Key Features:
- Contains Over 1500 Fully Solved Questions
- No of Pages: 432
- Well Detailed Explanation of Listed Topics
Table of Content:
PART I Review of Algebra..................1
1. Elements of Algebra.................. 3
2. Functions..................8
3. Graphs of Functions ..................13
4. Linear Equations ..................19
5. Simultaneous Linear Equations.................. 24
6. Quadratic Functions and Equations.................. 33
7. Inequalities ..................42
8. The Locus of an Equation ..................47
9. The Straight Line ..................54
10. Families of Straight Lines ..................60
11. The Circle ..................64
PART II Topics in Discrete Mathematics.................. 73
12. Arithmetic and Geometric Progressions.................. 75
13. Infinite Geometric Series.................. 84
14. Mathematical Induction..................88
15. The Binomial Theorem.................. 92
16. Permutations.................. 98
17. Combinations ..................104
18. Probability.................. 109
19. Determinants of Orders Two and Three ..................117
20. Determinants of Order n ..................122
21. Systems of Linear Equations.................. 129
22. Introduction to Transformational Geometry.................. 136
PART III Topics in Precalculus ..................153
23. Angles and Arc Length.................. 155
24. Trigonometric Functions of a General Angle ..................161
25. Trigonometric Functions of an Acute Angle.................. 169
26. Reduction to Functions of Positive Acute Angles.................. 178
27. Graphs of the Trigonometric Functions ..................183
28. Fundamental Relations and Identities.................. 189
29. Trigonometric Functions of Two Angles.................. 195
30. Sum, Difference, and Product Formulas.................. 207
31. Oblique Triangles ..................211
32. Inverse Trigonometric Functions.................. 222
33. Trigonometric Equations ..................232
34. Complex Numbers.................. 242
35. The Conic Sections.................. 254
36. Transformation of Coordinates ..................272
37. Points in Space.................. 283
38. Simultaneous Equations Involving Quadratics ..................294
39. Logarithms.................. 303
40. Power, Exponential, and Logarithmic Curves.................. 307
41. Polynomial Equations, Rational Roots.................. 312
42. Irrational Roots of Polynomial Equations.................. 319
43. Graphs of Polynomials ..................329
44. Parametric Equations 336
PART IV Introduction to Calculus ..................343
45. The Derivative.................. 345
46. Differentiation of Algebraic Expressions.................. 355
47. Applications of Derivatives ..................360
48. Integration ..................371
49. Infinite Sequences.................. 377
50. Infinite Series ..................383
51. Power Series.................. 389
52. Polar Coordinates.................. 394
APPENDIX A Introduction to the Graphing Calculator.................. 410
APPENDIX B The Number System of Algebra.................. 414
APPENDIX C Mathematical Modeling..................421
INDEX ..................424
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