Mathematics II

Course Outline

• Multivariable Calculus, Limits, Continuity, Partial Derivatives,
• Differential, Extrema, Lagrange Multipliers.
• Double and Triple Integral, Polar, Cylindrical, and Spherical Coordinates.
• Vectors, vector actions, dot and cross product, Vector Functions, Gradient, Deviation and Curl.
• First order differential equations (Separable and exact variables, linear, homogeneous, precision, Bernoulli and Ricatti). Linear equations of the second order with fixed coefficients, fundamental and general solutions, solving using the Laplace transform.