BSCS: MAT130- College Algebra
Categories: BS in Business Administration, BS in Computer Science
About Course
- This course covers fundamental algebraic concepts and techniques, including equations, inequalities, functions, and graphing.
- Students will develop skills in solving various types of algebraic problems and will learn to apply algebraic methods to real-world situation
Course Objectives:
- Master the fundamental principles and techniques of algebra to solve complex mathematical problems.
- Solve linear, quadratic, polynomial, and rational equations and inequalities with accuracy and efficiency.
- Analyze and interpret various types of functions, including polynomial, rational, exponential, and logarithmic functions, within applied and theoretical contexts.
- Apply algebraic methods to model and address real-world challenges in business, economics, and technology.
- Develop robust critical thinking and analytical skills to assess and solve advanced algebraic problems.
Course Content
Week 1: Introduction to Algebra
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Week 1: Introduction to Algebra
04:59 -
LO1: Define the properties of real numbers and their operations
00:00 -
LO2: Apply basic algebraic rules to simplify algebraic expressions.
00:00 -
LO3: Analyze real-world examples to demonstrate the use of algebra in daily contexts.
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 2: Linear Equations and Inequalities
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Week 2: Linear Equations and Inequalities
00:00 -
LO1: Solve linear equations using algebraic techniques and interpret solutions.
00:00 -
LO2: Apply linear equations to model and solve real-life problems.
00:00 -
LO3: Analyze and graph solutions of linear inequalities on a number line.
00:00 -
Multiple-choice question
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True/False
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Scenario Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 3: Graphs and Functions
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Week 3: Graphs and Functions
00:00 -
LO1: Describe the Cartesian coordinate system and plot points accurately
00:00 -
LO2: Graph linear equations and interpret slopes and intercepts.
00:00 -
LO3: Define and evaluate functions, explaining their role in modeling relationships.
00:00 -
Multiple-choice question
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Short Answer Questions
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True/False
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Key Terms and Concepts
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Scenario-Based MCQs
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 4: Systems of Linear Equations
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Week 4: Systems of Linear Equations
00:00 -
LO1: Solve systems of equations using substitution, elimination, and graphing methods.
00:00 -
LO2: Interpret solutions of systems in terms of consistency and dependency.
00:00 -
LO3: Apply systems of equations to solve practical business and economics problems.
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 5: Polynomial Functions
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Week 5: Polynomial Functions
00:00 -
LO1: Perform operations with Polynomials, including Addition, Subtraction, and multiplication.
00:00 -
LO2: Factor polynomial expressions using appropriate techniques.
00:00 -
LO3: Analyze the characteristics and graphs of polynomial functions.
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 6: Rational Functions and Expressions
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Week 6: Rational Functions and Expressions
00:00 -
LO1: Simplify rational expressions and identify excluded values.
00:00 -
LO2: Graph rational functions and analyze asymptotic behavior.
00:00 -
LO3: Apply rational expressions to model and solve real-world problems.
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 7: Exponential and Logarithmic Functions
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Week 7: Exponential and Logarithmic Functions
00:00 -
LO1: Explain the properties of exponential functions and their applications
00:00 -
LO2: Apply logarithmic rules to simplify expressions and solve equations.
00:00 -
LO3: Evaluate real-life growth and decay situations using exponential and logarithmic models.
00:00 -
Multiple-Choice Questions
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True/False (copy)
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 8: Mid-term Exam
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Mid-term Exam
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Short Answer Questions
Week 9: Complex Numbers and Radical Expressions
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Week 9: Complex Numbers and Radical Expressions
00:00 -
LO1: Define and represent complex numbers in standard form.
00:00 -
LO2: Simplify radical expressions and apply the laws of radicals.
00:00 -
LO3: Apply operations with complex numbers to solve quadratic equations.
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 10: Quadratic Functions and Their Graphs
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Week 10: Quadratic Functions and Their Graphs
00:00 -
LO1: Analyze quadratic functions and identify their vertex, axis of symmetry, and intercepts.
00:00 -
LO2: Solve quadratic equations using factoring, completing the square, and quadratic formula.
00:00 -
LO3: Graph quadratic functions and interpret transformations.
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 11: Inequalities and Absolute Value Equations
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Week 11: Inequalities and Absolute Value Equations
00:00 -
LO1: Solve Linear and Quadratic Inequalities
00:00 -
LO2: Evaluate absolute value Equations and Inequalities
00:00 -
LO3: Apply inequalities to model and solve real-world problems.
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 12: Systems of Nonlinear Equations
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Week 12: Systems of Nonlinear Equations
00:00 -
LO1: Solve systems of nonlinear equations algebraically and graphically
00:00 -
LO2: Analyze intersections of nonlinear functions on a graph.
00:00 -
LO3: Apply nonlinear systems to real-world modeling problems
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 13: Polynomial and Rational Inequalities
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Week 13: Polynomial and Rational Inequalities
00:00 -
LO1: Solve Polynomial Inequalities using Test Intervals
00:00 -
LO2: Evaluate rational inequalities and interpret solution sets.
00:00 -
LO3: Apply polynomial and rational inequalities to solve applied problems.
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 14: Function Operations and Inverses
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Week 14: Function Operations and Inverses
00:00 -
LO1: Perform operations on functions, including addition, subtraction, multiplication, and division.
00:00 -
LO2: Compose functions and interpret their results.
00:00 -
LO3: Determine and verify inverse functions, analyzing their applications.
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 15: Sequences, Series, and the Binomial Theorem
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Week 15: Sequences, Series, and the Binomial Theorem
00:00 -
LO1: Define arithmetic and geometric sequences and find their general terms.
00:00 -
LO2: Evaluate finite and infinite series using formulas.
00:00 -
LO3: Apply the binomial theorem to expand algebraic expressions.
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Key Terms and Concepts
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
Week 16: Final Exam or Project
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Week 16: Final Exam
00:00 -
Multiple-Choice Questions
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True/False
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Scenario – Based MCQs
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Short Answer Questions
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Written Assignment
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Presentation Task
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Role-Playing Activity
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Peer Review Task
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Exercises and Activities Adaptation
