Science:Math Exam Resources/Courses/MATH200/Syllabus

Official course syllabus here.

Vectors and the Geometry of Space

12.1 Three-dimensional coordinate systems

12.2 Vectors

12.3 The dot product

12.4 The cross product

12.5 Equations of lines and planes

12.6 Cylinders and quadratic surfaces

Partial Derivatives

14.1 Functions of several variables

14.3 Partial derivatives

14.4 Tangent planes and linear approximations

14.5 The chain rule

14.6 Directional derivatives and the gradient vector

14.7 Maximum and minimum values

14.8 Lagrange multipliers

Multiple Integrals

15.1 Double integrals over rectangles

15.2 Iterated integrals

15.3 Double integrals over general regions

15.4 Double integrals in polar coordinates

15.5 Applications of double integrals

15.7 Triple integrals

15.8 Triple integrals in cylindrical coordinates

15.9 Triple integrals in spherical coordinates