"The wise man will learn more from a stupid question than a fool with a wise answer" Bruce Lee
"Things should be designed as simple as possible, but not simpler" Albert Einstein
"The body is the most complicated mechanism that exists, it's just a miracle" OSHO
"I fear not the man, who has practised 10 000 kicks once, but I fear the man, who has practised one kick 10 000 times" Bruce Lee
"If you cannot explain something straight, probably You do not understand it right" Albert Einstein
"You can talk with anyone, but silent only with a few" Unknown
"Expert - a man who made all possible mistakes in a very narrow specialty" Niels Bohr
"If You spend too munch time thinking about a thing, You'll never get it done" Bruce Lee
"Insanity - repeating the same activity over and over again, expecting other results" Albert Einstein
"It's sad times when easier to break down an atom than to beat superstition" Albert Einstein
"An ounce of practice is worth a ton of theory" Unknown
"Everybody know, that something cannot be done, until there is one who does not know it cannot be done, and he will do it" Albert Einstein
"How often have I said to you that when you have eliminated the impossible, whatever remains, however improbable, must be the truth" Sherlock Holmes
"Engineering is a tool. It's not the purpose of use" Unknown
"You neglect it, you will lose it" Confucius
"Use no output as one of the outputs. Use no limitations as the only limit" Bruce Lee
"You exist, so you know that you exist, and you know it because you doubt" Cartesius
"Genius means the infinite ability to overcome difficulties" Sherlock Holmes
"The extraordinary can be achieved, only by breaking the scheme" Unknown
"The hopes of scholars are more certain than the wealth of ignorance" Demokryt
"It's sad that fools are so confident and reasonable persons are full of doubts" Bertrand Russel
"The extraordinary is this, what exceed beyond the standards" Unknown
"The object of art is to give life to shape" William Shakespeare
"Strong minds talk about ideas, average about events, and weak about people" Sokrates
"Intelligence - it's the ability to adapt changes" Stephen Hawking
"Artistic engineering is a fascinating way, to measurable life success and non - scary future" Unknown
"Define You two things:
1. Your patient, when have got nothing,
2. Your attitude, when have got everything"
Carlo Ancelotti
"Stupider than dunce is foolish schoolar" Unknown
"Only fool needs order, genius controls the chaos" Albert Einstein
"Draw from others, but do not copy them. Be yourself" Michel Quoist
"Be like water - it will adapt to any vessel, but can destruct a rock" Bruce Lee
"The weak can never forgive, forgiveness is the attribute of strong" Gandhi
"We are designers of our destiny" Albert Einstein
"Do not be afraid of failure. It's not a failure, but an unambitious goal is a mistake. In a great attempt it is honorable even to fall" Bruce Lee
"The difference between suspicion and knowledge is the difference between faith and science" Unknown
"Over everything, do not set restrictive rules" Bruce Lee
"Any stupid person can know, the point is to understand it" Albert Einstein
"Every victory starts with a good strategy" Unknown
"If messy desk is a sign of messy mind, a sign of what is an empty desk"? Albert Einstein
"I fear the day that technology will surpass our human interaction. The world will have a generation of idiots" Albert Einstein
"A fool considers himself a sage, the sage considers himself a fool" Unknown

Mathematical Analysis I

 

COURSE CONTAIN:

 

1. Functions types

  • linear
  • quadratic
  • polynomial
  • rational
  • multivalent
  • exponential
  • trigonometric
  • cyclometric
  • inverse
  • functions operations
  • geometric interpretation of any function graph

2. Numerical sequences and functions limits

  • de l'Hospital's rule

3. I-st order derivative of a function

  • in point
  • in elementary functions
  • higher order derivatives
  • tangent to the graph of the function
  • geometric and physical interpretation of derivative

4. Extremum

  • local of a function
  • global of a function
  • the smallest and largest value of a function

5. I-st order integral of a function

  • indefinite
  • definite
  • improper
  • integration by substitution
  • integration by parts
  • integration of rational functions
  • integration of trigonometric functions
  • integrals of polynomial functions
  • decomposition into simple fractions
  • calculation of any area limited by any curves
 


Analysis of the results, final conclusions and examples of applications in structures created by nature and engineer's human sense.

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