|
 Y2 Mathematics SB SME |
|
|
| UNIT 1: SEQUENCES AND SERIES |
 1.0 Introductory activity |
|
|
1.1 Generalities on sequences |
|
|
1.2 Convergent or divergent sequences |
|
|
1.3 Monotonic sequences |
|
|
1.4 Arithmetic sequences |
|
|
1.5 Arithmetic Means of an arithmetic sequence |
|
|
1.6 Arithmetic series |
|
|
1.7 Harmonic sequences |
|
|
1.8 Generalities on geometric sequences |
|
|
1.9 Geometric means |
|
|
1.10 Geometric series |
|
|
1.11 Infinity geometric series |
|
|
1.12 Application of sequences in real life |
|
|
1.13 End unit assessment |
|
|
| UNIT 2: POINTS, STRAIGHT LINES AND PLANES IN 3D |
2.0 Introductory activity |
|
|
2.1 Points in 3D |
|
|
2.2 Straight lines in 3D |
|
|
2.3 Planes in 3D |
|
|
2.4 End unit assessment |
|
|
| UNIT 3: TRIGONOMETRIC EQUATIONS |
3.0 Introductory activity |
|
|
3.1 Transformation formulas |
|
|
3.2 Trigonometric equations |
|
|
3.3 Applications of trigonometric equations |
|
|
3.4 End unit assessment |
|
|
| UNIT 4: BIVARIATE STATISTICS |
4.0 Introductory activity |
|
|
4.1 Bivariate data, scatter diagram and types of correlation |
|
|
4.2 Covariance |
|
|
4.3 Coefficient of correlation |
|
|
4.4 Regression lines |
|
|
4.5 Interpretation of statistical data (Application) |
|
|
4.6 End unit assessment |
|
|
| UNIT 5: POLYNOMIAL, RATIONAL AND IRRATIONAL FUNCTIONS |
5.0 Introductory activity |
|
|
5.1 Types of functions |
|
|
5.2 Injective, surjective and bijective functions |
|
|
5.3 Domain and range of a numerical function |
|
|
5.4 Even functions and odd functions |
|
|
5.5 End unit assessment |
|
|
| UNIT 6: LIMITS OF POLYNOMIAL, RATIONNAL AND IRRATIONAL FUNCTIONS |
6.0 Introductory activity |
|
|
6.1 Concepts of limits |
|
|
6.2 Graphical interpretation and one sided limits of a function |
|
|
6.3 Finite and infinite limits |
|
|
6.4 Infinity limits and rational functions |
|
|
6.5 Limits of functions with indeterminate cases |
|
|
6.6 Graphs and limits of function |
|
|
6.7 Applications of limits in mathematics |
|
|
6.8 Asymptotes to curve of a function |
|
|
6.9 Vertical asymptote, horizontal and oblique asymptotes |
|
|
6.10 Real life problems about limits |
|
|
6.11 End unit assessment |
|
|
| UNIT 7: DIFFERENTIATION OR DERIVATIVE OF NUMERICAL FUNCTIONS |
7.0 Introductory activity |
|
|
7.1 Concepts of derivative of a function |
|
|
7.2 Rules of differentiation |
|
|
7.3 Differentiation of trigonometric functions |
|
|
7.4 Differentiation of inverse trigonometric function |
|
|
7.5 Derivative and the variation of a function |
|
|
7.6 Concavity of a function |
|
|
7.7 Derivative and the table of variation for a function |
|
|
7.8 Derivative and limit with indeterminate cases: Hospital’s rule |
|
|
7.9 Derivative, tangent line equation and normal line equation |
|
|
7.10 Applications of differentiation in economics and finance |
|
|
7.11 Applications of differentiation: rates of change problems, optimization problems |
|
|
7.12 End unit assessment |
4. a), 11. a., and 12. b. are not included in this paper. These questions do not need to be answered because it is difficult to answer them with the information in the textbook at this time. |
|
| UNIT 8: MATRICES OF ORDER 2 AND ORDER 3 |
8.0 Introduction activity |
|
|
8.1 Definition and order of matrix |
|
|
8.2 Operations on matrices |
|
|
8.3 Transpose of matrix and matrix of linear transformation in 3D |
|
|
8.4 Determinants and inverse of matrices of order two and three |
|
|
8.5 Applications of matrices and determinants |
|
|
8.6 End unit assessment |
|
