MATH 115: Precalculus
Build a strong foundation in precalculus concepts to enhance your problem-solving skills and prepare for calculus success.
Course Overview and Learning Outcomes
Syllabus PDF
FREE PREVIEW1.1 Real Numbers, Order, and Absolute Value
Quiz 1.1
1.2 Exponents, Radicals, and Rational Exponents
Quiz 1.2
1.3 Polynomials: Operations and Factoring
Quiz 1.3
1.4 Rational Expressions
Quiz 1.4
1.5 Linear Inequalities and Absolute Value Inequalities
Quiz 1.5
1.6 Polynomial and Rational Inequalities
Quiz 1.6
1.7 Coordinate Geometry: Distance Formula, Midpoint Formula, and Circles
Quiz 1.7
2.1 Understanding Functions and Notation
Quiz 2.1
2.2 Domain and Range of Functions
Quiz 2.2
2.3 Graphs, Rates of Change, and Graph Behavior
Quiz 2.3
2.4 Piecewise-Defined Functions
Quiz 2.4
2.5 Combining Functions: Arithmetic Operations and Composition
Quiz 2.5
2.6 Transformations of Graphs
Quiz 2.6
2.7 Inverse Functions and Their Properties
Quiz 2.7
3.1 Linear Functions and Their Representations
Quiz 3.1
3.2 Graphing and Interpreting Linear Models
Quiz 3.2
3.3 Applications of Linear Functions
Quiz 3.3
3.4 Absolute Value Functions and Applications
Quiz 3.4
3.5 Quadratic Functions and Their Graphs
Quiz 3.5
3.6 Solving Quadratic Equations and Inequalities
Quiz 3.6
3.7 Data Modeling with Linear Regression
Quiz 3.7
4.1 Complex Numbers and Operations
Quiz 4.1
4.2 Power Functions and Higher-Degree Polynomials
Quiz 4.2
4.3 Analyzing Graphs of Polynomial Functions
Quiz 4.3
4.4 Polynomial Division Techniques
Quiz 4.4
4.5 Zeros and Factors of Polynomial Functions
Quiz 4.5
4.6 Solving Polynomial Inequalities
Quiz 4.6
4.7 Rational Functions and Their Graphs
Quiz 4.7
4.8 Solving Rational Equations and Inequalities
Quiz 4.8
4.9 Radical Functions and Inverse Relationships
Quiz 4.9
5.1 Exponential Functions and Growth/Decay Models
Quiz 5.1
5.2 Graphs and Transformations of Exponential Functions
Quiz 5.2
5.3 Logarithmic Functions and Their Meaning
Quiz 5.3
5.4 Graphs and Transformations of Logarithmic Functions
Quiz 5.4
5.5 Properties of Logarithms
Quiz 5.5
5.6 Solving Exponential and Logarithmic Equations
Quiz 5.6
5.7 Applications and Data Modeling
Quiz 5.7