A Level Further Mathematics for AQA Student Book 1 1st Edition by Stephen Ward, Paul Fannon – Ebook PDF Instant Download/Delivery: 1316644294, 9781316644430
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ISBN 10: 1316644294
ISBN 13: 9781316644430
Author: Stephen Ward, Paul Fannon
New 2017 Cambridge A Level Maths and Further Maths resources to help students with learning and revision. Written for the AQA AS/A Level Further Mathematics specification for first teaching from 2017, this print Student Book and Cambridge Elevate edition covers the compulsory content for AS and first year of A Level. It balances accessible exposition with many worked examples, exercises and opportunities to test and consolidate learning, providing a clear and structured pathway for progressing through the course. It is underpinned by a strong pedagogical approach, with emphasis on skills development and the synoptic nature of the course. Available online and on tablet devices through the Cambridge Elevate app. Includes answers to aid independent study.
A Level Further Mathematics for AQA Student Book 1 1st Table of contents:
1. Introduction to Further Mathematics
1.1 Overview of the AQA Further Mathematics Course
1.2 Key Concepts and Approaches
1.3 How to Use This Book Effectively
1.4 Structure of the Further Mathematics A-Level
2. Pure Mathematics 1: Algebra and Functions
2.1 Sequences and Series
2.2 Algebraic Manipulation and Simplification
2.3 Functions and Graphs
2.4 Exponentials and Logarithms
2.5 Polynomials and Factor Theorem
2.6 Rational Functions
3. Pure Mathematics 2: Calculus
3.1 Differentiation and Integration
3.2 Applications of Differentiation: Tangents and Normals
3.3 Kinematics: Motion and Rates of Change
3.4 Integration Techniques: Substitution and Integration by Parts
3.5 Differential Equations: Introduction and Simple Solutions
3.6 Numerical Methods: Newton-Raphson
4. Pure Mathematics 3: Complex Numbers
4.1 Introduction to Complex Numbers
4.2 Operations with Complex Numbers
4.3 Polar Form of Complex Numbers
4.4 Argand Diagrams and Modulus-Argument Form
4.5 De Moivre’s Theorem and Roots of Complex Numbers
4.6 Applications of Complex Numbers
5. Pure Mathematics 4: Matrices and Determinants
5.1 Matrix Operations
5.2 The Determinant of a Matrix
5.3 Inverse of a Matrix
5.4 Solving Systems of Equations Using Matrices
5.5 Eigenvalues and Eigenvectors
5.6 Applications of Matrices
6. Pure Mathematics 5: Vectors
6.1 Vector Notation and Operations
6.2 Scalar and Vector Products
6.3 Vectors in Three Dimensions
6.4 Lines and Planes in Three-Dimensional Space
6.5 Applications of Vectors: Geometry and Mechanics
7. Mechanics 1: Kinematics and Dynamics
7.1 Motion in a Straight Line
7.2 Projectile Motion
7.3 Forces and Newton’s Laws
7.4 Work, Energy, and Power
7.5 Impulse and Momentum
7.6 Equilibrium of a Particle
8. Mechanics 2: Further Topics in Mechanics
8.1 Circular Motion
8.2 Simple Harmonic Motion
8.3 Friction and Resistance
8.4 Moments and Torque
8.5 Systems of Particles and Rotational Dynamics
9. Decision Mathematics 1: Algorithms and Graph Theory
9.1 Algorithms and Problem-Solving Techniques
9.2 Graphs and Networks
9.3 Euler’s and Hamiltonian Paths
9.4 Critical Path Analysis
9.5 Linear Programming
9.6 Applications of Decision Mathematics
10. Additional Pure Mathematics Topics
10.1 Proof by Induction
10.2 Binomial Expansion
10.3 Further Applications of Integration
10.4 Differential Equations and Mathematical Modelling
11. Revision and Practice
11.1 Exam Practice: Worked Examples
11.2 Problem-Solving Techniques and Strategies
11.3 Sample Exam Papers
11.4 Solutions to Practice Problems
12. Index
13. Glossary
14. Answers to Selected Questions
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Stephen Ward,Paul Fannon,Further Mathematics,AQA Student