FACULTY OF COMPUTER AND INFORMATION TECHNOLOGIES / INFORMATION SECURITY TECHNOLOGIES / BGT1001 - MATHEMATICS

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1Sets, Numbers, Exponents and Roots, Quadratic Equations and Inequalities[1]p. 10-28
2Analytical examination of the line, Analytical examination of the circle, Functions[1]p. 29-48
3Types of functions, Some practical drawings, Trigonometric functions[1]p 48-78
4Exponential and Logarithmic functions, Hyperbolic functions and their inverses, Limit[1]p. 78-95
5Some trigonometric limits, Right and left sided limits, Uncertain cases[1]p 95-106
6Continuity, Types of discontinuity[1]p. 109-116
7Derivative concept, derivative definition and derivative calculation. Derivative definition, rules of derivation[1]p. 122-131
8Derivative of Inverse Function, Trigonometric and inverse trigonometric functions, Exponential and logarithmic functions[1]p. 132-144
9Derivative of hyperbolic functions, Derivative of inverse hyperbolic functions, Parametric differentiation, Derivative of implicit functions[1]p. 146-151
10Higher order derivatives, Geometric meaning of derivative, Physical applications of derivative[1]p. 152-168
11Maximum-minimum problems, Asymptotes, Convex functions, Indeterminate shapes, Differentials[1]p. 171- 202
12Indefinite integrals, Rules of integration, Change of variables method[1]p. 220-234
13Partial Integration method, Simple fraction separation method in integrals[1]p. 236-244, 247-252
14Trigonometric integrals, Integral of irrational functionsIntegral of irrational functions