A mathematical way to think about biology
Why "is" biology lognormal? Why do some circuits oscillate? See biology from a physical sciences perspective.
Created by David Liao  Physicist (PhD, Princeton 2010)
Students: 25799, Price: Free
A mathematical way to think about biology comes to life in this lavishly illustrated video book. After completing these videos, students will be better prepared to collaborate in physical sciencesbiology research. These lessons demonstrate a physical sciences perspective: training intuition by deriving equations from graphical illustrations.
"Excellent site for both basic and advanced lessons on applying mathematics to biology."
Tweeted by the U.S. National Cancer Institute's Office of Physical Sciences Oncology
Ultimate guide to math word problems Intermediate Part One
Learn to tackle word problems in the easiest way possible!
Created by Chanda Academy  Education provider
Students: 12239, Price: Free
**May 2016 update: Course completely redesigned with a lot of new questions to further improve your learning**
Welcome to Ultimate guide to maths word problems  Intermediate Part One. This course is tailored towards Grade 9 students who're looking to get a leg up on their ability to tackle the dreaded word problems. If you have significant trouble with problem solving questions, then I suggest you enrol in Ultimate guide to maths word problems  Beginners Part One and Part Two before attempting this course as we'll be building on a lot of the things covered in those two.
This will always be a FREE course. Once you've completed it and would like to test your skills further, then have a go at the Ultimate guide to maths word problems  Intermediate Part Two course.
What are word problems?
We all learn basic concepts like fractions, decimals, algebra etc. at school. We know how to add fractions or simplify algebraic expressions, but what stumps us is having to apply our knowledge to "real life scenarios". These are word problems. I'm sure you've come across these during your schooling. For example, The authors of a book are going to share the royalties in proportion to the number of chapters they have each written. Charlie wrote 4 chapters, Brad wrote 3 and Nigel wrote 5. If they need to share $24,000, how much will they each get? Show full working.
This is a typical ratiobased word problem. Not sure how to do these? Then let me help :)
A lot of students find these types of practical questions quite challenging to answer as they have trouble linking their basic knowledge of ratios in this case to the real life scenario at hand.
How will this course help you?
Every topic that I cover in this course will come up in some form in years to come. I go through every single topic in a step by step form so it's really easy for you to follow along. Not convinced? Then I suggest you check out the previews before you decide to enroll, to make sure my teaching style is easy to follow, I am very confident that it is. To go a step further, Udemy's 30day money back guarantee should also make you feel at ease.
What will this course have?
As I mentioned, this particular course is geared towards students in Grade 9. I will go through a number of problem solving / word problem questions, split into the different topics listed below. I go through each question in a systematical step by step manner making it super easy to follow along and adopt in your own workings.
What topics will the course cover?
The course will cover most topics that come up in these grades and are prone to have a lot of worded problems attached to them.
Indices, algebra, linear equations, geometry, trigonometry, ratios, finance, measurement, probability and quadratic algebra.
**BONUS** I've also added worksheets (with answers) for each topic to help you further test and implement your learning from the lectures.
**WARNING** I'm going to assume knowledge of how to perform the actual operations involved with these word problems. This course is only to show how to approach the word problems, NOT the operations behind them.
My next course will be Ultimate guide to maths word problems  Intermediate Part Two, where I will work through topics and questions, typically covered at the Grade 10 level i.e. one level harder than this course.
Why did I decide to create two intermediate courses?
If you're wondering this then that was because I saw that the level of difficulty jumps up heaps from Grade 9 to Grade 10 and some new concepts are introduced as well. So instead of piling everything into one course and confuse you, I decided to create two different ones so you could gradually go up in levels :).
Something missing in the course?
If you find I haven't covered a topic that you need at this level, let me know on the discussion board and I'll be happy to add it in :)
