Diploma in Pharmacy / Бакалавр (Diploma) в Области Фармацевтического Дела

Course Details

Course Information Package

Course Unit TitleMATHEMATICS I
Course Unit CodePHA103
Course Unit Details
Number of ECTS credits allocated6
Learning Outcomes of the course unitBy the end of the course, the students should be able to:
  1. Explain the concept of a set, including familiarisation with the respective notation, identify the properties of sets and perform operations such as union, intersection and subsets of sets.
  2. Define the notion of a matrix and its properties, perform matrix operations, generate determinants, find the inverse of a matrix by employing its determinant and the transpose of the matrix of cofactors and utilise Cramer’s rule for solving square linear systems.
  3. Defend the notion of vectors, perform operations with vectors including dot and vector products, exploit their properties, explain the formulation of an equation of a straight line as well as elucidate conic sections such as circles, parabolae, ellipse and hyperbolae.
  4. Explain definite and indefinite integrals, use the Fundamental Theorem of Calculus, apply the taught integrating methods to integrals and tackle applications of integration.
  5. Explicate the meaning of ordinary differential equations, compute first order homogeneous and non-homogeneous linear equations, adopt the method of separation of variables to solve first order differential equations, execute second order differential equations using the method of undetermined coefficients.
  6. Define the concept of limits and continuity, apply these to determine the definition of derivative, employ general rules for differentiation to polynomial, trigonometric, exponential and logarithmic type functions, study different applications of the derivative.
  7. Use Euler’s method as a numerical approximation for the solution of ordinary differential equations with the inclusion of an initial value, describe and employ series and Fourier series, apply mathematical knowledge to the area of pharmacy and chemistry.
Mode of DeliveryFace-to-face
PrerequisitesNONECo-requisitesNONE
Recommended optional program componentsNONE
Course Contents• Elements of Set theory: set operations, Cartesian product, relations, configurations.
• Elements of Linear Algebra: Matrices and their properties, determinants and finding inverse matrix, applying Cramer’s rule to solve using matrices systems of linear equations.
• Elements of Analytical Geometry and Vector Calculus: vector concept, vector products and identities, straight lines, conic sections, plane.
• Elements of Differential and Integral Calculus: limits of sequences and functions, the concept of series, continuity, derivatives and differentials (product, quotient, chain rule), applications of the derivative (as a rate of change, slope, local extrema (minima and maxima), points of inflection, definite and indefinite integrals, (integration by substitution, integration by parts, integration using partial fractions), applications of integration (area, volume, chemistry problems).
• Elements of Ordinary Differential Equations: first order linear homogeneous and non-homogeneous differential equations, method of separation of variables, second order differential equations with constant coefficients.
• Numerical approximations: Euler’s Method, Series (Taylor), Fourier Series.
• Applications of the above material to the field of Pharmacy and Chemistry.
Recommended and/or required reading:
Textbooks
  • «Απλές Εφαρμογές των Μαθηματικών στις Επιστήμες της Ζωής και της Υγείας». Γ. Αραχωβίτης.
References
  • «Μαθηματική Ανάλυση. Θεωρία και Εφαρμογές». Π.Ι. Νικήτας, Πήγασος-Θεσσαλονίκη
  • «Introduction to Algebra & Pharmaceutical Mathematics: An Introductory Course for Students in Nursing, Pharmacy Technology, and Other Health Careers». J. B. Hart, R. R. Barrows, W. Schaller, Kendall Hunt Pub Co; 2nd edition
Planned learning activities and teaching methodsThe taught part of this course includes lectures that offer the required theoretical background as well as exercises for better understanding and comprehension of some concepts of mathematics. Classes take place in various ways, such as questioning, explaining, collaboration and demonstration. Several examples and exercises are solved in class to practice the theory and methodology taught. The evaluation process consists of two midterm tests and a final examination. The overall grade is determined by the procedures described in this course outline of the course, which is available to students on the first day of classes or through the website of the course. Students are also encouraged to come to the office hours of the lecturer, where they can ask questions about the teaching material and / or to discuss other academic queries. Students are also given numerous practical problems provided either during the tutorial sessions or through the website of the course. Extra assignments are given to students to tackle at home.
Assessment methods and criteria
Tests40%
Final Exam60%
Language of instructionGreek
Work placement(s)NO

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