Hi guys,
Okie, let's get the bad news out of the way first :confused:
Calculus (and maths in general) is one of those subjects where prerequisite knowledge and experience of solving 'easier' problems is necessary. This means, that the syllabus for precalculus has to be fairly well known to you.
Including, but not limited to; Algebra, Trigonometry, Complex numbers, Graphs and functions.
The study of the calculus I itself also (normally) follows a progressive route which is roughly; Limits, then Differentiation, then Integration.
Studying limits and answering problems on them is often harder than differentiating functions or evaluating integrals. Limits are a big part of real and complex Analysis (which is happily, very limited here). However, after hammering at limits, most (harder) limit problems in calculus I can be solved by differentiating the numerator and denominator until the answer appears, i.e. L'hopital's rule.
Manipulation of trig functions and identities is very much required, especially when dealing with integration by parts or trigonometric substitution.
Recognising graphs and being able to read properties such as potential degree or choosing which graph might be the differentiated/original/integrated is worth points.
de Moivre's theorem is in there, too; so you need those complex numbers.
Okie, enough battering us about the head with this nonsense.
Any book suited for a first class in calculus is suitable provided you have roughly the prerequisite knowledge. Whether this means the 'Teach yourself ...' or the '...for Dummies' is up to you. I used both of these titles and others to supplment my 'recommended' text when i did the maths several years ago.
You cannot pass calculus with flashcards. :eek: You must work up to and through the problems in a systematic manner so that you get enough practice.
If you can work through a calculus chapter or section, answer the questions, go back a day later and -recognise- the type of questions and answer them, you are doing the right thing.
Notice someone asking here has already passed Chemistry. Good job, this is a comparably tough subject in terms of progressive knowledge and problem-solving, so it's good to see you have form
Good luck guys.
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Bachelor of Science in Psychology, Excelsior College 2012
Master of Arts in International Relations, Staffordshire University, UK - in progress
Aleks
All courses taken, 12 credits applied
CLEP
A&I Literature (74), Intro Sociology (72), Info Systems and Computer Apps (67), Humanities (70), English Literature (65), American Literature (51), Principles of Mangement (65), Principles of Marketing (71)
DSST
Management Information Systems (469), Intro to Computing (461)
Excelsior College
Information Literacy, International Terrorism (A), Contemporary Middle East History (A), Discrete Structures (A), Social Science Capstone (A)
GRE Subject Test
Psychology (93rd percentile, 750 scaled score)
Straighterline
English Composition I&II, Economics I&II, Accounting I&II, General Calculus I, Business Communication
Progress history[/SIZE]