I can guarantee that you'll be miles ahead of the competition if you take this course seriously and best part about being able to do it all is that you can teach others as well. When you're willing to spend upwards of $50 an hour for a private tutor, it seems like a no brainer to at least give this a go, so that you have access to your very own private tutor any time you wish.
I'm good with messages and emails so if you have questions, make sure to get in touch with me. And furthermore, I want you guys to make full use of the discussion board because one of the best ways to learn is by sharing your knowledge with others. Thanks guys, really hope you enjoy.
Algebra Trigonometry – Polynomial and Rational Functions
Learn Polynomial and Rational Function and How to Work with Them
Created by Great IT Courses  Mathematics
Students: 10552, Price: Free
This course teaches you all the important underlying concepts in Polynomial and Rational functions in mathematics. The knowledge that you gain here can be further completed in our next courses towards a complete mastery of calculus.
This course covers the following topics:
 Quadratic Functions
 Power Functions and Polynomial Functions
 Graphs of Polynomial Functions
 Dividing Polynomials
 Zeros of Polynomial Functions
 Rational Functions
 Inverse and Radical Functions
 Modeling Using Variation
This course has been taken from chapter 5 of the book, "Algebra Trigonometry" from openstax, ISBN10: 1947172107. The book can be downloaded free of cost from their website. All chapters of the book have been planned to be produced as a video course by us. This course contains around 175 videos each averaging 15 minutes. Using this course, you'll learn polynomial and rational functions from scratch really well.
Also, this course can be taken as part of a series that will take you all the way up to mastering calculus. All the courses in the series will be taken from the same book described above and other calculus books from openstax. You can read our "Mathematics" page on "GreatITCourses" website to make yourself more familiar with our road map. A Google search will take you to our website.
Differentiation Made Easy: Learn to differentiate – Calculus
Learn to take derivative of functions (trigonometric, exponential, logarithmic & ...) ,Test your knowledge on Quizzes
Created by Alireza Eshghi  Math Instructor
Students: 8405, Price: Free
Videos: Every video covers a topic of differentiation. For every topic I solve some examples from simple to hard. I believe that we learn better with more exercises.
Quizzes: You can test your understanding and knowledge about a topic by taking a quiz ( All of them have complete solutions) . If you pass, congratulation. If not, you can review the videos again or look at the solutions of questions or ask me for help in the Q&A section.
Prep for GRE® Subject Math Exam – Module1:Basics
Solve subject math exam problems accurately and FAST!
Created by Gilad Pagi  GRE Subject Exam in Mathematics instructor
Students: 7798, Price: Free
This course is a prep course for the GRE Subject exam in Mathematics. If you wish to apply for a grad program in math, statistics and such, this exam is required.
This is the first module and includes all the precalculus material needed in order to excel in the exam. More importantly, the course teaches techniques for solving problems FAST (since in the exam you will have 2.5 min per question  very little time).
We will go over the following topics:
 Solving problems using graphs.
 Analytic Geometry.
 Polynomials
 Trigonometry
 Important formulas to memorize
 Most common derivative, antiderivatives and Taylor Expansions.
The course is designed to review all that is necessary to get you up to speed and get you solving real exam problems. Knowledge covered in this module is assumed for the rest of the modules.
See the free intro lecture to get more details.
GRE is a registered trademark of Educational Testing Service (ETS) in the United States and other countries. This content is not endorsed or approved by ETS.
Introduction to Trigonometry (Algebra 2 Unit 14)
Learn basic trigonometry and trigonometric skills.
Created by Matthew Gromlich  Math Teacher
Students: 7028, Price: Free
This unit is the first in a High School Algebra 2 curriculum. It teaches basic trigonometric concepts so that they can be applied to algebra 2 concepts later on. It can be taken by traditional high school students as well as High School Equivalency (HSE) students who are learning about geometric topics for their equivalency exams (GED, TASC, and/or HiSET).Topics include:
(1) Introduction to Trigonometry
(2) Special Right Triangles in Trigonometry
(3) The Other Three Trig Functions
(4) Solving Trig Problems
(5) Angles of Elevation and Depression
Each section has a related video, a video quiz, and a section quiz. The video quiz is to be taken along with or shortly after watching the video. The section quiz is to be taken after. To supplement the course, you can use any textbook.
