MAT1015 Mathematics for Biological SciencesBahçeşehir UniversityDegree Programs MOLECULAR BIOLOGY AND GENETICSGeneral Information For StudentsDiploma SupplementErasmus Policy StatementNational QualificationsBologna Commission
MOLECULAR BIOLOGY AND GENETICS
Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
MAT1015 Mathematics for Biological Sciences Fall 3 2 4 6

Basic information

Language of instruction: English
Type of course: Must Course
Course Level: Bachelor’s Degree (First Cycle)
Mode of Delivery: Hybrid
Course Coordinator : Dr. Öğr. Üyesi GÜLSEMAY YİĞİT
Recommended Optional Program Components: None
Course Objectives: The main goal of this course is to develop mathematical models in and analyze data from biological sciences

Learning Outcomes

The students who have succeeded in this course;
1. Model biological problems with basic functions: linear, polynomial, exponential, logarithmic and trigonometric.
2. Find the derivative of a given function, using the appropriate differentiation rule.
3. Set-up and solve a given optimization problem.
4. Evaluate definite integrals using the Fundamental Theorem of Calculus.
5. Find the antiderivative of a given function using appropriate techniques.
6. Apply methods from discrete and continuous dynamical systems to solve problems from biology.
7. Read and analyze graphs fitting real biological data.

Course Content

Modeling biological problems using basic functions. Functions, limit, continuity. Derivative, Critical values, Graph drawing, applications of derivative to biology, Indefinite integral, Fundamental theorem of Calculus and definite integral.

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Introduction, linear equations, linear models, and quadratics
2) Functions, polynomials, and rational functions
3) Exponentials and logarithmic functions
4) Trigonometric functions. Biological models
5) Limits and Continuity
6) Formal definition of derivatives and differentiation rules
7) Applications of the derivative and derivative of the exponential, logarithm, and trigonometric functions
8) Applications of Derivatives, curve drawing
9) Optimization, application to logistic and other nonlinear discrete dynamical models
10) Definite integrals and Fundamental Theorem of Calculus
11) Basic integration techniques
12) Integration techniques and applications
13) Introduction to differential equations and linear differential equations
14) Separable differential equations and applications

Sources

Course Notes / Textbooks: 1-Applied Mathematics for business, Economics, Life Sciences and Social Sciences by R. A. Barnett, M. R. Ziegler, K. E. Byleen.
2-Thomas' Calculus International Edition 12th Edition George Thomas, Maurice Weir, Joel Hass, Frank Giordano
References: 1-Applied Mathematics for business, Economics, Life Sciences and Social Sciences by R. A. Barnett, M. R. Ziegler, K. E. Byleen.
2-Thomas' Calculus International Edition 12th Edition George Thomas, Maurice Weir, Joel Hass, Frank Giordano

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Quizzes 1 % 10
Midterms 1 % 40
Final 1 % 50
Total % 100
PERCENTAGE OF SEMESTER WORK % 50
PERCENTAGE OF FINAL WORK % 50
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Application 14 2 28
Study Hours Out of Class 14 5 70
Quizzes 1 1 1
Midterms 1 2 2
Final 1 2 2
Total Workload 145

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) Utilize the wealth of information stored in computer databases to answer basic biological questions and solve problems such as diagnosis and treatment of diseases.
2) Acquire an ability to compile and analyze biological information, clearly present and discuss the conclusions, the inferred knowledge and the arguments behind them both in oral and written format.
3) Develop critical, creative and analytical thinking skills.
4) Develop effective communication skills and have competence in scientific speaking, reading and writing abilities in English and Turkish.
5) Gain knowledge of different techniques and methods used in genetics and acquire the relevant laboratory skills.
6) Detect biological problems, learn to make hypothesis and solve the hypothesis by using variety of experimental and observational methods.
7) Gain knowledge of methods for collecting quantitative and qualitative data and obtain the related skills.
8) Conduct research through paying attention to ethics, human values and rights. Pay special attention to confidentiality of information while working with human subjects.
9) Obtain basic concepts used in theory and practices of molecular biology and genetics and establish associations between them.
10) Search and use literature to improve himself/herself and follow recent developments in science and technology.
11) Be aware of the national and international problems in the field and search for solutions.