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  1. math.stackexchange.com

    If engineering is your way: You have to work very much on problem solving. A possible way to approach the task, here it is. Start will "normal" calculus but now try to understand the concepts not just for computing answers but also try to understand what it means in real life. For example, say "limits". You must have studied those in high school.
  2. ed.stanford.edu

    Students learn math best when they approach the subject as something they enjoy. Speed pressure, timed testing and blind memorization pose high hurdles in the pursuit of math, according to Jo Boaler, professor of mathematics education at Stanford Graduate School of Education and lead author on a new working paper called "Fluency Without Fear."
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  4. Feb 15, 2024Start with easy issues and work your way up to the harder ones. Ask for Help When You Need It. If you're stuck on something, don't be shy about asking for help. Teachers, tutors, or even online forums can be great resources. Working with friends can also make learning more fun. Connect Math to Real Life.
  5. repertoiretheatreimprime.yale.edu

    Oct 30, 2024Use technology strategically to supplement your learning, but avoid relying too heavily on it. Remember, technology is meant to enhance your learning, not replace traditional learning methods. Tip 8: Join a Study Group Joining a study group can be an excellent way to learn math. Working with others who share similar goals and interests can ...
  6. mathbythepixel.com

    The truth is, you need to start with the right mindset before anything else. Your mindset is the way that you see and interpret the challenges that you face throughout your life. This includes the challenge of learning mathematics. One of the best things you can do to improve in math is to develop a positive mindset toward mathematics.
  7. Jul 15, 2024A great way to improve at math is to learn from your own mistakes. This way, you can improve in the specific areas that you're weakest in. ... Explain it to them as best you can, and solve a couple of problems with them to make sure you both get it. ... To become better at math, start by brushing up on basic math skills like addition ...
  8. Oct 24, 2024Start with arithmetic. In most schools, students work on arithmetic during the elementary grades. Arithmetic includes the fundamentals of addition, subtraction, multiplication and division. Work on drills. Doing a lot of arithmetic problems again and again is the best way to get the fundamentals down pat.
    950K views
  9. blog.khanacademy.org

    Sep 20, 2023AI-powered tools are changing the way students learn math. Personalized feedback and adaptive practice help target individual needs. Virtual tutors offer real-time help with math concepts while AI algorithms identify areas for improvement. Custom math problems provide tailored practice, and natural language processing allows for instant ...
  10. Jan 21, 2025From elementary basics to advanced university topics, start learning with a Wiingy tutor today! 7 Best ways to learn Math. If you want to master math, consistent practice is key. The following is a list of the best ways to learn math, including online tutoring and self-learning. #
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  1. I feel like it depends on where you are headed. If you want to make mathematics you future profession, the way you take will be different from what say an engineer will take. For example, in my case I am engineering student and i got to study plenty of calculus, probability and much of the fancy stuff but by the end of the day i still felt my knowledge of maths to be unsatisfactory(that's why i am on his site by the way).

    So on the way to achieving your goal, here is what i can tell depending on my experience.

    If engineering is your way:

    You have to work very much on problem solving. A possible way to approach the task, here it is. Start will "normal" calculus but now try to understand the concepts not just for computing answers but also try to understand what it means in real life. For example, say "limits". You must have studied those in high school. Understand carefully what it means. Try to find examples where this concept might fit. Here is an example: I am given a material whose 'flexibility' is modeled by a given function. And that function depends on temperature. Here limits may help you understand how the material behaves when the temperature tends towards a certain value. See ... Try to start thinking like that about concepts, not just solve some exercises - but don't get me wrong: exercises are of crucial importance in learning, but the difference between you and a maths software is that you must understand the why of every computation you are doing.

    Now a possible road map:

    I/ Calculus:

    1. Limits
    2. Differentiation
    3. Integration
    4. Series
    5. Gamma and Beta functions
    6. Integral transforms

      • Take a long pause after this be sure you really understand this stuff well
    7. Differential equations

    8. Vector calculus
    9. Complex analysis

    II/ Algebra

    1. Matrices and determinants
    2. Linear equations
    3. Vectors
    4. Eigen vectors and eigen values.

    From there you can go ahead and study other areas of interest mainly (i) Engineering optimization and numerical analysis (ii) Statistics and probability.

    Those two because as an engineer the sooner you start producing results, the better off you are.

    Starting with calculus is important because it has a lot of applications you can play with, it gives computational skills fast if you do exercises, has interesting concepts and forms the foundation of much mathematics engineers deal with.

    Possible books:

    • "Calculus" by Michael Spivak as already mentioned
    • "Differential and integral calculus" by Richard Courant
    • And some of the "(Applied) mathematics for scientists and engineers". I have no idea which one to recommend they are just so many and some are good.

    So basically, it boils down to

    • Understand concepts
    • DO exercises
    • Find practical applications to related the math to real world things

    If mathematics is your way:

    Now if you want to make mathematics your profession, you will need a different frame of mind. First i am neither a professional mathematician nor have i reached a level where i can say that i am thinking like one. Yet that is my goal too. So i will share with you what i have learnt so far.

    First, mathematicians, from i can tell so far, work differently from say physicists and engineers. When a you hit a theorem, don't go ahead and read the proof, first try to prove it yourself.

    That will form the basis of the mathematician in you.

    Here is the books i can advice to start with.

    1. "How to prove it, A structured approach" by Daniel Velleman. Nice book for an introduction to proofs. I like the idea of givens and Goal.

    2. "Book of proof" by Richard Hammack. Nice little book. You can either start with this one or Velleman. The thing i like with this one is that logic and set theory are separated in comparison with Velleman. - http://www.people.vcu.edu/~rhammack/BookOfProof/

    Once you are grounded in Set theory ( not too much though, whatever is provided by the two previous will be enough ) and proofs, continue with these:

    1. Either "Principles of mathematical analysis" by Walter Rudin
    2. Or "Topology without tears" by Sydney Morris - http://uob-community.ballarat.edu.au/~smorris/topbook.pdf
    3. Or "Abstract Algebra: Theory and applications" by Thomas Judson - http://abstract.ups.edu/index.html

    Always try to prove theorems before reading the proof. Every time you read a mathematics book, usually graduate level ( don't be concerned about these for now ), and they tell you that a certain amount of mathematical maturity is expected from the reader, what that simply means is that they expect you to be able to prove the theorems or at least follow the logical arguments.

    Mathematical literature

    Also I highly advice like others that you try to read about mathematics in the general sense. Some books you may start with, here they are.

    1. "God created the integers - the mathematical breakthroughs that changed history" by Stephen Hawking. Interesting books, this is!
    2. "What is mathematics" by Richard Courant
    3. "The music of the primes - searching to solve the greatest mystery in mathematics" by Marcus du Sautoy

    You may not be able to follow, the proofs in the two first books but nonetheless, you will enjoy the ride!!!

    So that's the best i can do for my level and I wish you good luck and success!

    --nt.bas

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