engineering mathematics is an important subject for anyone who wants to participate in the engineering field. There are many topics to be learned by the students before they step into the realm of engineering. At the outset, there are nine chapter to learn first mahasiswa.Chapter is futher transcendental functions. In this chapter the lesson is about function and inverse function. In chapter two, they will learn about differentiation. The subtopic in the differentiation are the chain rules, implicit differentiation of functions, differentiation of parametric function, hyperbolic function of differentiation, differentiation involving inverse trigonometric function and differentiation involving inverse hyperbolic function.In the chapter 3, the students will learn about integrations. In this topic students will learn about the technique disclosed that consist of substitution integration method, by part method ang tabular method. In this integration, students will also learn about integration of trigonometric function, hyperbolic function of integration, integration of irrational function, inverse trigonometric function involving integration and intergration involving inverse hyperbolic function
Next is the improper integrals that will be taught in chapter four. The subtopic are L'Hopital's Rule, Infinite Limits of Integration and Infinite dicontinuity.After finish learning the chapter four, we continued to series that is in chapter five. The subtopic are progrssion, series, sum of series, of power series and taylor's & maclaurin's series. The topic Chameleon will be taught in chapter six. The subtopic are Basic Concepts, Chameleon in space, the dot product, the cross product, lines in space and planes in space. then followed by a chapter seven. The students will learn about defination and Notation Concepts, two equal matrices, types of matrices, Algebraic operation on matrices, special matrices, Elementary row operations, echelon and reduced echelon matrix matrix, determinant, inverse matrices, solving systems of linear equations and eigenvalues and eigenvectors.next topic is polar coordinates.The parametric equation and polar coodinates are the topic will be learn in this topic.Last but no least is chapter 9, that is complex numbers. In this complex numbers, students will be Expose to an imaginary number, complex numbers, Algebraic operation on complex number, polar form of complex numbers, de moivre's theorem and functions of a complex variable.
as conclusion, we can see that a lot of topic that the student of engineering course need to learn and know BEFORE entering the industry as an engineer.