This course is a modularized program of study which includes a review of inductive and deductive reasoning, spatial reasoning, properties of angles and triangles, acute triangle trigonometry, sine and cosine laws, radical expressions and equations, statistical reasoning, quadratic functions and quadratic equations, rates and proportional reasoning.

This course explores polynomial, radical, rational, exponential and logarithmic functions, transformation and combinations of functions, trigonometry (including the unit circle, graphs, identities and equations), and permutations and combinations.

This is a modularized course which covers limits of sequences, series, and functions, secants and tangents, derivatives from first principles, chain rule, product rule, quotient rule, implicit differentiation, curve sketching, maximum and minima applications, relates rates applications, anti-derivatives and area, limits, and derivatives of trigonometric functions.

This course explores set theory, counting methods, probability, rational expressions and equations, and functions (polynomial, exponential, logarithmic and sinusoidal).

Review of numbers, inequalities, functions, analytic geometry; limits, continuity; derivatives and applications, Taylor polynomials; log, exp, and inverse trig functions. Integration, fundamental theorem of calculus substitution, trapezoidal and Simpson's rules.

Area between curves, techniques of integration. Applications of integration to planar areas and lengths, volumes and masses. First order ordinary differential equations: separable, linear, direction fields, Euler's method, applications. Infinite series, power series, Taylor expansions with remainder terms. Polar coordinates. Rectangular, spherical and cylindrical coordinates in 3-dimensional space. Parametric curves in the plane and space: graphing, arc length, curvature; normal binormal, tangent plane in 3- dimensional space. Volumes and surface areas of rotation.

Vectors and matrices, solution of linear equations, equations of lines and planes, determinants, matrix algebra, orthogonality and applications (Gram-Schmidt), eigenvalues and eigenvectors and applications, complex numbers.

The course will include a review of analytic geometry; functions, limits, continuity; differentiation of elementary functions; applications to maxima, minima and rates; introduction to integration; Fundamental Theorem; numerical integration; and areas and other applications of the definite integral to areas.

Applications of integration to areas, volumes, work force and arc lengths are included in this course. Differentiation and integration of exponential, logarithmic and trigonometric functions; techniques of integration; indeterminate forms and improper integrals.

Systems of linear equations, vectors in n-space, vector equations of lines and planes, matrix algebra, inverses and invertibility, introduction to linear transformations, subspaces of n-space, determinants, introduction to eigenvalues and eigenvectors, the dot product and orthogonality, applications in a variety of fields.

This course covers foundational mathematical topics relevant to engineering technologies such as algebraic manipulation, trigonometry, geometry, exponents, logarithms, and functions as well as basic linear algebra concepts. It aims to improve problem-solving and critical thinking skills and prepare students for studies in calculus and applied engineering physics.

Elementary Number Theory, Numeration Systems, Number Systems and Elementary Probability Theory are included in this course.

Infinite series; plane curves and polar coordinates; vectors and three dimensional analytic geometry; partial derivatives will be explored.

The course includes first order and second order linear differential equations with constant coefficients; curves, tangent vectors, arc length, integration in two and three dimensions, polar, cylindrical and spherical coordinates, line and surface integrals; Green's, divergence and Stoke's theorems.

Vector spaces; inner product spaces; examples of n-space and the space of continuous functions. GramSchmidt process, QR-factorization of a matrix and least squares. Linear transformations, change of basis, similarity and diagonalization. Orthogonal diagonalization, quadratic forms. Applications in a variety of fields, numerical methods.

This course will provide students an opportunity to build essential math skills that are fundamental to engineering technologies. Its aim is to review and extend topics in linear algebra, functions, exponentials, logarithms, and trigonometry and introduce students to the topics of differential and integral calculus and statistics.

Reasoning and problem solving in the context of logic, algebra, geometry, and combinatorics.

Subjects include shop safety, hand tools, measuring tools, wheels and tires, brake system operation, frame and suspension operation, basic electricity and lighting systems, carburetion, two-stroke tuning, two-stroke top end rebuild, motorcycle assembly, PDI, storage procedures, final drive operation, inspection and maintenance, lubrication and cooling systems, safe use of oxyacetylene welding equipment, ecognition and interpretation of motorcycle parts.

Subjects covered in Shop I include: shop orientation and safety, hand tools, measuring and machine tools, wheels and tires, brake systems, frame and suspensions, basic electricity, lighting systems, carburetion, two-stroke tuning, two-stroke top end rebuild, motorcycle uncrating and assembly, storage procedures, lubrication and cooling systems.

Subjects covered in Theory II include: charging, starting and ignition systems, four-stroke top end diagnosis, inspection and reconditioning, transmission operation, clutch and primary drive designs, two-stroke and roller bearing crankshaft inspection and repair, plain bearing crankshaft inspection.