Basic Mathematical Formula for Physics Numerical Solving

Which maths topics should a student study if he or she has not taken maths as one of the subject to tackle Physics problems?

I have given a small collection of basic maths topics that one has to study, who have not taken maths as one of the subjects. You may have to study with a maths teacher who is willing to teach you the basics. So that you can feel comfortable for your Physics numerical solving for your CBSE or State board exams and NEET / other entrance exams.

Mostly Algebra based problems can be tried and difficult trigonometry, log, exponential based problems can be skipped.

Remember this is just a guideline. If you do this short course around 30 hours, you may be able to overcome the fear of maths and feel confident for Physics problem solving.

11th Maths: 

Trigonometry: First two topics and exercises. 3.1, 3.2 (4 to 8 hours)

Introduction to Three Dimentional geometry: All topics and Exercises 11.1, 11.2 (4 to 8 hours)

Limits and Derivatives: Simple concepts on limits and derivatives. Solving some simple problems in Algebraic expressions is sufficient. Difficult trigonometric functions not necessary. (4 to 8 hours)

12th Maths:

Continuity and Differentiability: 5.2, 5.3, 5.7 simple problems in Second order differentiation. (4 to 8 hours)

Applications of Derivatives: Exercises 6.1, 6.2 (Maxima Minima finding important) (4 to 8 hours)

Integrals: Exercises 7.1, 7.8 (Area under the curve important) (4 to 8 hours)

Vector Algebra: Exercises 10.1, 10.2, 10.3, 10.4 (Entire chapter very important for Physics as we use dot product, cross product all the time) (4 to 8 hours)
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What? Basic Mathematical Formula for Physics Numerical Solving

Why? While doing Physics Numerical Solving students struggle with basic Maths principle that has to be applied in the numericals. Especially topics such as Vector Multiplication, Basic Differentiation, Basic Integration etc. students need help. 


This is because 11th CBSE Physics from 2nd chapter onwards involves numerical using vectors, differentiation, integration, while these topics are introduced to CBSE students in 12th Mathematics in Volume 2. This is one of the reasons students find Physics difficult. So there is a huge disconnect between Physics syllabus and Mathematics syllabus. A little bit of introduction to vectors, differentiation and integration in 11th Mathematics Volume 1 will fix this disconnect. Educators and CBSE should take some action in this regard. Until then students and Physics teachers will have to struggle.

Also Biology students who have not taken Maths also struggle with Physics numerical solving. Basic Maths reference given here is sufficient to solve Physics problems.

To Whom? 11th 12th CBSE ISC State NEET JEE students.











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Approximate values, Exponential and Logarithms,
Angle measurements, Sector Formula, Radian in 2D and Steradian in 3D
Commonly used graphs
Trignometric Ratios, Trignometric Identities, Sine, Cosine law, Effect of a, b, c, d on sine curve
Vector Multiplication, Scalar Dot Product, Vector Cross Product with Examples, Unit vectors
Introduction to Differentiation, Integration, Slope, Area under the curve, Basic formulas

Distance between a line and a point, Analytic vs. Parametric Equations,
Binomial Theorem, McLaurin Infinite series.
fermi, pico, nano, micro, milli, kilo, Mega, Giga, Tera, Peta, deca, hecto, deci, centi, 
What is RMS (Root Mean Square) ?

How to use Logarithms and Anti-Logarithms?


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