VCE Specialist Mathematics Units 3 and 4 – Calculus

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3.1 Inverse Trigonometric Functions
3.2 Differentiation
3.3 Integration
3.4 Area by Integration
3.5 Volume by Integration
3.6 Differential Equations
3.7 Kinematics
3.8 Related Rates of Change

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In this area of study, students cover advanced calculus techniques for analytic and numeric differentiation and integration of a range of functions, and combinations of functions; and their application in a variety of theoretical and practical situations, including curve sketching, evaluation of arc length, area and volume, differential equations and kinematics.

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