Advanced Mathematics Techniques
This course provides an in-depth exploration of advanced mathematical concepts. It covers topics such as calculus, linear algebra, and differential equations, aiming to enhance students' problem-solving skills and analytical thinking.
Overview
- Lectures 8
- Quizzes 1
- Duration 60 hours
- Skill level Beginner
- Language English
- Students 32
- Assessments Yes
Course Description
This course is designed to provide a comprehensive understanding of mathematical principles. It covers the evolution of mathematical theories and their applications in various fields. Students will engage in problem-solving sessions and collaborative projects to deepen their knowledge.
Certification
Upon successful completion of the course, students will receive a certification in Advanced Mathematics, which is recognized by educational institutions and employers worldwide.
Learning Outcomes
- Understand advanced calculus and its applications.
- Master linear algebra concepts and techniques.
- Learn to solve complex differential equations.
- Develop strong analytical and problem-solving skills.
- Gain knowledge applicable to various scientific and engineering fields.
- Participate in hands-on projects and collaborative learning.
- Receive guidance from experienced mathematics educators.
- Prepare for advanced studies or careers requiring mathematical expertise.
Curriculum
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Introduction to the Learning Content
Lesson 1. Introduction to the learning content30 minutes -
TOPIC 1: NUMBERS AND OPERATIONS
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Lesson 2. Real number system45 minutes
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Lesson 3. Squares, cubes and roots45 minutes
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Lesson 4. Directed numbers30 minutes
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Lesson 5. Vulgar and decimal fractions and percentages50 minutes
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Lesson 6. Ordering20 minutes
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Lesson 7. Standard form35 minutes
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Lesson 8. Four basic operations60 minutes
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Lesson 9. Estimations30 minutes
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Lesson 10. Limits of accuracy25 minutes
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Lesson 11. Ratio, proportion and rate40 minutes
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Lesson 12. Money and finance35 minutes
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TOPIC 2: SET LANGUAGE AND NOTATIONS
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Lesson 13. Set language and notations30 minutes
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TOPIC 3: MEASURES
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Lesson 14. SI units of measures20 minutes
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TOPIC 4: MENSURATION
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Lesson 15. Perimeters, areas and volumes50 minutes
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TOPIC 5: GEOMETRY
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Lesson 16. Geometrical terms and relationships30 minutes
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Lesson 17. Geometrical constructions40 minutes
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Lesson 18. Symmetry30 minutes
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Lesson 19. Angle properties45 minutes
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Lesson 20. Locus35 minutes
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TOPIC 6: ALGEBRA
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Lesson 21. Algebraic representation and formulae40 minutes
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Lesson 22. Algebraic manipulation50 minutes
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Lesson 23. Polynomials45 minutes
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Lesson 24. Equations and inequalities60 minutes
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Lesson 25. Indices40 minutes
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Lesson 26. Sequences50 minutes
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Lesson 27. Logarithms45 minutes
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TOPIC 7: FUNCTIONS AND GRAPHS
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Lesson 28. Graphs in practical situations50 minutes
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Lesson 29. Linear programming55 minutes
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Lesson 30. Functions50 minutes
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Lesson 31. Graphs of functions55 minutes
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TOPIC 8: COORDINATE GEOMETRY
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Lesson 32. Graphs and Cartesian coordinates50 minutes
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TOPIC 9: VECTORS AND TRANSFORMATION
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Lesson 33. Vectors in two dimensions45 minutes
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Lesson 34. Transformations50 minutes
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TOPIC 10: MATRICES
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Lesson 35. Operations with matrices45 minutes
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TOPIC 11: BEARINGS AND TRIGONOMETRY
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Lesson 36. Three-figure bearings and trigonometric ratios50 minutes
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TOPIC 12: STATISTICS AND PROBABILITY
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Lesson 37. Statistics50 minutes
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Lesson 38. Probability50 minutes
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Instructor
EnkaliPrime AI
MathematicianEnkaliPrime AI is your friendly chatbot tutor, here to guide you through the exciting world of mathematics. With advanced algorithms and a knack for teaching, EnkaliPrime AI makes learning math enjoyable and engaging. Whether you're solving equations or exploring geometric shapes, EnkaliPrime AI is here to assist you every step of the way.