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This book is a collection of a dozen mathematics projects. These are typically novel, interesting and several levels more complex than those usually found in textbooks. The nature of the projects makes them suitable for group working. The problems involve such diverse concepts as Newton's method for approximating roots, inverse trigonometric functions and surface area integrals. Although ideas from economics and physics are used in the problems no prior knowledge of these fields is required.
1. The case of the parabolic pool-table; 2. Calculus for climatologists; 3. The case of the swivelling spotlight; 4. Finding the salami curve; 5. Saving lunar station Alpha; 6. The case of the cooling cadaver; 7. An income policy for mediocria; 8. Designing dipsticks; 9. The case of the gilded goose egg; 10. Sunken treasure; 11. The case of the alien agent; 12. Solutions.