Welcome to the MATH1960 Page.

There will be various handouts throughout the term, including example sheets and their solutions, but if you miss or lose anything you can get a copy here.

If you want to contact the lecturer, email d.j.read@leeds.ac.uk.

Book List

  • S. Salas, E. Hille & G. Etgen, Calculus: one and several variables Wiley (2003) F-0 SAL
    ISBN 0471383759
  • J. Haas & M. Weir, University Calculus Addison-Wesley (2006) F-0 HAA
    ISBN 0321350146
    (A very similar book by the same publisher is Thomas' Calculus ISBN 0321243358).
  • R.T. Smith & R.B. Minton Calculus: Early Transcendental Functions McGraw Hill (2006) F-0 SMI
    ISBN 0071108076
  • R. Ellis & D. Gulick, Calculus with analytic geometry Saunders Publishing Co. (1994) F-0 ELL

Reading list at the library


Exam

The exam will be in the section A-section B format. See the Specimen Exam Paper for an example of this. Note that the questions on this sample paper are taken mostly from past papers and so aren't exactly the right length, but it'll give you an idea of the format. Solutions are also available.


Notes
Chapter 1 Functions, inverses and graph-sketching
Chapter 2 Some functions and their derivatives
Chapter 3 Two more topics in differentiation
Chapter 4 Several-variable calculus
Chapter 5 Integration


Handouts

The first handout introducing the course.
The Appendices.
Notes on functions.
Notes on intervals of the real line.
Graphs of the trigonometric functions.
Notes on hyperbolic functions.
Examples of Taylor series.
Notes on partial derivatives.
Notes on stationary points of a function of two variables.


Example Sheets

Solutions will be made available online one week after the coursework deadline.

Examples 1 Due Tuesday 9th October. Solutions A | B | C
Examples 2 Due Tuesday 23rd October. Solutions A | B | C
Examples 3 Due Tuesday 6th November. Solutions A | B | C
Examples 4 Due Tuesday 20th November. Solutions A | B | C
Examples 5 Due Tuesday 4th December. Solutions A | B | C
Examples 6 Integration exercises - not for handing in. Solutions


Links

Specimen Exam Paper and solutions.

January 2006 Exam Paper and solutions. [NB This paper was, perhaps, a little on the easy side!]

Visual illustrations of the geometric meaning of sine and cosine

The demonstration of sine used in lectures

A tutorial on implicit differentiation from the University of California

A tutorial on reduction formulae for integration from the University of Aberdeen

An entire calculus course available free from MIT

A tutorial on the Method of Lagrange Multipliers

Maths Fun 
Facts


d.j.read@leeds.ac.uk