Algebra: Elementary to Advanced - Equations & Inequalities
- 4.8
Course Summary
This course covers the fundamental concepts of algebra, including variables, equations, and functions. It is designed to help students develop a deep understanding of algebraic concepts and apply them to real-life situations.Key Learning Points
- Learn to solve linear and quadratic equations
- Apply algebraic concepts to real-life situations
- Master the fundamental principles of algebra
Related Topics for further study
Learning Outcomes
- Understand the fundamental principles of algebra
- Develop problem-solving and critical thinking skills
- Apply algebraic concepts to real-life situations
Prerequisites or good to have knowledge before taking this course
- Basic knowledge of arithmetic operations
- Ability to solve simple equations
Course Difficulty Level
IntermediateCourse Format
- Online
- Self-paced
- Video Lectures
Similar Courses
- College Algebra
- Introduction to Algebra
Related Education Paths
Notable People in This Field
- Vi Hart
- Sal Khan
Related Books
Description
This course is intended for students looking to create a solid algebraic foundation of fundamental mathematical concepts from which to take more advanced courses that use concepts from precalculus, calculus, probability, and statistics. This course will help solidify your computational methods, review algebraic formulas and properties, and apply these concepts model real world situations. This course is for any student who will use algebraic skills in future mathematics courses. Topics include: the real numbers, equalities, inequalities, polynomials, rational expressions and equations, graphs, relations and functions, radicals and exponents, and quadratic equations.
Outline
- Module 1: The Structure of Numbers
- Real Numbers
- Properties of Real Numbers
- Notes: Common Sets of Numbers
- Sample Problems: Real Numbers
- Notes: Operations
- Notes: Working with Fractions
- Sample Problems: Properties of Real Numbers
- Structure of Numbers
- Properties of Real Numbers
- Module 2: Linear Equations
- Variables and Equations
- Linear Equations in Two Variables
- Graphing Lines with Desmos
- Notes: Linear Equations in One Variable
- Notes: Absolute Value Equations
- Sample Problems: Linear Equations in One Variable
- Notes: Linear Equations in Two Variables
- Sample Problems: Linear Equations in Two Variables
- Linear Equations in One Variable
- Linear Equations in Two Variables
- Module 3: Solving Inequalities
- Linear Inequalities in One Variable
- Linear Inequalities in Two Variables
- Notes: Linear Inequalities in One Variable
- Sample Problems: Linear Inequalities in One Variable
- Notes: Linear Inequalities in Two Variables
- Sample Problems: Linear Inequalities in Two Variables
- Linear Inequalities in One Variable
- Linear Inequalities in Two Variables
- Module 4: Systems of Equations
- Systems of Linear Equations
- Systems of Linear Inequalities
- Notes: Systems of Linear Equations
- Sample Problems: Systems of Linear Equations
- Notes: Systems of Linear Inequalities
- Sample Problems: Systems of Linear Inequalities
- Systems of Linear Equations
- Systems of Linear Inequalities
- Final Exam: Equations with Inequalities and Real Numbers
- Final Exam: Equations with Inequalities and Real Numbers
Summary of User Reviews
Discover the fundamentals of Algebra with this captivating online course from Coursera. Students praise the course for its comprehensive coverage of the subject matter and engaging teaching style.Key Aspect Users Liked About This Course
Many students applaud the course's comprehensive coverage of Algebraic concepts and principles.Pros from User Reviews
- Course covers all the fundamental concepts of Algebra in-depth
- Engaging and knowledgeable instructors
- Provides ample opportunity for practice and application
- Flexible learning options to fit any schedule
- Great community support and resources
Cons from User Reviews
- Some topics may be challenging for beginners
- Not enough emphasis on real-world applications of Algebra
- Limited interaction with instructors
- Some assignments are too difficult for the level of instruction provided
- Course may be too slow-paced for advanced learners