Course Description:

Monotonicity is a fundamental concept in mathematics that plays a crucial role in various mathematical disciplines, including calculus and real analysis. This course is designed for Class 12 students and those preparing for the Indian Institute of Technology Joint Entrance Examination (IIT JEE). It aims to provide a comprehensive understanding of monotonicity, its applications, and its significance in solving mathematical problems.

Course Objectives:

1. To introduce students to the concept of monotonic functions.
2. To explain the properties of increasing and decreasing functions.
3. To teach techniques for determining the monotonicity of functions.
4. To explore the role of monotonicity in calculus and mathematical analysis.
5. To solve practical problems involving monotonic functions.
6. To prepare students for competitive examinations like IIT JEE.

By the end of this course, students will have a solid understanding of monotonicity and its applications, which will not only help them excel in their Class 12 mathematics curriculum but also prepare them for the challenges of competitive exams like IIT JEE.