Calculus Laboratory Instructions - ORU

Preface

This Laboratory Instructions book is designed specifically for the Calculus class at Oral Roberts University.

In this course, students will utilize Maxima-CAS software for each lab session. Maxima-CAS is a powerful tool for solving calculus problems computationally, offering an alternative and efficient approach, especially for those students who may still find algebra challenging. Through this software, students will not only enhance their problem-solving skills but also benefit from the visualizations that can make complex concepts more comprehensible.

By integrating computational methods into the study of calculus, this book aims to bridge the gap between theoretical understanding and practical application. Students will have the opportunity to see calculus in action, fostering a deeper grasp of the material. This approach also aligns with the broader goals of modern education, where technology plays a pivotal role in learning and comprehension.

We hope that this resource will support your learning journey, making calculus more accessible, engaging, and ultimately, more enjoyable.

Plot example

(%i1) plot2d([x^2,x^2*sin(1/x),-x^2],[x,-.1,.1]);

Factoring a cubic

(%i2) f: x^3+2*x^2-x-2$
(%i3) factor(f);

(%o3) (x-1)*(x+1)*(x+2)

Solving a system of equations

(%i4) eq1: x+y=2$
(%i5) eq2: 2*x-y=2$
(%i6) solve([eq1,eq2],[x,y]);

(%o6) [[x = 4/3,y = 2/3]]