In this analyticity and Cauchy-Riemann worksheet, students determine the domain of a function, explore its derivatives, and list its component functions. This two-page worksheet contains eleven problems, as well as explanations and...

In this math worksheet, students examine the concepts of algorithms and pseudocodes. Then they use the codes on a computer to execute the algorithms.

In this math worksheet, students examine the examples using the concepts of floating point numbers and round off error. Then they compute the data for the given functions.

In this math worksheet, students examine the concept of floating point arithmetic. They compare the tools of chopping and rounding to measure accuracy.

In this math worksheet, students practice using the program of Matlab and apply them while using functions. They practice writing equations in truncated form.

In this math worksheet, students examine the uses of false position, Newton’s and Secant methods of finding the root of an equation.

For this introduction to root finding worksheet, students write equations to solve distance problems. They explore the bisection method of Bolzano. This four-page worksheet contains approximately ten problems.

In this linear equation worksheet, students use the iterative method to solve systems of equations. Explanations and examples are provided. This four-page worksheet contains approximately three problems.

For this fixed point iteration worksheet, students use given theorems to determine converged functional iteration. This six-page worksheet contains five problems. Explanations and examples are provided.

For this rates of convergence worksheet, students explore examples of linear, superlinear and quadratic convergence of sequences. They solve six problems involving sequence converges. This two-page worksheet contains examples and six...

In this integral worksheet, students evaluate contour integrals and real integrals. This two-page worksheet contains approximately three problems. Some explanations and definitions are provided.

For this residue worksheet, students use the Laurent series formula to compute residues. This two-page worksheet contains five problems.

In this function worksheet, students find the residues of all singularities of a given function. They use Cauchy's Second Residue Theorem to evaluate the functions. This four-page worksheet contains explanations and examples, with...

In this residue theorem learning exercise, students find the poles of a function classify all singularities of a function, and compute the residues of that function. This two-page learning exercise contains explanations and examples, as...

In this linear transformation worksheet, students find a series of linear transformations and sketch them. This four-page worksheet contains approximately six problems.

In this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.

In this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.

In this integration worksheet, students evaluate contour integrals using the parameterization method. They describe various related theorems. This two-page worksheet contains approximately eight problems.

In this Cauchy-Goursat worksheet, students evaluate integrals, sketch the contour and explain the methods used to evaluate the problem. This two-page worksheet contains approximately six problems.

For this complex exponential worksheet, students identify an entire function and explore how to show a function is analytic. This two-page worksheet contains four problems, as well as explanations and examples.

In this graphical representation learning exercise, students draw an Argand diagram depicting two complex numbers in a complex plane. They draw vectors to represent complex numbers. This two-page learning exercise contains five...

In this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.

In this multivariable functions learning exercise, students graph functions and describe the level sets of the function. This two page learning exercise contains approximately ten problems.

In this column space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples of and explanations. One problem is provided for students to complete.