Access Mathematics-1 Syllabus & Important Questions PDF Download 2024

Syllabus

UNIT – I: Sequences, Series and Mean value theorems: (10hrs)

Sequences and Series: Convergences and divergence – Ratio test – Comparison tests – Integral test – Cauchy’s root test – Alternate series– Leibnitz’s rule. Mean Value Theorems (without proofs): Rolle’s Theorem – Lagrange’s mean value theorem – Cauchy’s mean value theorem – Taylor’s and Maclaurin’s theorems with remainders, Problems and applications on the above theorem.

UNIT – II: Differential equations of first order and first degree: (10hrs)

Linear differential equations– Bernoulli’s equations –Exact equations and equations reducible to exact form. Applications: Newton’s Law of cooling– Law of natural growth and decay– Orthogonal trajectories– Electrical circuits.

Mathematics-1 Syllabus & Important Questions PDF Download 2024
Mathematics-1 Syllabus & Important Questions PDF Download 2024

UNIT – III: Linear differential equations of higher order: (10hrs)

Homogeneous and Non-homogeneous differential equations of higher order with constant coefficients – with non-homogeneous term of the type eax, sin ax, cos ax, polynomials in xn , eaxV(x) and xnV(x) – Method of Variation of parameters, Cauchy and Legendre’s linear equations. Applications: LCR circuit, Simple Harmonic motion.

UNIT – IV: Partial differentiation: (10hrs)

Introduction – Homogeneous function – Euler’s theorem– Total derivative– Chain rule– Jacobian – Functional dependence –Taylor’s and MacLaurin’s series expansion of functions of two variables. Applications: Maxima and Minima of functions of two variables without constraints and Lagrange’s method.

UNIT – V: Multiple integrals: (8 hrs)

Double and Triple integrals – Change of order of integration in double integrals – Change of variables to polar, cylindrical and spherical coordinates. Applications: Finding Areas and Volumes.

Mathematics-1 Syllabus & Important Questions PDF Download 2024

Explore Our Free Resources:https://aajhub.in/resources

Join Our WhatsApp Channel

Disclaimer & important polices

  1. Content Source: Our website, is a dedicated platform for educational content sourced from various reputable online platforms. We aim to provide a wide array of materials, including articles, videos, and interactive resources, to cater to the diverse learning needs of our audience. Our content is carefully curated to ensure relevance, accuracy, and educational value.
  2. Ownership and Intellectual Property Rights: We uphold the highest standards of intellectual property rights and respect the copyrights of content creators. While we compile content from different sources, we do not claim ownership of any materials featured on our website. Proper attribution is given to all creators, and we are committed to addressing any concerns regarding ownership or usage rights promptly and responsibly.
  3. Non-Commercial Use: Our platform is strictly for educational purposes and does not engage in any commercial activities related to content usage. We believe in the free dissemination of knowledge and information and provide all resources on our website free of charge. We do not accept any form of financial compensation for the usage of content.
  4. Fair Use Commitment: We adhere to fair use principles and comply with copyright laws while sharing educational content on our platform. Our goal is to promote learning and knowledge sharing in a responsible and ethical manner. We respect the rights of content creators and ensure that all content used on our website is within the boundaries of fair use.
  5. No Financial Compensation: We do not accept financial compensation for the usage of content on our website. Our commitment is to provide educational resources to our audience free of charge. We do not engage in any form of monetization or commercial activities related to the content shared on our platform.
  6. Disclaimer of Liability: While we strive to ensure the accuracy and reliability of the information provided on our website, we cannot guarantee its completeness or timeliness. The content is provided for general informational purposes only, and users are encouraged to verify any information independently before relying on it. We do not assume any liability for any loss or damage incurred from the use of our website or reliance on its content.
  7. Risk Acknowledgment: Users should use their discretion when relying on the information provided on our website. Any actions taken based on the information found on our platform are done so at the user’s own risk. We do not accept responsibility for any consequences resulting from such actions.
  8. External Links: Our website may contain hyperlinks to external websites for additional information or reference. However, we do not endorse or control the content of these external sites. Users should review the privacy policies and terms of service of external sites before engaging with them.
  9. Privacy and Terms: By using our website, users agree to our privacy policy and terms of service. Users should review these policies carefully before using our website to understand how their personal information is collected, used, and protected.
  10. Consent: By accessing and using our website, users consent to the terms of our disclaimer and agree to abide by its provisions. Users should read this disclaimer carefully and understand its implications before using our website or accessing its content.
  11. Updates: This disclaimer is subject to updates, amendments, or changes without prior notice. Any modifications to this disclaimer will be prominently posted on our website to ensure transparency and awareness among our users. Users are encouraged to review this disclaimer periodically for any updates or changes.

In summary, our website is a dedicated platform for educational content sourced from reputable online platforms. We uphold the highest standards of intellectual property rights and fair use principles. We provide all resources on our website free of charge and do not accept any form of financial compensation for content usage. Users should use their discretion when relying on the information provided on our website, and any updates or changes to our disclaimer will be communicated transparently to our users.

Article about : Mathematics-1 Syllabus & Important Questions PDF Download 2024

Tags:#Mathematics-1 Syllabus & Important Questions PDF Download 2024, #access Mathematics-1 Syllabus & Important Questions PDF Download 2024

Leave a Reply

Your email address will not be published. Required fields are marked *