Note: The majority of the Mathematical Concepts tutorials (listed below) include a number of practice questions at the end of the tutorial.
Specific Calculations Determination of %Yield • Solution Make-up & Dilution • Unit Conversions • Rearranging & Linearising Equations Functions Definition • Powers, Exponentials & Logarithms • Manipulation of Powers • Relationship between Logarithms and Exponentials • Manipulation of Logarithms • Trigonometric Functions • Trigonometric Identities • Use of Trigonometric Identities in Calculations Calculus: Differentiation Background • Rates of Change • Formal Derviation of the Magic Formula • Stationary Points • Function of a Function, Products & Quotients • Non-Polynomial Functions • Summary • Practice Exercises Calculus: Integration Introduction • Indefinite Integrals • Operation on Integrals • Definite Integrals • Integration of a Function of a Function • Practice Exercises Matrices Dimensions • Multiplication by a Constant, Addition & Subtraction • Multiplication of Matrices • Transpose • Determinant • Cofactor • Inverse • Using Matrices to Solve Simultaneous Equations • Practice Exercises Vectors Introduction • Notation • Cartesian Components • Adding/Subtracting Vectors • The Dot Product • The Cross Product • Practice Exercises Complex Numbers Imaginary Numbers • Complex Numbers • Addition/Subtraction • Multiplication • Complex Conjugates • Division using Complex Conjugates • The Argand Diagram • Polar Representation • The Exponential Form • Converting between Different Forms • Practice Exercises