These notes are primarily designed as a quick revision aid for the new (post August 2015) SQA Advanced Higher Mathematics Course and cover the units :- Methods in Algebra and Calculus (MAC), Geometry, Proof and Systems of Equations (GPS) and Applications of Algebra and Calculus (Apps).They are also useful for anyone studying the topics.
Contents include :- Applications of differentiation Applications of integration Arithmetic sequences Arithmetic series Asymptotes Binomial Theorem Complex Numbers D'Alembert's ratio test Determinant of a 3x3 matrix Differential Equations Differentiating Inverse functions Differentiation by First Principle Diophantine Equations Direct Proof Factorials First order Differential Equations Gaussian Elimination Geometric sequences Geometric series Integrating inverse trig functions. Integrating rational functions Integration and the Area Function Integration by Parts Integration by substitution Maclaurin's series Matrices Number Bases Number Theory Parametric Equations Power Series Proof by Contrapositive Proof by Induction Quotient Rule Right Hand Screw rule. Second Derivative Sequences and Series Taylor's series The angle between a line and a plane The angle between two planes The Chain Rule The Division Algorithm The Euclidean Algorithm Vector equation of a plane Vectors Volumes of Solid of Revolution
The original PDF has been converted using Kindle Textbook Creator. As such, this book is only available on Fire tablets and free Kindle reading apps for iPads, Android tablets, smartphones, PCs, and Macs.
A revision aid for the SQA Advanced Higher Mathematics course which covers many aspects of first year university maths courses. Topics include : Arithmetic sequences and series, Binomial theory, Calculus , Complex numbers, Functions, Mathematical Proof, Matrices, Number theory, Vectors.