Course Details

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Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
2MATH182CALCULUS FOR LIFE SCIENCES II5+0+05613.05.2025

 
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 integral part of single variable Calculus and basic concepts in differential equations and linear algebra 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 along with differential equations and linear algebra.
- Developing the ability to relate calculus, differential equations and linear algebra 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 designed to teach basic concepts of integration, applications of integration, linear algebra, differential equations along with their applications to life sciences and to show students how they relate to life sciences.
The course covers the following topics: Integrals and their applications, Differential equations, Vector and Matrix Models.
Course Methods and Techniques
Prerequisites and co-requisities ( MATH181 )
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:
NoLearning Outcomes
1 Find the area under a given function.
2 Calculate the integral of a given function by using different techniques of integration.
3 State the relation between differentiation and integration.
4 Find the volume of the solid obtained by revolving a function around an axis
5 Decide whether the area under a function over an infinite interval is finite or infinite.
6 Model some biological problems and solve them by using differential equations and linear algebra.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 5.1 Areas, Distances, and Pathogenesis 5.2 The Definite Integral
2 5.3 The Fundamental Theorem of Calculus 5.4 The Substitution Rule
3 5.5 Integration by Parts Trigonometric Integrals
4 Trigonometric Substitutions 5.6 Partial Fractions
5 5.8 Improper Integrals (Type I and Type II)
6 6.1 Areas Between Curves 6.2 Average Values 6.3 Further Applications to Biology
7 6.4 Volumes (Disk Method, Washer Method, and Shell Method)
8 7.1 Modeling with Differential Equations 7.2 Phase Plots, Equilibria, and Stability 7.3 Direction Fields and Euler’s Method
9 7.4 Separable Equations 7.5 Systems of Differential Equations
10 8.1 Coordinate Systems 8.2 Vectors
11 8.3 The Dot Product 8.4 Matrix Algebra
12 8.5 Matrices and the Dynamics of Vectors 8.6 The Inverse and Determinant of a Matrix
13 8.7 Eigenvectors and Eigenvalues 8.8 Iterated Matrix Models
14 Review of Materials and Problem Solving

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10
C1 1 3 2
C2 1 3 2
C3 1 3 2
C4 1 3 2
C5 1 3 2
C6 1 3 2

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

  
  https://sis.agu.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=76113&lang=en
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