Posted: 16 Apr 2014 12:00 AM PDT

With JEE (Advanced) 2014 just over a month away, it is time engineering aspirants pep-up their preparations for the exam.

The JEE (Advanced) question paper consists of questions from: Mathematics, Chemistry and Physics.

Students may find Mathematics a little overwhelming while preparing for the exam. Here are a few helpful tips for students which will them master the subject.

Paper pattern :

The exam consists of two objective type (MCQ) question papers, designed to test comprehension, reasoning and analytical ability of candidates. Both the papers will be held for a duration of three hours and are made of three separate sections on Chemistry, Physics and Mathematics.

Candidates can answer the questions in English or Hindi. Negative making is applicable for every wrong answer.

Mathematics syllabus :

Algebra -

Quadratic Equations and Expressions, Complex Numbers, Probability, Vectors and 3D Geometry, Matrices

Coordinate Geometry -

Circle, Parabola, Hyperbola

Calculus -

Functions, Limits, Continuity and Differentiability, Application of Derivatives, Definite Integral

Tips :

If we analyse the previous year JEE papers, they suggest that the candidates should pay more attention to Vectors and 3-D than Probability or Indefinite integration as vectors and 3-D offers very less scope to examiner, as far as variety in problem is concerned. Each year 2-3 questions are asked from Complex Number. Therefore mastering complex numbers, vectors, 3-D and Definite integral should be their top priority.

Students can make Algebra easier if they can harness the ability to picture functions as graphs and are good at applying vertical and horizontal origin shifts carefully as zeroes of functions and other specific values can be done in much less time using these techniques.
Differential calculus again relates well to roots of equations, especially if you use the Rolle's and Lagrange's theorems.
Students can use Complex numbers to solve questions in co- ordinate geometry too. Trigonometric questions require applications of De Moivre's theorem.
Permutation, Combination and Probability is another very important topic in algebra. Students have to be thorough with the basics of Bayes theorem, derangements and various ways of distribution, taking care of cases where objects are identical and when they are not.
Matrices can be related to equations, hence a 3×3 matrix can actually be visualized as being three-planed in 3D geometry. Determinants have some very nice properties, for instance, the ability to break them into two using a common summand from a row/ column, which should be made use of in tougher questions.
Integral calculus can be simplified using tricks and keeping in mind some basic varieties of integrable functions. Remembering the properties and applying them wisely saves lot of time.
Coordinate geometry requires a good working knowledge of the parametric forms of various conic sections and an ability to convert the other, tougher ones to these basic forms and then interpret the solutions accordingly.

The most important point to keep in mind is that Mathematics can only be mastered with regular practice. Hence the students should try and solve as many sample papers and problems as possible on a regular basis.

Why Do We Study Mathematics? | Online Learning Tips

Posted: 11 Jul 2012 06:00 AM PDT

There are many answers to this question. Some would think that it's just to pass the next quiz or final examination so they can move on to the next course in their program of study. Others will say it is totally unnecessary; and still others will claim they need math to balance checkbooks or for a promotion… There isn't a single answer that fully addresses the question, but there are many reasons that every student will come to appreciate math as they move forward with their academic endeavors.

Using Math in Everyday Life

Mathematics is an essential discipline in today's world. It is a powerful tool for understanding the world around us and our perspective of the important issues facing us as individuals, families, businesses, and nations. Math surrounds us; we see and use math skills and capabilities every day—from balancing our checkbooks to advertising agencies to doctors; from retailers to builders, lawyers and accountants. Everyone needs some level of specific mathematics knowledge. Most professions use math to perform their job better and to get ahead in the world.

Analytic Skills Obtained from Math in School

To succeed in college, there are general education mathematics requirements that help students develop critical thinking and quantitative analysis skills. Every university has general knowledge course requirements. American Public University requires that all students complete at least three semester hours in their mathematics general education. These general education courses develop the skills that students need during their more specific program courses. The general courses include computational skills, problem solving, data analysis, pattern recognition, and learning how to approach and solve complex problems.

Some mathematics courses are required as prerequisites for certain courses in your degree program. You won't be able to register for and pass some upper-level courses in your degree program unless you learn the required math concepts used in those courses. As an example, a student studying orbital dynamics must have a firm understanding of algebra and trigonometry, and a social scientist needs to comprehend the foundations of statistical analysis. As you proceed toward your degree, you will find that you need the technical and computational skills learned during your mathematics courses.

Technology and Logic

Technology is changing rapidly and the basis of many of these technological changes is mathematics and logic. These changes are so rapid that it would be difficult to predict the skills that people will need in the future workplace or at home in the coming years. But a good basis in mathematics, statistics, and technology will keep you agile enough to adapt to the advances in technology.

Blending Historically Implied Math with Current Concepts

Mathematics has evolved over many centuries to help solve problems. Math teaches us to think logically; to identify and state the problem clearly; to plan how to solve the problem; and then to apply the appropriate methods to evaluate and solve the problem.

