Feel free to use these tutorials and solutions as additional material for your mathematics course.

The solutions presented only give an outline. If you encounter problems while working through the tutorial sheets with outline solutions, we strongly recommend seeking further help from Mathscope. **Remember, it's what we are here for! **

Tutorial Solutions are normally only accessible when you are logged on to a University of Salford machine.

## Mathematical Modules

### Arithmetic,Algebra and Functions

- Tutorial 1 - Sheet 1 ( Solutions )
- Tutorial 1 - Sheet 2 ( Solutions )
- Tutorial 1 - Sheet 3 ( Solutions )
- Tutorial 2 ( Solutions )
- Tutorial 3 - Sheet 1 ( Solutions )
- Tutorial 3 - Sheet 2 ( Solutions )
- Tutorial 4 - Sheet 1 ( Solutions )
- Tutorial 4 - Sheet 2 ( Solutions )
- Tutorial 4 - Sheet 3 ( Solutions )
- Tutorial 5 ( Solutions )

### Differential and Integral Calculus

- Tutorial 0 - Introduction
- Tutorial 1 ( Solutions )
- Tutorial 2 ( Solutions )
- Tutorial 3 ( Solutions )
- Tutorial 4 ( Solutions )
- Tutorial 5 ( Solutions )
- Tutorial 6 ( Solutions )
- Tutorial 7 ( Solutions )
- Tutorial 8 ( Solutions )
- Tutorial 9 ( Solutions )
- Tutorial 10 ( Solutions )
- Tutorial 11 ( Solutions )

### Group 1

- Tutorial 0:Revision of Matrix Algebra ( Solutions )
- Tutorial 1:Matrix algebra ( Solutions )
- Tutorial 2:Matrix algebra (Solutions)
- Tutorial 3:Matrix algebra (Solutions)
- Tutorial 4:Laplace transforms (Solutions)
- Tutorial 5:Partial differentiation (Solutions)
- Tutorial 6:Periodic functions (Solutions)
- Tutorial 7:Fourier series (Solutions)
- Tutorial 8:The wave equaiton (Solutions)
- Specimen Exam Paper
- Specimen Exam Paper

### Group 2

- Tutorial 1 - Revision of differentiation (Solutions)
- Tutorial 2 - First order linear differential equations (Solutions)
- Tutorial 3 - Further first order linear differential equations (Solutions)
- Tutorial 4 - The Euler method (Solutions)
- Tutorial 5 - First order differential equations and the Euler method (Solutions)
- Tutorial 6 - Second order differential equations (Solutions)
- Tutorial 7 - Further second order differential equations (Solutions)
- Tutorial 8 - Laplace transforms (Solutions)
- Tutorial 9 - Solutions of O.D.E.'s using Laplace Transforms (Solutions)
- Tutorial 10 - Systems of first order differential equations and Fourier Series (Solutions)

### Group 3

- Tutorial 1 - Ordinary differential equations 1 (Solutions)
- Tutorial 2 - Ordinary differential equations 2 (Solutions)
- Tutorial 3 - Ordinary differnetial equations 3 (Solutions)
- Tutorial 4 - Ordinary differential equations 4 (Solutions)
- Tutorial 5 - Laplace transforms (Solutions)
- Tutorial 6 - Laplace transforms ii
- Tutorial 7a - Periodic functions (Solutions)
- Tutorial 7 - Fourier series (Solutions)
- Tutorial 8 - Partial differentiation - revision (Solutions)

Eventually we hope to be able to present online copies of tutorial sheets and outline solutions to all the mathematical modules taught at the university.

If you find any errors in the tutorial sheets or solutions, please let us know.