### Pre-College Math-Mr. Mark McDonald

This course integrates the topics of arithmetic and beginning algebra. In this course you will add, subtract, multiply, and divide whole numbers, fractions, decimals, and solve related applications; compute percent and solve related applications; find the perimeter and area of plane figures and volumes of solids; perform operations on signed numbers; solve linear equations and inequalities in one variable; perform operations on and factor polynomials; evaluate and simplify expressions with integer exponents; simplify radicals; graph linear equations; simplify algebraic fractions; and solve applications of these topics. It provides a fundamental algebraic concept which serve as a preparatory course for Math 101.

Teacher: Mark McDonald

### Statistical Analysis II

This continuation course further develops the use of appropriate statistical language in written and oral presentation. It will engage students in mathematical; thinking and modeling to examine and solve problems from a wide variety of disciplines. This course studies the use of sampling distribution and confidence intervals in providing information about population (mean and proportion). It also looks at the relevance of tests of hypotheses regarding statements about a population parameter (use of normal versus student distribution). Other topics cover the application of Chi-squared test for independence in a contingency table followed by finding possible association between variables through correlation and linear equation.

### Introduction to discrete math

This 4-credit course serves to incorporate tools which assist students to incorporate technology into their program.  These concepts allow them to familiarize themselves with Linear Programming, Assignment Models, Graph Theory & Critical Path Analysis, and Logic & Boolean Algebra. Additional topics to be covered include: Counting Techniques and Probability.

### Counting, Matrices and Differential Equation

This course will deal with the principles of Counting (permutations and combinations) which are used to evaluate the probability of a particular outcome of an event. This course also covers the algebra of Matrices to solve and analyze Systems of Linear Equations (equality, addition, multiplication, determinants, consistency, dependency, singularity, row-echelon).  Other topics will include differential Equation(first order and second order differential equation).

### Trigonometry, Geometry and Vectors

This course deals with the description of the behavior of trigonometric functions. Establishment of trigonometric identities (compound-angled identities, double/half angle identities, factor identities) will be discussed followed by skills to solve trigonometric equations (including the harmonic form). This course also studies the mathematical field called Co-ordinate Geometry: gradient, equation of a straight line, parallel/perpendicular lines, equation of a circle, Cartesian equation versus parametric representation and points of intersection between curves. At the end of this course the topic Vectors will be discussed. This includes equality, addition, subtraction, scalar multiplication, position/unit/displacement vectors, magnitude and direction of a vector, scalar dot product.

### Calculus I

Calculus-I will introduce starting concepts in the Calculus field: Limits, Differentiation and Integration. This course will study the concept of a limit of a function; the continuity/discontinuity of a function; Limit Theorems and The Intermediate Value Theorem. Differentiation discusses the concepts of gradient at a point on a graph, method of First Principles, finding the derivative, product/quotient/chain rules, second derivatives and stationary points. Integration includes the topics: finding integrals (definite/indefinite), integration theorems (linearity), finding areas/volumes, solving differential equations.

### Intermediate Algebra-Mr. Mark McDonald

This Course consists of topics covered in the final years of high school Algebra and the introductory aspects of College Algebra. It serves as a prerequisite to Business Courses and provides a Mathematical background for students studying in the scientific field. It is vital that students master all the techniques taught in this course, as they are prerequisite to most of the Mathematical Courses. This course fulfills a general core requirement.

Teacher: Mark McDonald