MATH1231 > Calculus

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• Background
• Cover Up Rule - To find out values of determinants
• Differential Approximation to _Delta F
• Euler's Formula
• Exact ODEs
• Example (w_ error bound)
• Example - Hyperbolic Substitution
• Example - Trigonometric Substitution
• Example
• Find the McLaurin series for sin⁡x
• Find the Taylor series for cos⁡x about x=π_2
• First Order ODEs
• Functions of Several Variables
• IVP Example
• Initial Value Problems (IVP)
• Integral of tan^m sec^n
• Integration of Rational Functions
• Integration
• Level Curves and Profiles
• Method of Undetermined Coefficients
• Mixed Derivative Theorem
• More Questions
• Non-homogeneous Case
• Partial Differentiation
• Partial Fraction Algorithm
• Power Series __ Radius of Convergence
• Prove that the Taylor series for e^x about x=0 converges to e^x everwhere
• Reduction Formula
• Review_ Integration by Parts
• Review_ Integration by Substitution
• S_n=1+1_√2+1_√3+…+1_√n _ 1_√n+1_√n+1_√n+…+1_√n
• Second Order Ordinary Differential Equations
• Separable ODEs
• Sketching Series
• Solve 2xy dx+(x^2+3y)dy=0
• Solve 2xy+(x^2+y^2 ) dy_dx=0
• Solve dy_dx=(−2xy+3x^2 y^2)_(x^2+2x^3 y+1)
• Taylor Polynomials
• Taylor Series
• Technique_ Factoring an odd power of sin_cos
• Temp of the body at five f to at 11
• Theorem
• Trial Particular Solutions
• Trigonometric & Hyperbolic Substitutions
• Trigonometric Substitution
• Untitled page
• Use the McLaurin series to find lim_(x→0)⁡〖(sin⁡x−x+x^3_6)_x^5 〗
• What values of x for e^x=1+x+x^2_2!+x^3_3!+…+x^n_n!
• dy_dx + Py = Q form