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.

Timetable

Subject Date Venue
Algebra 1 Thursday 20th October 2016 Bartolomé House EG03
Geometry 1 Thursday 3rd November 2016 Bartolomé House EG03
Sequences & Series 1 Thursday 17th November 2016 Bartolomé House EG03
Differentiation 1 Thursday 1st December 2016 Bartolomé House EG03
Algebra 2 Thursday 15th December 2016 Bartolomé House EG03
Geometry 2 Thursday 5th January 2017 Bartolomé House EG03
Sequences & Series 2 Thursday 19th January 2017 Bartolomé House EG03
Trigonometry Thursday 2nd February 2017 Bartolomé House EG03
Exponentials & Logarithms Thursday 16th February 2017 Bartolomé House EG03
Differentiation 2 Thursday 2nd March 2017 Bartolomé House EG03
Integration Thursday 16th March 2017 Bartolomé House EG03
Algebra 3 Thursday 30th March 2017 Bartolomé House EG03