What does going out for dinner, mowing the lawn, buying a car, or decorating your home, planning a holiday have in common? Yes absolutely its math’s. Mathematical, reasonable and logical thinking play a part in each of these daily actions, and in many others. It’s almost impossible to conclude a day without using math’s in some or the other way, since our world is full of numbers to handle and problems to solve. A good understanding of math’s is important for making logic of all the numbers and problems life throws at us.
Mathematics is universally defined as the study of patterns of structure, change, and space. Mathematics has played and continues to play a critical role in expanding fields of science and technology because of its basic requirement that research needs to be able to calculate and precisely value the results of changes/advances. Mathematical formulas may be applied to test the operational and functional soundness, thus saving money and untold time.
Getting help with math problems and math homework is easy with TutorVista. Our math tutors are experts at Algebra I, Pre-Algebra, Algebra II, Geometry, Calculus, Pre-Calculus, Statistics and everything in between. Whether it’s before school, after school or midnight, there’s always a tutor online ready to help. You can get an online math tutor 24/7. Get help with specific math question around your calendar. Whether you're still learning the basics or mastering more difficult theories, we're ready to help.
is the study of math in high school and will mentor you through among other things one-step equations, integers, inequalities and equations, percent, graphs and functions, probabilities.
In Pre-Algebra you will study:
- New types of numbers such as integers, decimals, fractions and negative numbers
- Factorization of natural numbers
- Basics of equations, including rules for invariant manipulation of equations
- Evaluation of natural number arithmetic
- Simple (integer) roots and powers
- Properties of operations (associativity, distributivity etc.)
- Variables and exponentiation
- Rules of evaluation of expressions, operator precedence and use of parentheses
Algebra is a branch of mathematics that deals with properties of operations and the structures these operations are defined. Algebra is the language through which we describe patterns.
Algebra 1 is in high school and guides through expressions, systems of equations, functions, real numbers, polynomials, inequalities, exponents, radical and rational expressions.
Algebra 2 guides through linear equations, inequalities, matrices, graphs, polynomials and radical expressions, functions, quadratic equations, exponential and logarithmic expressions, sequences and series, probability and trigonometry.
Pre-Calculus connects Algebra II and Calculus. Pre-calculus involves graphing, dealing with angles and geometric shapes such as circles and triangles, and finding absolute values. You discover new ways to record solutions with interval notation, and you plug trig identities into your equations. In pre-calculus you deal with inequalities and you use interval notation to express the solution set to an inequality.
Pre-calculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others.
Topics under Pre-Calculus are:
- Parametric Equations
- Imaginary and Complex Numbers
- Probability and Combinatorics
- Sequences, series and induction
- Hyperbolic functions
- Fraction Expansion
Calculus is an advanced branch of mathematics that deals mostly with rates of change and with finding lengths, areas, and volumes.
- Differential Calculus cuts something into small pieces to find how it changes.
- Integral Calculus joins (integrates) the small pieces together to find how much there is.
In Calculus you will study:
- Antiderivative/Indefinite integral
- Sequence, series, and function approximation
- Integral Calculus
- Differential Calculus
is a branch of mathematics that involves study of shapes, sizes, patterns, and positions. It is concerned with the properties of configurations of geometric objects such as points, (straight) lines, planes, angles, parallel lines, triangles, similarity, trigonometry, quadrilaterals, transformations, circles and area.
Having said all that, some of the specific topics include:
- Angles, Triangles and right triangles
- Intersecting lines
- Perimeter, area and volume
- Analytic geometry
- Geometric constructions
is the branch of Mathematics that includes the study of angles and relationships between them. Trigonometry is closely linked with geometry. However trigonometry is concerned with actual measurements of angles and sides of a triangle, whereas geometry focuses on establishing relationships between unmeasured angles and sides.
Some of the topics include:
- Basic Trigonometry
- Graphs of Trigonometry functions
- Trigonometry identities and examples
- Unit Circle Definitions of Trig Functions
- Law of sines, cosines, tangents, cotangents
Probability is a branch of mathematics that deals with calculating the likelihood of a given event's occurrence, which is expressed as a number between 1 and 0. An event with a probability of 1 can be considered a certainty: for example, the probability of a coin toss resulting in either "heads" or "tails" is 1, because there are no other options, assuming the coin lands flat.
Probability is the coincidental that something will happen - how probable it is that some occurrence will happen.
Topics under Probability are:
- Independent and dependent Events
- Probability and Combinations
- Binomial Distribution
- Central Limit Theorem
- Normal Distribution
- Chi-Squared Test
- Conditional Probability
- Poisson Distribution
- Correlation Coefficient
- Uniform Distribution
The mathematics of the collection, organization, and interpretation of numerical data, particularly the analysis of population features by inference from sampling, is known as Statistics. Since much of the data we use when determining probable outcomes come from our understanding of statistics.
Topics under Statistics are:
- Inferential Statistics
- Describing and displaying data
- Experiments and sampling
- Linear regression and correlation
- Mean, Median, Mode and Range