The Derivative of Sine 3.3 So you know the derivative of sine ... Optimization - Elvis the Dog 4.7 Elvis the Calculus Wonderdog! Newton's Method 4.8 A dynamic illustration of Newton's Method for ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

Although calculus has a reputation of being tough, the concept is quite simple. If you have a function that represents something, the derivative of that function describes the rate of change at ...

Some pre-Calculus, derivatives, applications of derivatives, introduction to integration. MT101 (4 hours) Basic integration notions, basic techniques of integration, applications of integration, and ...

where \(t\) is the length of time in seconds since first spotted. The speed is the rate of change between the distance and the time. Remember to calculate a rate of change, we differentiate.

This can solve differential equations and evaluate definite integrals. Applying differential calculus Optimization is used to find the greatest/least value(s) a function can take. This can involve ...

Extends the treatment of engineering mathematics beyond the topics covered in Calculus 3 and differential equations. Topics include non-dimensionalization, elementary asymptotics and perturbation ...

Vectors and vector-valued functions, the dot and cross products, curves in space and the calculus of vector-valued functions. Multi-variable functions, limits, continuity, and differentiation. Partial ...

Provides a review of pre-calculus algebra and trigonometry integrated with the first half of Calculus I: limits, continuity, derivatives, basic derivative formulas, chain rule, implicit ...