A Y12 problem-solving class

Let C1 be the curve with equation y = -x2 + 2x and C2 be the curve with equation x2 + y2 = 2. They cut the first quadrant into three bounded regions (and one unbounded one). Calculate the areas of each of the three bounded regions.

two curves

The Year 12 Advanced Problem-Solving course has three aims:

  • the development of students' mathematical thinking;
  • increasing students' confidence in solving unstructured problems;
  • improved preparation for AEA, MAT or STEP the following year.

The problems in the course are based solely on the year 12 AS pure mathematics syllabus. Participating students are expected to solve problems in class on whiteboards or on paper.

The course is free for all sixth-form students. All classes are scheduled 4.30pm to 6pm on the dates in the course schedule. To book places on this course or for further enquiries contact James Cranch at somas-outreach@sheffield.ac.uk (stating that you're a Y12 student, and including which school you're studying at).

Timetable

Subject Date Venue
Algebra 1 Thursday 11th October 2018 Hicks Lecture Theatre 2
Geometry 1 Thursday 25th October 2018 Hicks Lecture Theatre 2
Sequences & Series 1 Thursday 8th November 2018 Hicks Lecture Theatre 5
Differentiation 1 Thursday 22nd November 2018 Hicks Lecture Theatre 2
Algebra 2 Thursday 6th December 2018 Hicks Lecture Theatre 5
Geometry 2 Thursday 20th December 2018 Hicks Lecture Theatre 2
Sequences & Series 2 Thursday 17th January 2019 Hicks K14
Trigonometry Thursday 31st January 2019 Geography Ron Johnston Room
Exponentials & Logarithms Thursday 14th February 2019 9 Mappin St G14
Differentiation 2 Thursday 28th February 2019 9 Mappin St G14
Integration Thursday 14th March 2019 9 Mappin St G14
Algebra 3 Thursday 28th March 2019 9 Mappin St G14