why you should purchase this course??

1. Detailed discussion of each chapter

2. 100 percent solution of all important questions.

3. Study material of each chapter.

4. Full ten years question and solution of each topic calculus,geometry,vector and c programme.

5. sample question of each topic for cu.

6. 25 days challenge.

7. practice set of each chapter

8. 18 short exam (40marks) and 5 full exam(75 marks) of c programming and major minor(on going)

9. All college tutorial questions.

Group A: Calculus [Marks:20] 

• Differentiability of a function at a point and in an interval. Meaning of sign of derivative. Differentiating hyperbolic functions, higher order derivatives, Leibnitz rule and its applications to functions of type 𝑒 𝑎𝑥+𝑏 sin x, 𝑒 𝑎𝑥+𝑏 cos x, (𝑎𝑥 + 𝑏) 𝑛 sin x, (𝑎𝑥 + 𝑏) 𝑛 cos x. Indeterminate forms. L’Hospital’s rule (statement and example). • Reduction formulae, derivations and illustrations of reduction formulae of the type ∫ sin𝑛 𝑥 𝑑𝑥, ∫ cos𝑛 𝑥 𝑑𝑥, ∫ tan𝑛 𝑥 𝑑𝑥, ∫ sec𝑛 𝑥 𝑑𝑥, ∫ (𝑙𝑜𝑔 𝑥) 𝑛𝑑𝑥, ∫ sin𝑛𝑥 sin𝑚𝑥 𝑑𝑥, ∫ sin𝑛𝑥 cos𝑚 𝑥 𝑑𝑥. Parametric equations, parametrizing a curve, arc length of a curve, arc length of parametric curves, area under a curve, area and volume of surface of revolution.

Group B: Geometry [Marks:35] 

• Rotation of axes and second degree equations, classification of conics using the discriminant, reduction to canonical form, tangent and normal, polar equations of conics. • Spheres. Cylindrical surfaces. Central conicoids, paraboloids, plane sections of conicoids, generating lines, identification of quadric surfaces like cone, cylinder, ellipsoid, hyperboloid, classification of quadrics.

Group C: Vector Analysis [Marks: 20]

• Triple product, vector equations, applications to geometry and mechanics — concurrent forces in a plane, theory of couples, system of parallel forces. Introduction to vector functions, operations with vector-valued functions, limits and continuity of vector functions, differentiation and integration of vector functions of one variable. 

C Language with Mathematical Applications(Theory: 75 and Tutorial: 25) 

Overview of architecture of computer, compiler, assembler, machine language, high level language, object oriented language, programming language, higher level language • Constants, Variables and Data type of C-Program: Character set. Constants and variables data types, expression, assignment statements, declaration. • Operation and Expressions: Arithmetic operators, relational operators, logical operators. • Decision Making and Branching: decision making with if statement, if-else statement, Nesting if statement, switch statement, break and continue statement. • Control Statements: While statement, do-while statement, for statement. •Arrays: One-dimension, two-dimension and multidimensional arrays, declaration of arrays, initialization of one and multi-dimensional arrays. • User-defined Functions: Definition of functions, Scope of variables, return values and their types, function declaration, function call by value, Nesting of functions, passing of arrays to functions, Recurrence of function. • Introduction to Library functions: stdio.h, math.h, string.h, stdlib.h, time.h etc.