Curated OER
Interval of Convergence
In this interval instructional activity, learners determine the interval convergence or divergence of a function. In this two-page instructional activity, students complete approximately twelve problems.
Curated OER
Combinations and Functions
In this combinations worksheet, learners determine the number of combinations in a given situation. They explore sets and determine if the relation is reflexive, symmetric or transitive. This one-page worksheet contains seven problems.
Curated OER
Review Questions for Midterm 2
In this review worksheet, learners prove the intersection of finitely of sets, construct increasing functions, and identify characteristics of an open and closed set. This two-page worksheet contains seven problems.
Curated OER
Clarification and Extra Problems for Homework 10: Metric Space
In this metric space instructional activity, students define a compact metric space, and explore continuous functions. They prove a function converges uniformly. This one-page instructional activity contains six problems.
Curated OER
Worksheet 2: Evaluating Functions
In this function instructional activity, students evaluate sums, estimate the area of the region between graphs, estimate the volume of a hemisphere, and use subintervals and the limit definition integrals to evaluate functions. This two...
Curated OER
Worksheet on Power Series
For this function worksheet, students identify the interval of convergence and write differential equations. This two-page worksheet contains five multi-step questions.
Curated OER
Finding Roots and Newton's Method
For this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...
Curated OER
Worksheet 6
In this integral worksheet, students are given 20 short-answer problems regarding integrals, temperature, time, limits, maximum & minimum values.
Curated OER
The Derivative
In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
Curated OER
Limits, Continuity and Differentiability
In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...
Curated OER
New Functions From Old, Part 1
In this function worksheet, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page worksheet...
Curated OER
Challenge Sheet 2: Evaluate Functions
In this function worksheet, students evaluate integrals using the fundamental theorem of calculus. They identify the maxima and minima on intervals. This one-page worksheet contains seven problems.
Curated OER
Indefinite Integral
In this indefinite integral worksheet, students find the indefinite integral and differentiate functions. This one-page worksheet contains ten problems.
Curated OER
Worksheet 1 - Polynomials, Functions, Rates
In this polynomial instructional activity, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring...
Curated OER
Reviewing Functions
In this function activity, students describe a function and write six different ways a function may be modeled. This two-page activity contains eight problems.
Curated OER
Related Functions
In this function worksheet, students discuss how a function would change if it shifted on a graph. They create ten new, related functions. Students identify odd, even and symmetric functions. This two-page worksheet contains examples,...
Curated OER
The Derivative As a Function
In this derivative worksheet, students find the derivatives of given functions and graph a function. They identify the intervals which are increasing, decreasing or remain constant. This two-page worksheet contains approximately twenty...
Curated OER
Maclaurin Series Quiz
In this Maclaurin series worksheet, students use the Maclaurin series to find the first nonzero terms in a function. They estimate the value of a function with a given absolute error. This two-page worksheet contains two multi-step...
Curated OER
Applications of Derivatives: Newton's Method
For this derivative worksheet, students use Newton's Method for finding the roots of a function. They identify the local extrema and discuss ways in which Newton's Method can fail. This one-page worksheet contains four problems.
Curated OER
Functions of Two Variables
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
Curated OER
Discussion Sheet 1: Domain & Range of a Function
In this domain and range learning exercise, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page learning exercise contains nine multi-step...
Curated OER
Differentiability and Linear Approximation
In this linear approximation instructional activity, students determine the derivative of a function and explore properties of the error when using a tangent line to approximate a function graph. This two-page instructional activity...
Curated OER
Discussion Sheet 4: Limits & Differentiation
In this limits and differentiation worksheet, students use the limit definition of a derivative to compute functions, and differentiate functions. They determine the geometric significance of values and identify the sketch of a...
Curated OER
Discussion Sheet 3: Limits
In this limit worksheet, students evaluate limits and use asymptotes and intercepts to sketch graphs of functions. They determine the area of inscribed shapes and use the limit definition of a derivative to differentiate functions. ...