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:
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
Click here to view a sample syllabus
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
Click here to view a sample syllabus
