7. Integrals
7.1. Introduction
7.2. Integration as an Inverse Process of Differentiation
7.3. Methods of Integration
7.4. Integrals of some particular Functions
7.5. Integrations by Parts
7.6. Definite Integral
7.7. Fundamentals Theorem of Calculus
7.8. Evaluation of Definite Integrals by Substitutions
7.9. Some Properties of Definite Integrals
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8. Application of Integrals
8.1. Introduction
8.2. Area Under Simple Curves
8.3. Area between Two Curves
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9. Differential Equations
9.1. Introduction
9.2. Basic Concepts
9.3. General and particular solution of a differential equation
9.4. Formation of a Differential Equation Whose General solution is given
9.5. Methods of Solving First order, First degree Differential Equations
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10. Vector Algebra
10.1. Introduction
10.2. Some basic Concepts
10.3. Types of Vectors
10.4. Addition of Vectors
10.5. Multiplication of a Vector by a Scalar
10.6. Product of Two Vectors
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11. Three-Dimensional Geometry
11.1. Introduction
11.2. Direction cosines and Direction of a Line
11.3. Equation of a Line in Space
11.4. Angle between two lines
11.5. Shortest Distance Between Two Lines
11.6. Plane
11.7. Coplanarity of Two Lines
11.8. Angle between two Planes
11.9. Distance of a Point from a Plane
11.10. Angle between a Line and a Plane
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12. Linear Programming
12.1. Introduction
12.2. Linear programming Problem and its Mathematical Formulation
12.3. Different Types of Linear Programming Problems
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13. Probability
13.1. Introduction
13.2. Conditional Probability
13.3. Multiplication Theorem on Probability
13.4. Independent Events
13.5. Bayes’ Theorem
13.6. Random Variables and its Probability Distributions
13.7. Bernoulli Trials and Binomial Distribution
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