## Introduction

About Mathematics UnitThis three-semester course aims at bridging gaps in students’ knowledge of Mathematics. Students are placed either in Pre-math, Math Level 1 or Math Level 2 as per their math placement test score (see 8.2 above). Level 2 Math has two programs, i.e. Pure or Applied Math. Students are place in either Pure or Applied Mathematics as per their majors.

__Learning Outcomes__

- 1. Obtain the common factors, factor by grouping, and factor second degree polynomials using special factoring rules.
- 2. Reduce rational expressions and apply different operations.
- 3. Identify exponent and simplify expressions.
- 4. Differentiate between all types of linear equations and inequalities.
- 5. Define functions graphically and by set, finding the domain of certain types of functions and evaluating them.
- 6. Graph linear and quadratic functions.
- 7. Identify exponential functions, draw their graphs, and solve their equations.
- 8. Define the logarithmic functions, draw their graphs, and solve their equations.
- 9. Define and apply the rules, identities, and proofs of trigonometric functions.
- 10. Define and solve different trigonometric functions, and express them graphically.
- 11. Know the basic equations of parabolas.
- 12. Measure central tendency, mean, median, mode, variance, standard

__Math Courses__

Course Title | Course Name | Contact Hours per week |
---|---|---|

FPM 100 (Pre-level) | Pre-level | 4 |

FPM 101A (Basic) | Level 1 | 4 |

FPM 102B (Pure & Applied) | Level 2 | 4 |

FPMA 100 | Math for Arabic | 4 |

FPML 100 | Math for Law | 4 |

FPMS 100 | Math for Social Work | 4 |

FPM 100 Pre-Foundation Mathematics Program (4 hrs) |

The aim of this course is to help students entering the FP to understand basic concepts of Mathematics. This four-hour course reinforces basic concepts and terminologies learnt in the Arabic language in schools through the use of the English language. The course covers real number systems, basic rules of addition, subtraction, multiplication and division, Properties of basic arithmetic operations, Polynomials, Factoring Polynomials, and reducing rational Expressions, addition and subtraction of algebraic rational expressions first-degree equations and inequalities. |

FPM 101A Foundation Program Mathematics Level 1 (Basic) (4 hrs) |

The aim of this course is to teach conceptual understanding and problem solving. The course covers basic algebraic operations, Metric Units conversions, Exponents, Graphing System of linear inequalities, quadratic equations, equations of circles, straight lines, Basic Trigonometric Functions, Pythagorean Theorem and concept of complex numbers. |

FPM 102B Foundation Program Mathematics Level 2 (Pure & Applied) (4 hrs) |

The aim of this course is to prepare students for further study of higher-level mathematics at higher and other non-mathematics-related subjects. The course covers Concept of functions, Exponential and Logarithmic functions, and Recognizing three types of symmetric of functions, basic statistics, and introduction to probability. For Pure Course, in addition to that, other topics to be covered are Graphing Trigonometric functions, Identities, and using law of Sine and cosine to solve triangle and basic concepts of Partial Fractions and Long division for factorization of polynomials. |

FPM 102B (Foundation Program Math Level 2: Pure) |

The pure stream of FPM 102B is a pure math course designed to develop both math skills and good study habits, and to prepare students for further study of higher-level math. Skills taught include conceptual understanding and problem solving in the following topics: graphs of exponential and logarithmic functions, three types of symmetry of equation, real-life problems based on exponential functions, the inverse relation between exponents and logarithms, basic trigonometric functions, identities, sine and cosine, long division, partial fractions, basic statistics, and an introduction to probability. Learning outcomes are aligned with Oman Academic Standards. Upon completion, students transition to their respective majors. |

FPMA 100, FPML 100, FPMS 100 (Foundation Program Math for Arabic, Law, and Social Work) |

FPMA/L/S 100 is a basic math course designed to develop both math skills and good study habits for students who intend to major in Arabic, law, or social work. Skills taught include conceptual understanding and problem solving in the following topics: real numbers, basic algebraic operations and properties, polynomials, circles, straight lines, metric unit measurements, basic trigonometry, right triangles, and real-life problems based on the Pythagorean Theorem. Learning outcomes are aligned with Oman Academic Standards. Upon completion, students transition to their respective majors. |

__Placement Test__

Criterion | Level | Remarks |
---|---|---|

0 – 39 | Pre | Students who score 60+ on the Moodle-Based Mathematics Placement Test are exempted from the FP’s Mathematics program. |

40 – 49 | 1 | |

50 – 59 | 2 | |

60+ | Exempt |