Precalculus

Course Details

This course is delivered by Westcott Courses in partnership with Brandman University

MATU 104 - Precalculus

Prerequisite: Intermediate Algebra with a grade of C or better.

Course Description: This course was designed to emphasize topics which are fundamental to the study of calculus. The student will analyze functions in depth including transformations, inverses and compositions, while paying particular attention to quadratic, polynomial, rational, exponential and logarithmic functions and their graphs. Other topics include right triangle trigonometry, trigonometric identities and equations, vectors, complex numbers, laws of Sines and Cosines, the binomial theorem, arithmetic, geometric sequences and series, systems, partial fractions, matrices and determinants, conic sections and probability. The student will solve applications and modeling problems related to the above topics. Upon completion, students will be able to solve practical problems and use appropriate models for analysis.

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Enrollment Schedule: Enroll any day of the year, and start that same day. Students have five months of access, plus a 30 day extension at the end if needed. Students can finish the self-paced courses as soon as they are able. Most students finish the lower level courses in 4 - 8 weeks. The upper level math classes, such as Calculus and above, usually take students 3-4 months. (Note: The 30-day extension cannot take your total course time six months beyond the date of enrollment. At the end of the six months, we must post a grade with the university.)

Duration

5 months to complete

Single 30 day extension if needed

Estimated Cost

$498

Payment Plan: First payment of $277.40 and a second payment 30 days later of $227.60.

Ways to Learn

Online

Credit

3 academic credit

Lower Division, UG

Program Partner

We partnered with with Westcott Courses to offer online remedial, general education and other courses that count towards degree completion.

Upon successful mastery of this course, you will be able to

  • Represent functions verbally, numerically, graphically and algebraically. Demonstrate a fundamental concept of the mathematical function and its properties such as inverse, domain, range, addition, subtraction, product, division, and composition.
  • Sketch graphs, appropriate transformations and inverses for polynomial functions, rational functions, trigonometric functions, exponential and logarithmic functions, rational functions, piece-wise functions, and conic sections.
  • Analyze the graph of a function and determine the intervals where the graph is increasing, decreasing and constant. Find the minimum and maximum values of the function and apply these concepts to applications in the physical world.
  • Solve a variety of equations, including linear, polynomial, rational, radical, trigonometric, exponential and logarithmic.
  • Solve a variety of systems including linear, nonlinear and inequalities using graphical and algebraic techniques. Solve real-world applications modeled by these systems.
  • Use the Rational Root Theorem, Fundamental Theorem of Algebra and other techniques to find the zeros of a polynomial function. Be able to factor a polynomial into linear factors over the complex numbers.
  • Perform operations with matrices, such as addition, subtraction, scalar multiplication and matrix multiplication, including applications with matrices. Use matrices to solve systems of linear equations including the Gauss-Jordan elimination method, and the inverse of a matrix.
  • Identify and express conic sections in standard rectangular form, graph the conics, and solve applied problems.
  • Express general terms of an arithmetic and geometric sequence. Write series in summation notation, find the sum of an arithmetic and geometric series, and use the Binomial Theorem to expand powers of binomials.
  • Determine the sample space of an event and calculate the probability of an experiment.
  • Recognize a language description, geometric and algebraic representation, and be able to transfer from one form to the other.
  • State the basic trigonometric definitions and apply them to the acute angles of a right triangle.
  • Analyze and interpret trigonometric functions using graphs, tables and equations.
  • Graph the basic trigonometric functions and apply changes in period, phase and amplitude to generate new graphs.
  • Describe the measure of an angle in both radians and degrees, convert angles measured in degrees to radian measure and vice versa.
  • Demonstrate an understanding of vectors, their graphical representation and vector algebra.
  • Apply the Law of Sines, and the Law of Cosines in various types of applications.
  • Prove trigonometric identities.
  • Model situations from a variety of settings using trigonometric functions. Apply a variety of problem-solving strategies, including algebraic, numerical and graphical techniques to solve multiple-step problems involving trigonometric equations and identities.
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Course Topics:

  • Functions and their Graphs
  • Polynomial and Rational Functions
  • Exponential and Logarithmic Functions
  • Trigonometric Functions
  • Radian Measure & Trigonometric Identities
  • Additional Trigonometry Topics
  • Systems of Equations
  • Matrices
  • Sequence, Series, Counting and Probability
  • Conic Sections
 
 
 
 
 
 
 
 

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Earn your credit in 4 simple steps

Step 1
Register and enroll in your course via Westcott Courses.

Step 2
Once you enroll, Westcott Courses will forward your registration to Brandman University.

Step 3
You will be working directly with Westcott Courses from the beginning to end of the course.

Step 4
Once your course is completed, your grade will be posted with Brandman University and you can then order a transcript.


Resources

Syllabus

How it Works

These individual courses are available to anyone in the public who would like to enroll in a math or general education course. Unlike traditional colleges where one must enroll in a degree granting program, Westcott Courses offers individual courses where filling out a one page form makes the course immediately available. Westcott Courses is the teacher of the course and your official transcript with academic semester credits will come from one of our partner universities which are regionally accredited by WASC. Westcott Courses does not appear on the transcript; the transcript will show our courses the same way it would show a traditional class taken on the universities campus without being enrolled as a regular student. View transferring the credits.


Teachers for the Course

The classes are self-paced; however, a teacher is attached to each course who holds at least a master's degree in their field of study (or related). Most of our teachers are teachers who teach the exact same course on either a California State University or California Community college campus.


Omega MathTM Courses

Courses that have the trademark of "Omega MathTM Courses", are courses that have been written by our Omega Math team, and have a format that students love! These courses contain all the lessons, homework, solution manuals, quizzes, tests and the final. Students can take each test and quiz twice, and only the higher of the two scores counts towards their grade. This feature enables students to figure out what they did wrong before pushing forward, providing them with a deeper understanding of the course material.

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