Calculus 1: The Complete Guide
Learn fast through concise yet contented lectures
What you’ll learn
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Pre-Calculus materials, including number sets, exponents, proof by induction
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All sorts of functions (polynomial, exponential, trigonometric, hyperbolic)
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Inverse functions, logarithms, complex numbers, Argand diagrams
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Euler’s formula, multiplication of complex numbers, polar form, double-angle formulae, de Moivre’s theorem, roots of unity and complex loci
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Limits, continuous functions, intermediate value theorem
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Sandwich theorem, logarithmic vs polynomial vs exponential limits, differentiation from first principles, product rule and chain rule
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Derivatives of implicit functions, inverse functions, parametric functions, differentiable functions
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Mean value theorem
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Integration, the Riemann integral, fundamental theorems of Calculus
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Indefinite and definite integrals, integration by substitution, integration by parts, recursion relations, partial fractions
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Volumes of revolution, length of a curve, infinite sums, convergence criteria, power series
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Taylor’s theorem, l’Hôpital’s rule
Requirements
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Basic differentiation and integration would make it very easy for you 🙂 (but not required as I will quickly go through them)
Who this course is for:
- High-school students preparing for Maths-related university degree
- University students
- Parents or tutors who are seeking an easy explanation to Maths to support your children or tutees
- Students who are studying a course that requires some basic calculus knowledge
- People who just miss studying Maths or love Maths
- People who what to get into data science
