The Exponential & Logarithmic Function

New Topic: The Exponential and Logarithmic Functions

By the end of this topic you will be able to:
• recall and use the laws of logarithms
• solve simple exponential and logarithmic equations
• model mathematically situations involving the logarithmic or exponential function

 

Homework: Logs and Exponentials Set1

ALL pupils should be able to Q1

MOST pupils should be able to complete Q2,3

SOME pupils should be able to complete Q4

Due: Will be completed in class

Sequences

 

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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: Recurrence Relations Set1

ALL pupils should be able to Q1-4

MOST pupils should be able to complete Q5

SOME pupils should be able to complete the extension question below

Due: Wednesday 23rd March

 

RecRelExtensionQ

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Integration – Area Between Curves

Area Between Curves – Worksheet

Area Between Curves – Marking Scheme

Integration

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New Topic: Integration

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 1, Further Calculus

ALL pupils should be able to Integration 1 Q1-3, 5

MOST pupils should be able to complete Integration 1 Q4, and Further Calculus Q2-3

SOME : pupils should be able to Integration 1 Q6 and Further Calculus Q7

Due: Thursday 10th March

 

Solutions: Integration 1 Solutions,  Further Calculus – Solutions

Trig Revision

Revision Sheet: Trig Revision

Complete by Thursday 28th February

 

Worked Solutions from class

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Wave Function

 

New Topic: Wave Function

 

Homework: Wave Function Set 3

ALL pupils should be able to Q1-3

MOST pupils should be able to complete Q4 & 5

SOME : pupils should be able to Q6 & 7

Due: Thursday 18th February

 

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Vectors Revision

Vectors Revision

Skills:
• know meaning of terms; vector (column, position, unit), scalar, magnitude, directed line segment, component
• add and subtract vectors and multiply a vector by a scalar
• determine the distance between two points in three dimensions
• determine and solve problems relating to parallel, perpendicular and collinear lines
• use and apply the scalar product

 

Vectors Revision

Vectors Revision Marking Scheme