 Introduction to Advanced Mathematics Learning Path | Alison ## Mathematics - Introduction to Advanced Learning Path

Many jobs require basic mathematical skills to complete everyday tasks quickly and efficiently. Mathematical skills are also vital to everyday lives outside of the professional sector. The Alison learning path in mathematics goes from basic mathematical theories to advanced principles. This learning path will benefit you if you want to increase your mathematical skills for either your work or professional life. The Alison learning path in mathematics will take you from a low level of understanding to a more comprehensive advanced level. You will look at important mathematical principles such as algebra, geometry, statistics, and probability. You will learn about how to build on, and understand the implications which basic principles can have on complex problems. You will also have the opportunity to learn about what level of mathematical understanding is needed for the ACT and SAT math exams.

### Courses in this Learning Path

1. #### Fractions in Mathematics

What is a fraction anyway? A fraction is a number between zero and 1. It looks like one number on top of another number. That's not so difficult is it? With this course, learning fractions can become really simple. Anybody struggling with fractions can use it as a helpful study aid full of helpful fractions exercises, so they can get past this tricky little subject in no time. So go on, give the course a go and make learning fractions as easy as 1 2 3!

1.5-3 Hour
50 Points
2. #### Pre-Algebra Mathematics

The course will first guide you through important areas of Mathematics such as integers and one-step equations. You will then learn about inequalities, graphs, and functions. Basic but important Math principles including percentages and probabilities with then be laid out in simple language. You will also get an introduction to geometry, circle graphs, angles, parallel lines, and right-angled triangles, so that a wide range of future Math lessons will be easier for you. In this section you will also be shown how to measure the area and volume of shapes such as pyramids, prisms, cylinders and cones.

Next, you will learn how to evaluate expressions and identify properties. The course will then guide you through the meaning and calculation of a coordinate system, ordered pairs, and absolute values. Finally, you’ll get an introduction to some more advanced material, such as polynomials, binomials and factorisation, so that you will be more than ready for your future education in Math. To make everything as clear as possible (we know Math can be difficult) each lesson will include theory, examples, and video lessons.

By the end of this course, you will have gained Math skills that can open up a range of careers. You’ll also be much more able to get excellent grades in your next Math exam. Math skills are in great demand from employers around the world, and almost every student needs them. Despite this, very few people have strong Math skills. With this free course, and less than 5 hours of work, you’ll be standing above the crowd. So why wait?! Make Math easier, today.

4-5 Hours
50 Points
3. #### Sequences, Series and Equations in Mathematics

This course begins by teaching you about arithmetic sequences. You will learn that an arithmetic sequence is a sequence in which the difference between any two consecutive terms is the same. You will then study arithmetic series as well as geometric sequences and series. This course will then discuss the intersection of half-planes and show you how to solve linear and programming problems. You will also look into graphs, power graphs, and the linear representation of non-linear graphs.

You will then learn about Pythagoras who is a Greek mathematician who developed a theorem to find the length of the third side of a triangle. This course will also discuss the angle of elevation and depression, directions and bearings, contour maps, traverse surveys, compass bearings, and true bearings. You will look into ratio and proportion where you will learn that a ratio is a comparison between two like quantities in the same units. In addition, you will study ratio and proportion gears.

Upon the completion of this course, you will be able to calculate sequences and sequences, find the equation of a straight line, and know how to interpret graphs effectively. You will also better understand the positive and negative gradient in straight line graphs. This course will also ensure you gain a better insight into right-angled triangles, area of a triangle, the sine rule, cosine rule, Pythagoras' theorem, surface area, and volume so make sure to check out this course and enhance your math skills!

3-4 Hours
50 Points
4. #### Algebra in Mathematics

Do you know that the word algebra came from the Arabic word al-jabr. This word dates back to the title of a 9th-century manuscript written by the mathematician Al-Khwarizmi, who is known as the Father of Algebra. Now that you know whom to thank Algebra for, it's time to learn it. First, this course will clearly explain the basic operations of addition and subtraction, and will show you how to simplify quadratic equations. This will make your future algebra studies much easier.

