BVP Pune Entrance Exam

I want to get admission in engineering course in science subject in Bharati Vidyapeeth University. Can you please give me detailed syllabus of its entrance exam?

[Saksham]

You are looking for the BVP Pune engineering entrance exam syllabus, here I am providing you:

BUP engineering entrance syllabus:

Trigonometry:
Angle and its Measurements, Standard Angles, Angles in Quadrant and Quadrantal Angles, Relation between Degree Measure and Radian Measure, Length of Arc of a Circle, Area of Sector Trigonometric Ratios : Trigonometric Ratios of any Angle, Signs of Trigonometric Ratios in Different Quadrants, Fundamental Identities, Trigonometric Ratios of Compound Angles, Trigonometric Ratios of Allied Angles, Trigonometric Ratios of Multiple Angles, Trigonometric Ratios of Half Angles, Factorization and Defactorization Formulae, Sum and Difference of Two Angles, Properties of Triangle : Trigonometric Ratios of Angles of a Triangle, Cosine Rule, Sine Rule, Projection Rule, Inverse Circular Functions : Properties Of inverse Circularfunctions.

Determinant:
Determinant of Order 3, ( Expansion and Properties ), Cramer’s Rule, Condition of Consistency, Area of a Triangle.

Sets, Relations and Functions:
Review of Set Theory, Powerset, Cartesian Product, Relations, Functions, Types of Functions, Graphs of Functions, Composite Function, Inverse Function, Constant Function.

Logarithm:
Introduction and Definition, Laws of Logarithm with Proof, Change of Base, Numerical Problems

Complex Numbers:
Complex Number in the Form a+ib, Modulus, Complex Conjugate, Argument of Complex Number, Algebra of Complex Numbers, Square Roots of Complex Nnumbers, Argand Diagram.

Quadratic Equations:
Roots of Equation, Nature of Roots, Sum and Product of Roots, Formation of Quadratic Equation, Symmetric Functions of Roots, Complex Cube Roots of Unity.

Sequences and Series:
Arithmetic Progression, Geometric Progression, Harmonic Progression, Arithmetic Mean, Geometric Mean, Harmonic Mean, Special Series n, n2, n3 and their Uses.

Permutations and Combinations: Factorial Notation, Properties of n!, Fundamental Principle of Counting, Permutations, Permutations of Repeated Objects, Combinations, Relation between Permutations and Combinations.

Mathematical Induction and Binomial Theorem:
Principle of Mathematical Induction and its Applications, Binomial Theorem for (statement only), Obtaining General Term in the Expansion

Limits & Continuity:
Standard Limits, Definitions, Algebra of Limits ( without Proof ), Limit at Infinity, Continuity of a Function at a Point, Continuity of a Function in the Interval, Algebra of Continuous Functions, Types of Discontinuity, Continuity of some Standard Functions.

Differentiation:
Definition of Derivative, Derivatives of – (a) Constant Functions, (b) Power Functions, (c) Trigonometric Functions, Derivatives of Log x, ax, ex ( without Proof ), Rules of Differentiators : (a) Derivative of Sum (b) Derivative of Difference (c) Derivative of Product (d) Derivative of Quotient, Derivative From First Principle, Relation between Continuity and Differentiability, Derivative of Composite Function, Derivative of Inverse Functions, Derivative of Implicit Functions, Derivative of Parametric Functions, Second Order Derivative.