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Rs30000
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Duration: 30 hours
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Delivery mode: Online
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Group size: Individual
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Instruction language:
English,
Urdu,
Hindi
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Certificate provided:
No
**Course Title:** Advanced Algebra and Geometry
**Course Description:**
This course is designed to deepen students' understanding of algebra and geometry, equipping them with the skills and knowledge necessary for more advanced mathematical pursuits. Students will explore complex algebraic concepts, geometric theorems, and their applications in real-world problem-solving.
**Key Topics:**
- Polynomial functions and equations
- Systems of linear equations and matrices
- Quadratic, exponential, and logarithmic functions
- Trigonometry and the unit circle
- Geometric proofs and constructions
- Transformations and symmetry
- Solid geometry and three-dimensional shapes
**Course Objectives:**
By the end of the course, students will be able to:
- Solve and graph complex polynomial equations
- Analyze and solve systems of linear equations using matrices
- Understand the behavior of quadratic, exponential, and logarithmic functions
- Apply trigonometric concepts to solve problems involving angles and triangles
- Construct geometric proofs and understand the properties of geometric shapes
- Apply geometric transformations to analyze symmetry and congruence
- Calculate volumes and surface areas of three-dimensional figures
**Teaching Methodology:**
This course emphasizes a combination of lectures, collaborative problem-solving, and hands-on activities. Students will engage in group discussions, work on challenging problems, and have the opportunity to apply mathematical concepts in practical scenarios.
**Assessment:**
Assessment will include regular homework assignments, quizzes, class participation, and midterm/final examinations. Students will also have the opportunity to work on individual or group projects to apply their mathematical skills in real-world contexts.
**Prerequisites:**
Successful completion of a prior algebra and geometry course or instructor approval.
**Who Should Take This Course:**
This course is ideal for students with a strong interest in mathematics, as well as those preparing for advanced math courses or careers in science, engineering, or related fields.