Math 102: College Mathematics
About This Course
This course covers topics ranging from real number systems to probability and statistics. You'll learn to use the midpoint and distance formulas, graph inequalities and multiply binomials. You'll also explore the properties of various shapes and learn to determine their area and perimeter. Our lessons are taught by professional educators with experience in mathematics. In addition to designing the videos in this course, these educators have developed written transcripts and selfassessment quizzes to round out your learning experience.
Course Topics
Category  Objectives 

Math Foundations  Learn about the different types of numbers, prime factorization, greatest common factors, least common factors and different parts of a graph. Study how to use the midpoint formula and the distance formula. 
Linear Equations  Study intercepts, standard form and graphing. See how to graph an undefined slope and zero slope and use a system of equations. 
Solving and Graphing Inequalities  Discover the definition of an inequality and how to graph them. Take a look at set notation, compound inequalities and systems of inequalities. 
Graphing and Factoring Quadratic Equations  Examine parabolas in standard, intercept and vertex form. Learn about multiplying binomials using FOIL and the area method. See how to complete the square. 
Complex and Imaginary Numbers  Learn about imaginary numbers and how they relate to complex numbers. Find out how to add, subtract, multiply, divide and graph complex numbers. 
Properties of Exponents  Study the five main exponent properties and learn how to define a zero and negative exponent, simplify expressions with exponents and simplify expressions with rational exponents. 
Properties of Polynomial Functions  Take a look at how to graph cubics, quartics and quintics. Discover how to add and subtract polynomials, multiply polynomials, divide polynomials with long division and use synthetic division to divide polynomials. 
Simplifying and Solving Rational Expressions  Learn how to multiply and divide rational expressions, add and subtract rational expressions and solve a rational equation. 
Properties of Functions  Study the basics and key terms of functions and domain and range in a function. Look at how to shift graphs on a plane, compose functions and apply function operations. Find out how to add, subtract, multiply and divide functions. 
Logarithms and Exponential Equations  Learn the definition of an exponential function and a logarithm. Study how to evaluate logarithms, solve exponential equations and solve logarithmic equations. 
Logic  Take a look at critical thinking and logic in mathematics, logical fallacies, propositions, truth values and truth tables. Find out about conjunctions, disjunctions, conditional statements in math, converse, inverse, contrapositive and counterexample. 
Sets  Study elements, intersections, unions, cardinality, types of subsets, disjoint, overlap, intersection and union. Learn how to find the Cartesian product and examine Venn diagrams and categorical propositions. 
Probability and Statistics  Learn how to calculate percent increase with relative and cumulative frequency tables and calculate mean, median, mode and range. Discover methods for calculating simple conditional probabilities, the probability of combinations, permutations and the probability of permutations. Learn about math combinations, shifts in the mean and the probability of independent and dependent events. 
Geometry  Study the properties of shapes (triangles, circles and rectangles), including perimeter, area and circumference. Look at how to identify similar triangles and the types of angles. 
100% developed This course is fully developed. You can use the lessons in this course to study for exams and supplement your learning right now.
Course Chapters
Math Foundations
All Videos in Math Foundations
Linear Equations
All Videos in Linear Equations
 1. What is a Linear Equation?
 2. Linear Equations: Intercepts, Standard Form and Graphing
 3. Abstract Algebraic Examples and Going from a Graph to a Rule
 4. Graphing Undefined Slope, Zero Slope and More
 5. How to Write a Linear Equation
 6. What is a System of Equations?
 7. How Do I Use a System of Equations?
Solving and Graphing Inequalities
All Videos in Solving and Graphing Inequalities
 1. What is an Inequality?
 2. How to Graph 1 and 2Variable Inequalities
 3. Set Notation, Compound Inequalities, and Systems of Inequalities
 4. Graphing Inequalities: Practice Problems
 5. How to Solve and Graph an Absolute Value Inequality
 6. Solving and Graphing Absolute Value Inequalities: Practice Problems
Graphing and Factoring Quadratic Equations
All Videos in Graphing and Factoring Quadratic Equations
 1. What is a Parabola?
 2. Parabolas in Standard, Intercept, and Vertex Form
 3. Multiplying Binomials Using FOIL and the Area Method
 4. Multiplying Binomials Using FOIL & the Area Method: Practice Problems
 5. How to Factor Quadratic Equations: FOIL in Reverse
 6. Factoring Quadratic Equations: Polynomial Problems with a Non1 Leading Coefficient
 7. How to Complete the Square
 8. Completing the Square Practice Problems
 9. How to Solve a Quadratic Equation by Factoring
 10. How to Use the Quadratic Formula to Solve a Quadratic Equation
 11. How to Solve Quadratics That Are Not in Standard Form
 12. Solving Quadratic Inequalities Using Two Binomials
Properties of Polynomials
All Videos in Properties of Polynomials
Simplifying and Solving Rational Expressions
All Videos in Simplifying and Solving Rational Expressions
Properties of Functions
All Videos in Properties of Functions
 1. What is a Function: Basics and Key Terms
 2. Functions: Identification, Notation & Practice Problems
 3. Transformations: How to Shift Graphs on a Plane
 4. How to Add, Subtract, Multiply and Divide Functions
 5. What Is Domain and Range in a Function?
 6. How to Compose Functions
 7. Inverse Functions
 8. Applying Function Operations Practice Problems
Logarithms and Exponential Equations
All Videos in Logarithms and Exponential Equations
Logic
All Videos in Logic
 1. Critical Thinking and Logic in Mathematics
 2. Logical Fallacies: Hasty Generalization, Circular Reasoning, False Cause & Limited Choice
 3. Logical Fallacies: Appeals to Ignorance, Emotion or Popularity
 4. Propositions, Truth Values and Truth Tables
 5. Logical Math Connectors: Conjunctions and Disjunctions
 6. Conditional Statements in Math
 7. Logical Equivalence: Converse, Inverse, Contrapositive & Counterexample
Sets
All Videos in Sets
 1. Mathematical Sets: Elements, Intersections & Unions
 2. Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)
 3. How to find the Cartesian Product
 4. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union
 5. Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets
 6. How to Change Categorical Propositions to Standard Form
 7. What is a TwoWay Table?
Probability and Statistics
All Videos in Probability and Statistics
 1. Understanding Bar Graphs and Pie Charts
 2. How to Calculate Percent Increase with Relative & Cumulative Frequency Tables
 3. How to Calculate Mean, Median, Mode & Range
 4. Calculating the Standard Deviation
 5. Probability of Simple, Compound and Complementary Events
 6. Probability of Independent and Dependent Events
 7. Either/Or Probability: Overlapping and NonOverlapping Events
 8. Probability of Independent Events: The 'At Least One' Rule
 9. How to Calculate Simple Conditional Probabilities
 10. Math Combinations: Formula and Example Problems
 11. How to Calculate the Probability of Combinations
 12. How to Calculate a Permutation
 13. How to Calculate the Probability of Permutations
Geometry
All Videos in Geometry
 1. Properties of Shapes: Rectangles, Squares and Rhombuses
 2. Properties of Shapes: Triangles
 3. Perimeter of Triangles and Rectangles
 4. Area of Triangles and Rectangles
 5. Circles: Area and Circumference
 6. The Pythagorean Theorem: Practice and Application
 7. How to Identify Similar Triangles
 8. Applications of Similar Triangles
 9. Parallel, Perpendicular and Transverse Lines
 10. Types of Angles: Vertical, Corresponding, Alternate Interior & Others
 11. Angles and Triangles: Practice Problems
 12. Properties of Shapes: Circles

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