omer uner
Classification: Unit 3
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Crash report
Pure Mathematics (3) WMA13/01 January 2021
1. Integration Techniques: Algebraic and exponential integration, partial fractions, handling improper limits and composite rational functions.
2. Function Transformations: Modulus, scaling, reflection, and translation applied to graphs; determining key intersection points and sketch features.
3. Inverse and Rational Functions: Simplifying rational expressions, deriving inverse functions, determining inverse domains.
4. Exponential Growth and Rates: Modelling with exponentials, calculating constants from initial conditions, predicting values and rate of change through differentiation.
5. Differentiation and Iteration: Solving derivatives of composite trigonometric forms, using fixed-point iteration, validating roots within intervals.
6. Trigonometric Identities and Solutions: Proving identities, solving complex trig equations, applying domain constraints and giving solutions in radians.
2. Function Transformations: Modulus, scaling, reflection, and translation applied to graphs; determining key intersection points and sketch features.
3. Inverse and Rational Functions: Simplifying rational expressions, deriving inverse functions, determining inverse domains.
4. Exponential Growth and Rates: Modelling with exponentials, calculating constants from initial conditions, predicting values and rate of change through differentiation.
5. Differentiation and Iteration: Solving derivatives of composite trigonometric forms, using fixed-point iteration, validating roots within intervals.
6. Trigonometric Identities and Solutions: Proving identities, solving complex trig equations, applying domain constraints and giving solutions in radians.