Mathematics for Finance and Actuarial Studies 2
Other, , Prof. Chris Tisdell
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Updated On 02 Feb, 19
Integrals of trig functions and reduction formulae - Integration by trig substitution and partial fractions - Integration + Partial Fractions - Integration via substitutions - Separable Differential Equations - Linear and Exact Differential Equations - Homogeneous first order ordinary differential equation - Mixing problems and differential equations - How to solve 2nd order differential equations - Solution to a 2nd order, linear homogeneous ODE with repeated roots - How to solve second order differential equations - Integration and differential equations - Sequences and their limits - What is a Taylor polynomial?-Limit of a sequence - Limit of a sequence: L'Hopital's rule applied to $(ln n)/n$ - Limit of a sequence: $n - $th root of $n^2$
Intro to series + the integral test-Series, comparison + ratio tests - Alternating series and absolute convergence - What is a Taylor series? - What is a power series? - How to calculate power series: a tutorial - Partial derivatives and error estimation - Gradient and directional derivative - Gradient & directional derivative tutorial - Tangent plane approximation and error estimation - Tutorial on gradient and tangent plane -Multivariable Taylor Polynomials - Critical points of functions - How to find critical points of functions - Second derivative test: two variables - Critical points + 2nd derivative test: Multivariable calculus - How to find and classify critical points of functions - Max / min on closed, bounded sets - Lagrange multipliers - Intro to double integrals - Double integrals over general regions - Double integral tutorial - Double integrals and area - Double integrals in polar co-ordinates - Reversing order in double integrals
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Free ebook httptinyurl.comEngMathYTA lecture on alternating series and a test for their convergence, known as Leibniz test. The idea of absolute convergence is also discussed. Plenty of examples are discussed and solved. Such ideas are seen in university mathematics.
Sep 12, 2018
Excellent course helped me understand topic that i couldn't while attendinfg my college.
March 29, 2019
Great course. Thank you very much.