Math 119: Functions, Lines, Inequalities, Applications

Study Notes

Math 119: Exploring Functions, Lines, Inequalities, and Applications

In Math 119, we delve into the examination and application of mathematical concepts that will lay a strong foundation for your understanding of algebraic structures, functions, and inequalities. Throughout this course, you'll gain familiarity with the following topics:

Functions

Understanding function notation, domain, range, and graphical representations.
Composition, inverse, and one-to-one functions.
Linear, quadratic, exponential, logarithmic, and piecewise-defined functions.

Lines and Systems of Linear Equations

Slope-intercept form, point-slope form, and standard form of linear equations.
Solving systems of linear equations containing 2 variables using substitution and elimination methods.
Finding the equation of a line containing a point and is parallel or perpendicular to the graph of another line.

Substitution and Addition Methods

Solving systems of linear equations through substitution and addition methods.
Recognizing when one method is more advantageous than the other.

Applications Involving Functions

Interpreting and analyzing functions in real-world settings.
Describing relationships between variables using functions.
Writing and interpreting equations in context.

Applications Involving Inequalities

Solving linear inequalities in one variable.
Solving compound inequalities and absolute value inequalities.
Finding the intersection of sets defined by inequalities.

Slope and Mixing Problems

Calculating slope from a point and a midpoint.
Solving mixing problems, such as finding the amount of a solution needed to produce a given concentration.

As you progress through Math 119, you'll develop your problem-solving and critical-thinking skills while gaining valuable experience in applying mathematical concepts to real-world situations. With a solid grasp of the material, you'll be prepared to tackle more advanced courses in the fields of mathematics, computer science, and engineering.

Remember that Math 119 is designed to be an engaging and educational experience, so don't hesitate to ask questions and seek help from your instructor and classmates. With hard work, dedication, and a growth mindset, you'll be well on your way to mastering the material and achieving your academic goals.

Description

Explore functions, lines, inequalities, and their applications in Math 119. Topics include functions, linear equations, substitution methods, real-world applications, inequalities, slope, and mixing problems. Develop problem-solving skills and apply mathematical concepts in various scenarios.