1.1 Generalities on sequences
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Table of contents
- 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 1: End unit assessment quizzes
- 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 6: End unit assessment quizzes
- 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
- Unit 7: End unit assessment quizzes
- 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
- Unit 8: End unit assessment quizzes