Introduction

1. Matrices 1.0 Basic definitions of Matrices 1.1 Problems on Basic definitions 1.2 Rank of Matrix 1.3 Normal form or Canonical form 1.4 Finding Two Non-Singular Matrices P and Q Such that PAQ is in Normal Form 1.5 Inverse of a Matrix by Gauss- Jordan Methods 1.6 System of Non-Homogeneous equations 1.7 System of Homogeneous Linear equations 1.8 Diagonally Dominant Matrix Definition 1.9 Guss-Seidel Method

2. Eigen Values and Eigen Vectors 2.1 Definition and Concepts of Eigen values and Eigen vectors 2.2 Properties of Eigen values and Eigen vectors 2.3 Theorems on eigenvalues and eigenvectors 2.4 Cayley Hamilton Theorem 2.5 Diagonalization of a Matrix and Theorem without Proof 2.6 Quadratic Forms 2.7 Nature of Quadratic Forms

3. Sequences and Series 3.1 Basics definition of sequence 3.2 Convergence of sequence problem 'n' 3.3 Introduction to series 3.4 Geometric series 3.5 Comparison Test for Positive Term Series

3.6 P-Series Test 3.7 Problems with Comparison Test 3.8 D Alembert's Ratio Test 3.9 Raabe's Test 3.10 Logarithmic Test 3.11 Cauchy's nth Root Test 3.12 Cauchy's Integral Test 3.13 Alternating Series 3.14 Absolute and Conditional Converagence

4. Calculus 4.1 Rolle's Theorem 4.2 Lagrange Mean Value Theorem 4.3 Cauchy's Mean Value Theorem 4.4 Taylor's Theorem with Different Form of Remainders 4.5 Surface Area of Revolution 4.6 Beta Gamma Functions and Properties

5. Multivariable Calculus (Partial Differentiation & Application) 5.1 Multi-Variable Calculus Concept of Limit of A Function 5.2 Homogeneous Function with Examples 5.3 Eulers Theorem 5.4 Composite Function Total Derivates, Implicit Function 5.5 Jacobian Definition and Properties 5.6 Functional Dependence and Independence 5.7 Taylor's Theorem for Function Two Variables 5.8 Definition of Maxima & Minima

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Preparing for Engineering Mathematics is not an easy task and if you are going with self-preparation it needs a lot of discipline. There is a lot of confusion about where to start and what to read. There is always a way out of this confusion and that is what this section is all about.. Read the following articles to get an idea…

Early Revision Technique

There is no substitute for early revision. You need to start early.

You really want to give yourself sufficient time to revise all that you have contemplated and ensure that you grasp it. Last moment revision is considered useless. Revise each subject as you go, and ensure that you revise it completely as this will make modification a lot more straightforward. Eventually, the best tip is to focus on and know your syllabus, and beginning early is the most effective way to accomplish this.

Vary your revision techniques

Continuously revising, for example, reading your notes regarding a topic, is probably going to be very dull. Brighten up your revision period by revising various topics and methods.

Practice old question papers

Doing revision on previous papers will test your comprehension skills. Revise all previous year's papers as much as you can.

Draw maps and keep techniques

Drawing mind maps or other synopsis charts to test what you can revise, and afterward, really look at them on your notes. Notice where you have left out a detail or where you forgot.

Take Regular breaks in between study schedule

Take regular breaks and don’t study continuously for hours. Basically, it is very hard to study for more than half an hour and keep concentrated. Find those days when you can do more and utilize that day.

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Introduction

3. Sequences and Series 3.1 Basics definition of sequence 3.2 Convergence of sequence problem 'n' 3.3 Introduction to series 3.4 Geometric series 3.5 Comparison Test for Positive Term Series

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Early Revision Technique

There is no substitute for early revision. You need to start early.

Vary your revision techniques

Continuously revising, for example, reading your notes regarding a topic, is probably going to be very dull. Brighten up your revision period by revising various topics and methods.

Practice old question papers

Doing revision on previous papers will test your comprehension skills. Revise all previous year's papers as much as you can.

Draw maps and keep techniques

Drawing mind maps or other synopsis charts to test what you can revise, and afterward, really look at them on your notes. Notice where you have left out a detail or where you forgot.

Take Regular breaks in between study schedule

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