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Foundations of Mathematics: Comprehensive Geometry and Algebra
Course Description: Mathematics, Geometry, and Algebra
This course is designed to provide students with a comprehensive understanding of mathematics, focusing on the foundational concepts in geometry and algebra. The curriculum is tailored to enhance critical thinking, problem-solving abilities, and the ability to apply mathematical principles to real-world scenarios.
Geometry Module
The geometry section covers the study of shapes, spaces, and their properties. Students will explore concepts such as:
Euclidean Geometry: Understanding points, lines, planes, angles, and polygons.
Transformational Geometry: Analyzing symmetry, reflections, rotations, and translations.
3D Geometry: Examining solids, surface area, and volume of three-dimensional figures.
Analytic Geometry: Using coordinate systems to represent geometric objects and solve problems.
Applications: Real-world geometric problems and their applications in fields like engineering, architecture, and design.
Algebra Module
In the algebra module, students develop skills in manipulating symbols and solving equations, covering:
Basic Algebra: Operations, factoring, and solving linear and quadratic equations.
Advanced Algebra: Working with polynomials, rational expressions, exponents, and logarithms.
Systems of Equations: Solving systems using substitution, elimination, and matrix methods.
Functions and Graphs: Exploring linear, quadratic, exponential, and logarithmic functions.
Abstract Algebra (Advanced topics): Introduction to groups, rings, and fields for students interested in theoretical aspects.
Course Goals
By the end of this course, students will be able to:
Analyze complex mathematical problems with clarity and precision.
Apply geometric and algebraic principles to model and solve real-life scenarios.
Develop a strong foundation for higher-level studies in mathematics or related fields.
This course offers a blend of theoretical exploration and practical application, making it ideal for students looking to deepen their mathematical understanding or pursue studies in STEM disciplines.
This course is designed to provide students with a comprehensive understanding of mathematics, focusing on the foundational concepts in geometry and algebra. The curriculum is tailored to enhance critical thinking, problem-solving abilities, and the ability to apply mathematical principles to real-world scenarios.
Geometry Module
The geometry section covers the study of shapes, spaces, and their properties. Students will explore concepts such as:
Euclidean Geometry: Understanding points, lines, planes, angles, and polygons.
Transformational Geometry: Analyzing symmetry, reflections, rotations, and translations.
3D Geometry: Examining solids, surface area, and volume of three-dimensional figures.
Analytic Geometry: Using coordinate systems to represent geometric objects and solve problems.
Applications: Real-world geometric problems and their applications in fields like engineering, architecture, and design.
Algebra Module
In the algebra module, students develop skills in manipulating symbols and solving equations, covering:
Basic Algebra: Operations, factoring, and solving linear and quadratic equations.
Advanced Algebra: Working with polynomials, rational expressions, exponents, and logarithms.
Systems of Equations: Solving systems using substitution, elimination, and matrix methods.
Functions and Graphs: Exploring linear, quadratic, exponential, and logarithmic functions.
Abstract Algebra (Advanced topics): Introduction to groups, rings, and fields for students interested in theoretical aspects.
Course Goals
By the end of this course, students will be able to:
Analyze complex mathematical problems with clarity and precision.
Apply geometric and algebraic principles to model and solve real-life scenarios.
Develop a strong foundation for higher-level studies in mathematics or related fields.
This course offers a blend of theoretical exploration and practical application, making it ideal for students looking to deepen their mathematical understanding or pursue studies in STEM disciplines.
Location
Online via webcam
About Me
Translated by Google. Click to view original.
Walid is a dedicated mathematician with a strong background in geometry and algebra, holding a master's degree in these fields and over five years of teaching experience. Passionate about both the theoretical and applied aspects of mathematics, Walid excels at breaking down complex concepts to make them accessible and engaging for students at all levels. His expertise spans across core mathematical principles as well as more advanced topics in geometry, topology, and algebra, making him an adaptable and insightful educator.In addition to his teaching, Walid is committed to ongoing research in mathematics, especially within the realms of geometry and topology. Known for his analytical mindset, critical thinking skills, and drive to inspire others, he brings both depth and energy to his teaching and research.
Education
Translated by Google. Click to view original.
im walid boutaghou student and i have master algebra and geometry at the university of Université des Sciences et de la Technologie Houari Boumediene in algeriaExperience / Qualifications
Translated by Google. Click to view original.
Walid is a skilled mathematician and educator with over five years of experience in teaching mathematics, specializing in geometry and algebra. Holding a master's degree in algebra and geometry, Walid has taught students across various educational levels, developing a strong ability to convey complex mathematical ideas with clarity and enthusiasm.Key Qualifications:
Master's Degree in Algebra and Geometry: Advanced studies in these fields have equipped Walid with in-depth theoretical knowledge and the skills needed to explore complex mathematical concepts.
Teaching Experience: With over five years of both experience, he has taught foundational and advanced topics in mathematics, ensuring that students build a solid understanding of the subject.
Curriculum Development: Walid has experience in designing comprehensive mathematics courses, focusing on making geometry and algebra approachable and engaging, while also preparing students for higher-level studies.
Research Background: Active in his research pursuits, especially within the realms of geometry and topology, Walid is deeply invested in staying updated with current trends and advancements in the field of mathematics.
Skills:
Analytical and Problem-Solving Skills: Walid's background allows him to break down complex problems and present clear, logical solutions.
Student-Centered Teaching Approach: He prioritizes the needs and learning styles of his students, ensuring they have the support to understand and apply mathematical principles effectively.
Adaptability and Growth-Oriented Mindset: Walid continuously seeks opportunities to expand his own knowledge and inspire students, making him a flexible and forward-thinking educator.
Ask a question
Send a message explaining your needs and Walid will reply soon:
The more detail, the better.
Ex. "Hi, when are you available to meet for a lesson?"
Ex. "Hi, when are you available to meet for a lesson?"
Availability of a typical week
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from 35€Online via webcam
100% Satisfaction Guarantee
Good-fit Instructor Guarantee
If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.
Online reputation
- Instructor since November 2024
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Availability of a typical week
(GMT -04:00) New York
Mon | Tue | Wed | Thu | Fri | Sat | Sun | |
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2 | Monday at 2:00 | Tuesday at 2:00 | Wednesday at 2:00 | Thursday at 2:00 | Friday at 2:00 | Saturday at 2:00 | |
3 | Monday at 3:00 | Tuesday at 3:00 | Wednesday at 3:00 | Thursday at 3:00 | Friday at 3:00 | Saturday at 3:00 | |
4 | Monday at 4:00 | Tuesday at 4:00 | Wednesday at 4:00 | Thursday at 4:00 | Friday at 4:00 | Saturday at 4:00 | |
5 | Monday at 5:00 | Tuesday at 5:00 | Wednesday at 5:00 | Thursday at 5:00 | Friday at 5:00 | Saturday at 5:00 | |
6 | Monday at 6:00 | Tuesday at 6:00 | Wednesday at 6:00 | Thursday at 6:00 | Friday at 6:00 | Saturday at 6:00 | |
7 | Monday at 7:00 | Tuesday at 7:00 | Wednesday at 7:00 | Thursday at 7:00 | Friday at 7:00 | Saturday at 7:00 | |
8 | Monday at 8:00 | Tuesday at 8:00 | Wednesday at 8:00 | Thursday at 8:00 | Friday at 8:00 | Saturday at 8:00 | |
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from 35€Online via webcam
Good-fit Instructor Guarantee
If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.
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