Pre-Calculus Practice Exam

Pre-Calculus is study of maths and is an advanced topic which includes trigonometry, functions, sequences and series. The study helps prepare students for more complex subject of calculus. The study links vartious different branches of maths consisting of algebra, geometry, and calculus.

Certification in Pre-Calculus shows that you have the skills and knowledge in advanced maths calculus. The certification assess you in functions, trigonometry, and analytical geometry.

Why is Pre-Calculus certification important?

• The certification attests to your skills in advanced maths skills especially calculus.
• Increases your credibility for teaching calculus
• Attest to your knowledge of calculus.
• Improves your employability.

Who should take the Pre-Calculus Exam?

• High School Math Teachers
• Academic Tutors specializing in advanced mathematics
• Standardized Test Preparation Coaches
• Students preparing for STEM degrees
• Data Analysts with quantitative responsibilities
• Engineers in training or early-career professionals
• Actuarial Science Students or Interns
• Financial Analysts requiring mathematical modeling skills

Skills Evaluated

Candidates taking the certification exam on the Pre-Calculus is evaluated for the following skills:

• Functions
• Trigonometric functions
  
• Equations and inequalities
  
• Graphing
  
• Sequences and series
• Limits
• Calculus concepts

Pre-Calculus Certification Course Outline
The course outline for Pre-Calculus certification is as below -

 

Domain 1 - Functions and Graphs

• Types of functions (linear, quadratic, polynomial, exponential, logarithmic)
• Domain, range, and transformations
• Inverse functions and composition of functions

 

Domain 2 - Trigonometry

• Trigonometric functions and their graphs
• Trigonometric identities and equations
• Applications of trigonometry in geometry

 

Domain 3 - Analytical Geometry

• Conic sections: circles, ellipses, parabolas, and hyperbolas
• Distance and midpoint formulas
• Parametric equations and polar coordinates

 

Domain 4 - Algebraic Techniques

• Complex numbers and operations
• Solving systems of equations
• Matrices and determinants

 

Domain 5 - Sequences and Series

• Arithmetic and geometric sequences
• Summation notation and formulas
• Introduction to infinite series and convergence

 

Domain 6 - Limits and Introduction to Calculus

• Concept of a limit
• Evaluating limits using algebraic techniques
• Continuity and basic applications