Pre-Calculus

Pre-Calculus Tutoring

In Pre-calculus at Stream Vertical, students conclude their formal study of functions initiated in Algebra I and Algebra II. This advanced course centers on modeling, problem-solving, data analysis, and a comprehensive exploration of trigonometric and circular functions, inverses, polar coordinates, complex numbers, conics, and quadratic relations.

Discrete topics encompass essential mathematical concepts such as Proof by Induction, the Binomial Theorem, sequences, series, Basic and Compound probability.

Worried about navigating through these topics? Fear not, as our expert tutors at Stream Vertical are committed to guiding students step by step, ensuring a thorough understanding and better performance.

Course Objectives

Functions and Transformations
Explore parent functions and their transformations.
Analyze properties of functions, including limits and continuity.

Linear Functions

Analyze and graph linear functions.

Understand rates of change in linear functions.

Sequences, Series, and Proofs

Investigate sequences and series.

Understand and apply proofs by induction.

Polynomial and Rational Functions

Analyze and graph polynomial and rational functions.

Exponential and Logarithmic Functions

Analyze and graph exponential and logarithmic functions.

Explore functions with various bases.

Conic Sections and Polar Coordinates

Examine conic sections and functions in polar and parametric forms.

Matrix Operations and Systems of Equations

Perform matrix operations.

Find inverse matrices and determinants.

Solve systems of equations using matrix methods, including Gauss-Jordan method and Cramer’s rule.

Probability and Data Analysis

Determine probability distributions.

Analyze frequency distributions.

Find linear, polynomial, exponential, and logarithmic graphs of best fit using regression equations.

Student Learning Outcomes

By the end of the course, students should be able to

Conceptual Understanding

Demonstrate a strong conceptual understanding of functions and their transformations.

Graphical Analysis

Graphically analyze and interpret linear, polynomial, exponential, logarithmic, and trigonometric functions.

Problem Solving

Apply mathematical reasoning and problem-solving skills to real-world scenarios.

Matrix Operations

Competently perform matrix operations, find determinants, and solve systems of equations using matrix methods.

Trigonometry

Master trigonometric concepts and their applications, including circular functions and inverses.

Data Interpretation

Interpret and analyze data through statistical and probability concepts.

Analytical Skills

Develop strong analytical skills through proofs and mathematical reasoning.

Advanced Mathematical Applications

Apply advanced mathematical concepts to various disciplines, laying a foundation for higher-level mathematics courses.