A basic subject taught in the first semester in
which the student studies the basic topics in mathematics as follows:
1- Groups, inequalities, methods of solving them,
relations, functions and their types (algebraic and non-algebraic), learning to
analyze functions in terms of scope and range, drawing functions, unilateral,
superlative, even and odd functions, inverse functions, the limit of functions,
the laws of limit and limit on one side, continuity of functions and methods of
finding them.
2- Derivation of functions, theories and laws of
derivation, implicit derivation, trigonometric functions, their limits,
continuity and derivation.
3- Differentiation applications (incremental and
decreasing functions - Rolle's theory and the middle value - the maximum and
minimum limits - concavity, convexity and inflection points - and drawing
curves
Intended learning outcomes
The student will be able to study any function
and know the curve of the function, its scope and range, the end of functions,
if any, the continuity of functions and differentiation, the laws of
differentiation, the differentiation of algebraic functions and trigonometric
functions, and identify the curves of the function from their differentiation
so that he can complete the differentiation and integration of functions in the
course of Sport 2 and then Sport 3 and the rest of the advanced subjects.
Teaching and learning methods
A theoretical lecture, a solution to supportive
exercises, scientific discussions.
Methods of assessments
First mid-term exam 20% Second mid-term exam 20%
End-of-semester exam 60%
the reference
Calculus - Part One - Thomas 2: Al Fateh Series in
Mathematics - Mathematical Principles (1) - Part One - Prepared by Ahmed Ali
Mustafa bin Mustafa
