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...
Brian McLogan
Pre-Calculus - How to solve using the addition formula of two angles for cosine cos(160)
👉 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
Learn how to add & subtract radical expression by simplifying
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
How to evaluate the difference of two angles for tangent, tan
👉 Learn how to evaluate the tangent of an angle in degrees 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
Adding two vectors and graphing
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
Find the area of a parallelogram using special right triangles
👉 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
Finding the zeros by factoring using the difference of two cubes
👉 Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2)....
Brian McLogan
Determining the sine of the sum of two angles
👉 Learn how to evaluate the sine 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...
Fun Robotics
Summary and Project [Recommendation Systems and Data Analytics, Numpy Library I and II]
Summarize the class and explain the class project
Brian McLogan
How to simplify an expression with factorials
👉 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 sum and measure of an interior angle for a regular pentagon
👉 Learn how to determine the sum of interior angles of a 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
Learn to find the partial sum of a geometric sequence
👉 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
What are the rules of exponents and the most common mistakes with the rules
👉 Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating...
Brian McLogan
Find the partial sum of the 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
Prove by induction the sum formula
👉 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
What is the difference between concave and convex polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which...
Let's Tute
Microsoft Excel Function: Structure, Operators, and Examples
In this Microsoft Excel tutorial, we learn about the structure of Excel functions, including the use of equal sign, function names, opening and closing brackets, and arguments separated by commas. We also explore operators such as...