
Edexcel AS and A level Further Mathematics Decision Mathematics 1
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Content
- Front Cover
- Contents
- Overarching themes
- Extra online content
- Chapter 1: Algorithms
- 1.1: Using and understanding algorithms
- 1.2: Flow charts
- 1.3: Bubble sort
- 1.4: Quick sort
- 1.5: Bin-packing algorithms
- 1.6: Order of an algorithm
- Mixed exercise: 1
- Chapter 2: Graphs and networks
- 2.1: Modelling with graphs
- 2.2: Graph theory
- 2.3: Special types of graph
- 2.4: Representing graphs and networks using matrices
- 2.5: The planarity algorithm
- Mixed exercise: 2
- Chapter 3: Algorithms on graphs
- 3.1: Kruskal's algorithm
- 3.2: Prim's algorithm
- 3.3: Applying Prim's algorithm to a distance matrix
- 3.4: Using Dijkstra's algorithm to find the shortest path
- 3.5: Floyd's algorithm
- Mixed exercise: 3
- Chapter 4: Route inspection
- 4.1: Eulerian graphs
- 4.2: Using the route inspection algorithm
- 4.3: Networks with more than four odd nodes
- Mixed exercise: 4
- Chapter 5: The travelling salesman problem
- 5.1: The classical and practical travelling salesman problems
- 5.2: Using a minimum spanning tree method to find an upper bound
- 5.3: Using a minimum spanning tree method to find a lower bound
- 5.4: Using the nearest neighbour algorithm to find an upper bound
- Mixed exercise: 5
- Review exercise: 1
- Chapter 6: Linear programming
- 6.1: Linear programming problems
- 6.2: Graphical methods
- 6.3: Locating the optimal point
- 6.4: Solutions with integer values
- Mixed exercise: 6
- Chapter 7: The simplex algorithm
- 7.1: Formulating linear programming problems
- 7.2: The simplex method
- 7.3: Problems requiring integer solutions
- 7.4: Two-stage simplex method
- 7.5: The Big-M method
- Mixed exercise: 7
- Chapter 8: Critical path analysis
- 8.1: Modelling a project
- 8.2: Dummy activities
- 8.3: Early and late event times
- 8.4: Critical activities
- 8.5: The float of an activity
- 8.6: Gantt charts
- 8.7: Resource histograms
- 8.8: Scheduling diagrams
- Mixed exercise: 8
- Review exercise: 2
- Exam-style practice: AS
- Exam-style practice: A level
- Answers
- Index
- Back Cover
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