Applications Interactive Videos

Explore calculus concepts with a focus on tangents, normals, and their geometric applications. Master the calculations of gradients and equations through practical exercises, aiming to enhance understanding and proficiency in these critical mathematical areas.

Master critical calculus techniques such as integration and the chain rule to effectively tackle problems involving volume calculations and trigonometric functions. Develop advanced problem-solving skills by applying fundamental calculus concepts.

Investigate integration techniques to calculate areas and comprehend the application of definite integrals. Develop the ability to solve practical integration problems and understand the pivotal role of constants in integration.

Master core calculus concepts by focusing on functions, derivatives, and integrals. Develop abilities to analyze mathematical behavior and effectively solve calculus problems.

Understand how calculus elucidates change through the concepts of limits and derivatives. Develop proficiency in analyzing functions and comprehend their practical applications.

Enhance understanding of exponential growth's practical applications, particularly in finance through the concept of continuous compounding. Focus on mastering growth formulas and interest calculations for proficiency in financial analysis and decision-making.

Study fundamental geometry concepts, focusing on triangle congruence and similarity of figures. Gain expertise in constructing congruence proofs and deploying counterexamples effectively.

Investigate triangle congruence using criteria such as Side-Side-Side (SSS) and Angle-Side-Angle (ASA). Develop an understanding of key concepts and apply congruence proofs to enhance skills in identifying congruent parts and solving geometric problems.

Investigate the principles of triangle congruence through in-depth discussions of relevant theorems and methods. Attain proficiency in determining the congruence of triangles by applying geometric concepts effectively. Develop skills in identifying congruent triangles using various techniques and enhance understanding through practical examples and exercises.

Understand the CPCTC method and the role of congruent triangles in geometry. Gain expertise in identifying corresponding parts and proving triangle congruence by applying foundational geometric theorems.

Examine the criteria for triangle similarity, focusing on Angle-Angle (AA), Side-Side-Side (SSS), and Side-Angle-Side (SAS). Understand and apply these principles in geometry to identify similar triangles and solve geometric problems effectively.

Gain a comprehensive understanding of trigonometry by mastering key concepts such as SOHCAHTOA and exploring the properties of triangles. Develop skills in identifying trigonometric functions and efficiently calculating side lengths.

Examine calculus concepts involving parametric and polar equations to enhance analytical skills for solving complex problems. Develop an understanding of important mathematical relationships.

Investigate fundamental calculus concepts such as derivatives, integrals, and limit analysis. Develop proficiency in computing areas, determining tangent slopes, and applying the Mean Value Theorem effectively. Focus on understanding these concepts to enhance analytical and problem-solving skills in calculus.

Focus on mastering the fundamental trigonometric concepts related to SOHCAHTOA and right-angle triangles. Develop proficiency in identifying angles, performing computations, and converting between trigonometric expressions. The learning process emphasizes enhancing skills in understanding the relationships between the sides and angles of right triangles.

Explore techniques for solving inequalities and enhance problem-solving skills by applying the trapezium rule to approximate areas under curves. Gain a deeper understanding of calculus-driven approaches, focusing on both theoretical and practical aspects of inequalities and integral calculus.

Understand and apply calculus concepts by focusing on integration techniques. Develop skills to compute net change, calculate areas, and analyze motion. Strengthen problem-solving abilities in various applications of integration.

Examine essential probability concepts and explore their diverse applications in real-world situations. Develop the ability to evaluate probabilities and utilize strategic reasoning in problem-solving.

Analyze the differentiation of sine functions and explore trigonometric applications in calculus. Develop proficiency in applying the chain rule and gain an understanding of rates of change and oscillations.

Examine key concepts in derivatives, including limits, L'Hôpital's Rule, and concavity. Develop the ability to effectively analyze and apply calculus principles.