Here are examples from M136 tutorials
Tutorial Topic One Revision, Indices, solving square root problems ie Ö126, rationalising ‘opposite sign one’
Tutorial Topic Two Algebra, powers (m^{2} n^{2} /z n^{4} m^{7} )^{4}, Equations of Straight lines, using two points, and point/intercept and gradient, perpendicular and parallel lines
Tutorial Topic Six Continuity of a function and piecewise functions the ones where the equation changes for different values of x
Tutorial Topic Seven Differentiation from First Principles, Basic differentiation in Product/Quotient Rules Displacement, Velocity and Acceleration
Tutorial Topic Nine Implicit Differentiation differentiating with respect to another letter when you have two or more letters i.e. dy/dt du/dx
Tutorial Topic Ten Related rates, differentiating with respect to time
Tutorial Topic Ten plus Differentials dy/dx = dy/dx and Linear Approximations f(x + dx ) = f '^{ }(x) dx + f(x)
Tutorial Topic Eleven Differentiation Max, Min, Inc, Dec, Concavity etc
Tutorial Topic Fourteen Vectors resultant vectors, adding vectors, angles between vectors
Tutorial Topic Fifteen Ships Colliding or not
Tutorial Topic Seventeen Matrices adding/subtracting, multiplication, Inverse of 2 x 2, Row elimination, solving equations x 3y+ z =9 2x 3y+ 4z =19 2x 3z=2
