Math 9
- Time: 3:40 – 5:00
- Length: 1 year
- Pre-requisite: NCLS Math 7 and Math 8
- Textbook: discovering Mathematics 4A and 4B, by Chow Wai Keung, ISBN: 981-4176-72-9 and 981-4176-73-7
- Workbook: discovering Mathematics 4 Workbook, by Chow Wai Keung, ISBN: 978-981-4249-29-4
- PreCalculus Mathematics for Calculus, 6e, by James Stewart, Lothar Redlin, Saleem Watson, ISBN: 978-1-133-59476-5
- For 2023, we have classes on the following dates: 1/12, 1/19, 1/26 (last day of Fall Semester), 2/2 (first day of Spring Semester), 2/9, 2/16, 3/9, 3/16, 3/23, 3/30, 4/6, 4/13, 5/4, 5/11, 5/18, 5/25, 6/8, 6/13, 6/20.
Subjects to be covered:
- Standard Deviation
- Standard Deviation for Ungrouped Data
- Standard Deviation for Grouped Data
- Comparison of Two Data Sets
- Probability
- Probabilities of Simple Combined Events
- Mutually Exclusive Events
- Independent Events
- Further Probabilities
- Matrices
- Definition of A Matrix
- Addition and Subtraction of Matrices
- Multiplication of A Matrix by A Scalar
- Multiplication of Matrices
- Vectors In Two Dimensions
- Introduction to Vectors
- Operations On Vectors
- Position Vectors
- Vectors on the Coordinate Plane
- Applications of Vectors in Geometry
- Graphs In Practical Situations
- Distance-time Graphs and Speed-time Graphs
- Complex Numbers
- Arithmetic of Complex Numbers
- The Complex Plane
- Exponential and Logarithmic Functions
- Exponential Functions
- The Natural Exponential Function
- Logarithmic Functions
- Laws of Logarithms
- Exponential and Logarithmic Equations
- Interest and Mortgage Calculation
Teaching Plan
| Fall Semester | |
| Lesson 1 | 1.1 Standard Deviation for Un-grouped Data |
| Lesson 2 | 1.2 Standard Deviation for Grouped Data |
| Lesson 3 | 1.3 Comparison of Two Data Sets |
| Lesson 4 | 2.1 Probabilities of Simple Combined Events2.2 Mutually Exclusive Events |
| Lesson 5 | 2.3 Independent Events |
| Lesson 6 | 2.4 Further Probabilities |
| Lesson 7 | Review |
| Lesson 8 | Midterm Exam |
| Lesson 9 | 3.1 Definition of a Matrix3.2 Addition and Subtraction of Matrices |
| Lesson 10 | 3.3 Multiplication of A Matrix and a Scalar |
| Lesson 11 | 3.4 Multiplication of Matrices |
| Lesson 12 | X1.1 Arithmetic of Complex Numbers |
| Lesson 13 | X1.2 The Complex Plane |
| Lesson 14 | X1.3 Real and Imaginary Parts |
| Lesson 15 | Review |
| Lesson 16 | Final Exam |
| Spring Semester | |
| Lesson 1 | 4.1 Introduction to Vectors4.2 Vector Addition |
| Lesson 2 | 4.2 Vector Subtraction and Multiplication with a Scalar |
| Lesson 3 | 4.3 Position Vectors4.4 Vectors on the Coordinate Plane |
| Lesson 4 | 4.5 Applications of Vectors in Geometry |
| Lesson 5 | 6.1 Distance-Time Graphs |
| Lesson 6 | 6.2 Speed-Time Graphs |
| Lesson 7 | Review |
| Lesson 8 | Midterm Exam |
| Lesson 9 | X4.1 Introduction to Logarithm |
| Lesson 10 | X4.2 Logarithm Identities |
| Lesson 11 | X4.3 Using Logarithm Identities |
| Lesson 12 | X4.4 Exponential and Logarithmic Equations |
| Lesson 13 | 5.1 Math in Practical Situations |
| Lesson 14 | 5.2 Interest and Mortgage Calculation |
| Lesson 15 | Review |
| Lesson 16 | Final Exam |
09
March
2011
