The first course in a two-semester sequence of intermediate algebra and trigonometry with technical applications. Topics included are: The trigonometry functions, vectors, units of measurement and approximate numbers, fundamental concepts of algebra, functions and graphs, systems of linear equations, determinants, factoring and fractions, quadratics, basic operations with complex numbers, and geometry (areas and perimeters of common plane figures, volumes and surface areas of common solids). The scientific calculator will be used throughout the course.
Upon Completion of this course, the student will be able to:
- Perform the fundamental operations (addition, subtraction, multiplication, division) with algebraic expressions.
- Solve equations to include linear, rational and quadratic.
- Identify geometric shapes and formulas (including area, perimeter, volume, and surface area.)
- Use units of measure and approximate numbers in calculations.
- Define and evaluate trigonometric functions of any angle.
- Analyze and solve applications of right triangles.
- Perform addition with vectors.
- Write polynomials in factored form.
- Perform the fundamental operations on rational expressions.
- Interpret and graph the equations of a straight line.
- Graph and interpret functions.
- Solve systems of linear equations graphically, algebraically, and by determinants.
- Perform the fundamental operations on complex numbers.
- Analyze and solve word problems that involve the use of linear and rational equations, vectors and functions.
- Use a scientific/graphing calculator to perform basic arithmetic operations and solve trigonometric problems.
- Analyze and interpret the following based on a graphing calculator or a symbolic computer program
- the domain and range of functions
- solutions to linear equations
- and solutions to and graphs of quadratic equations