Pre Calculus, Calculus and Trigonometry (Udemy.com)
One Single Course to teach Pre Calculus, Calculus and Trigonometry with over 9 Hours of Lectures, Quizzes and Exercises.
Created by: Engineering Education Hub by Prateek Porwal
Produced in 2019
What you will learn
- Pre Calculus, Calculus and Trigonometry!
- More than 1,200 students from 130 countries!
- Over 9 Hours of Content!
- Lifetime Access!
- Certificate of Completion for you Job Interviews!
- By the end of this course you will be able to define functions, recognize them and cite examples thereof (pre calculus);
- define the domain and range of a function, find the domain and range of a function (pre calculus);
- define the average rate of change of a function, find the average rate of change of a function and solve problems based on them (pre calculus);
- define even and odd functions and cite examples thereof (pre calculus);
- determine if a given function is even, or odd, or none (pre calculus);
- define function compositions (pre calculus);
- find the composition of two functions and solve problems based on them (pre calculus);
- define the inverse function (pre calculus);
- find the inverse of a func
Quality Score
Overall Score : 88 / 100
Course Description
Pre Calculus, Calculus and Trigonometry are all important topics of math. "Calculus" isthemathematics of changeand because everything in the world is changing, calculus helps us track those changes.
It isused in many majorfields of modern era like Computer Science,Game Designing, Animation, Mathematical Researches,Statistics &Probability,etc. "Trigonometry" deals with the measurement of sides andangles oftriangles and is used many fields includingVideo Game Designing,Constructions,Flight Engineering,Satellite Navigation System, Oceanography, Astronomy, etc. Knowledge of "Pre Calculus" helps usto understand Calculus better and is good to learn before learning Calculus.
You will learn the following concepts in this course: UnderstandFUNCTIONS, learn to Recognize Functions (including the vertical line test)and cite examples thereof; (Pre Calculus)Understand the Domain and Range of a function andlearn tofind them fora givenfunction;(Pre Calculus)Understand the Average Rate of Change of a function, learn tofind the Average Rate of Change of a function and solve problems based on them;(Pre Calculus)Learn about Even and Odd Functions and cite examples thereof;(Pre Calculus)Learn to determine if a given function is Even, Odd, or neither;(Pre Calculus)Learn about Composition of Functions(composite functions), learn tofind the Composition of Two Functions and solve problems based on them;(Pre Calculus)Learn about the Inverse Function, learn tofindthe Inverse of any givenFunction;(Pre Calculus)Understand the Absolute and Relative Maxima and Minima of a Function, learn to Find the Absolute and Relative Maxima and Minima of a givenfunctionfrom graphs; (Pre Calculus)Understand TRIGONOMETRY, understandTriangles, the Types of Triangles, and cite examples thereof; (Trigonometry)Learn the Properties of Triangles and solve problems based on them;(Trigonometry)Understand Pythagoras Theorem, and use it to solve right triangles;(Trigonometry)Learn Trigonometric Functions sin, cos, tan and find them for any given right triangle;(Trigonometry)Learn Trigonometric Functions cosec, sec, cot and find them for any given right triangle;(Trigonometry)Learn aboutthe Trigonometric Functions of Standard Angles of Trigonometry (namely 0 degree, 30 degree, 45 degree, 60 degree and 90 degree);(Trigonometry)Understand Complementary angles, Learn to findFind the Complementary Angle of any given angle;(Trigonometry)Master all the Trigonometric Identities namely,Complementary Angle Identities, Pythagorean Identities, Sum and Difference of Angles Formulas, Negative Angle Identities, Sum to Product Formulas, Product to Sum Formulas, and apply these Trigonometric Identities in solving problems;(Trigonometry)Learn to Find the Trigonometric Function values of Non-Standard Angles (like that of 75 degree, 22.
5 degree, etc.) using Trigonometric Identities;(Trigonometry)Understand Laws of Sines and Cosines and use them to Find the Unknown Sides and Angles of a given Triangle;Learn about Similar Triangles;(Trigonometry)Understand the Conditions for Similarity of Two Triangles;(Trigonometry)Learn to Prove the Similarity of Given Triangles;(Trigonometry)Learn the Properties of Similar Triangles and solve problems to Find Unknown Sides and Angles of Similar Triangles; (Trigonometry)Understand the concept ofLIMITof a Function, learn to Find the Limit of a function using graphs; (Calculus)Understand One-Sided Limits (left hand and right hand limits, learn to Find One-Sided Limits from graphs and solve problems based on them;(Calculus)Understand the CONTINUITY of a function, learn to Find the Continuity of a given function from graphs and solve problems based on them;(Calculus)Detailed understand of DERIVATIVES;(Calculus) Learn about the Standard Derivative Formula (the first principle) and use itfor finding the derivatives;(Calculus)Learn the Different Derivative rules such as Derivative of a Constant, Multiplication by Constant, Power Rule, Sum Rule, Difference Rule, Product Rule, Quotient Rule, Reciprocal Rule and the importantChain rule;(Calculus)Learn to Find the Derivatives of functions using the Different Derivative Rules (with lots of examples on the same);(Calculus) Learn to Find Derivatives of Trigonometric Functions (a.
k.
aTrigonometric Derivatives) (with lots of practice examples);(Calculus) Learn to Find Derivatives of Exponential Functions (a.
k.
a Exponential Derivatives) (with lots of practice examples);(Calculus)Learn to Find Derivatives of Logarithmic Functions (a.
k.
a. Logarithmic Derivatives) (with lots of practice examples);(Calculus)Overall, after completing this course,you will have a very clear understanding of the topics of Pre Calculus, Calculus and Trigonometry covered in this course, with sound ability to solve problems.
Who this course is for:
Math Majors.
Engineering Majors.
Working Professionals.
Anybody interested in learning Functions (Pre Calculus), Trigonometry and Calculus 1.
Instructor Details
- 4.4 Rating
74 Reviews
Engineering Education Hub by Prateek Porwal
I'm Prateek Porwal, your Instructor at Udemy. I'm a graduate (with Honors) of one of the most prestigious colleges of India- IIT-BHU (Indian Institute of Technology, BHU). After working as an Engineer for 3 years, I decided to quit my highly paid job to pursue my passion towards teaching and never turned back. I have taught thousands of students so far in the fields of Mathematics, Physics and Electrical/Electronics Engineering and is continuing to do so without any tiredness.
Teaching is the job I love and can do it throughout my life. I teach people on a daily basis and my students are all over the world. I always wish to deliver to the needs of all kinds of my student audiences and aim to fulfill their educational interests by sharing my knowledge in the best way possible.
I have published two Courses on Udemy so far in the field of Mathematics and they are doing great service to the students on Udemy. You would love to be a part of them and I really hope to see you as one of my students.
Happy learning!
More teaching & academics courses
Quran Level 1 - Qaida Nuraniyah - Adults Edition 2019 (2019)
5.0 (21 Reviews)
Provider: Udemy
Time: 10.5h
$11.99
The Golden Angelic Ray of Healing Teacher Training Course (2021)
4.9 (196 Reviews)
Provider: Udemy
Time: 3h
$11.99
Teach on Udemy- Become an Online Instructor - Unofficial (2021)
4.9 (42 Reviews)
Provider: Udemy
Time: 3.5h
$11.99
Develop Blockbuster Story Ideas that Sell! (Writing Mastery) (2021)
4.8 (312 Reviews)
Provider: Udemy
Time: 1.5h
$11.99
Inspirational Screenwriting. The #1 Screenwriting Course! (2016)
4.8 (311 Reviews)
Provider: Udemy
Time: 3h
$11.99








