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 5th October 2017 Hicks Lecture Theatre D
Geometry 1 Thursday 19th October 2017 Hicks Lecture Theatre D
Sequences & Series 1 Thursday 2nd November 2017 Hicks Lecture Theatre D
Differentiation 1 Thursday 16th November 2017 Hicks Lecture Theatre D
Algebra 2 Thursday 30th November 2017 Hicks Lecture Theatre D
Geometry 2 Thursday 14th December 2017 Hicks Lecture Theatre D
Sequences & Series 2 Thursday 18th January 2018 Hicks K14
Trigonometry Thursday 1st February 2018 Hicks Lecture Theatre A
Exponentials & Logarithms Thursday 15th February 2018 Hicks Lecture Theatre A
Differentiation 2 Thursday 1st March 2018 Hicks K14
Integration Thursday 15th March 2018 Hicks K14
Algebra 3 Thursday 29th March 2018 Hicks K14