'Western australian mathematics curriculum' presentation slideshows

PERMUTATIONS

COUNTING TECHNIQUES. PERMUTATIONS. AND. COMBINATIONS. Computer Science, Statistics and Probability all involve counting techniques which are a branch of mathematics called combinatorics (ways to combine things). We'll be introducing this topic in this section.

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Relations And Functions

Relations And Functions. A relation is a set of ordered pairs. The domain is the set of all x values in the relation. domain = {-1,0,2,4,9}. These are the x values written in a set from smallest to largest. This is a relation. {(2,3), (-1,5), (4,-2), (9,9), (0,-6)}.

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PERMUTATIONS

COUNTING TECHNIQUES. PERMUTATIONS. AND. COMBINATIONS. Computer Science, Statistics and Probability all involve counting techniques which are a branch of mathematics called combinatorics (ways to combine things). We'll be introducing this topic in this section.

517 views • 19 slides

Relations And Functions

Relations And Functions. A relation is a set of ordered pairs. The domain is the set of all x values in the relation. domain = {-1,0,2,4,9}. This is a relation. {(2,3), (-1,5), (4,-2), (9,9), (0,-6)}. {( 2 ,3), ( -1 ,5), ( 4 ,-2), ( 9 ,9), ( 0 ,-6)}.

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Relations And Functions

Relations And Functions. A relation is a set of ordered pairs. The domain is the set of all x values in the relation. domain = {-1,0,2,4,9}. These are the x values written in a set from smallest to largest. This is a relation. {(2,3), (-1,5), (4,-2), (9,9), (0,-6)}.

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Integration by Parts

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VECTORS

VECTORS. A vector is a quantity that has both magnitude and direction. It is represented by an arrow. The length of the vector represents the magnitude and the arrow indicates the direction of the vector. Blue and orange vectors have same magnitude but different direction.

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Logarithmic and Exponential Equations

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Properties of Logarithms

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Dividing Polynomials

Dividing Polynomials. divisor. Dividing by a Monomial. If the divisor only has one term, split the polynomial up into a fraction for each term. Now reduce each fraction. 3 x 3. 4 x 2. x. 2. 1. 1. 1. 1. Long Division. Now multiply by the divisor and put the answer below.

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Finding the Distance Between Two Points

Finding the Distance Between Two Points. (-6,4). (1,4). -7. -2. -1. 1. 3. 5. 7. -6. -5. -4. -3. 0. 4. 6. 8. 2. Let's find the distance between two points. 7 units apart. 8. 7. 6. So the distance from (-6,4) to (1,4) is 7. 5. 4. 3. 2. 1. -2. -3. -4. -5. -6. -7.

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Abraham de Moivre (1667 - 1754)

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Equations in Quadratic Form

Equations in Quadratic Form. The " u " Substitution Method. Before we solve the above equation, let's solve a quadratic equation that we know how to solve. Factor. Set each factor = 0 and solve. Let's use this to solve the original equation by letting u = x 2.

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Separable Differential Equations

Separable Differential Equations. Separable Differential Equations. A separable differential equation can be expressed as the product of a function of x and a function of y. Example:.

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Equations in Quadratic Form

Equations in Quadratic Form. The " u " Substitution Method. Before we solve the above equation, let's solve a quadratic equation that we know how to solve. Factor. Set each factor = 0 and solve. Let's use this to solve the original equation by letting u = x 2.

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SIMPLE AND COMPOUND INTEREST

SIMPLE AND COMPOUND INTEREST. Since this section involves what can happen to your money, it should be of INTEREST to you!. 100. IMPLE INTEREST FORMULA. Annual interest rate. Interest paid. I = PRT. Time (in years). Principal (Amount of money invested or borrowed). 100.

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Integration by Substitution

Integration by Substitution. The chain rule allows us to differentiate a wide variety of functions, but we are able to find antiderivatives for only a limited range of functions? We can sometimes use substitution or change of variable to rewrite functions in a form that we can integrate.

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Surd or Radical Equations

Surd or Radical Equations. To solve an equation with a surd. First isolate the surd. + 3. + 3. This means to get any terms not under the square root on the other side of the equal sign. 2. 2. Now square both sides.

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