Foundations of Mathematics (MTH106)

MTH106 Foundations of Mathematics introduces students to Precalculus, Pre-university Calculus as well as two and three-dimensional vector geometry. The course will sufficiently prepare students to take MTH109 Calculus and enhance their understanding for MTH207 Linear Algebra and MTH240 Engineering Mathematics I.

• Coordinate Geometry
• Radians, Arcs and Sectors
• Functions
• Trigonometric Functions
• Differentiation
• Applications of Differentiation
• Integration
• Exponential and Logarithmic Functions
• Differentiation and Integration of Trigonometric Functions
• Differentiation of e^(f(x))
• Integration of 1 ⁄ (ax+b) and e^(ax+b)
• Techniques of Integration
• Area between curves
• Volume of revolution about the x or y-axis
• Vector Geometry

• Determine the derivative of a differentiable function which is a composition of elementary functions.
• Apply derivative tests to find relative extremum of differentiable function(s) of one variable.
• Solve for the angle between two straight lines, between a straight line and a plane, or between two planes.
• Use a Maclaurin series to approximate the value of a function at a given point.
• Employ various techniques of integration to evaluate integrals.
• Calculate the area between curves and/or volume of revolution about the x or y-axis.