New Topic: Wave Function

Homework: Wave Function Set1

Due: Thursday 12th February

🙂

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Posted on Monday 2 February, 2015 by Mr H

New Topic: Wave Function

Homework: Wave Function Set1

Due: Thursday 12th February

🙂

Filed under: Higher | Tagged: Higher, wave function | Leave a comment »

Posted on Monday 15 December, 2014 by Mr H

Posted on Monday 8 December, 2014 by Mr H

New Topic: The Circle, MiA Unit 2 Ch4

By the end of this topic you will:

• know that the equation of the circle centre (a,b) and radius r is (x – a)² + (y – b)² = r²

• know that x² + y² + 2gx + 2fy + c = 0 represents a circle centre (–g, –f) and

radius r = √(g² + f² – c), provided g² + f² – c > 0

• be able to determine the equation of a circle

• be able to solve problems with the intersection of a line and a circle,

and a tangent to a circle

• be able to determine whether two circles touch each other

**Homework:** Circles Set1

**Due:** Tuesday 13th January

🙂

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Posted on Monday 1 December, 2014 by Mr H

New Topic: Compound Angle Formulae, MiA Unit 2 Ch3

By the end of this topic you will be able to:

• know and apply the addition formulae:

sin(A+B) = sinAcosB + cosAsinB

sin(A–B) = sinAcosB – cosAsinB

cos(A+B) = cosAcosB – sinAsinB

cos(A–B) = cosAcosB + sinAsinB

• know and apply the double angle formulae:

sin2A = 2sinAcosA

cos2A = cos2A – sin2A = 2cos2A – 1

• apply trigonometric formulae in solution of geometric problems

• solve trigonometric equations using compound angle formulae

🙂

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Posted on Monday 17 November, 2014 by Mr H

New Topic: Integration, MiA Unit 2 Ch2

By the end of this topic you will be able to:

• know meaning of terms; integral, integrate, constant of integration,

definite integral, limits of integration, indefinite integral, area under curve

• calculate indefinite integrals

• evaluate definite integrals

• determine area between curve y = f(x), x-axis and lines x = a and x = b

• determine area bounded between two curves

• solve differential equations

Homework: Integration Set1

🙂

Filed under: Higher | Tagged: Higher, integration | 2 Comments »

Posted on Monday 10 November, 2014 by Mr H

New Topic: Quadratic Theory, MiA Unit 2 Ch1.2

By the end of this topic you will be able to:

• use the quadratic formula to calculate roots

• know that discriminant of ax² + bx + c = 0 is b² – 4ac

• use discriminant to determine nature of roots of a quadratic

• use discriminant to find condition that the roots of a quadratic are real, equal or unequal

• know condition for tangency; intersection of line and parabola (lines and curves)

• solve quadratic inequalities

• determine a quadratic equation given roots

Homework: Quadratic Theory Set1

🙂

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Posted on Tuesday 4 November, 2014 by Mr H

**New Topic:** Polynomials, MiA Unit 2 Ch1.1

By the end of this topic you will be able to:

• use the Remainder Theorem to find remainder when dividing by x – h

• determine the roots of a polynomial equation

• use the Factor Theorem to determine the factors of a polynomial

f(x) = (2x – 1)(3x + 2)(2x – 5)

**Homework:** Polynomials Set1

🙂

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Posted on Thursday 30 October, 2014 by Mr H

New Topic: Sequences, MiA Higher Ch4

By the end of this topic you will:

• know the terms: sequence, nth term, limit as n tends to

• use u_{n} notation for the nth term of a sequence

• define and interpret recurrence relations of the form u_{n+1} = mu_{n} + c

• know condition for limit of sequence from recurrence relation to exist

• find (where possible) and interpret the limit of a sequence resulting from a recurrence relation in a mathematical model

**Homework:**

**Due:** Recurrence Relations Set1

🙂

Filed under: Higher | Tagged: Higher, recurrence relations, sequences | 2 Comments »

Posted on Thursday 9 October, 2014 by Mr H

New Topic: Differentiation, MiA Higher Ch3

By the end of this topic you will:

• be familiar with the terminology associated with differentiation

• understand the principles of differentiation

• be able to derive the gradient formula of a given function

• be able to calculate the gradient of a tangent to a curve

• be able to use differentiation to solve optimisation problems

**Homework:** Differentiation 1 Set1

**Due:** Thursday 30th October

🙂

Filed under: Higher | Tagged: calculus, differentiation, Higher | Leave a comment »

Posted on Monday 6 October, 2014 by Mr H

Filed under: Higher | Tagged: calculus, derived function, differentiation, Higher | Leave a comment »