This course should take approximately five to ten hours to complete.
Maths – Basic angles, distances and coordinates
The fundamentals of Pythagoras, trigonometry, coordinates and whole circle bearings
Created by Saffron Grant  Civil Engineer
Students: 6558, Price: Free
The format of the course is narrated explanations and calculations. Its exactly the way that I've explained these things to hundreds of students and how I would explain them if you were sitting next to me right now!
The course covers the very basic aspects of:
 Pythagoras
 Angles (degrees, minutes and seconds)
 Trigonometry
 Coordinates
 Whole circle bearings
The course assumes that you have zero knowledge of these topics so its perfect for you if you are:
 completely new to the topics
 need a refresher
 are struggling with these or related topics
NCERT Solutions for Class 10 Maths Chapter 8 Trigonometry
Step by Step NCERT Solutions for CBSE class 10 Trigonometry
Created by Phani Raju  Teaching math from last 7 years
Students: 5518, Price: Free
NCERT Solutions for Class 10 Maths Chapter 8 Trigonometry is a selfpaced course is designed to help CBSE Class 10 students to understand concepts and application through videos. You can view these Video lectures as many times as you want to clear the concepts.
Video Solutions has been prepared strictly as per latest syllabus issued by CBSE for the students associated with Class X.
Few of the features of the course:
 Points to remember
 Each Solution is explained with basic concepts
 NCERT solutions for Class 10 maths Chapter 8 Trigonometry Textbook Exercises
 Notes, Formulas, Definitions, Key points are included in the videos, while explaining each question.
 Easy to understand and remember
Concepts covered:
 Introduction to Trigonometry
 Trigonometric Ratios
 Trigonometric Ratios of Some Specific Angles
 Trigonometric Ratios of Complementary Angles
 Trigonometric Identities
 Relation between trigonometric Ratios
 Values of Trigonometric ratios in terms of the value of one of them.
Bonus: Selected RD Sharma Class 10 solutions of Trigonometry
Preparing for PreCalculus
Brush up on your skills before PreCalculus
Created by Brian McLogan  Current Active High School Math Teacher
Students: 4308, Price: Free
Are you ready for PreCalculus? Are you sure you know what you got yourself into? It doesn't matter if you struggled in Algebra 2 or thought it was a breeze. Most students struggle with the the same concepts not because they cannot understand the material in precalculus but because they lack or forgot those previous skills taught in earlier courses. Repetition is apart of learning and in this course we will be making sure that you see the core topics covered in each section just enough to make it stick.
Integration Made Easy (Short Version) – Calculus
Calculus 2 Learn different techniques of integration, U substitution, Part by Part, Partial fractions and much more...
Created by Alireza Eshghi  Math Instructor
Students: 3415, Price: Free
Videos: Every video covers a topic of Integration. For every topic I solve many many examples from very simple to hard. I believe that we learn better with more and more exercises.
1. Integrations Formulas
2. U Substitution
3. Integration by Parts
4. Integration of Rational Functions by Partial Fractions
5. Integration of Trigonometric Functions
6. Trigonometric Substitutions
& much more...
Practice set for Maths  Quiz and Riddle series
A fun way of learning and testing various Math Principles
Created by LetsTute Make it Easy  Experts in Mathematics, Science, Accounting & Art and Craft
Students: 3172, Price: Free
Mathematics a subject that studies quantity, structure, space and change. It involves a variety of calculations and requires a huge lot of practice. Many of us finds studying this subject a very boring task?
We thought how can it be made interesting for you?
So we have created this course named 'Fun with Math'. This course contains:
 a series of Math quiz named 'Some Stupid Math Mistakes' which contains various topics from General Mathematics and a few topics from Algebra and Geometry.
 a series of Math riddles where one needs to apply their math knowledge and logic to solve them.
Who can take this course?
The course can be taken by:
 beginners or intermediate level Math students or
 any parent or teacher who wants to make their teaching methods out of the ordinary.
What are the benefits of this course?
 One can test their basic Math knowledge and see the various math applications.
 One will also learn how to avoid silly math mistakes and thereby avoid loosing math.
 One will also learn to apply correct logic and smartly solve various math riddles.
Beginner to Expert in trigonometry part1
Learn to solve competition level questions. Also learn tricks and tactics used in trigonometry to solve questions.
Created by Pankaj gupta  Passionate about maths
Students: 1658, Price: Free
You will learn following

