Exercise Files
Chapter I. Propositions and Sets
Discover how mathematics begins with logic. Learn to recognize, form, and reason with propositions, then explore sets as the foundation of all mathematical structures.
→ Develop systematic thinking and precise expression of ideas.
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Chapter II. Linear Inequalities and Systems of Linear Inequalities in Two Variables
Move from logic to application—learn to model real-world problems using inequalities and systems of inequalities with two variables.
→ Strengthen your problem-solving and graphing skills essential for analytics, physics, and data science.
Chapter III. Trigonometric Relations in Triangles
Dive into geometry through trigonometric relationships. Understand how angles, sides, and ratios interact within every triangle.
→ Apply these formulas to measurement, design, and even engineering scenarios.
Chapter IV. Vectors
Enter the language of modern mathematics and physics—vectors. Master operations, coordinate representation, and dot products to describe motion, force, and space elegantly.
→ A gateway to advanced studies in mechanics, computer graphics, and AI geometry.