1. Comprehension and use of the concepts of limit, derivative, integral.
2. Comprehension of the infinitesimal approach: subdividing a process to infinitesimally small and easily manageable sub-processes.
3. Solution methods for 1st order ordinary differential equations..
4. Applying the above concepts to modeling and solution of engineering problems.
Course Content (Syllabus)
Functions of one variable. Exponential and logarithmic function. Trigonometric and hyperbolic functions and their inverses. Limits and continuity of functions of one variable. Derivative and its applications. Polar coordinates and parametric functions. Implicit differentiation and differentiation of parametric functions. Sequences and series of real numbers. Power series and Taylor series. Indefinite and definite integrals. Integration methods. Generalized integrals. Applications of the definitie integral. Ordinary differential equations of the 1st order: definitions, solution methods and application to engineering problems.