Introduction to Algebra and Calculus

Breakdown of Lectures:

Algebra:
[3] Partial fractions, arithmetic and geometric progression, binomial theorem, series.
[2] Revision of simple trigonometric functions, simple relationships and inverse functions.
[6] Matrices and algebraic rules. Determinants and Inverses. Solution of simultaneous linear equations.
Calculus:
[6] Differentiation from first principles, derivatives of trigonometric and inverse trigonometric functions. Further differentiation of products, quotients and composite functions.
[5] Integration by substitution and by parts. First order differential equations.

Course Webpage, Lecture Notes, Problem Sheets and Coursework

Other On-Line Mathematical Materials:

Nordstrand's Gallery of surfaces
Mathematical Biographies for a list of great mathematicians and their biographies.
Mathematical Formulae and Tables (PDF format).
Mathematical Abbreviations (PDF format).
Basic and C Programs for solving algebraic equations, ODEs and PDEs (HTML format).
Elementary Curves and Surfaces (PDF format).
Beginning Mathematica.
Back to Dodson's homepage
General Mathematica information: Mathematica website.

C.T.J. Dodson
Sun Jul 14 19:38:00 EDT 1996