Professional Certificate in Math Calculus
-- ViewingNowThe Professional Certificate in Math Calculus is a comprehensive course designed to build a strong foundation in calculus, a crucial math discipline for many professions. This program covers key topics such as limits, derivatives, and integrals, enhancing learners' problem-solving and analytical skills.
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- Limits and Continuity: Infinite limits, limit laws, one-sided limits, continuity, intermediate value theorem
- Differentiation: Concept of derivative, rules of differentiation (power, product, quotient, chain rule), implicit differentiation, higher order derivatives
- Applications of Differentiation: Linear approximation, optimization problems, related rates, motion along a curve
- Integration: Indefinite and definite integrals, fundamental theorem of calculus, integration techniques (substitution, integration by parts, partial fractions)
- Applications of Integration: Area between curves, volume of revolution, arc length, average value of a function
- Series and Taylor Polynomials: Sequences, convergence tests, power series, Taylor and Maclaurin series
- First Order Differential Equations: Separable equations, linear equations, growth and decay, logistic differential equation
- Second Order Differential Equations: Homogeneous and nonhomogeneous equations, method of undetermined coefficients, variation of parameters
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