Course Relevance for MAC2313

**Course Description:**This course includes calculus of several variables including limits, partial derivatives, multiple integrals, vector functions, line integrals, cylindrical, and spherical coordinates.**Learning Outcomes:**The student will demonstrate scientific or mathematical reasoning in problem-solving**Career Relevance to Engineering & Mathematics**- Vectors in two and three-dimensional space
- Dot products and cross products
- Lines, planes, surfaces in space
- Cylindrical and spherical coordinates
- Tangent and normal vectors
- Arc length and curvature
- Functions of several variables
- Differentials
- Chain rules for functions of several variables
- Gradients
- Tangent planes
- Extrema of functions of two variables and their applications
- Lagrange multipliers
- Double and triple integrals
- Center of mass and moment of inertia
- Surface area
- Vector fields
- Line integrals
- Green’s theorem

**Career Relevance to Physics**- Vector 2-D &3-D
- Operations of Vectors
- Partial derivatives
- Vector fields
- Vector intersections and distance
- Vector equations