Printed
Advanced Level Pure Mathematics
1 The Theory of Quadratic Equations. Miscellaneous Equations
, 13-22
2 Indices & Logarithms. The Remainder Theorem. The Principle of
Undetermined Coefficients. Partial Fractions , 23-36
3 Arithmetical & Geometrical Progressions. Permutations &
Combinations. The Binomial Theorem , 37-57
4 Trigonometrical Ratios for Any Angle. Graphs of Trigonometri-
cal Ratios. Trigonometrical Equations , 58-74
5 Addition Theorems. Multiple & Sub multiple Angles. Further
Trigonometrical Equations. The Inverse Notation. Small Angles
75-93
6 Relations Between the Sides & Angles of A Triangle. The
Solution of Triangles. Heights & Distances , 94-119
7 Introduction to the Ideas of the Differential Calculus ,120-131
8 Technical Processes in the Differential Calculus , 132-151
9 Some Applications of the Differential Calculus , 152-169
10 Introduction to the Ideas of the Integral Calculus , 170-188
11 Some Methods of Integration , 189-211
12 Some Applications of the Integral Calculus , 212-234
13 The Logarithmic & Exponential Functions , 235-258
14 Coordinates. Lengths of Lines. Areas of Triangles. Loci.
Intersection of Curves , 259-273
15 The Coordinate Geometry of the Straight Line , 274-301
16 The Coordinate Geometry of the Circle , 302-316
17 The Parabola. Ellipse & Hyperbola , 317-343
18 Some Theorems in Pure Geometry , 344-366
19 Elementary Geometry of the Plane & Sphere , 367-394
20 Mensuration of Simple Solid Figures , 395-411
21 Complex Numbers , 412-427
22 Matrices , 428-448
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