This online Algebra course then applies Math to real-world problems. You will be given a good understanding of algebraic notation and be shown how to use algebra to calculate the cost of renting a car, the speed of a car, and temperature conversions. You will then be guided through the processes of simplifying, verifying, and expanding algebraic expressions. In no time at all, you will master binomial expressions, quadratic trinomials, and other algebraic concepts that used to make you scratch your head in confusion.

By the end of this Algebra in Mathematics course, you will have gained a much stronger understanding of algebraic fractions. This will make it much easier to get an A in your next Math test, or just to find the subject of algebra a little less overwhelming. This course is ideal for students looking for extra help, or even for a different approach to learning Math. So, check out the course and make finding your X's and Y's a lot easier today.

3-4 Hours
50 Points
5. #### Algebra - Functions, Expressions and Equations

An algebraic expression is a mathematical phrase that can contains ordinary numbers, variables such as x or y, and operators such as add, subtract, multiply, and divide. This course begins by discussing expressions and variables. You will learn how to compose expressions, equations, and inequalities. You will then study distributive properties and learn how to solve ratios and proportions. You will also study how to calculate with percentages. This course will also discuss linear equations in the coordinate plane and the slope-intercept form of a linear equation.

You will then study parallel and perpendicular lines, scatter plots, and linear models. You will learn how to solve linear inequalities, compound inequalities, and absolute value equations and inequalities. This course will also teach you about graphing linear systems, the elimination method for solving linear systems, and the substitution method for solving linear systems. You will also look into the properties of exponents and exponential growth. You will then look into monomials, polynomials, special factors of polynomials, and the polynomial equation in factored form.

Algebra is an important life skill since it moves us beyond basic math and prepares us for statistics and calculus. Upon the completion of this course, you will be able to use graphing to solve quadratic equations, simplify radical equations, simplify and multiply rational expressions, add and subtract rational expressions, and solve rational expressions. So, check out the course today, and start making algebra a lot easier!

1.5-3 Hour
50 Points
6. #### Geometry in Mathematics

Triangles are basic geometrical shapes that we meet everywhere around us. This course will first introduce you to different types of triangles. You will study equilateral, isosceles, acute-angled, right-angled, and obtuse-angled triangles. You will look into the different types of angles such as complementary angles, supplementary angles, and vertically opposite angles. You will also learn how to measure angles with protractors, explore angle sizes and sums in triangles, and study similar and congruent triangles.

Quadrilaterals are polygons with four edges and four vertices or corners. This course will discuss the different kinds of quadrilaterals and their properties. You will learn about equals sides, equal angles, and parallel lines. You will also look into the properties of a square, rectangle, trapezium, and more. This course will also cover polygons which are closed figures where the sides are all line segments. You will study regular polygons as well as the rational symmetry and line symmetry in polygons.

We are surrounded by space and things with different shapes and sizes. To be able to understand the wonder of the world's shapes and appreciate them, we need to have knowledge of spatial use. Geometry helps us in doing that because it provides the knowledge of how to deal with measurements and relationships of lines, angles, surfaces, and solids. So, check out the course today, and start learning something really interesting, in no time at all.

1.5-3 Hour
50 Points
7. #### Geometry - Angles, Shapes and Area

This course in Geometry is for high school and secondary school students. The course will guide you through several different areas of Geometry such as points, lines, angles, triangles, quadrilaterals and circles, as well as transformations and area. The course is divided into ten modules and each module is divided into several lessons. Under each lesson you will find theory, examples and video lessons. This course is ideal for learners who want to gain a comprehensive knowledge and understanding of topics in Geometry which they can build on in later courses.

1.5-3 Hour
50 Points
8. #### Statistics, Correlation and Regression in Mathematics

This online statistics course will first cover the main types of univariate data. Here, you will gain a strong understanding of categorical data and numerical data, which is further categorized into continuous data and discrete data. You will then learn how to display data using bar graphs and stem and leaf graphs. Next, you will study bivariate data and cover topics on dependent and independent data, stemplots and boxplots. You will also be guided through important statistical methods such as calculating the mean, median, and mode.

