# Precalculus

• Computer Graphics and Multimedia |
• English

#### Description

This course provides knowledge about algebra concepts, solid geometry, calculus, statistics, and dynamics. Algebra concepts include permutations complex numbers, and determinants. Solid geometry includes lines and planes, and orthogonal projections. Calculus concepts are limits and continuity, differentiation, behavior, of functions and sketching its graphs, and integration. Statistics concepts include scalar and vector product, the force, equilibrium of a system of coplanar forces. Dynamics include the velocity, the straight motion with uniform acceleration, vertical motion under gravity, differentiation of vector functions, Newton's law of motion, impulse and collision, and work-power-energy.

#### Program

Computer Graphics and Multimedia

#### Objectives

• - Understand permutations, combinations and binomial theorem.- Understand real numbers and complex numbers.
- Identify differential calculus and its applications.
- Understand lines and planes, and orthogonal projections.
- Explain the relationship between the derivative and the definite integral as it is expressed in both parts of the Fundamental Theorem of Calculus.
- Use derivatives and integrals to model and solve applied problems.
- Sketch graphs based on calculus concepts.
- Generate statistics knowledge by understanding the vectors, the forces, the moments, and couples.
- Differentiate between types of velocity and motion with their applications.

#### Textbook

Marvin Bittinger, Judith Beecher, David Ellenbogen, and Judith Penna, Precalculus: Graphs and Models, Pearson.

#### Course Content

content serial Description
1Functions and Limits
2Left and right limits and continuity of the functions
3Basic rules of differentiation
4Chain rule and some applications
5Curve sketching
6Integration as an inverse operation of integration
77th Week Exam
8Permutations and combinations
9The binomial theorem
10Determinations and Applications
11Complex numbers
12Vectors + 12th Week Exam
13Forces and the resultant
14Motion of particles in straight lines
15Kinetic and potential energy

#### Markets and Career

• Generation, transmission, distribution and utilization of electrical power for public and private sectors to secure both continuous and emergency demands.
• Electrical power feeding for civil and military marine and aviation utilities.
• Electrical works in construction engineering.