# MATH1111

Welcome MATH1111 students

On this page you will find materials which we hope will help you in studying MATH1111.

A weekly revision workshop is available for this unit. Please click here for details.

# 'Just in time' Audio Visual Modules

### Week 2

- Week 2 Monday/Tuesday Tutorial

The Sieve of Eratosthenes - Week 2 Thursday/Friday Tutorial

Solving an inequality equation

### Week 3

- Week 3 Monday/Tuesday Tutorial

Factorising a quadratic expression - Week 3 Thursday/Friday Tutorial

Solving a quadratic equation

### Week 4

- Week 4 Monday/Tuesday Tutorial

Revision of the sine, cosine and tangent ratios in a right angled triangle - Week 4 Monday/Tuesday Tutorial

Completing the square and its applications

### Week 5

- Week 5 Monday/Tuesday Tutorial

Sketching quadratics using shifting transformations - Week 5 Thursday/Friday Tutorial

Inverse functions

### Week 6

- Week 6 Monday/Tuesday Tutorial

Solving a cubic polynomial equation using polynomial long division - Week 6 Thursday/Friday Tutorial

Revision of logarithms and comparing logs with different bases

### Week 7

- Week 7 Monday/Tuesday Tutorial

Finding the equation of a straight line through two points - Week 7 Thursday/Friday Tutorial

Revision of derivatives: Differentiating the square root function from first principles and using the power rule

### Week 8

- Week 8 Monday/Tuesday Tutorial

Solving an absolute value inequality - Week 8 Thursday/Friday Tutorial

Revision of limits: extending the domain of a discontinuous function

### Week 9

- Week 9 Monday/Tuesday Tutorial

Revision of composite functions and using the chain rule to differentiate them - Week 9 Thursday/Friday Tutorial

Using the Quotient Rule to differentiate tan x

### Week 10

- Week 10 Monday/Tuesday Tutorial

Using derivatives to sketch a cubic polynomial - Week 10 Thursday/Friday Tutorial

Curve sketching Tips

### Week 11

- Week11 Monday/Tuesday Tutorial

Revison of even and odd functions and some of their properties - Week 11 Thursday/Friday Tutorial

Evaluating the indefinite integral of a simple polynomial

### Week 12

- Week12 Monday/Tuesday Tutorial

Integration by substitution - Week 12 Thursday/Friday Tutorial

Using Riemann sums to approximate a definite integral