Complex Analysis: Graphical Representations

In this math worksheet, students answer 6 questions regarding functions, graphs, one-sided limits, intercepts, vehicle speed and wheel rotation.

Perform parallel calculations to find equal slopes. Using the formula for the equation of the tangent line to a point, the resource sets out to find two points with a difference of one that have parallel tangent lines.The 25th video in a...

Is there a person on Earth who has the same exact number of body hairs as you? The video describes a process using the Pigeonhole Principle to prove that this is definitely possible. The film goes on to consider other examples and...

Work through an example on slope fields. In a video geared for AP Calculus, viewers watch as an instructor uses a slope field generator to produce a slope field and draws particular solutions for a given differential equation.

Bring it all to three dimensions. The short video points out that the discussion in the previous presentations in two dimensions also holds true for three dimensions. The sixth video in the series of 15 specifically makes the...

Represent complex numbers in two ways. Pupils use the interactive to convert polar and rectangular representations of complex numbers. The learners drag an overlay back and forth over the coordinate plane to reveal the polar coordinates...

Have your aspiring contractors compute the length of two walls in a compound-shaped attic when given a scale drawing of it and the other dimensions. They find the area, determine the number of rolls of insulation they will need to...

Give your future household repair specialists a real-life chance to apply the concepts of ratio and proportion. Using a scale drawing, they calculate the missing dimensions of two walls of a compound-shaped attic. They then figure how...

Using a scale drawing with some dimensions missing, aspiring do-it-yourself homeowners calculate the remaining sides of a compound-shaped room. They apply the principles of ratio and proportion to determine how much crown molding will be...

In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas.  Then, they discuss what makes a solution complex and how to identify functions with complex roots.