Brian McLogan
Learning to determine the number of sides of a regular polygon given one interior angle
👉 Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon...
Brian McLogan
Finding the formula for a sequence of terms
👉 Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. To write the explicit formula of...
Brian McLogan
Pre-Calculus - Using the sum formula for cosine to evaluate an angle cos(75)
👉 Learn how to evaluate the cosine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
How to use left hand riemann sum approximation
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Brian McLogan
Finding the resultant vector of the sum of two vectors
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Brian McLogan
Given the number of sides of a regular polygon find the measure of each interior angle
👉 Learn how to determine the measure of the interior angles of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior...
Brian McLogan
Learning how to solve an equation using the sum and difference formulas for sine
👉 Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....
Brian McLogan
What is a factorial
👉 Learn all about factorials. Factorials are the multiplication of a number in descending integer values back to one. Factorials are used often in sequences, series, permutations, and combinations. Factorial quotient expressions are...
Brian McLogan
Finding the formula of alternating signs of a sequence
👉 Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. To write the explicit formula of...
Brian McLogan
Unit 4 trapezoidal sum approximation from a table
👉 Learn how to approximate the integral of a function using the trapezoid area approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Brian McLogan
Learn how to solve a trigonometric equation using sum and difference formulas
👉 Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....
Brian McLogan
How to use special right triangles to determine the area of a parallelogram
👉 Learn all about Area and Perimeter. In this playlist, we will explore how to determine the area and perimeter of 2-dimensional figures. We will also look into combinations of figures. The focus will be on rectangles, squares,...
Brian McLogan
Applying iram to a table of values
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Curated Video
Apache Spark 3 for Data Engineering and Analytics with Python - Aggregations - Min Max Sum SumDistinct AVG
In this session, we will work with the aggregation functions: min, max, sum, sumdistinct, and avg. This clip is from the chapter "Structured API - Spark DataFrame" of the series "Apache Spark 3 for Data Engineering and Analytics with...
Brian McLogan
Find the measure for the sides of an equilateral triangle
👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides...
Brian McLogan
Applying reimann sum for the midpoint rule and 3 partitions
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Brian McLogan
Learn to use induction to prove that the sum formula works for every term
👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, ....
Brian McLogan
Find the sum of a linear equation and square root function to find domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Adding two rational monomials
👉 Learn how to add and subtract rational expressions by applying the rules of exponents. When adding and subtracting rational expressions we need to have common denominators. To obtain common denominators we will need to multiply the...
Brian McLogan
Algebra 2 - How to add two rational monomials by finding the LCM ( 3y/2x^3) + (5z/8xy^2)
👉 Learn how to add and subtract rational expressions by applying the rules of exponents. When adding and subtracting rational expressions we need to have common denominators. To obtain common denominators we will need to multiply the...
Brian McLogan
Writing a proof for an acute triangle
👉 Learn how to write a proof given a triangle. A triangle is a polygon with three sides. A proof is a series of statements and reasons that establishes the truth of a mathematical claim(statement). To write a proof given a triangle, we...
Brian McLogan
How to determine the sum of a infinite geometric series
👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by...
Brian McLogan
Simplifying a factorial divided by another factorial
👉 Learn all about factorials. Factorials are the multiplication of a number in descending integer values back to one. Factorials are used often in sequences, series, permutations, and combinations. Factorial quotient expressions are...