Next, the statistics course will introduce you to the concept of an interquartile range and teach you how to create boxplots. You will also study important aspects of data distribution, learn how to calculate and interpret seasonal indices, and how to deseasonalise data. Next, you will move on to the subjects of coefficients of determination, scatterplots, and calculating r. The course will wrap up with the topics on regression line, non-linear data, residual analysis, and trends.

This free statistics course is suitable for math students who are looking for a study aid to help them understand statistics a little more clearly. As the lessons also provide effective exam study techniques, they will also be great help for anyone preparing for examinations. So why wait? Check out the Statistics, Correlation, and Regression in Mathematics course today and start bringing your statistics skills to the next level.

1.5-3 Hour
50 Points
9. #### Probability and Chance in Mathematics

This Probability and Chance in Mathematics course introduces you to the mathematics of probability, chance and the analysis of data. The course begins by introducing data collection and analysis, graphs and frequency distribution. The course examines chance in the context of gambling, odds and probability. The course is of interest to anybody who needs to analyse mathematical data and is particularly valuable to students studying for exams.

3-4 Hours
50 Points
10. #### Differentiation and Functions in Mathematics

This intermediate math course continues our maths suite of courses. It covers rules and applications of differentiation, straight line graphs, graphing circular functions, logs and indices, the Binomial theorem, inverse functions, and factors of polynomials. This course is ideal for second-level students, anyone studying for an exam, and those interested in re-igniting their knowledge of mathematics!

1.5-3 Hour
50 Points
11. #### Mathematics Upper-Secondary 4 - Distributions and Integration

This course begins by introducing you to random variables. You will learn that a random variable is a variable whose value is a numerical outcome of some random experiment. You will study the discrete probability distribution, the mean and variance of a discrete random variable, and the standard deviation as a measure of spread. You will also look into normal distribution and its calculation of probabilities, binomial distribution and the binomial probability function, and hypergeometric distribution and the formula for calculating probabilities.

You will then look into the rules of integration. You will learn that antidifferentiation is the reverse of differentiation and you can use this process to find a function from a derivative. You will also study integration applications including areas, integral calculus, and definite integrals. You will study how to approximate an area and evaluate a definite integral where you will learn that areas above the axis are positive and areas below are negative.

This course will help you understand mathematical calculations in an easy, step-by-step process. Upon the completion of this course, you will understand the meaning of random variables and be able to calculate the discrete probability distribution of a set of random variables, continuous random variables, and normal distribution. You will gain a good knowledge of binomial probability function, distribution, hypergeometric distribution, rules of integration and integration applications so make sure to check out this course and enhance your math skills today!

1.5-3 Hour
50 Points

With this online course, which you can take anytime, anywhere, you can get a better understanding of advanced topics in math. Along with learning how to calculate complex numbers using the simple operations, you will also learn how to apply the DeMoivre’s Theorem and use polar form multiplication and division. The course will also give you a clear run-through of the relationship between graphs and their anti-derivatives, which will make your future math studies much easier.

Next, you will receive simple lessons in statistics, such as how to process nominal, discrete, and continuous data in frequency tables. You will then learn how to apply the product rule in calculus and easily perform calculations of differentiation. The course will then give you a good grasp of the concepts of anti-derivatives including hyperbolic functions, partial fractions, linear substitution, and odd and even powers.

If you are a student looking for a clear and free online math course to supplement your current math studies, this is the course for you. For many, math is quite boring and difficult, but once you get a clear understanding of core mathematical concepts, the rest of the subject can become much easier. This course will do exactly that. So, start the course now, and boost your math skills in no time at all.

3-4 Hours
50 Points

This course begins by teaching you how to successfully complete mathematics exams. You will then study differential equations which are mathematical equations that relate a function to its derivatives. You will also study the use of the second derivative, kinematics including how to find displacement from velocity and acceleration, and motion under a constant force and motion under a variable force. This course will then present you with advanced mathematics problems covering chemical concentrations and chemical reactions.

