Overview: This course covers calculus topics in more than just the two dimensional plane. These include basic differential equations, parametric and polar equations, 3 dimensional geometry, partial differentiation, multiple integrals, and vector calculus.
Topics covered in this course will include:
Topics covered in this course will include:
Unit 1 – Separable Differential Equations, Direction Fields and Euler’s Method, Parametric and Polar Equations with areas and arc lengths
Unit 2 – Equations for Lines and Planes in 3-D, Dot and Cross Product with applications, Derivatives of Vector-valued functions with arc length
Unit 3 – Partial Derivatives with applications, Directional Derivatives, LaGrange Multipliers with Applications
Unit 4 – Double and Iterated Integrals with applications of surface area, Triple Integrals with applications of Volume
Unit 5 – Vector Fields, Line Integrals, including the Fundamental Theorem for Line Integrals, Green’s Theorem