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eduvata

Sphere of Add Maths

Sphere of Add Maths

This Additional Mathematics course is designed to deepen your understanding of advanced mathematical concepts and problem-solving techniques. Covering topics like coordinate geometry, quadratic equations, differentiation, integration, trigonometry, vectors, and kinematics, this course builds a strong foundation for higher-level mathematics and its applications in science, engineering, and technology.

 

What You'll Learn

Throughout this course, you will:
✅ Master Coordinate Geometry – Understanding equations of lines and circles, their properties, and intersections.
✅ Solve Quadratic Equations – Using methods like factorization, the quadratic formula, completing the square, and the "ac" rule.
✅ Work with Inequalities – Solving linear and quadratic inequalities with graphical interpretations.
✅ Explore Roots of Quadratic Equations – Understanding the significance of α (alpha) and β (beta) roots.
✅ Develop a strong grasp of Functions & Relations – Recognizing and working with different types of functions.
✅ Learn about Surds and Logarithms – Simplifying and applying these in equations.
✅ Dive into Differentiation – From first principles, rates of change, and sketching quadratic curves.
✅ Apply Integration – Finding areas under curves and determining volumes of solids of revolution.
✅ Understand Series & Sequences – Arithmetic and geometric progressions.
✅ Explore Factor & Remainder Theorems – Important tools for polynomial equations.
✅ Work with Trigonometry – Identities, quadrant analysis, and solving trigonometric equations.
✅ Learn Vectors – Understanding magnitude, direction, and their applications.
✅ Study Statistics – Analyzing data and working with probability distributions.
✅ Apply Kinematics in Math – Using equations of motion and calculus in problem-solving.

What's Included

📘 Comprehensive Lessons – Step-by-step explanations of complex mathematical concepts.
📊 Visual Aids & Graphs – Graphing tools and coordinate geometry analysis.
🔢 Practice Problems – Exercises for mastering algebra, calculus, and trigonometry.
📐 Real-World Applications – Understanding how mathematics applies to physics, engineering, and technology.
📝 Exam Preparation – Past-paper-style questions to build confidence in tackling complex problems.

What's Required

📖 Strong Algebra Skills – A good grasp of algebraic manipulation, equations, and inequalities.
📏 Understanding of Basic Trigonometry – Knowledge of sine, cosine, and tangent functions.
📊 Graphing & Analytical Thinking – Ability to interpret and analyze graphs.
🧠 Logical & Critical Thinking – Essential for problem-solving and applying mathematical principles.
✏️ Commitment to Practice – Regular exercises and problem-solving to reinforce learning.
This course is perfect for students looking to enhance their mathematical skills and prepare for advanced studies in subjects like engineering, physics, economics, and computer science! 🚀📐

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