This video is from the Khan Academy subject of Math on the topic of Calculus and it covers Limit at a point of discontinuity.

In this lesson, students will learn that math is important in navigation and engineering. Ancient land and sea navigators started with the most basic of navigation equations (Speed x Time = Distance). Today, navigational satellites use equations that take into account the relative effects of space and time. However, even these high-tech wonders cannot be built without pure and simple math concepts basic geometry and trigonometry that have been used for thousands of years. In this lesson, these basic concepts are discussed and illustrated in the associated activities.

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 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.Login: guest_oclPassword: ocl

This site presents three textbooks. PreCalculus Essentials covers the essential material needed to prepare students for calculus. The purpose of this book is to strip away unnecessary topics and to allow for this course to be covered in a more manageable timeframe. PreCalculus Trigonometry covers the trigonometry needed to prepare students for a traditional calculus course. Rather than beginning the study of trigonometry with angles, this text begins with the wrapping function and the trigonometry of numbers. PreCalculus Trigonometry (Angle-First Approach) covers the trigonometry needed to prepare students for a traditional calculus course beginning with the trigonometric functions of angles. This book is similar to books with traditional approaches.

Probability of getting exactly 3 heads in 8 flips of a fair coin.

Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7

Proving an expression for the sum of all positive integers up to and including n by induction

Proof of the law of cosines to solve for a side of a triangle when 2 sides and an angle are known.

This video is from the Khan Academy subject of Math on the topic of Trigonometry and precalculus and it covers Proving a sequence converges.

Students analyze a cartoon of a Rube Goldberg machine and a Python programming language script to practice engineering analysis. In both cases, they study the examples to determine how the different systems operate and the function of each component. This exercise in juxtaposition enables students to see the parallels between a more traditional mechanical engineering design and computer programming. Students also gain practice in analyzing two very different systems to fully understand how they work, similar to how engineers analyze systems and determine how they function and how changes to the system might affect the system.

Working in small groups, students complete and run functioning Python codes. They begin by determining the missing commands in a sample piece of Python code that doubles all the elements of a given input and sums the resulting values. Then students modify more advanced Python code, which numerically computes the slope of a tangent line by finding the slopes of progressively closer secant lines; to this code they add explanatory comments to describe the function of each line of code. This requires students to understand the logic employed in the Python code. Finally, students make modifications to the code in order to find the slopes of tangents to a variety of functions.

This video is from the Khan Academy subject of Math on the topic of Trigonometry and precalculus and it covers Radius and center for a circle equation in standard form.