We learn to evaluate and draw conclusions based on our knowledge. We are surrounded by a large number of statistical data and studies. To be a successful student and also an informed citizen, we should be able to evaluate these studies and the data they present in order to decide what is true or reasonable. Mathematics help you recognize mistakes in thinking or analysis that we encounter in our lives. How many advertisements or political polls have you seen lately? Do you have the quantitative skills to evaluate their messages? Mathematics can help.

Where Else is Math Applicable?

Math is more than a subject that everyone in school needs to take. Many believe that math is only needed in the Science, Technology Engineering and Mathematics fields (STEM). That's true, math is absolutely essential in those fields, but it is also needed in many other fields including economics, many of the social sciences such as psychology and sociology, and in many of the arts and humanities disciplines including art, music, and mass communications. Mathematics has been called "the universal language".

Numbers and mathematics help us keep score—not just in sports contests, but in measuring money, time, distance, cooking and baking, balancing a checkbook, planning an improvement project, and buying the necessary materials. Building a new deck on your house or finding the amount of material to build a fence are both good examples of mathematics in our daily lives.

Logic and quantitative reasoning attained in mathematics courses helps us make better decisions. Learning how to solve the hard challenges is an asset that will pay dividends throughout our lives. These challenges may be a complex statistical analysis or one of the many challenges you face in your life.

We also use numbers and mathematics for leisure. We play card games, electronic games, crossword puzzles, and Sudoku's. They all share a common element of mathematics.

In summary, a solid foundation in mathematics is an essential skill for students pursuing any academic degree and that same quantitative capability is necessary for success in life as well. University mathematics courses prepare students for both of those very important reasons.

By Bill Owen
Program Director for Mathematics, American Public University

As an adult educator, Mr. Owen's focus is on the use of sound analytical and managerial techniques to solve complex business and management issues. For the past four years he has served as the Program Director for the Mathematics Department, School of Science and Technology at American Public University System. He has a Master of Education in from the University of Oklahoma, he's attended the John F. Kennedy School of Government, and he has a Master of Science in Operations Research from the Georgia Institute of Technology.

Comments

comments

0 votes

Why Should I Study Mathematics in College? | Online Learning Tips

Posted: 04 Jun 2013 11:12 AM PDT

$taking-math-in-college$ By Dr. Tiffany DePriter
Mathematics Instructor, American Public University

Many people think mathematics is difficult to learn. It involves complex formulas and procedures and has little to no relevance to our daily lives. The truth is that mathematics goes well beyond complicated number crunching and serves as a foundation for many academic disciplines.

We all need mathematics skills

Have you ever considered purchasing a house, investing for retirement, or taking out a vacation loan? If so, then you've encountered mathematics. Have you made home repairs, like tiling a floor or planting a garden? If so, then you've used mathematics. While these examples highlight the practical use of mathematics, there is also underlying conceptual knowledge that extends beyond the mathematics classroom as well as the backyard garden.

Mathematics helps us to think critically and logically. It develops our problem solving skills, forcing us to think through a problem from beginning to end, methodically work through steps to solve the problem, and then check our work for accuracy. Being able to think and work in such a way is beneficial to any field.

Critical thinking skills are highly sought after by employers. Also, mathematician was recently ranked as one of the best career options. So whether you want to learn to be a better problem solver or move into a career that relies on having a sound mathematical framework, mathematics is a field that should be considered.

Learning math is like learning a language

Would you ever enroll in Spanish III if you haven't taken Spanish I or II? Could you have a conversation in Arabic without first having studied the language? Similar to a foreign language, mathematics is a language unto itself. First we learn the numeration system, then basic computation notation, and move to more advanced concepts. Learning to "speak" math takes time and practice, just like learning to speak a foreign language.

In a college mathematics program, a student might start with algebra, geometry, or trigonometry; move through the calculus sequence; and then tackle higher level mathematics such as real analysis and differential equations. Each of these courses builds on the previous courses. Students cannot master advanced concepts if the basics are not first learned and mastered.

We know that once language is learned and developed, it becomes second nature to speak, write, and communicate. The same is true of mathematics. While at first it might seem difficult to understand the rules of mathematics, with practice they too become second nature and will be your new language.

About the Author:

Dr. Tiffany DePriter is an Associate Professor of Mathematics in the School of Science and Technology at American Public University. She has a bachelor's degree in mathematics, a master's in distance education, and holds a Doctor of Education degree in Mathematics Education. Dr. DePriter has been teaching mathematics online for the past five years with American Public University.

Comments

comments

0 votes

Pages

Tips Study Mathematics Blog

Saturday, 6 September 2014

JEE (Advanced) 2014 : Study Tips For Mathematics | MATHEMATICIA

JEE (Advanced) 2014 : <b>Study Tips</b> For <b>Mathematics</b> | MATHEMATICIA

Related

Comments

Comments

No comments:

Post a Comment

Search This Blog

Popular Posts

Blog Archive