MTH125 Supporting Material

Topic	Links
Linear approximation and differentials	Linear approximation overview (MVI_0334.AVI) Linear approximation example 1 (MVI_0335.AVI) Linear approximation example 2 (MVI_0336.AVI) Differentials overview (MVI_0337.AVI)
What derivatives tell us about a function	Increasing and decreasing test (MVI_0343.AVI) The first derivative test (MVI_0345.AVI) Concavity and the second derivative (MVI_0346.AVI) The second derivative test (MVI_0347.AVI)
Newton's method	Newton's method (MVI_0355.AVI) Newton's method example (MVI_0354.AVI)
L'Hospital's rule	Newton's method (MVI_0357.AVI)
Area under a curve	Definition of the area under a curve as a limit (MVI_0359.AVI) Example: computing the lower bound for the area (MVI_0362.AVI) Example: computing the upper bound for the area (MVI_0363.AVI) Example: computing the area as a limit with the squeeze theorem (MVI_0364.AVI) Example: relationship to the antiderivative (MVI_0365.AVI)
The Definite Integral	Definition (MVI_0366.AVI) Existence (MVI_0367.AVI) Some algebraic properties (MVI_0368.AVI) Comparison properties (MVI_0370.AVI)
The Substitution Rule	Definition (MVI_0371.AVI) Example 1 (MVI_0372.AVI) The substitution rule with a definite integral (MVI_0373.AVI) Exmple 2 (MVI_0374.AVI)