**Please note: It is mandatory for students to complete the diagnostic test prior to enrolling in any of the Bridging Modules.**

**Module 1** - designed to prepare students for MATH1003

*This course is offered over 8 consecutive working days.*

- Basic set theory: definition of a set, intersection, union, complement. [One lecture]
- Real numbers, inequalities, distance between two points, absolute value. [One lecture]
- Equation of a straight line (slope formula, point-slope equation,
slope-intercept), parallel lines, perpendicular lines. [One lecture]
- Polynomials, long division, factoring polynomials, completing the square, finding roots.[One lecture]
- How to solve an equation (factoring, completing the square, quadratic formula). [One lecture]
- Complex numbers: imaginary unit, sum, difference, multiplication,
conjugate, reciprocal, quotient of two complex numbers, quadratic
equations. [One lecture]
- How to solve inequalities: interval notation, properties, combined
inequalities, inequality involving absolute value. [One lecture]
- Functions and their graphs: domain,composite functions, even and odd
functions, minima and maxima, piecewise defined functions, vertical and
horizontal shifts, streches and compressions, reflection. [One lecture]
- Rational functions: properties, domain of a rational function, graphs, asymptotes. [One lecture]
- Exponential and logarithm functions. [Two lectures]
- Trigonometric functions and trigonometric identities. [Two lectures]
- Polar coordinates, polar equations and graphs, converting from rectangular to polar and from polar to rectangular. [One lecture]
- Vectors: direction and magnitude, position vector, addition and
subtraction, unit vector, dot prduct, cross product. [One lecture]
- Binomial Theorem. Counting and probability: counting formula,
permutations and combinations, compound probabilities. [Two lectures]
- Basic calculus: finding limits, one-sided limits, continuous functions. [One lecture]
- Basic calculus: Derivative of a function: product, quotient, chain rule. [One lecture]
- Basic calculus: Anti-differentiation, definite integral, area under a curve. [One lecture]