these methods, and provides a fascinating combination of deep and mathematically well-grounded method-building and wide-ranging applied work with data. Mathematics at Cambridge Standard Offer: A*A*A + STEP Successful: 17% Admissions Test: None More information: The Cambridge Mathematics course is often considered to be the most demanding undergraduate Mathematics course available in Britain and, correspondingly, one of the most rewarding. Two other aspects of the course that our students greatly appreciate are its flexibility and the breadth of subjects offered. The amount of choice increases each year and after Year 1 the workload isn’t fixed so you can choose the number of options you study to suit your own work pattern. Some students take as many options as they can; others take fewer and study them very thoroughly. Maths Enrichment Problems Proving Pythagoras’ Theorem In the left figure below, the blue and green regions have been formed by dropping a perpendicular as shown. How are their areas related to the red area in the right figure? How does this result prove Pythagoras's Theorem? Graph Sketching Here are descriptions of eight real-world processes. For each, try to sketch a suitable graph. If you are not familiar with the background science, then try to use what you do know to reason through what a graph might look like. You do not need to calculate or plot exact points, just sketch graphs that give the general shape. As you produce your sketches, make a list of the features that you are considering. Temperature of a cup of tea over Height of the valve on a bicycle tyre as the time. bicycle moves forwards. Height of a tennis ball thrown Distance fallen by a parachutist jumping out straight up and then caught. of a plane.
these methods, and provides a fascinating combination of deep and mathematically well-grounded method-building and wide-ranging applied work with data. Mathematics at Cambridge Standard Offer: A*A*A + STEP Successful: 17% Admissions Test: None More information: The Cambridge Mathematics course is often considered to be the most demanding undergraduate Mathematics course available in Britain and, correspondingly, one of the most rewarding. Two other aspects of the course that our students greatly appreciate are its flexibility and the breadth of subjects offered. The amount of choice increases each year and after Year 1 the workload isn’t fixed so you can choose the number of options you study to suit your own work pattern. Some students take as many options as they can; others take fewer and study them very thoroughly. Maths Enrichment Problems Proving Pythagoras’ Theorem In the left figure below, the blue and green regions have been formed by dropping a perpendicular as shown. How are their areas related to the red area in the right figure? How does this result prove Pythagoras's Theorem? Graph Sketching Here are descriptions of eight real-world processes. For each, try to sketch a suitable graph. If you are not familiar with the background science, then try to use what you do know to reason through what a graph might look like. You do not need to calculate or plot exact points, just sketch graphs that give the general shape. As you produce your sketches, make a list of the features that you are considering. Temperature of a cup of tea over time. Height of the valve on a bicycle tyre as the bicycle moves forwards. Height of a tennis ball thrown straight up and then caught. Distance fallen by a parachutist jumping out of a plane.