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MECHATRONICS ENGINEERING (ENGLISH) PROGRAMME
COURSE DESCRIPTION
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Name of the Course Unit
| Code
| Year
| Semester
| In-Class Hours (T+P)
| Credit
| ECTS Credit
|
CALCULUS I |
MAT101 |
1 |
2 |
4+0 |
4.0 |
7.0 |
Objectives and Contents |
Objectives of the Course Unit |
On prosperous end of this course, students will have progressed their comprehension of following issues:
Recognize attributes of functions and also their inverses;
Comprehend rational, polynomials, transcendental (trigonometric, logarithmic, exponential) and inverse-trigonometric functions;
Distinguish range, domain and how to draw graphs, apply function, its first derivative and also second derivative;
Apply the definition of limits and continuity to solve the problem and also apply the procedures of differentiation which are consist of implicit and logarithmic differentiation;
Apply the differentiation procedures to solve related rates and extreme value problems and obtain the linear approximations of functions and to approximate the values of functions;
Utilize the definition of indefinite integral to solve basic differential equations and use the definition of definite integral to evaluate basic integrals and also use the procedures for integrating rational functions;
Apply accurately improper integrals;
Use the tests for specifying convergence or divergence of series;
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Contents of the Course Unit |
the differentiation procedures to solve related rates and extreme value problems and obtain the linear approximations of functions and to approximate the values of functions;
the definition of indefinite integral to solve basic differential equations and use the definition of definite integral to evaluate basic integrals and also use the procedures for integrating rational functions; |
Contribution of the Course Intending to Provide the Professional Education |
Calculus I is design to introduce the basic mathematical concepts such as functions, equations, differentiation and integration. Nowadays, calculus as a mathematical study of change, prepares students with needed foundation, comprehension and skills which are required to be prosperous in university disciplines and courses such as chemistry, physics, business, computer science and engineering. Limits, continuty, derivatives, antiderivatives and differention techniques will be taught. |
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