Plane and solid analytic geometry. Lines, planes, circles, spheres, vectors, change of coordinates, polar coordinates, parametric equations, curve sketching. Multivariable calculus. Multivariable functions. Partial derivatives. Double and triple integral. Scalar field and vector field. Vector differential calculus. Integration in vector fields. Gauss’s, Green’s and Stokes’s theorems. Fourier and Laplace Analysis and their applications.