Importance of right angled triangle

Angles and their relations

Quadrants and angles in various quadrants

Introduction of various trigonometric ratios

Finding values of trigonometric ratios with basic angles

Finding values of trigonometric ratios of angles in other quadrants

proving three basic identities

Questions solving tricks of three basic identities
This will help you in solving calculus problems. This will help you to apply basic identities in trigonometry.
Basics of TRIGONOMETRY & All about TRIGONOMETRIC RATIOS
Learn Basics of Trigonometry and All about TRIGONOMETRIC Ratios with Approach to HEIGHT & DISTANCE Questions.
Created by CREATA CLASSES  CREATA CLASSES...... Adding Creativity to Learning
Students: 1174, Price: Free
UNDERSTAND BASICS OF TRIGONOMETRY & all about TRIGONOMETRIC RATIOS
This course EXPLAINS fundamentals of TRIGONOMETRY with help of Animation and other Visual Tools. The course is designed in scientific and CREATIVE way so that students can grasp the fundamental of Trigonometry.
Animation and other Visual tools are used, so that students can learn in Creative way, in totally different environment.
This course is for School Students and students preparing for competitive exams. This course will build your foundation very strong, as it also contains practical examples of Trigonometry in actual Life.
This course is also for Teachers, who want to teach their students in totally different and creative way.
After completing this course, you will be able to understand what actually a Trigonometry is and what is its practical significance. You will develop a strong and unbreakable foundation of Trigonometry that will help you in further progressing in Trigonometry.
WHAT MAKE US DIFFERENT FROM OTHER COURSES
 Better Understanding & Clarity through Animation & Visual Tools.
 Techniques to Approach Questions & fundamentals
 Experience of Industrial Professionals
 Question series with Assignments
CURRICULUM:
1.BASICS BEFORE START OF TRIGONOMETRY
Basics Before Start of Trigonometry
2.TRIGONOMETRIC FUNCTIONS & RATIOS
Introduction to Trigonometric Ratios (Sin/ Cos/ Tan)
Trigonometric Ratio of 45 Degree
Trigonometric Ratio of 30 & 60 Degree
Trigonometric Ratio of 0 & 90 Degree
Trigonometric Ratio Table & Related Observations
Trigonometric Function
QUESTION SERIES
Summary & How to Approach Questions.
Questions on Trigonometric Ratio’s.
Questions on Height & Distance.
Assignment
SAT and ACT Math – Basic Geometry concepts
Helpful for the SAT & the ACT exams
Created by Pooja JP  Math Tutor
Students: 929, Price: Free
Hi,
I'm Pooja. I'm a Software Engineer and a Math tutor.
I have created this course to provide helpful content or students preparing for competitive exams  SAT and ACT
You will find key concepts around which most of the geometry questions are asked in these exams.
Join the course and learn all the basics you need to know.
See you there :)
Learn Python NumPy for Machine Learning
Why Learn NumPy for Machine Learning?
Created by Saima Aziz  Instructor
Students: 745, Price: Free
Welcome to Learn NumPy for Machine Learning course. My name is Saima Aziz and I will be the instructor for this course.
In this course we will learn how to create Numpy arrays, learn some builtin functions, access values, broadcasting and manipulating arrays etc.
Python is a general purpose and high level programming language. You can use Python for developing desktop GUI applications, websites and web applications. We will learn Numpy from scratch, which is one of the most popular Python programming language library.
Numpy stands for ‘Numerical Python’. It is an opensource Python library used to perform various mathematical and scientific tasks. It contains multidimensional arrays and matrices, along with many highlevel mathematical functions that operate on these arrays and matrices. Moreover, NumPy forms the foundation of Machine Learning.
NumPy helps to calculate large quantities and common descriptive statistics. It is very useful for handling linear algebra, fourier transforms, and random numbers. It's high speed coupled with easy to use functions make it a favorite among Data Science and Machine Learning practitioners. Many of its functions are very useful for performing any mathematical or scientific calculation.
I encourage you to take the course from beginning to end to get the full learning experience. Some topics may be very easy for you and others will be challenging, but each topic should offer something of value.
Hope you will enjoy the course!
IB maths AA Complex Number (HL)
Complete course on the topic of Complex Number designed for IB Math AA HL by an IB examiner
Created by Kidd Cheung  Math, teaching and exam enthusiast
Students: 700, Price: Free
A free course on the topic of Complex Number, designed according to the latest syllabus of IB Math AA HL, under topic 1: Algebra
Designed to the need of an HL student. It also included exam question demonstrations to show IB exam skills.
This course is meant to be quick but covers all the essentials of the topic Complex Number.
Also check out my YouTube channel KIDD WSTWTY Math Channel and my Patreon Membership @ KiddCheung
Trigonometry Trigonometry Ratio Trigonometry Identities 
Trigonometry for academics
Created by Kuldeep Yadav  Director at UrbanGuru India
Students: 444, Price: Free
Trigonometry is an important branch of Mathematics. Generally many questions do come from this topic in competition exams. The course is useful for both beginners as well as for advance level. It covers following areas in details
· Introduction and Angle
· System of measurement of an angle
· Relation between three systems of angle measurement
· Trigonometric Ratios
· Fundamental Trigonometrical Identities
· Trigonometric Ratios of specific angles
· Trigonometric Ratios of Complementry Angles
· Application of Trigonometry (Height and distance)
· Signs of Trigonometric Ratios
· Trigonometric Ratios of Allied Angles
· Periodic functions
· Even and odd functions
· Formulae for Trigonometric Ratios of Compound angles
· Transformation Formulae
· Trig Ratios of multiple and submultiple angles
· Conditional Trigonometric Identities
· Graphs of Trig Functions
· Solution of trianglesLaws of sine, cosine and tangent Projection formula
· Half angle Formulae
· Circles connected with a triangle
· Trigonometric Equations
· Inverse Trigonometric Functions and its formulae
· Expressing one circular function into another and standard formulae
Each of the above topics has a great explanation of concepts followed by solved excellent and selected examples. Several quiz and problem sheets have been given at appropriate places for self evaluation of students .
Hope the course will develop better understanding and boost the self confidence of the students.
Requirements

