## SSE1792-16 KALKULUS (CALCULUS)

(SSE1792-16)

**Vektor: **Scalars and vectors, vector notations, equality of two vectors,

algebraic operations on vectors, vectors in three-dimensional space, scalar

product, cross product, vector equations of a line, angle between two lines,

distance from a point to a plane, perpendicular distance from a point to a

plane, line of intersection of two planes. **Polar coordinates:** The polar

coordinate system, point representation in polar coordinates, relationship

between polar and Cartesian coordinates, curve sketching of polar equations,

parametric equations. **Complex numbers:** Definitions of complexes numbers

and imaginary numbers, algebraic operations on complex numbers, modulus and

argument, Euler’s formula, De Moivre’s theorem. **Further elementary
functions: **Inverse trigonometric functions, hyperbolic functions, inverse

hyperbolic functions.

**Differentiation:**Differential of composite

functions involving inverse trigonometric functions, hyperbolic functions or

inverse hyperbolic functions. Techniques of partial differentiation.

**Integration:**

Integration of expressions involving inverse trigonometric functions,

hyperbolic functions or inverse hybperbolic functions. Techniques of

integration using table of integral.

- Teacher: MUKHETA BIN ISA 909
- Teacher: ANATI BTE ALI 9122