The word “Trigonometric” by itself scares students. Combining it with “Substitutions and Evaluation” is downright terrifying. After all, the student must select the appropriate substitution, transform the integrand from an algebraic to a trigonometric expression, make the appropriate change in limits of integration (or rewrite their antiderivative in terms of the original variable), and finally … Continue reading Inside Our Calculus Courseware: Trigonometric Substitutions

# Calculus

# Inside Our Calculus Courseware: Convergence Tests

The sheer amount of convergence tests can overwhelm students. Our courseware breaks down the information for students and provides error-specific feedback through the Explain Error tool. Explain Error is available in the Practice mode to anticipate and diagnose common errors. When a student makes a mistake, the courseware shows them specifically where and how they … Continue reading Inside Our Calculus Courseware: Convergence Tests

# Inside Our Calculus Courseware: Integration by Parts

The integration by parts method is not straightforward. It requires some thought, and the student must make two initial choices. Successfully working the exercises demands these choices be wise ones. And it may be necessary to repeat the process. Students often think they’ve failed if one application doesn’t yield the solution. Sample Problem #1 Below … Continue reading Inside Our Calculus Courseware: Integration by Parts

# Stop Cheating on Calculus Homework

2 Advantages of Homework Software Learning math requires the repetition of solving problems until the concept is learned. Consider two advantages of software over a traditional paper-and-pencil approach: Eliminate cheating by copying out of the back of the book. Software has the ability to provide students with their own unique homework assignments with algorithmically generated questions. … Continue reading Stop Cheating on Calculus Homework

# Reducing Algebra as a Calculus Pain Point

Time and time again, we hear from calculus professors across the country that one of the biggest issues in their classes is students remembering the building blocks of algebra. Here are a few suggestions to help ensure students have the basics mastered: Consider diagnostic testing. Identify students who have skill gaps, then provide them with supplemental … Continue reading Reducing Algebra as a Calculus Pain Point

# Step-by-Step Tutor Helps Students Break Down Calculus Problems into Manageable Pieces

Calculus is a beautifully intricate subject. Sometimes, though, when it gets a little too intricate, students struggle with how to begin solving a complicated problem. That's where the student-favorite tool, Step-by-Step, helps out. Step-by-Step breaks down each question into manageable steps for students to solve. The system shows students how to get started and guides … Continue reading Step-by-Step Tutor Helps Students Break Down Calculus Problems into Manageable Pieces