How to ace Calculus and Linear Algebra in 7 days

Posted On Jul 19, 2021 |

Calculus and Linear Algebra, the first sem math subject that has been a nightmare for many, isn't difficult to crack. Let us show you how.

Hey champ,

Passing engineering mathematics 1 can become the biggest misery of our life. If you feeling frustrated, confused, or just wondering to know the easiest topics, strategy, and what to start with, to pass VTU engineering mathematics then you are in right place.

What are the minimum marks to pass?

You need to score a minimum of 35 marks in the external exam.

Now the questions come down to how to score that 35 golden marks in the easiest and least time possible.

Preparation strategy

Before starting any modules brush up on your basics on these topics.

You can check our youtube channel to get this started

  • Differentiation
  • Partial differentiation
  • Basic Integration

How many modules to be prepared

The golden number is “3”. You need to prepare 3 modulus and few important questions to pass.

What are those 3 modules?

  • Module 5
  • Module 4
  • Module 1

Module 5 : Linear algebra

It is the easiest module you need to begin with this module

Questions are asked from these topics :

  • The rank of the matrix
  • Gauss-elimination methods
  • Gauss-jorden methods
  • Gauss- seidel method
  • Eigenvalues and Eigenvectors
  • Rayleigh’s power method
  • Diagonalization of a square matrix

Module-4 Ordinary Differential Equations (ODE’s)

This module has topics that can be learned easily by understanding the standard procedure of solving questions

Prerequisites required are :

  • Partial differentiation
  • Basic integration
  • Question are asked from these topics :
  • Exact and convertible to exact differentiation
  • Bernali’s equation
  • Solving for p

And easiest topics in this module are :

  • Newton’s laws of cooling
  • L-R circuits
  • Orthogonal trajectories

Module 1(Differential calculus 1)

Never start the module before knowing the prerequisite so the prerequisites required are :

  • Trigonometry
  • logarithm
  • differentiation

Topics from which questions were asked are :

  • The angle between radius vector and tangent vector
  • The angle between 2 polar curves
  • Pedal equations

They all have a similar procedure there is a youtube playlist from which you can learn this topic for free here.

This module is complete with one more important topic which is the radius of curvature. You need to remember both formulas, the cartesian and polar forms of the radius of curvature. These are the 3 modules to be learned.

This is the list of topics from module 2 which you can learn easily and score

  • Jacobians
  • L hospital rule
  • Taylor’s and MacLaren’s series

These are the topics from your 12th standard syllabus so you can easily learn this

If you can learn these topics your passing is inevitable and don’t forget to check our course on VTU engineering mathematics 1.

You can try this course for free here.