Online AP Calculus Tutoring at JC-PD LLC

Tricky topics for students in calculus 1 include limits and related rate problems. Derivatives and extrema problems require a methodical approach and are therefore not so difficult. In calculus 2, integration is much more challenging, especially with some integration techniques. In integration, many different approaches to solving these problems is required. In calculus 3, things become more complex. That can be stressful for students. The basics required for this class are included in calculus 1 and 2. Multiple dimensions can be challenging for young students. Breaking problems down and looking at each dimension separately can help.

I have been using calculus in my later course work and professional work for more than 40 years. I have always needed calculus in my work. The many courses that I have taken using calculus and advanced calculus build a permanent, deep understand of the subject. The first year of university physics does not require much calculus, but all later physics courses require a great deal of calculus and advanced calculus. Im my physics research, calculus and advanced calculus were used reqularly. I also majored in mathematics for my BS degree.

Mathematics is a subject which causes fear in many people. That fear is nothing but an imaginary obstacle to be overcome. Its overcoming can be achieved through small successes and significant practice, with additional support if necessary (such as a tutor). Nothing viewed with fear can be perceived accurately, so that is why there is always hope in overcoming math fear.

Practicing mathematics through problem solving is essential for all, whether there is or isn't fear. One's muscles in the arm and hand also help to learn and remember the actions of solving problems mathematically with a pen or pencil. One can recognize if sufficient practice has occurred when there is no need to memorize any part of the math topic at hand. In more advanced mathematics, where proofs are required instead of calculations, memorization is very important. It is good that greater experience in math allows one to learn and memorize math more quickly. In addition, if the material is not clear from a first reading, then several or so readings may be required. Each individual reading will add more understanding, albeit slow at times. Once one's background in the math area studied increases, less work will be required in the future. Of course, in most courses, the difficulty of the material also increases with time during the course. This may then cause a constant effort to be required.

Calculus is the springboard subject for all hard science and engineering degrees. How often calculus is used in a particular degree can vary, but it is very often used in physics, theoretical chemistry, EE, ME, and CHE. It is also used a great deal in statistics, data science, and machine learning. This should provide some motivation for learning calculus. It isn't really much more difficult than pre-calc or trig. The concepts are a bit more complicated and abstract, but a good background will help a great deal with that. The first three semesters of calculus nowadays do not usually require a deep understanding of the proofs given in calculus, which makes them applied mathematics courses. One must learn the methods used in calculus and practice them sufficiently to remember them. Some problems can be difficult, but there is easily findable help. Exams will rarely have difficult problems in any case.

Note that tutor's with a BS in math generally have a stronger math background that BEd tutors. Also, an MS in mathematics or advanced science and engineering degrees that heavily use mathematics, such as physics and EE, provide a stronger math background than that obtained by those with an MEd or higher in education. Education majors generally do not need to do the difficult and complex math that regular mathematicians, physicists, and engineers do. Theoretical physicists generally do a great deal of advanced mathematics in their study and research. Experimental physicists generally do less mathematics.