# (Syllabus) AIMCET Examination (Mathematics)

**Syllabus
: ****AIMCE****T****
Examination **(National Level Entrance Exam)

**Mathematics**
(100 questions - objective
type)

**Algebra:**
Fundamental operations in Algebra, Expansion, factorization, simultaneous linear
/ quadratic equations, indices, logarithms, arithmetic, geometric and harmonic
progressions, binomial theorem, permutations and combinations, surds,
determinants, matrices and application to solution of simultaneous linear
equations.

**Co-ordinate
Geometry:** Rectangular Cartesian co-ordinates, equations of a line, mid
point,intersections etc., equations of a circle, distance formulae, pair of
straight lines, parabola,ellipse and hyperbola, simple geometric transformations
such as translation, rotation, scaling.

**Calculus:**
Limit of functions, continuous functions, differentiation of
functions(s),Tangents and normal, simple examples of maxima and minima,
Integration of function by parts, by substitution and by partial fraction,
definite integral application to volumes and surfaces of frustums of a sphere,
cone, cylinder, Taylor Series.

**Differential
Equations:** Differential equations of first order and their solutions, linear
differential equations with constant coefficients, homogenous linear
differential equations.

**Vector:**
Position vector, additions and subtraction of vectors, scalar and vector
products and their applications to simple geometrical problems and mechanics.

**Trigonometry:
**Simple identities, trigonometric equations, properties of triangles,
solution of triangles, height and distance, inverse function

**Probability
and Statistics:** Basic concepts of probability theory, Averages, Dependent
and independent events, frequency distributions, and measures of dispersions,
skewness and kurtosis, random variable and distribution functions, mathematical
expectations, Binomial, Poisson, normal distributions, curve fitting, and
principle of least squares, correlation and regression

**Linear
Programming: **Formulation of simple linear programming problems, basic
concepts of graphical and simplex methods