in this math learning exercise, students practice finding the determinant for each matrix. Then they use the solutions to develop a hypothesis for the determinants.

In this harmonic function worksheet, students use the Cauchy-Riemann equations to find the imaginary part of the function. They explore the harmonic conjugate and solve a 2-dimensional Laplace equation. This two-page worksheet contains...

In this function learning exercise, students solve complex exponential and logarithm functions. This two-page learning exercise contains approximately six problems.

For this Cauchy's Residue Theorem, students use the theorem to solve given functions. They evaluate integrals. This two-page worksheet contains two problems.

In this integral formula worksheet, students find the area of odd shapes by using the contour integration formula. They compute the area enclosed by an ellipse. This two-page worksheet contains three problems.

In this contour integration worksheet, students compute the value of integrals, sketch the contour and list the parameterization used. This two-page worksheet contains three problems.

Pupils discover how to recognize tangents and how to use their properties. They investigate and use the properties of angles, arcs, chords, tangents, and secants. Students use two tangents and the properties of similar triangles to...