Basic Maths for NEET - Umeed Batch (Physics Wallah)

Introduction

• Lecturer: Raj Pandeer
• Platform: Physics Wallah YouTube Channel
• Purpose: To provide a foundation in basic mathematics crucial for solving NEET exam questions, particularly in physics.

Importance of Basic Maths

• Direct questions from basic mathematics may not appear in NEET, but many questions require basic math for solutions.
• Areas requiring basic math:
  • Differentiation
  • Integration
  • Application of trigonometric formulas
  • Finding maximum and minimum values

Accessing Lecture Resources

• PDF notes and practice sheets available on Physics Wallah mobile app.
• Follow steps to register and subscribe to Umeed Batch (free of cost).
• Practice sheets with solutions will be available the next day after the lecture.
• Aim for score of 160+ in Physics section with proper preparation.

Key Topics Covered

Basic Trigonometry

• Fundamental values of trigonometric functions (sin, cos, tan)
• Importance of memorizing values for key angles (0°, 30°, 45°, 60°, 90°)
• Trigonometric identities:
  • (sin^2\theta + cos^2\theta = 1)
  • (sec^2\theta - tan^2\theta = 1)
  • (cosec^2\theta - cot^2\theta = 1)
• Double-angle formulas:
  • (sin 2\theta = 2 \sin\theta \cos\theta)
  • (cos 2\theta = \cos^2\theta - \sin^2\theta)
• Understanding and remembering trigonometric transformations.

Trigonometric Conversions

• Converting degrees to radians and vice-versa.
• Important conversions:
  • (360° = 2\pi ad)
  • (180° = \pi ad)

Differentiation

• Concept: Instantaneous rate of change or slope of a curve.
• Common differentiation formulas:
  • (\frac{d}{dx}(e^x) = e^x)
  • (\frac{d}{dx}(\ln x) = \frac{1}{x})
  • Chain rule and product rule.
• Differentiating trigonometric functions.
• Differentiation of logarithmic and exponential functions.

Integration

• Concept: Area under a curve.
• Basic integration formulas:
  • ( \int x^n \ dx = \frac{x^{n+1}}{n+1} + C)
  • ( \int \frac{1}{x} \ dx = \ln|x| + C)
• Integration of trigonometric functions.
• Definite integrals and their evaluation.

Applying Differentiation and Integration

• Maxima and minima concepts using first and second derivatives.
• Solving problems involving maximum and minimum values.

Practice and Application

• Importance of practicing with worksheets.
• Understanding and applying differentiation and integration in various contexts such as motion, area calculations, etc.

Conclusion

• The lecture provides a thorough foundation in basic mathematics crucial for NEET preparation.
• Emphasis on practice and application to ace the Physics section in NEET.