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Precalculus
MAT201 | 4 Credits
In this Precalculus course, you’ll gain a working knowledge of precalculus and its applications. That includes solving and graphing equations that involve linear, polynomial, exponential, and logarithmic functions. You’ll also learn how to graph trigonometric and inverse trigonometric functions.
Professor: Ms. Sayali Deshpande
About Precalculus
What You’ll Learn
This course provides a working knowledge of concepts and applications of equation solutions, graphs, and trigonometry. It begins with a review of algebraic basics. Emphasis is on linear, polynomial, exponential, logarithmic, and trigonometric functions and their graphs. Students will model scenarios with all of these functions and with graphs. They will also use trigonometric identities to simplify expressions. Other topics include series and sequences, systems of equations, and matrices.
- Solve linear, quadratic, exponential, trigonometric, and other equations and inequalities.
- Model scenarios with linear, quadratic, exponential, trigonometric, and other equations and inequalities.
- Create and interpret graphs of various functions.
- Apply degree and radian measures to solve real-world problems.
- Use reference angles and the six trigonometric ratios to identify points along the unit circle.
- Evaluate and simplify trigonometric expressions.
- Use trigonometric functions to solve a right triangle and apply the Law of Sines and the Law of Cosines to solve triangles that are acute or obtuse.
- Differentiate between Cartesian coordinates, polar coordinates, and vectors.
- Solve systems of linear equations and inequalities by hand and with matrices.
- Calculate the nth element of a sequence and the sum of a series.
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WANT US TO CHECK?Course Details
This online course provides you with a working knowledge of Precalculus and its applications.
ACE-Recommended
ACE Code:
OOSL-0003
Flexible Schedule
30-day Average Course Completion
Mathematics Courses Have Transferred 10,600 times
$1,000,000 Saved on Tuition
Prerequisites
It is suggested, but not required, that students take a College Algebra course or its equivalent before enrolling in Precalculus.
Course Text
The required eTextbook for this course is included with your course purchase at no additional cost.
- Miller, Julie, and Donna Gerken. Precalculus, 2nd edition, McGraw-Hill, 2023. ISBN: 9781260260458
Course Checkpoints
Review of Prerequisites
- Number Sets
- Rational Expressions
- Operations on Exponents and Radicals
- Solution of Polynomials by Factoring and Other Methods
- Application of Equations
- Linear, Compound, and Absolute Value Inequalities
Functions and Relations
- Rectangular Coordinates and the Graph of a Line
- Graphs of Circles
- Functions and Relations
- Linear Equations and Functions in Two Variables
- Transformations on a Graph
- Test for Symmetry
- Graph of Piecewise Defined Functions
- The Algebra and Composition of Functions
Polynomial and Rational Functions
- Quadratic Functions and Applications
- Polynomial Functions
- Zeros of Polynomials
- Graphing Polynomial Functions
- Rational Functions
- Graphing Rational Functions with Asymptotes
- Polynomial and Rational Inequalities
- Variation
Exponential and Logarithmic Functions
- Inverse Function
- Exponential and Logarithmic Functions
- Applications of Exponential and Logarithmic Equations
- Modeling with Exponential and Logarithmic Functions
Trigonometric Functions
- Special Angles and the Unit Circle
- Graphs of Basic Trigonometric Functions
- Applications of Basic Trigonometric Functions
- The Inverse Trigonometric Functions and Their Applications
Analytic Trigonometry
- Family of Trigonometric Identities
- All Trigonometric Formulas
- Trigonometric Equations
Applications of Trigonometric Functions
- The Law of Sines
- The Law of Cosines
- More Applications of Trigonometry
Polar Coordinates and Vectors
- Relating Polar Coordinates to Rectangular Coordinates
- Graphic Polar Equations
- Vectors
- Dot Product of Vectors
Systems of Equations and Inequalities
- Solving Systems of Linear Equations Graphically, by Substitution, and by the Addition Method
- Solving Systems of Nonlinear Equations in Two Variables
- Systems of Inequalities in Two Variables
- Linear Programming
Matrices
- Solving Linear Systems
- Using Matrix Equations
Sequences and Series
- Terms of Sequences and Series
- Summation
- Arithmetic Sequences and Series
- Geometric Sequences and Series
Assignments & Grading
Your score provides a percentage score and letter grade for each course. A passing percentage is 70% or higher.
Assignments for this course include:
- 4 Reviews
- 3 Quizzes
- 2 Exams
- 1 Final Exam
This course has a closed book proctored Final Exam. Scientific and/or graphing calculators are allowed throughout the course.
What You’ll Need
- A reliable computer or laptop
- Stable internet connection
- Web browser
- Basic computer skills
- Any required course materials
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Course Professor
Ms. Sayali Deshpande
Ms. Sayali Deshpande is a passionate math educator, specializing in algebraic reasoning and mathematical foundations for college learners.
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Real, human feedback to help you ace your assignments
Exam and certification prep tools
Real, human feedback to help you ace your assignments
Professional development assistance
Resume-building resources
Professional development assistance
Faculty Connect portal
Resume-building resources
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Precalculus & Your Career in STEM
Precalculus will help you connect basic math and the world of advanced mathematics — it's where everything comes together, so you’re ready for calculus and beyond! Whether you go on to become a data scientist, actuary, software developer, or financial manager, a strong basis in calculus will give you the tools you need to be successful in your career.
Why it matters:
- New jobs for mathematicians and statisticians are projected to grow 11% between 2023–2032 — that’s 3× higher than the average.
- Want to level up your math skills? Precalculus prepares you to tackle complex problems by connecting algebra with the power of functions, graphs, and analytical reasoning.
In-demand careers in this field include:
Data Scientist, Actuary, Statistician, Operations Research Analyst, Quantitative Analyst, Mathematical Modeler, Cryptographer, Financial Analyst, Market Research Analyst, Software Engineer
How this course sets you up for success:
Precalculus gives you a strong foundation for your higher-level STEM courses. You'll sharpen your analytical thinking and problem-solving skills, giving you a good start for your career in engineering, data science, or economics.
Course included in Unlimited Plans
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