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Mathematics SME Y2

Topic outline

General
- Special review quiz 1
  
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- Announcements Forum
- Y2 Mathematics SB SME File
- Y2SME END UNITS MONTH ASSESSMENT TEST Quiz
  
  Opened: Saturday, 16 November 2024, 2:30 PM
  
  Closes: Monday, 25 November 2024, 9:42 PM
  
  INSTRUCTION:
  Read Each Question Carefully
  Answer All Questions
  Please Manage Your Time well
  Remember to Submit Your Quiz
  Check the feedback provided for each question
UNIT 1: SEQUENCES AND SERIES
- 1.0 Introductory activity Page
  
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- 1.1 Generalities on sequences Page
  
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- 1.2 Convergent or divergent sequences Page
  
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- 1.3 Monotonic sequences Page
  
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- 1.4 Arithmetic sequences Page
  
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- 1.5 Arithmetic Means of an arithmetic sequence Page
  
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- 1.6 Arithmetic series Page
  
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- 1.7 Harmonic sequences Page
  
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- 1.8 Generalities on geometric sequences Page
  
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- 1.9 Geometric means Page
  
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- 1.10 Geometric series Page
  
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- 1.11 Infinity geometric series Page
  
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- 1.12 Application of sequences in real life Page
  
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- 1.13 End unit assessment Page
  
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- Unit 1: End unit assessment quizzes
  
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UNIT 2: POINTS, STRAIGHT LINES AND PLANES IN 3D
- 2.0 Introductory activity Page
  
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- 2.1 Points in 3D Page
  
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- 2.2 Straight lines in 3D Page
  
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- 2.3 Planes in 3D Page
  
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- 2.4 End unit assessment Page
  
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- Unit 2: End unit assessment quizzes
  
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UNIT 3: TRIGONOMETRIC EQUATIONS
- 3.0 Introductory activity Page
  
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- 3.1 Transformation formulas Page
  
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- 3.2 Trigonometric equations Page
  
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- 3.3 Applications of trigonometric equations Page
  
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- 3.4 End unit assessment Page
  
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- Unit 3: End unit assessment quizzes
  
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UNIT 4: BIVARIATE STATISTICS
- 4.0 Introductory activity Page
  
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- 4.1 Bivariate data, scatter diagram and types of correlation Page
  
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- 4.2 Covariance Page
  
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- 4.3 Coefficient of correlation Page
  
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- 4.4 Regression lines Page
  
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- 4.5 Interpretation of statistical data (Application) Page
  
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- 4.6 End unit assessment Page
  
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- Unit 4: End unit assessment quizzes
  
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UNIT 5: POLYNOMIAL, RATIONAL AND IRRATIONAL FUNCTIONS
- 5.0 Introductory activity Page
  
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- 5.1 Types of functions Page
  
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- 5.2 Injective, surjective and bijective functions Page
  
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- 5.3 Domain and range of a numerical function Page
  
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- 5.4 Even functions and odd functions Page
  
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- 5.5 End unit assessment Page
  
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- Unit 5: End unit assessment quizzes
  
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UNIT 6: LIMITS OF POLYNOMIAL, RATIONNAL AND IRRATIONAL FUNCTIONS
- 6.0 Introductory activity Page
  
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- 6.1 Concepts of limits Page
  
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- 6.2 Graphical interpretation and one sided limits of a function Page
  
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- 6.3 Finite and infinite limits Page
  
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- 6.4 Infinity limits and rational functions Page
  
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- 6.5 Limits of functions with indeterminate cases Page
  
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- 6.6 Graphs and limits of function Page
  
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- 6.7 Applications of limits in mathematics Page
  
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- 6.8 Asymptotes to curve of a function Page
  
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- 6.9 Vertical asymptote, horizontal and oblique asymptotes Page
  
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- 6.10 Real life problems about limits Page
  
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- 6.11 End unit assessment Page
  
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- Unit 6: End unit assessment quizzes
  
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UNIT 7: DIFFERENTIATION OR DERIVATIVE OF NUMERICAL FUNCTIONS
- 7.0 Introductory activity Page
  
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- 7.1 Concepts of derivative of a function Page
  
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- 7.2 Rules of differentiation Page
  
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- 7.3 Differentiation of trigonometric functions Page
  
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- 7.4 Differentiation of inverse trigonometric function Page
  
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- 7.5 Derivative and the variation of a function Page
  
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- 7.6 Concavity of a function Page
  
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- 7.7 Derivative and the table of variation for a function Page
  
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- 7.8 Derivative and limit with indeterminate cases: Hospital’s rule Page
  
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- 7.9 Derivative, tangent line equation and normal line equation Page
  
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- 7.10 Applications of differentiation in economics and finance Page
  
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- 7.11 Applications of differentiation: rates of change problems, optimization problems Page
  
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- 7.12 End unit assessment Page
  
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- Unit 7: End unit assessment quizzes
  
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  NOTE: 4. a), 11. a., and 12. b. are not included in this session. 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 Page
  
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- 8.1 Definition and order of matrix Page
  
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- 8.2 Operations on matrices Page
  
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- 8.3 Transpose of matrix and matrix of linear transformation in 3D Page
  
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- 8.4 Determinants and inverse of matrices of order two and three Page
  
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- 8.5 Applications of matrices and determinants Page
  
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- 8.6 End unit assessment Page
  
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- Unit 8: End unit assessment quizzes
  
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