AM Unit 1 – Simultaneous Equations, Polynomials and Partial Fractions – Tim Gan Math Online Courses

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Welcome! 1 Topic

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Please read through the following guidelines before you start the course

AM 1.1 Linear and Non-Linear Simultaneous Equations 7 Topics

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AM 1.1 Worked Example 1

AM 1.1 Worked Example 2

AM 1.1 Practice Now 1 Question 1

AM 1.1 Practice Now 1 Question 2

AM 1.1 Practice Now 1 Question 3

AM 1.1 Practice Now 1 Question 4

AM 1.1 Practice Now 1 Question 5

AM 1.2 Polynomials and Long Division 15 Topics

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AM 1.2 Conceptual Bridging: Polynomials and its Degrees

AM 1.2 Worked Example 1 (Addition and Subtraction of Polynomials)

AM 1.2 Worked Example 2 (Multiplication of Polynomials)

AM 1.2 Worked Example 3 (Finding Unknown Coefficients)

AM 1.2 Worked Example 4 (Equating Coefficients)

AM 1.2 Practice Now 1 Question 1

AM 1.2 Practice Now 1 Question 2

AM 1.2 Practice Now 1 Question 3

AM 1.2 Practice Now 1 Question 4

AM 1.2 Practice Now 1 Question 5

AM 1.2 Practice Now 1 Question 6

AM 1.2 Worked Example 5 (Long Division of Polynomials)

AM 1.2 Practice Now 2 Question 1

AM 1.2 Practice Now 2 Question 2

AM 1.2 Practice Now 2 Question 3

AM 1.3 Remainder and Factor Theorems 20 Topics

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AM 1.3.1 Conceptual Bridging: Remainder Theorems

AM 1.3.1 Worked Example 1 (Using Remainder Theorem to Find Remainder)

AM 1.3.1 Worked Example 2 (Finding an Unknown using Remainder Theorem)

AM 1.3.1 Practice Now 1 Question 1

AM 1.3.1 Practice Now 1 Question 2

AM 1.3.1 Practice Now 1 Question 3

AM 1.3.1 Practice Now 1 Question 4

AM 1.3.1 Practice Now 1 Question 5

AM 1.3.1 Practice Now 1 Question 6

AM 1.3.2 Conceptual Bridging: Factor Theorems

AM 1.3.2 Worked Example 1 (Finding an Unknown Value using Factor Theorem)

AM 1.3.2 Worked Example 2 (Finding an Unknown using Factor Theorem)

AM 1.3.2 Practice Now 1 Question 1

AM 1.3.2 Practice Now 1 Question 2

AM 1.3.2 Practice Now 1 Question 3

AM 1.3.2 Practice Now 1 Question 4

AM 1.3.2 Practice Now 1 Question 5

AM 1.3.2 Worked Example 3

AM 1.3.2 Practice Now 2 Question 1

AM 1.3.2 Practice Now 2 Question 2

AM 1.4 Cubic Expressions and Equations 18 Topics

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AM 1.4 Conceptual Bridging: Factorization of Cubic Equations

AM 1.4 Worked Example 1 (Factorizing and Solving Cubic Equations)

AM 1.4 Worked Example 2 (Solving a Cubic Equation by Substitution)

AM 1.4 Worked Example 3 (Finding an Unknown Polynomial)

AM 1.4 Practice Now 1 Question 1

AM 1.4 Practice Now 1 Question 2

AM 1.4 Practice Now 1 Question 3

AM 1.4 Practice Now 1 Question 4

AM 1.4 Practice Now 1 Question 5

AM 1.4 Worked Example 4 (Sum and Difference of Cubes)

AM 1.4 Worked Example 5 (Factorization using the Sum and Difference of Cubes)

AM 1.4 Practice Now 2 Question 1

AM 1.4 Practice Now 2 Question 2

AM 1.4 Practice Now 2 Question 3

AM 1.4 Exercise Question 1

AM 1.4 Exercise Question 2

AM 1.4 Exercise Question 3

AM 1.4 Exercise Question 4

AM 1.5 Partial Fractions 18 Topics

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AM 1.5 Conceptual Bridging: Partial Fractions

AM 1.5 Worked Example 1 (Distinct Linear Factors in the Denominator)

AM 1.5 Worked Example 2 (Expressing an Improper Algebraic Fraction as the Sum of a Polynomial and a Proper Fraction)

AM 1.5 Worked Example 3 (Repeated Linear Factors in Denominator)

AM 1.5 Worked Example 4 (Repeated Linear Factors in Denominator)

AM 1.5 Worked Example 5 (Quadratic Factor in the Denominator that cannot be Factorised)

AM 1.5 Worked Example 6 (Applications of Partial Fractions)

AM 1.5 Practice Now 1 Question 1

AM 1.5 Practice Now 1 Question 2

AM 1.5 Practice Now 1 Question 3

AM 1.5 Practice Now 1 Question 4

AM 1.5 Practice Now 1 Question 5

AM 1.5 Exercise Question 1

AM 1.5 Exercise Question 2

AM 1.5 Exercise Question 3

AM 1.5 Exercise Question 4

AM 1.5 Exercise Question 5

AM 1.5 Exercise Question 6