What are the major topics for NVS PGT Mathematics Calculus?

Question

63 viewsSeptember 30, 2024NVS PGT

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Anonymous1.04K September 30, 2024 0 Comments

In NVS PGT Mathematics Calculus, major topics include limits and continuity, which focus on understanding function behavior at specific points. Differentiation covers techniques for finding derivatives and their applications in real-world problems, while integration explores methods for calculating areas under curves and solving complex equations. Additionally, applications of calculus in optimization and modeling real-life scenarios are essential for a comprehensive grasp of the subject.

kuldeep kaur Changed status to publish September 30, 2024

1 Answer

score 5 · Answer 1 · 2024-09-30T07:45:27+00:00

Dear Aspirant,

Thank you for your interest in the NVS PGT Mathematics coaching at Bansal Academy. Below, I’ve outlined the major topics in Calculus that you should focus on while preparing for the exam.

1. Limits and Continuity

Understanding the concept of limits
Techniques for calculating limits (including L’Hôpital’s Rule)
Continuity of functions and types of discontinuities

2. Differentiation

Definition and interpretation of the derivative
Rules of differentiation (product rule, quotient rule, chain rule)
Higher-order derivatives
Applications of derivatives in problems involving rates of change, tangents, and normals

3. Applications of Derivatives

Increasing and decreasing functions
Maxima and minima (First and Second Derivative Tests)
Concavity and points of inflection
Optimization problems

4. Integration

Indefinite integrals and techniques of integration (substitution, integration by parts)
Definite integrals and the Fundamental Theorem of Calculus
Applications of integrals in finding areas under curves and volumes of solids of revolution

5. Applications of Integration

Area between curves
Solving problems involving average value of a function
Applications in physics and engineering (e.g., work, center of mass)

6. Differential Equations

Basic concepts of differential equations
First-order differential equations (separable, linear)
Applications of differential equations in real-world scenarios

7. Sequences and Series

Convergence and divergence of sequences
Infinite series and tests for convergence (ratio test, root test)
Power series and Taylor series

8. Multivariable Calculus (if applicable)

Partial derivatives
Multiple integrals
Applications in optimization problems involving several variables

Conclusion

Focusing on these topics will not only enhance your understanding of Calculus but also equip you with the necessary skills for the NVS PGT Mathematics examination.

If you have any further questions or need personalized guidance, feel free to reach out!

Best regards,
Bansal Academy
Phone: 9216090169