Advanced Mathematics – Year 10 – Future Aerospace Engineering

About Course

Course Overview: Delve into advanced mathematical concepts and techniques, building a strong foundation for higher-level mathematics. This course enhances problem-solving skills and mathematical reasoning through real-world applications.

Course Content

Lesson 1: Course Introduction and Objectives
o Welcome to the course and explore its structure.

Lesson 2: Algebraic Manipulations and Simplifications
o Master algebraic expressions and simplify complex equations. o Explore polynomial operations and factorization.

Lesson 3: Quadratic Equations and Inequalities
o Solve quadratic equations using the quadratic formula. o Analyze quadratic inequalities and their solutions.

Lesson 4: Trigonometric Identities and Equations
o Discover trigonometric identities and their applications. o Solve trigonometric equations and prove identities.

Lesson 5: Graphs of Trigonometric Functions
o Plot and analyze graphs of sine, cosine, and tangent functions. o Explore amplitude, period, and phase shift.

Lesson 6: Exponential and Logarithmic Functions
o Understand exponential growth and decay models. o Explore properties of logarithmic functions and solve equations.

Lesson 7: Rational Functions and Asymptotes
o Study rational functions, vertical and horizontal asymptotes. o Solve problems involving rational functions.

Lesson 8: Coordinate Geometry in Two Dimensions
o Explore distance, midpoint, and gradient in coordinate plane. o Investigate the equation of a line and its properties.

Lesson 9: Conic Sections and their Equations
o Analyze conic sections (circle, ellipse, parabola, hyperbola). o Derive and interpret equations for conic sections.

Lesson 10: Introduction to Calculus
o Understand the concept of limits and continuity. o Introduce the derivative and its applications.

Lesson 11: Techniques of Differentiation
o Apply differentiation rules to various functions. o Calculate derivatives of composite and implicit functions.

Lesson 12: Probability Distributions and Random Variables
o Explore discrete and continuous probability distributions. o Analyze mean, variance, and standard deviation.

Lesson 13: Correlation, Regression, and Hypothesis Testing
o Study correlation, linear regression, and hypothesis testing. o Apply statistical methods to real-world scenarios.

Student Ratings & Reviews

No Review Yet

Basket

Advanced Mathematics – Year 10

About Course

What Will You Learn?

Course Content

Lesson 1: Course Introduction and Objectives o Welcome to the course and explore its structure.

Lesson 2: Algebraic Manipulations and Simplifications o Master algebraic expressions and simplify complex equations. o Explore polynomial operations and factorization.

Lesson 3: Quadratic Equations and Inequalities o Solve quadratic equations using the quadratic formula. o Analyze quadratic inequalities and their solutions.

Lesson 4: Trigonometric Identities and Equations o Discover trigonometric identities and their applications. o Solve trigonometric equations and prove identities.

Lesson 5: Graphs of Trigonometric Functions o Plot and analyze graphs of sine, cosine, and tangent functions. o Explore amplitude, period, and phase shift.

Lesson 6: Exponential and Logarithmic Functions o Understand exponential growth and decay models. o Explore properties of logarithmic functions and solve equations.

Lesson 7: Rational Functions and Asymptotes o Study rational functions, vertical and horizontal asymptotes. o Solve problems involving rational functions.

Lesson 8: Coordinate Geometry in Two Dimensions o Explore distance, midpoint, and gradient in coordinate plane. o Investigate the equation of a line and its properties.

Lesson 9: Conic Sections and their Equations o Analyze conic sections (circle, ellipse, parabola, hyperbola). o Derive and interpret equations for conic sections.

Lesson 10: Introduction to Calculus o Understand the concept of limits and continuity. o Introduce the derivative and its applications.

Lesson 11: Techniques of Differentiation o Apply differentiation rules to various functions. o Calculate derivatives of composite and implicit functions.

Lesson 12: Probability Distributions and Random Variables o Explore discrete and continuous probability distributions. o Analyze mean, variance, and standard deviation.

Lesson 13: Correlation, Regression, and Hypothesis Testing o Study correlation, linear regression, and hypothesis testing. o Apply statistical methods to real-world scenarios.