Course Syllabus
FUNDAMENTAL CONCEPT OF MATHEMATICS
1.1 Number System
1.2 Numerical Representation and Precision
1.3 Algebraic Operations, Factorizations and Fractions
1.4 Polynomial Functions
QUADRATIC EQUATIONS
2.1 Introduction to Quadratic Equations
2.2 Solving Quadratic Equations: Factorization, Completing Square and Formula
2.3 Nature of Roots of a Quadratic Equation
SIMULTANEOUS EQUATIONS
3.1 Introduction to Simultaneous Equation
3.2 Solving Simultaneous Equations with Two Unknowns for Linear Equations
3.3 Solving Simultaneous Equations with Three Unknowns for Linear Equations
3.4 Solving Simultaneous Equations with Two Unknowns for Linear and Non-Linear Equation
COORDINATE GEOMETRY
4.1 Introduction of Cartesian Coordinates and Sketching Linear Function
4.2 Distance Between Two Points
4.3 Midpoint of a Straight Line
4.4 Straight Line (gradient, equation)
DIFFERENTIATION
5.1 Introduction to Limits
5.2 Definition of Differentiation
5.3 Techniques of Differentiation (differentiation of polynomial functions, product rule, quotient rule and chain rule)
1.1 Number System
1.2 Numerical Representation and Precision
1.3 Algebraic Operations, Factorizations and Fractions
1.4 Polynomial Functions
QUADRATIC EQUATIONS
2.1 Introduction to Quadratic Equations
2.2 Solving Quadratic Equations: Factorization, Completing Square and Formula
2.3 Nature of Roots of a Quadratic Equation
SIMULTANEOUS EQUATIONS
3.1 Introduction to Simultaneous Equation
3.2 Solving Simultaneous Equations with Two Unknowns for Linear Equations
3.3 Solving Simultaneous Equations with Three Unknowns for Linear Equations
3.4 Solving Simultaneous Equations with Two Unknowns for Linear and Non-Linear Equation
COORDINATE GEOMETRY
4.1 Introduction of Cartesian Coordinates and Sketching Linear Function
4.2 Distance Between Two Points
4.3 Midpoint of a Straight Line
4.4 Straight Line (gradient, equation)
DIFFERENTIATION
5.1 Introduction to Limits
5.2 Definition of Differentiation
5.3 Techniques of Differentiation (differentiation of polynomial functions, product rule, quotient rule and chain rule)
Frequently Asked Questions
Q1 : What is the purpose of studying mathematics in a pre-diploma program?
A1 : The purpose of studying mathematics in a pre-diploma program is to provide students with a strong foundation in mathematical concepts and skills that are necessary for success in various diploma programs. Mathematics helps develop critical thinking, problem-solving, and analytical skills, which are essential in many fields of study.
Q2 : What topics are typically covered in mathematics courses for pre-diploma students?
A2 : Mathematics courses for pre-diploma students usually cover a range of topics, including Fundamental Concept of Mathematics, Quadratic Equations, Simultaneous Equations, Coordinate Geometry, and Differentiation. These topics aim to build a solid understanding of fundamental mathematical principles and provide a basis for further study in more advanced mathematics courses.
Q3 : How can pre-diploma students improve their problem-solving skills in mathematics?
A3 : Pre-diploma students can improve their problem-solving skills in mathematics by practicing regularly and applying different problem-solving strategies. It is important to understand the underlying concepts and techniques for each topic and work through a variety of problems to develop problem-solving proficiency. Collaborating with classmates, seeking guidance from teachers, and using online resources can also enhance problem-solving abilities.
Q4 : Who can enroll this MOOC?
A4 : Anyone who wishes to learn about Mathematics for Pre-Diploma.
Q5 : Do I need to have a strong Mathematics background before I can enroll?
A5 : Yes, you should know basic mathematics for better understanding.
A1 : The purpose of studying mathematics in a pre-diploma program is to provide students with a strong foundation in mathematical concepts and skills that are necessary for success in various diploma programs. Mathematics helps develop critical thinking, problem-solving, and analytical skills, which are essential in many fields of study.
Q2 : What topics are typically covered in mathematics courses for pre-diploma students?
A2 : Mathematics courses for pre-diploma students usually cover a range of topics, including Fundamental Concept of Mathematics, Quadratic Equations, Simultaneous Equations, Coordinate Geometry, and Differentiation. These topics aim to build a solid understanding of fundamental mathematical principles and provide a basis for further study in more advanced mathematics courses.
Q3 : How can pre-diploma students improve their problem-solving skills in mathematics?
A3 : Pre-diploma students can improve their problem-solving skills in mathematics by practicing regularly and applying different problem-solving strategies. It is important to understand the underlying concepts and techniques for each topic and work through a variety of problems to develop problem-solving proficiency. Collaborating with classmates, seeking guidance from teachers, and using online resources can also enhance problem-solving abilities.
Q4 : Who can enroll this MOOC?
A4 : Anyone who wishes to learn about Mathematics for Pre-Diploma.
Q5 : Do I need to have a strong Mathematics background before I can enroll?
A5 : Yes, you should know basic mathematics for better understanding.