M.4 Main Course - ค.31101
1st Term

Unit

Content

Hours

1
Sets

• Sets
• Set equality
• Disjoint sets
• Complement of a set
• Subsets
• Venn-Euler diagrams

10

2
Reasoning

• Inductive reasoning
• Deductive reasoning
• Syllogistic logic
  

8

3
Real Numbers

• Definitions
• Properties of equalities
• Properties of inequalities

14

4
Equations and Inequalities

• Linear equations
• Inequalities
• Quadratic equations
• Absolute values
  

8

Total

40

M.4 Main Course - ค.31102
2nd Term

Unit

Content

Hours

5
Radicals and exponents

• Properties
• Rational exponents
  

8

6
Relations & Functions

• Definitions
• Properties
• Domain & range
• Linear functions
• Quadratic functions
• Absolute value functions
• Step functions
  

22

7
Trigonometry

• Angles and angle measure
• Coterminal angles
• Right triangle trig
• The Law of Sines
• The Law of Cosines
• Trig. equations
  

10

Total

40

M.4 Additional Course - ค.31201
1st Term

Unit

Content

Hours

1
Numbers and Operations

• Real number system:
• Factorizing polynomials- (Reminder and factor theorems)
• Rational roots of polynomials
• Interval notations
• Inequalities of polynomials

40

• Addition, subtraction, multiplication, division of real numbers
• Addition, subtraction, multiplication, division of real numbers expressed in exponential notation with rational indices, real numbers expressed in radicals

12

• Estimates of real numbers expressed in radicals and real numbers expressed in exponents.
  

8

Total

60

M.4 Additional Course - ค.31202
2nd Term

Unit

Content

Hours

2
Algebra

• Reasoning through induction and deduction
• Proposition and statement
• Truth values And truth tables
• Operators (and, or, if…then, if and only if)
• Truth values of statements
• Equivalent statements
• Tautology and reasoning
• Open statements
• Quantifiers
• Truth values of quantifiers
• Equivalency and negation of quantifiers
  

60

• Concept of relation and function
• Cartesian product
• Inverse functions
• Operations on functions
• Composite functions
• Graph of relation and function

20

Total

80

M.5 Main Course - ค.32101
1st Term

Unit

Content

Hours

1
Sequences & Series

• General sequences
• Arithmetic sequences
• Geometric sequences
• Arithmetic series
• Geometric series
• Finite geometric series
• Infinite geometric series
  

40

Total

40

M.5 Main Course - ค.32102
2nd Term

Unit

Content

Hours

2
Principles of Counting

• Fundamental principles of counting
• Permutations
• Combinations
  

20

3
Statistics

• Measure of central tendency
  - Mean
  - Median
  - Mode
• Measure of dispersion
  - Standard deviation
  - Variance
• Frequency distribution
  

20

Total

40

M.5 Additional Course - ค.32201
1st Term

Unit

Content

Hours

1
Exponential Functions

• Graphing
• Properties
• Equations involving exponents

40

2
Probability

• Binomial theorem
• Random experiments
• Sample space and events
• Mutually exclusive events
• Disjoint events

40

Total

80

M.5 Additional Course - ค.32102
2nd Term

Unit

Content

Hours

3
Normal Distribution

• Standard deviation and area
• Convert x-values to z-values
• Convert z-values to x-values
  

80

Total

80

M.6 Main Course - ค.33101
1st Term

Unit

Content

Hours

1
xxx

• Coming Soon

xx

2
xxx

• Coming Soon

xx

Total

xx

M.6 Main Course - ค.33102
2nd Term

Unit

Content

Hours

3
xxx

• Coming Soon

xx

4
xxx

• Coming Soon

xx

Total

xx

M.6 Additional Course - ค.33201
1st Term

Unit

Content

Hours

1
Statistics

• Simple methodology for opinion polling.
• Mean
• Median
• Mode
• Standard deviation
• Percentile of data
  

80

Total

80

M.6 Additional Course - ค.33202
2nd Term

Unit

Content

Hours

2
Probability

• Opinion poll
• Basic rules about counting
• Random sampling
• Sample space
• Probability of events.
• Statistics and data.
• Probability
  

80

Total

80