Calculus with Out-of-This-World Applications

Exploratory projects in Calculus with Early Transcendentals immerse students in challenging, real-world applications of course material. Assign these projects as homework or small group assignments to stimulate discussion and collaboration among your class. In light of the recent SpaceX launch to the International Space Station, consider assigning this project, in which velocity, acceleration, and Newton’s … Continue reading Calculus with Out-of-This-World Applications

Answer Equivalence in Calculus Courseware

We know that oftentimes in calculus, there's more than one way to solve a problem. While some online systems don't allow for multiple correct answers, Hawkes Learning's courseware was built by subject matter experts who painstakingly went through examples to ensure students are given credit for equivalent answers. Marvin, one of our lead calculus content … Continue reading Answer Equivalence in Calculus Courseware

Inside Our Calculus Courseware: Trigonometric Substitutions

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

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