Filed under: National 5, National 5 | Tagged: National 5, revision | Leave a comment »

## 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

Filed under: Higher | Tagged: exponentials, Higher, logarithms | Leave a comment »

## 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 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:** 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

🙂

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

## Integration – Area Between Curves

Area Between Curves – Worksheet

Area Between Curves – Marking Scheme

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## Integration

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

Filed under: Higher | Tagged: Higher, integration | Leave a comment »

## Trig Revision

Revision Sheet: Trig Revision

Complete by Thursday 28th February

Worked Solutions from class

🙂

Filed under: Higher, Higher | Tagged: compound angle formulae, equations, Higher, trigonometry, wave function | Leave a comment »

## 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

🙂

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