# Mathematics

1. GENERAL
 SCHOOL AGRICULTURAL AND FORESTRY SCIENCES DEPARTMENT AGRICULTURAL DEVELOPMENT STUDY LEVEL Undergraduate COURSE CODE B0002 SEMESTER 1st COURSE TITLE MATHEMATICS INDEPENDENT TEACHING ACTIVITIES TEACHING HOURS PER WEEK ECTS Lectures and exercises (3+2) 5 COURSE TYPE Compulsory PREREQUISITE COURSE(S): – LANGUAGE (TEACHING AND EXAMS) Greek THE COURSE IS OFFERED TO ERASMUS STUDENTS No COURSE WEBSITE (URL)

1. TEACHING OUTCOMES
 Teaching outcomes Upon the completion of the course the students; ·         Become acquainted with the techniques of differential and integral calculus, for functions of one or more variables as an additional knowledge to that acquired in the secondary ·          should become capable of confronting the mathematical knowledge required for the understanding of other scientific fields of the department General capabilities Analytical and Synthetical Thinking

1. COURSE CONTENT
 Reverse Circular Functions, Hyperbola and Reverse hyperbolic functions, implicit functions, implicit functions, parametric equations, polar coordinates πολικές συντεταγμένες. Differentiation of a composite function, of a reverse function, function of a parametric form, of implicit function of a logarithmic form (The concept of derivative is considered to be familiar). Differential, Taylor Series of a polynomial function, Newton Raphson method for equation solution (the basic theorems of differential calculus, relative extrema inflection point, non definite forms, asymptotes, function study are considered known). Inauthentic integrals, numerical integration (the concept of fixed and indefinite integrals, peak passages, technical integration, are known). Functions of two or more variables, coordinates systems, Place – Limit Continuity-Partial Derivative (definition derivation of composite functions, Jacobian Determinant Total differential derivative of implicit function). Optimization with equality constraints double integral, multiple integral Vector Analysis: vector, vectorial functions, slope deviation, slope deviation twindle Differential equations: General, differential equations with separable variables, homogenous linear, differential equations of first order, homogenous differential equations.

1. TEACHING AND LEARNING ASSESSMENT METHODS
 DELIVERING METHOD In classroom IT USE §  Power point §  e-class TEACHING ORGANIZATION Activity Semester workload Lectures 39 Exercises 26 Individual study 60 Course total (25-hour workload per credit unit) 125 STUDENT ASSESSMENT Written exams at the end of the semester both on theory and exercises Two tests are taken within the semester and the average of the grade of those tests is multiplied by 0,3 and is added to the grade of the final test. The precondition for the validity of this bonus is the grade of the final test to be equal or over three. 2. Assignments are delegated to the students that are graded with ranking 0-2. The grade of this assignment is added to the final grade of the semester. The precondition for the validity of this bonus is the grade of the final test to be equal or over three
1. PROPOSED LITERATURE
 §  Moschidis O.* Mathematics for Management Science and Economics (in Greek) §  Koutroumanidis Th., Zafeiriou E., Malesios Ch., Applied Mathematics For Agriculture (in Greek)