Objectives and competences

To know how to perform numerical calculations.
To derivate and integrate functions. To know how to solve differential 1st order equations.
To know the mathematical and algebraic fundamentals which support the matrix algebra and the linear equations systems. To demonstrate the application of the topics taught in the field of science and microbiology.

Teaching Methodologies

Lectures focused on structured presentation of concepts. Problem-solving sessions to consolidate learning.
Active learning strategies to promote autonomy and critical thinking.

Syllabus

.Functions.
Functions: power module, polynomial, rational, exponential, logarithmic, trigonometric

.Differential calculus
Basic derivation rules
Derivative of the inverse function
Derivatives of functions studied in 1
Indeterminate forms and L'Hopital’s rule
Critical points and stationary points of a function
Theorem of the average of the differential calculation

.Integral calculus
Primitive of a function; Indefinite integral
Integral curves of a function; Immediate primitive
Definite integral

.Differential equations
Separable equations of 1st order

.Matrix Algebra
Matrix definition
Matrix addition and multiplication by a scalar; Matrix multiplication; Transposed matrix
Inverse matrix and Gaussian elimination method.

.Linear equation systems
Definitions
Solving of systems of linear equations based on the Gauss-Jordan method

.Introduction to software program Excel.