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B031128 - ELEMENTS OF MATHEMATICS
Main information
Teaching Language
Course Content
Suggested readings
Learning Objectives
Prerequisites
Teaching Methods
Further information
Type of Assessment
Course program
Academic Year 2022-23
Coorte 2022 - 3-years First Cycle Degree (DM 270/04) in TECNOLOGIE E TRASFORMAZIONI AVANZATE PER IL SETTORE LEGNO ARREDO EDILIZIA
Course year
First year - Second Semester
Belonging Department
Agriculture, Food, Environment and Forestry (DAGRI)
Course Type
Single education field course
Scientific Area
MAT/05 - MATHEMATICAL ANALYSIS
Credits
3
Teaching Hours
35
Teaching Term
27/02/2023 ⇒ 09/06/2023
Attendance required
No
Type of Evaluation
Final Grade
Course Content
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Course program
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Lectureship
Teaching Language
Italiana
Course Content
Mathematical expressions.
Formalism of vectors.
Trigonometry.
Differential and integral basic calculus.
Analytic study of functions.
Formalism of vectors.
Trigonometry.
Differential and integral basic calculus.
Analytic study of functions.
Suggested readings (Search our library's catalogue)
Notes for the course in Mathematics freely available on the Moodle page of the course.
Learning Objectives
Arithmetics of real numbers.
Notions of synthetic geometry.
Notions of literal calculus.
Notions of synthetic geometry.
Notions of literal calculus.
Prerequisites
Learning of the mathematical formalism relevant to the characterizing courses of the cursus studiorum.
Teaching Methods
Arithmetics of real numbers.
Notions of synthetic geometry.
Notions of literal calculus
Notions of synthetic geometry.
Notions of literal calculus
Further information
Frontal lessons complemented with recorded videos available on the Moodle platform.
Type of Assessment
Mandatory written and oral exam.
Course program
Real numbers and algebraic laws: powers of ten; percent and proportions; means.
Algebraic expressions: verification of correctness; ste of variability; subordinate expressions; conditions for existence; domain; transformation of an expression.
Euclidean distance: Cartesian coordinates on a straight line, on a plane, on the space; Pythagoras theorem and calculus of distance.
Angles: not oriented and oriented; sine, cosine, tangent, cotangent, and their inverse of the measure of an angle; polar coordinates.
Straight lines on a plane: how to determine the cartesian equation.
Vectors, scalar product, sum of vectors, product of a scalar times a vector, canonical writing of a vector; orthogonal projection of a vector; cross product.
Equations and inequalities: techniques to solve them; determination of the sign of expressions.
Differential calculus: monotonicity and sign of first derivative; theorems on differentiable functions; critical points.
Integral calculus: definite and numerical techniques of computation of area.
Algebraic expressions: verification of correctness; ste of variability; subordinate expressions; conditions for existence; domain; transformation of an expression.
Euclidean distance: Cartesian coordinates on a straight line, on a plane, on the space; Pythagoras theorem and calculus of distance.
Angles: not oriented and oriented; sine, cosine, tangent, cotangent, and their inverse of the measure of an angle; polar coordinates.
Straight lines on a plane: how to determine the cartesian equation.
Vectors, scalar product, sum of vectors, product of a scalar times a vector, canonical writing of a vector; orthogonal projection of a vector; cross product.
Equations and inequalities: techniques to solve them; determination of the sign of expressions.
Differential calculus: monotonicity and sign of first derivative; theorems on differentiable functions; critical points.
Integral calculus: definite and numerical techniques of computation of area.