This course will cover families of trigonometric functions, their inverses, properties, graphs, and applications. Additionally we will study trigonometric equations and identities, the laws of sines and cosines, polar coordinates and graphs, parametric equations and elementary vector operations.
This video is from the Khan Academy subject of Math on the topic of Calculus and it covers Optimizing box volume analytically.
This video is from the Khan Academy subject of Math on the topic of Calculus and it covers Optimizing box volume graphically.
This video is from the Khan Academy subject of Math on the topic of Calculus and it covers Optimizing profit at a shoe factory.
Determining the proper orientation of a boundary given the orientation of the normal vector
Determining the proper orientation of the boundary given the orientation of the surface
Understanding how to parametrize a reverse path for the same curve.
This video is from the Khan Academy subject of Math on the topic of Calculus and it covers Part 2 of shell method with 2 functions of y.
Doing some hairy algebra and arithmetic to evaluate the definite integral from the last video
Partial Derivatives of Vector-Valued Functions
Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent
Using a position vector valued function to describe a curve or path
This video is from the Khan Academy subject of Math on the topic of Calculus and it covers Power Rule.
Open source precalculus textbook.
From the preface, "These are notes for a course in precalculus, as it is taught at New York City College of Technology - CUNY (where it is offered under the course number MAT 1375). Our approach is calculator based. For this, we will use the currently standard TI-84 calculator, and in particular, many of the examples will be explained and solved with it. However, we want to point out that there are also many other calculators that are suitable for the purpose of this course and many of these alternatives have similar functionalities as the calculator that we have chosen to use. An introduction to the TI-84 calculator together with the most common applications needed for this course is provided in appendix A. In the future we may expand on this by providing introductions to other calculators or computer algebra systems."
Precalculus 1 & 2 / Trigonometry provides a study of functions and their graphs, including polynomial, rational, exponential, and logarithmic functions. Additionally, right-triangle trigonometry, trigonometric functions and their applications are covered.
This video is from the Khan Academy subject of Math on the topic of Calculus and it covers Product rule for more than two functions.
This video is from the Khan Academy subject of Math on the topic of Calculus and it covers Proof of Fundamental Theorem of Calculus.
This video is from the Khan Academy subject of Math on the topic of Calculus and it covers Proof of special case of L'Hopital's Rule.
This video is from the Khan Academy subject of Math on the topic of Calculus and it covers Proving a limit using epsilon-delta definition.