Precalculus: Algebra, Functions, and Trigonometry

Rating 0 out of 5 (0 ratings in Udemy)

What you'll learn

The origin and history of Calculus
The definition of a set, and different notations involving relationships between sets and elements.
The set of Real Numbers, along with the definition Natural Numbers, Integers, and Rational vs Irrational numbers.
The definition of the absolute value, including inequalities and order properties
Bounded functions and sets in the set of real numbers
Algebra, including the quadratic equation, powers …

Rating 0 out of 5 (0 ratings in Udemy)

What you'll learn

The origin and history of Calculus
The definition of a set, and different notations involving relationships between sets and elements.
The set of Real Numbers, along with the definition Natural Numbers, Integers, and Rational vs Irrational numbers.
The definition of the absolute value, including inequalities and order properties
Bounded functions and sets in the set of real numbers
Algebra, including the quadratic equation, powers and roots
Geometry, including volume, area, and circumference for both 2D and 3D solids
Inequalities, including solving for a solution set around large polynomials
The coordinate plane, including distance, midpoints, slopes, and parallel vs perpendicular lines
Functions, including the domain, range, vertical line test, and odd vs even symmetry
Restrictions on domains for functions, involving vertical and horizontal asymptotes
Elementary functions such as rational functions, polynomials and trigonometric functions
Trigonometry, including the difference between degree and radian measure
Combinations of functions, including linear combinations and function composition

Description

Precalculus:Algebra, Functions and Trigonometry

1. Introduction to the course
A little about myself, and an overview of the course.

2. What is Calculus?
In this section, you will have a brief overview on the history of calculus and how it has come to its current state. (Optional Section)

3. Elementary Mathematics
In this section you will learn about sets, real numbers, boundedness, absolute value, algebra and geometry.

4. Inequalities and Solution Sets
In this section you will learn how to find a solution set to an inequality that may involve absolute values.

5. The Coordinate Plane; Analytic Geometry
In this section you will learn about the coordinate plane. Students will be exposed to finding the distance between two points on a plane, along with find the midpoint and slope of a line. Examples will include finding a line that is parallel or perpendicular as well as solve for the point of intersection.

6. Functions
In this section students will learn about the domain and range of a function. Moreover, students will learn about the vertical line test and how to graph a function. Lastly, we will apply some domain restrictions on a function and solve for the domain and range.

7. Polynomials and Trigonometric Functions
In this section students will learn about polynomials and their degrees. Additionally, we will be introduced to sine and cosine in a new way, along with understanding the difference between radian and degree measure.

8. Combinations of Functions
In this section students will learn about function composition and linear combinations.

Duration 2 Hours 58 Minutes

Paid

Self paced

All Levels

English (US)

Rating 0 out of 5 (0 ratings in Udemy)

Go to the Course
We have partnered with providers to bring you collection of courses, When you buy through links on our site, we may earn an affiliate commission from provider.