Introduction
    Overview  for Pharmacy students
    Percentage, mixture of solutions

Overview of functions

    Elementary functions
    Straight lines
    Power functions
    Exponential and logarithmic functions
    Trigonometric functions

    General concepts
    General definitions
    The inverse function

Transformation of functions
    Elementary transformations
    Logarithmic transformations and plots
    Nonlinear transformation of some forms
    More nonlinear transformations

Derivative
    Definition and interpretations 
    Draw the graph of the derivative
    Calculating the derivative

Limit and continuity
   The intuitive definition of limit
   Continuous functions
   Limit arithmetics
   Inequalities, the study of sin(x)/x 

More about limit and derivative 
   Continuity and differentiability 
   The precise definition of "e"
   Proving the rules for derivative

Approximation of functions
   Approximation by secant and tangent lines
   Taylor polinomials
   Approximating zero places of functions  (Newton iterations) 

Elements of investigation of functions
   Finding the properties of derivatives  (f'(x), f''(x)) from f(x)
   Finding the properties of  f(x) from (f'(x), f''(x))   

Inverting the differentiation: the concept and applications of integral
    The indefinite integral 
    The definite integral

Differential equations in life sciences

            Exponential changes
            Models in population dynamics

    Simple models in Chemistry and Pharmacy
            Simple chemical reactions
            Drug elimination and dosing

Functions of several variables  
    Definition, graphs, contour lines
    Variation at a given direction, parial derivatives, maxima, minima

Curve fitting     
    Graphical examples, experiments