Maths Support: Linear equations

Solving simultaneous equations using the elimination method and substitution method, linear and quadratic simultaneous equations. (Integral for HE)
You will need to register for an Integral for HE account to access this resource.

Solving equations with one unknown, solutions to linear equations, multi-step linear inequalities, compound inequalities, modelling with linear equations and inequalities, absolute value equations. (Khan Academy)

Intercepts, slope, graphing from slope, horizontal and vertical lines, slope-intercept form, point-slope form, writing linear equations in any form, equations of parallel and perpendicular lines. (Khan Academy)

Covers: Terminology used for differential equations, using differential equations in modelling, about general and particular solutions, using the method of separation of variables to solve first order differential equations where appropriate. (Integral for HE)
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Identifying differential equations where the integrating factor method is appropriate, and to rearrange such equations if necessary, finding an integrating factor and understand its significance in the solution of an equation, solving an equation using an integrating factor and find both general solutions and particular solutions. (Integral for HE)
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Solving second order homogeneous differential equations with constant coefficients, using the auxiliary equation method, how the nature of the roots of the auxiliary equation determines the form of the solution to the differential equation, recognising and solve the equation for simple harmonic motion, identifying the period and amplitude of simple harmonic motion, about damped oscillations, and the meaning of overdamping, underdamping and critical damping. (Integral for HE)
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Solving non-homogeneous second order differential equations with constant coefficients, the complementary function and the particular integral, finding particular integrals involving polynomial, exponential or trigonometric functions, dealing with cases where the form of the complementary function affects the form required for the particular integral. (Integral for HE)
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Solving a pair of first order simultaneous linear differential equations, working with applications, such as predator-prey models, which lead to coupled first order linear differential equations. (Integral for HE)
You will need to register for an Integral for HE account to access this resource.