This course provides students with basic concepts of real functions in a single variable, and concepts of ends and continuity. It also addresses the rules of differentiation. This course aims to develop the student's ability to determine the types of real, compulsory and non-compulsory functions, to chart them, to determine the scope, extent and reverse functions of them, to determine the existence of the end, as well as to know the continuity of the functions and to determine whether they are derivable. The course also aims to enhance students' skills in drawing curves using preferential concepts and demonstrations, through scheduled training and the diversity of evaluation methods. The rapporteur focuses on understanding real functions in a single and derivative variable and its applications that help him to understand the behaviour of multiple functions in his future study.
Intended learning outcomes
At the end of the course, the student must be able to:
Explains group concepts, periods and variations .
Recognizes functions, types and reverse function .
Shows how to find the range and range of real functions and represents them graphically .
Distinguishes marital, individual, monocultural, superior and monocultural functions. .
Resolves discrepancies using periods .
Paints and represents the student's real compulsive and non-algebraic functions
Explains the existence of the end .
Tests continuity of functions .
Demonstrates theories, laws and rules of terminations, communication and derivation.
It applies end and communication laws to resolve issues with more than one idea.
Resolves issues including derivative rules, mathematical and physical applications and problems.
Derivative applications are used to draw curves and some other applications
Teaching and learning methods
The course will be presented to the student through lectures,Style of discussion and dialog
Methods of assessments
class work = 40
final = 60
Course contents
Collection s
Periods and discrepancies
Bilateral relations
Real Functions
Reverse function
Finishes
Communication and continuity
Derivative
Rules of Derivation
Base Series and Parmetric
Derivation Proof Roll & Average
Value Periods of increase, decrease and critical values
