College Mathematics Syllabus C (Vol 1)

Description

College Mathematics Syllabus C consists of 2 volumes (College Mathematics 1 and College Mathematics 2) and is a two-year series for 11th and 12th grades. Students in and out of schools can make good use of these books for self study. These two volumes provide a fundamental background knowledge of Mathematics for other College and University courses such as Physical and Biological Sciences, Computer Science, Economics, Management and Social Science, Statistics, Accountancy and Business Studies. This series is deliberately comprehensive, brief and concise. Theorems and definitions are emphasized and there are examples to illustrate each new concept presented and to show different computational techniques involved. This direct approach allows students to grasp basic concepts and techniques clearly and quickly. Exercises form an integral part of the book. They provide an opportunity for students to test their understanding of the concepts learnt and to acquire through practice, confidence in handling computational techniques. Answers to problems are also included. There are no workbooks nor teacher's guides for this college math series. The textbook provides answer keys to the Textbook Exercises. The series covers the following topics: Algebra Complex Numbers Relations and Functions Trigonometry Vectors Matrices and Transformations Differential and Integral Calculus Probability and Statistics Kinematics, Dynamics and Statics Preface......Page 1 Content Page......Page 2 01Preliminaries......Page 3 02AP&GP......Page 14 03Remainder and Factor Theorem......Page 31 04Mathematical Induction......Page 40 05Permutations & Combinations......Page 45 06Partial Fraction & Binomial Theorem......Page 58 07Quadratic Equations......Page 70 08Inequalities......Page 76 09Complex Numbers......Page 88 10Relations & Functions......Page 127 11Trigonometry......Page 160 12Vectors......Page 199 Answers......Page 249 04......Page 254 08......Page 260