Complete Pure Mathematics 1 for Cambridge International AS & A Level Jean Linsky

Complete Pure Mathematics 1 for Cambridge International AS & A Level by Jean Linsky

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Providing complete syllabus support (9709), this stretching and practice-focused course builds the advanced skills needed for the latest Cambridge assessments and the transition to higher education. Engaging, real world examples make mathematics relevant to real life.

Complete Pure Mathematics 1 for Cambridge International AS & A Level by Jean Linsky

Support achievement in the latest syllabus (9709), for examination from 2020, with a stretching, practice-driven approach that builds the advanced skills required for Cambridge exam success and progression to further study. This new edition is fully aligned with the Pure Mathematics 1 part of the latest International AS & A Level syllabus, and contains a comprehensive mapping grid so you can be sure of complete support. Get students ready for higher education with a focus on real world application. From parabolic reflectors to technology in sport, up-to-date, international examples show how mathematics is used in real life. Students have plenty of opportunities to hone their skills with extensive graduated practice and thorough worked examples. Plus, give students realistic practice for their exams with exam-style questions covering every topic. Answers are included in the back of the book with full step-by-step solutions for all exercises and exam-style questions available on the accompanying support site.

Syllabus matching grid 1 Quadratics 1.1: Solve quadratic equations by factorising 1.2: Solving linear inequalities 1.3: Solving quadratic inequalities 1.4: The method of completing the square 1.5: Solving quadratic equations using the formula 1.6: Solve more complex quadratic equations 1.7: The discriminant of a quadratic equation 1.8: Solving simultaneous equations 1.9: Graphs of quadratic functions 2 Functions and transformations 2.1: Mappings 2.2: Composite Functions 2.3: Inverse Functions 3 Coordinate Geometry 3.1: Line segments 3.2: Parallel and perpendicular lines 3.3: Equation of a straight line 3.4: Points of intersection and graphs Review exercise A Maths in real-life: Parabolic reflectors 4 Circular measure 4.1: Radians 4.2: Arc length and sector area 4.3: Further problems involving arcs and sectors 5 Trigonometry 5.1: Exact values of trigonometric functions 5.2: Graphs of trigonometric functions 5.3: Inverse trigonometric functions 5.4: Composite graphs 5.5: Trigonometric equations 5.6: Trigonometric identities 6 Binomial expansion 6.1: Pascal's triangle 6.2: Binomial notation 6.3: Binomial expansion 6.4: More complex expansions 7 Series 7.1: Sequences 7.2: Finite and infinite series 7.3: Arithmetic progressions 7.4: Geometric progressions 7.5: Infinite geometric progressions Review exercise B Maths in real-life: Infinity 8 Differentiation 8.1: The gradient of the tangent 8.2: Gradient of a tangent as a limit 8.3: Differentiation of polynomials 8.4: Differentiation of more complex functions 8.5: The chain rule (differentiating function of a function) 8.6: Finding the gradient of the tangent using differentiation 8.7: The second derivative 8.8: Equation of the tangent and the normal 9 Further differentiation 9.1: Increasing and decreasing functions 9.2: Stationary points 9.3: Problems involving maximum and minimum values 9.4: Connected rates of change 10 Integration 10.1: Integration as the reverse process of differentiation 10.2: Finding the constant of integration 10.3: Integrating expression of the form (ax + b)n 10.4: The definite integral 10.5: Finding area using definite integration 10.6: Area bounded by two curves or a curve and a line 10.7: Improper integrals 10.8: Volumes of revolution Review exercise C Maths in real-life: Describing change mathematically Exam-style paper A Exam-style paper B Answers Glossary of terms Index

Complete Pure Mathematics 1 for Cambridge International AS & A Level Jean Linsky

Complete Pure Mathematics 1 for Cambridge International AS & A Level by Jean Linsky

Summary

Complete Pure Mathematics 1 for Cambridge International AS & A Level Summary

Complete Pure Mathematics 1 for Cambridge International AS & A Level by Jean Linsky

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