This batch is designed to transform mathematical curiosity into mastery. Starting from the roots of algebra and trigonometry, students' progress toward the powerful concepts of derivatives and integration — the twin engines that drive modern mathematics, physics, and engineering.
Students will revisit and master the core principles of algebra, including equations, inequalities, functions, and polynomials. Emphasis is placed on building the logical structure required for higher-level problem-solving.
Explore the world of angles, identities, and trigonometric functions. Students will learn how to model periodic behavior and apply trigonometry to real-world and calculus-based problems. Understand sine, cosine, and tangent relationships, and use them in geometric and analytical contexts.
An in-depth look into differentiation and its applications. Students will learn rules of differentiation, curve sketching, optimization, and motion analysis, linking theory to real-world phenomena. Use derivatives to understand rates of change and the behavior of complex functions.
Students will discover integration as the inverse process of differentiation. This module covers definite and indefinite integrals, area under curves, and practical applications in physics and engineering. Compute integrals to find areas, volumes, and total accumulation in dynamic systems.
By the end of this course, students will be able to: ⧭ Connect algebraic, trigonometric, and calculus concepts into a unified mathematical understanding. ⧭ Apply derivatives and integrals to model and solve real-world problems. ⧭ Develop strong analytical thinking and problem-solving techniques. ⧭ Visualize mathematical relationships through graphs and geometric interpretations. ⧭ Build confidence in approaching advanced math problems with creativity and precision.
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