You will then study the resolution of forces which include static friction and angle of friction. You will look into vectors and learn how to find a cartesian equation and use a graphic calculator with parametric equations. You will also learn how to calculate the closest distance to a path. This course will then cover the differentiation and antidifferentiation of vectors including the notations used in vector calculus.

In this modern world where advanced-technology thrives, deeper knowledge in higher-level maths is crucial to success in many fields. This Advanced Mathematics course will ensure that your math skills are a cut above your peers, that your next maths exam is a little bit easier, and that this fascinating and important field of study becomes a lot more open to you. Start your next learning journey, today.

1.5-3 Hour
50 Points
14. #### Advanced Algebraic Concepts and Applications in Mathematics

This course is divided into 13 modules, and each module is divided into lessons with theories, examples, and video presentations for a clear study experience. Upon completion of this advanced linear algebra course, you will be able to simplify expressions and inequalities, and represent functions and linear equations on a graph. You will also be able to calculate equations with two or three variables, and will know how to operate with matrices and simplify polynomials and radical expressions.

In this course, you will also learn how to plot a quadratic function on a graph, solve conic sections, polynomial functions, rational expressions, and exponential and logarithmic functions. Solving geometric sequences and series, as well as the use of Binomial Theorem, are also part of the course outline. You will fully grasp the concepts of permutations, combinations, probabilities, and the trigonometric functions of angles, sines, cosines, and circular and inverse functions.

Learning algebra develops critical thinking skills, logic, patterns, and deductive and inductive reasoning. These are great skills not only for science and math but also for our daily activities. This advanced algebra course makes learning these topics simple and includes video explanations for effective and easy to follow learning. So, check out the course now, and gain a clearer understanding of algebra in no time at all, for free.

3-4 Hours
50 Points
15. #### ACT Math Exam

The subjects covered by ACT Math have been studied by most students by the end of their 11th-grade year. Most questions in the exam are self-contained while others may belong to a set of several questions. You might encounter several questions about the same graph or chart as you go along. This course will refresh your knowledge of basic formulas and computational skills to help you understand and solve the problems.

The material covered on the ACT Math test focuses on the major fields that are prerequisites to successful performance in entry-level courses in college mathematics. There are a total of nine scores reported for the ACT mathematics test: a total test score based on all 60 questions and eight reporting category scores based on specific mathematical knowledge and skills. You may use a permitted calculator, although you are not required to since all of the problems can be solved without a calculator.

Eight reporting categories are addressed in the ACT mathematics test. These are the Preparing for Higher Math category with subcategories that include Number & Quantity, Algebra, Functions, Geometry, and Statistics & Probability, the Integrating Essential Skills category, and the Modeling category. By the end of this ACT Math practice course, you will be more confident in taking the ACT Math so make sure to enroll in this course and ace your college admission test.

1.5-3 Hour
50 Points
16. #### SAT Math Exam

The SAT exam cover three subjects, namely Reading, Writing and Language, and Math. There is also an optional essay. SAT Math is composed of two sections. The first sections - during which you will have no calculator - is 25 minutes in duration and consists of 15 multiple-choice questions and 5 grid-in questions. The second section allows the use of a calculator and is 55 minutes in duration. It has 30 multiple-choice questions and 8 grid-ins, including an Extended Thinking question.

SAT Math covers twenty-four main topics, within four main sections. The first two sections are basic algebra and advanced algebra. The majority of questions on SAT Math will be on algebra and a maximum of 10% of questions will cover geometry and trigonometry. These sections will ask only basic questions on these subjects. This SAT Math practice course provides practice exercises and explanations that will help you solve these types of math questions easily.

Just knowing that algebra, geometry, and trig will be on SAT Math isn't enough; you need to know how questions on each of these subjects are worded in order to become familiar with the SAT and maximize your score. Upon completion of this course, you will have gained a thorough knowledge of all the math concepts that are presented in the SAT exam. This will be a great boost for your preparation, so why wait? Enrol in this course and ace your SAT Math!

3-4 Hours
50 Points

### Complete!

Successfully complete all of these courses to receive a Mathematics - Introduction to Advanced Learning Path Award. 