Gamma Question Bank for Engineering Mathematics

Mathematics

Probability

This chapter throws light on the concept of probability. It is the measure of the likelihood of an event to occur. MCQs with explanatory answers are provided for practice.

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Basics of Probability

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Algebra of Probabilities

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Addition and Multiplication Theorems of Probability

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Conditional Probability

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Bayes' Theorem

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Bernoulli Trials and Binomial Distribution

Addition Theorem of Probability: Illustrations

Multiplication Theorem on Probability

The Law of Total Probability

Illustration on Pairwise Independent Events

Independency of More Than Two Events

Illustration on Conditional Probability

Problem on Conditional Probability

IlLustration on Probability of Events

Conic Section

This chapter provides knowledge on binomial expansion and its applications. It discusses series involving binomial coefficients and teaches us how to find the sum of coefficients in binomial expansion. It explains the binomial theorem for any index.

Binomial Theorem

This topic explains the concept of Straight Lines by discussing the slope of a line. It discusses various forms of the equations of a line. It provides proofs of multiple theorems on the slope of a non-vertical line, slopes of parallel lines, etc.

Straight Lines

This chapter provides knowledge about the principles of mathematical induction. Here, students will understand various principles of mathematical induction in detail. Solved examples and illustrations are also included for their better understanding.

Principle of Mathematical Induction

This chapter sheds light on linear inequalities in one variable and their solution. It explains the graphical solution of a system of linear inequalities in one and two variables. We will also learn how to quadratic inequalities with the aid of examples.

Linear Inequalities

This chapter talks about complex numbers. It helps us to represent complex numbers geometrically using Argand diagrams. We learn about carrying out operations of complex numbers and the ways to find the two square roots of a complex number.

Complex Numbers

This chapter talks about the coordinate axis and coordinate planes in three dimension. It also discusses the coordinates of a point in space and its signs convention. We will also learn about distance and section formulae here.

Introduction to Three Dimensional Geometry

This chapter teaches us the basics of mathematical reasoning. It discusses converse and contrapositive statements and explains the logical operations. Further, it elucidates tautology and contradiction in detail.

Mathematical Reasoning

This topic discusses various trigonometric functions along with their domain and range. It also builds a relationship between a degree and a radian. It also discusses the functions of negative angles and formulas regarding compound angles.

Trigonometric Functions

This chapter talks about quadratic equations. It explains the relation between roots and coefficients. We will learn the factorisation method of solving a quadratic equation and the formation of the quadratic equation when the roots are given.

Quadratic Equations

This chapter talks about sequences and series. It explains arithmetic, geometric, and harmonic progression with their means. It also describes how to find the sum of infinite terms of geometric progressions and arithmetico-geometric progressions.

Sequences and Series

This chapter discusses relations and functions. It explains relations on a set. It covers different types of functions, the composition of functions and invertible functions. Furthermore, it explains the concepts of binary operations.

Relations and Functions

This chapter teaches us about permutations and combinations. A review of facts and formulae are given here. We will also discuss objective questions on fundamental principles of accounting, multiplication, and addition principles.

Permutations and Combinations

This chapter deals with the concepts and formulas related to limits and functions. We will also learn to evaluate limits, algebraic limits and trigonometric limits. It also discusses the algebra of derivatives of functions through examples and exercises.

Limits and Derivatives

Basics of Mathematics

This chapter teaches us how to collect, represent and interpret data. It explains the different ways to represent data graphically, which includes bar graphs, histograms and frequency polygons. It also discusses the measures of central tendency.

Statistics

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