Integration

Integration

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

 

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Quadratic Theory

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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Polynomials

keep_calm_polynomials

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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Sequences

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 un notation for the nth term of a sequence

• define and interpret recurrence relations of the form un+1 = mun + 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

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Differentiation

Professor CalculusNew 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

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Sketching the Derived Function

Higher Unit 1 Practice NAB

Distance Between Points

Practice NAB – Unit 1

Supported study Tuesday’s with Mr Mezals

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