search for books and compare prices
Tables of Contents for Cambridge 2 Unit Mathematics Year 12
Chapter/Section Title
Page #
Page Count
Preface
How to use this book
About the authors
Chapter one - Integration: 1A. Finding areas by a limiting process, 1B. The fundamental theorem of calculus, 1C. The definite integral and its properties, 1D. The indefinite integral, 1E. Finding area by integration, 1F. Area of a compound region, 1G. Volumes of solids of revolution, 1H. The trapezoid rule, 1I. Simpson's rule
Chapter two - The trigonometric functions: 2A. Review of logarithmic and exponential functions, 2B. The exponential function and the definition of e, 2C. Differentiation of exponential functions, 2D. Applications of differentiation, 2E. Integration of exponential functions, 2F. Applications of integration, 2G. The logarithmic function and its derivative, 2H. Applications of differentiation of log x, 2I. Integration of the reciprocal function, 2J. Applications of integration of 1/x
Chapter three - The trigonometric functions: 3A. Radian measure of angle size, 3B. Mensuration of arcs, sectors and segments, 3C. Graphs of the trigonometric functions in radians, 3D. The behaviour of sin x near the origin, 3E. The derivatives of the trigonometric functions, 3F. Applications of differentiation, 3G. Integration of the trigonometric functions, 3H. Applications of integration
Chapter four - Motion: 4A. Average velocity and speed, 4B. Velocity and acceleration as derivatives, 4C. Integrating with respect to time
Chapter five - Rates and finance: 5A. Applications of APs and GPs, 5B. Simple and compound interest, 5C. Investing money by regular instalments, 5D. Paying off a loan, 5E. Rates of change, 5F. Natural growth and decay
Chapter six - Euclidean geometry: 6A. Points, lines, parallels and angles, 6B. Angles in triangles and polygons, 6C. Congruence and special triangles, 6D. Trapezia and parallelograms, 6E. Rhombuses, rectangles and squares, 6F. Areas of plane figures, 6G. Pythagoras' theorem and its converse, 6H. Similarity, 6I. Intercepts on transversals
Chapter seven - Probability: 7A. Probability and sample spaces, 7B. Sample space graphs and tree diagrams, 7C. Venn diagrams and the addition theorem, 7D. Multi-stage experiments and the product rule, 7E. Probability tree diagrams
Answers to exercises
Index.