Become a Calculus Master in easy way

Udemy MOOC / Non-credit USD 19.99
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Become a Calculus Master in easy way

About this course

In this course you will learn following topics:Calculus1. Continuity and DifferentiabilityContinuity and differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.2. Applications of DerivativesApplications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).3. IntegralsIntegration as inverse process of differentiation.Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof).Basic properties of definite integrals and evaluation of definite integrals.4. Applications of the IntegralsApplications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only), Area between any of the two above said curves (the region should be clearly identifiable).5. Differential EquationsDefinition, order and degree, general and particular solutions of a differential equation.formation of differential equation whose general solution is given.Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree.All about Microeconomics for Student and TeacherLearn Microeconomics and get some help for your exams and knowledge purposeObje

What you'll learn

  • Understand continuity and differentiability
  • Calculate derivatives and their applications
  • Perform various integration techniques
  • Apply integrals to find areas under curves
  • Gain insights into differential equations and their solutions

Skills you'll gain

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