Free analytical Tutorials using step by step approach with examples and matched exercises are presented here. Detailed solutions to the examples are also included. Several tutorials have been designed so that they can be used with the applets tutorials in this site.
Applications, Graphs, Domain and Range of Functions
Slopes of Perpendicular Lines Questions. A detailed tutorial on the proof of the fact that two perpendicular lines have slopes such that one is the negative of the reciprocal of the other and also questions with detailed solutions.
Exponential and Logarithmic Functions and Equations
Cramer's Rule to Solve Systems of Equations. A tutorial on proving Cramer's rule for a 2 by 2 systems of linear equations. Presentation of the rule for a 3 by 3 systems of equations. An example on using Cramer's rule is presented.