain biological phenomena and events at molecular level and relate them to other basic sciences and engineering applications.
3) Has the basic laboratory knowledge and skills required by the field.
4) Works in accordance with scientific principles and ethical rules.
5) Uses procedural and mathematical software programs required for the analysis and basic evaluation of biological data at least at the European Computer License Basic Level.
6) Has the knowledge, culture and skills to follow the literature and current methods related to his field.
7) Will be able to identify the main problem in line with the needs in health, agriculture, animal husbandry, environment, industry and similar issues and offer the necessary solutions by using up-to-date technology.
8) Has the knowledge and ability to evaluate biological phenomena and events at the level of systems from an evolutionary point of view.
9) Has the ability to be involved in individual and group work, to prepare and carry out projects on specific topics, and to make written and oral presentations.
10) Uses at least one foreign language in reading, writing and speaking at B1 General Level in terms of European Language Portfolio criteria.
11) Has the ability to identify social and global problems using his / her field knowledge and to be a part of the solution in interdisciplinary cooperation.
12) Respects social, cultural and individual differences, universal values and human rights in his / her scientific and professional activities.

Course - Learning Outcome Relationship

No Effect	1 Lowest	2 Average	3 Highest

	Program Outcomes	Level of Contribution
1)	Has a theoretical and practical background in biology, chemistry, physics and mathematics, which constitute the basic knowledge in the field of molecular biology and genetics.	3
2)	Can explain biological phenomena and events at molecular level and relate them to other basic sciences and engineering applications.
3)	Has the basic laboratory knowledge and skills required by the field.
4)	Works in accordance with scientific principles and ethical rules.
5)	Uses procedural and mathematical software programs required for the analysis and basic evaluation of biological data at least at the European Computer License Basic Level.
6)	Has the knowledge, culture and skills to follow the literature and current methods related to his field.
7)	Will be able to identify the main problem in line with the needs in health, agriculture, animal husbandry, environment, industry and similar issues and offer the necessary solutions by using up-to-date technology.
8)	Has the knowledge and ability to evaluate biological phenomena and events at the level of systems from an evolutionary point of view.
9)	Has the ability to be involved in individual and group work, to prepare and carry out projects on specific topics, and to make written and oral presentations.
10)	Uses at least one foreign language in reading, writing and speaking at B1 General Level in terms of European Language Portfolio criteria.
11)	Has the ability to identify social and global problems using his / her field knowledge and to be a part of the solution in interdisciplinary cooperation.
12)	Respects social, cultural and individual differences, universal values and human rights in his / her scientific and professional activities.

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Midterms	1	% 40
Final	1	% 60
total		% 100
PERCENTAGE OF SEMESTER WORK		% 40
PERCENTAGE OF FINAL WORK		% 60
total		% 100

Workload and ECTS Credit Calculation

Activities	Number of Activities	Preparation for the Activity	Spent for the Activity Itself	Completing the Activity Requirements	Workload
Course Hours	13	0	3		39
Application	13	0	2		26
Study Hours Out of Class	13	0	3		39
Midterms	1	13	2		15
Final	1	23	2		25
Total Workload					144