Applied Math- Limit, Derivative & Applications of Derivative

🧮 Master Applied Math: Limit, Derivative & Their Wonders 🚀

Course Overview:

Dive into the world of Applied Mathematics with our comprehensive online course designed for students preparing for various competitive exams like IIT-JEE Main & Advanced, BITSAT, SAT, MCAT, State Board, CBSE, ICSE, and IGCSE. This course will empower you to understand the core concepts of Limits and Derivatives and their practical applications in real-world scenarios.

Course Highlights:

🔹 Intuitive Learning: We'll introduce you to the concept of a derivative as the rate of change, both geometrically for the slope of a curve and algebraically for functions like polynomials, rational functions, trigonometric, exponential, and logarithmic.

🔹 Limit Fundamentals: Learn the intricacies of limits, how to approach them from the left and right, and understand the significance of their convergence at a point.

🔹 Derivative Mastery: Discover the definition of a derivative, its relation to the tangent of a curve, and explore the derivatives of polynomial and trigonometric functions.

Applications of Derivatives:

🔸 Real-World Applications: Unravel how derivatives can be used to determine the rate of change of bodies, analyze increasing or decreasing functions, and solve problems involving tangents and normals, approximations, and to find maxima and minima.

🔸 First & Second Derivative Tests: Learn how to apply the first derivative test to identify points of local maxima and minima, and understand when a point is an inflection point. Master the second derivative test to determine whether a critical point is a minimum or maximum.

🔸 Maxima and Minima: Navigate through the step-by-step process to find absolute maxima and minima with confidence.

Course Breakdown:

Limits and Derivatives:

1. Understanding Limits - Concepts and Examples
2. Finding Limits - Algebraic and Graphical Techniques
3. Derivative Rules - Learn the basics, product rule, quotient rule, and chain rule
4. Higher-Order Derivatives - Explore the derivatives of higher order for in-depth analysis

Applications of Derivatives:

1. Rates of Change - How to calculate velocity, acceleration, etc.
2. Optimization Problems - Using derivatives to find maximum and minimum values
3. Curve Sketching - Tangents, normals, and understanding curve behavior
4. Real-World Scenarios - Applying calculus to solve practical problems

Maxima and Minima:

1. Critical Points - Identifying where functions have horizontal tangents
2. First Derivative Test - Determining the nature of critical points
3. Second Derivative Test - Confirming the results of the first test
4. Absolute Extrema - Finding the ultimate maximum and minimum values in an interval

Who is this course for?

This course is ideal for:

• Students preparing for competitive exams like IIT-JEE, BITSAT, SAT, MCAT, etc.
• Math enthusiasts looking to deepen their understanding of calculus
• Anyone interested in the practical applications of applied mathematics

Why take this course?

• Expert Instructors: Learn from seasoned professionals with years of experience in teaching competitive math.
• Interactive Learning: Engage with interactive examples and practice problems to solidify your understanding.
• Comprehensive Study Material: Access a wealth of resources, including video lectures, notes, and sample problems.
• Flexible Learning: Study at your own pace from the comfort of your home or on the go.

🎓 Embark on a journey to master applied mathematics with our expert-led course today and unlock the door to success in your exams! 🚀