You should be comfortable with the Fundamentals of Math.

You should be comfortable with basic Algebra, like equation solving.

A little Geometry is helpful, but not absolutely necessary.

We'll start the course by talking about angles, so if you know some algebra and geometry basics, you'll be wellprepared for the course.
Master Your Math – Properties of Triangles
PLANE TRIGONOMETRY  CLASS 11 MATH
Created by AFZALSIR'S INSTITUTE OF MATHEMATICS  Mastering Your Math
Students: 307, Price: Free
PROPERTIES OF TRIANGLES
CLASS 11  PLANE TRIGONOMETRY
By Mr.Mohammad Afzaluddin
About the Course:  This Course intends to cater the needs of the Grade 11 students who have prior fundamental overview on the types & shapes of triangles, based on its sides & angles and also are aware of the basic Triangle Formulae & theorems. This Course shall enhance their knowledge in the topics such as Sides & Angles of Triangle, Area of Triangle, SINE Rule, Projection Formulae, COSINE Rule, HalfAngle Formulae, TANGENT Rule & formulae using R, r, r1, r2, r3. By the end of this course it is expected that students will be able to master a minor part of the Plane Trigonometry Chapter.
About the Lecturer:  “MOHAMMAD AFZALUDDIN is a graduate from Osmania University (with First Class Honours), specialising in Pure Mathematics, Applied Mathematics and Statistics. Coming from a family of teachers, he is a born teacher with over four decades of teaching experience, and emulates a lot of the teaching that he gained from his father  an illustrious teacher in his own right.
His teaching and tutoring experience extends from Senior High School level through to Postgraduate students within the Engineering and Mathematics realms; as well as those seeking to bolster their understanding and performance for competitive Entrance exams at national and state levels.
The standout feature of Mr.Afzaluddin's teaching is that he introduces every topic from its very inception, and systematically addresses each level progressing therefrom.
We hope that students will derive great benefit from his vast knowledge and teaching style, conveyed succinctly and engagingly in these lectures."
Origins of the Sine Wave
A comprehensive lecture on understanding sinusoids and deriving the wave equation for audio
Created by Akash Murthy  Audio Programmer
Students: 266, Price: Free
Sinusoids are among the fundamental building blocks of any analog or digital audio signal. A single sine wave is said to be the purest tone you can audibly achieve, and because of this, they are used extensively as control signals for testing equipment and applications and plugins. But why? Why are sinusoids fundamental? And how are they formed? What even are they in the natural world? We’ll address all of this and more in the course.
The course starts from humbling beginnings where it looks at the geometry of right angled triangles, and explore a beautiful relation between static shapes and periodic functions. It takes a look at unit circles and deconstruct them to find that at the heart of all circles are periodic functions which we call sinusoids. It looks at all the attributes and properties of sinusoids and what real world effects they have when these properties are changed, and in that process derive an equation for a generic sine wave. And finally the course explores why they are fundamental in nature by observing how sinusoidal behavior is baked into every day objects that we might take for granted.
You don’t need to have any prior knowledge for this course. Any mathematics that appears in the course is accompanied by many illustrations and animations to visually paint a picture of these concepts. If you are getting started with digital signal processing, audio programming or if you’re just enthusiastic about understanding audio at a deeper level, this is a course for you.