Course Details

Course Information

Semester	Course Unit Code	Course Unit Title	T+P+L	Credit	Number of ECTS Credits	Last Updated Date
1	MATH181	CALCULUS FOR LIFE SCIENCES 1	5+0+0	5	6	13.05.2025

Course Details

Language of Instruction	English
Level of Course Unit	Bachelor's Degree
Department / Program	MOLECULAR BIOLOGY AND GENETICS
Type of Program	Formal Education
Type of Course Unit	Compulsory
Course Delivery Method	Face To Face
Objectives of the Course	This course aims to teach the differential 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 to relate calculus to biology with the aid of examples drawn from many areas of biology, including genetics, biomechanics, medicine, pharmacology, physiology, ecology, epidemiology, and evolution, to name a few.
Course Content	This course is an introduction to single variable calculus for students studying life sciences and covers the fundamentals and applications of differentiation. In this context, taking limits of functions, differentiating, optimizing and graphing functions are being taught. By the end of the semester, the students will be able to analyze the behavior of a single variable function by means of limits and differentiation. The course covers the following topics: Functions and Sequences, Limits, Derivatives and their applications (linearization, optimization, curve sketching, L’Hospital’s rule).
Course Methods and Techniques
Prerequisites and co-requisities	None
Course Coordinator	Associate Prof.Dr. Yılmaz Mehmet Demirci yilmaz.demirci@agu.edu.tr
Name of Lecturers	Associate Prof.Dr. Yılmaz Mehmet Demirci yilmaz.demirci@agu.edu.tr
Assistants	None
Work Placement(s)	No

Recommended or Required Reading

Resources

J. Stewart, T. Day, Biocalculus: Calculus for Life Sciences

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
Yazılı Sınav	2	2	4
F2F Dersi	14	5	70
Ev Ödevi	14	1	14
Soru Çözümü	14	2	28
Okuma	14	2	28
Araştırma	14	2	28
Final Sınavı	1	2	2
Total Work Load			Number of ECTS Credits 6 174

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:

No	Learning Outcomes
1	Distinguish functions, sequences and series and relate them mathematically
2	Evaluate a given limit if it exists
3	State the advantages of continuous functions rather than discontinuous ones and apply related theorems in case of need
4	Interpret the geometric meaning of derivative at any point and use it in construction of formulas for some geometrical shapes, and construct the equation of tangent line
5	Calculate the derivative of any function
6	Find the maximum and minimum values of any function and sketch the graph of the function

Weekly Detailed Course Contents

Week	Topics	Study Materials	Materials
1	Four Ways to Represent a Function
2	A Catalog of Essential Functions, New Functions from Old Functions
3	Exponential Functions, Logarithms; Semilog and Log-Log Plots, Sequences and Difference Equations
4	Limits of Sequences, Limits of Functions at Infinity
5	Limits of Functions at Finite Numbers, Limits: Algebraic Methods
6	Continuity
7	Derivatives and Rates of Change, The Derivative as a Function
8	Basic Differentiation Formulas, The Product and Quotient Rules
9	The Chain Rule, Exponential Growth and Decay
10	Derivatives of the Logarithmic and Inverse Tangent Functions, Linear Approximations and Taylor Polynomials
11	Maximum and Minimum Values, How Derivatives Affect the Shape of a Graph
12	L’Hospital’s Rule: Comparing Rates of Growth, Optimization Problems
13	Recursions: Equilibria and Stability, Antiderivatives
14	Review of Materials and Problem Solving

Contribution of Learning Outcomes to Programme Outcomes

	P2	P4	P6
C1	2	3	1
C2	2	3	1
C3	2	3	1
C4	2	3	1
C5	2	3	1
C6	2	3	1

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

https://sis.agu.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=76095&lang=en

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