Advanced Algebra for High School
The course aims to enhance advanced algebraic skills for high school students, facilitating preparation for higher-level mathematics.
Certificate :
After Completion
Start Date :
10-Jan-2025
Duration :
30 Days
Course fee :
$150
COURSE DESCRIPTION:
- The course aims to enhance advanced algebraic skills for high school students, facilitating preparation for higher-level mathematics.
- Key topics encompass polynomial functions, exponential and logarithmic equations, matrices, and conic sections.
- Emphasis is placed on problem-solving techniques and their applications in real-world scenarios.
- Students will develop their mathematical reasoning and analytical abilities.
- This foundation is crucial for achieving success in calculus and other advanced mathematical courses.
CERTIFICATION:
Students who successfully finish the course and meet assessment criteria will be awarded a Certificate of Achievement.
This certificate acknowledges their expertise in advanced algebra concepts.
Completion of the course is essential for certification.
Passing the assessments is a requirement for receiving the certificate.
The Certificate of Achievement signifies proficiency in advanced algebra.
LEARNING OUTCOMES:
By the conclusion of the course, participants will possess the skills to:
- Master higher-degree polynomial equations and their graphical representations.
- Simplify and solve rational expressions and equations effectively.
- Explore real-world applications by solving exponential and logarithmic equations.
- Understand matrix operations to resolve systems of equations.
- Analyze parabolas, ellipses, and hyperbolas through algebraic methods.
Course Curriculum
- Linear equations and inequalities
- Quadratic equations and their graphs
- Systems of linear equations and inequalities
- Understanding polynomial expressions
- Addition, subtraction, multiplication, and division of polynomials
- Factoring techniques for higher-degree polynomials
- Graphing polynomial functions: zeros and turning points
- The Remainder and Factor Theorems
- Simplifying rational expressions
- Multiplication, division, addition, and subtraction of rational expressions
- Solving rational equations
- Applications of rational expressions in real-world scenarios
- Properties of exponents and logarithms
- Solving exponential and logarithmic equations
- Graphing exponential and logarithmic functions
- Applications in finance, population growth, and decay
- Introduction to matrices: notation and types
- Matrix operations: addition, subtraction, multiplication
- Determinants and their properties
- Solving systems of equations using matrices (Gaussian elimination and Cramer’s rule)
- Introduction to conic sections: circles, parabolas, ellipses, and hyperbolas
- Standard equations and properties of conic sections
- Applications of conic sections in real-world scenarios
- Graphing conic sections
- Solving systems of nonlinear equations
- Sequences and series: arithmetic and geometric progressions
- The Binomial Theorem
- Complex numbers and their applications
Training Features
Comprehensive Coverage
A detailed and structured curriculum covering advanced high school algebra topics.
Interactive Lessons
Engaging video tutorials, visual aids, and step-by-step problem-solving guides.
Practice Problems
Extensive sets of problems with varying difficulty levels to reinforce concepts.
Real-Life Applications:
Case studies and projects to demonstrate algebra's practical uses.
Quizzes and Tests
Regular assessments to evaluate understanding and readiness.
Flexible Learning
Self-paced modules with optional live tutoring sessions for personalized help.
