Weekly Sessions: June 16 through August 9, 2025

In-Center : Every Monday and Wednesday from 2:00 PM to 3:00 PM

Online: Every Monday and Wednesday from 1:00 PM to 2:00 PM

Week 1: Functions & Graphs

• ✅ Definition of a Function & Domain and Range
  Overview of the basic definition of functions, identifying domain and range, and types of functions.

• ✅ Graphing Techniques & Inverse Functions
  Understanding transformations (translations, reflections, stretches/compressions) and the concept of inverse functions.

Week 2: Polynomial & Rational Functions

• ✅ Factoring Polynomials & Zeros of Polynomial Functions
  Techniques for factoring polynomials and finding their zeros.

• ✅ Polynomial Division & Rational Functions
  Polynomial long division, synthetic division, and graphing rational functions with asymptotes (vertical, horizontal, and oblique).

Week 3: Exponential & Logarithmic Functions

• ✅ Exponential Functions & Their Properties
  Exploring the properties of exponential functions and their applications in growth/decay.

• ✅ Logarithmic Functions & Laws of Logarithms
  Properties of logarithmic functions, solving equations, and the laws of logarithms.

Week 4: Trigonometry Basics

• ✅ Unit Circle & Trigonometric Functions
  Introduction to the unit circle, radians and degrees, and basic trig functions (sine, cosine, etc.).

• ✅ Graphing Trigonometric Functions & Inverse Trig Functions
  Graphing the primary trig functions and understanding their inverses.

Week 5: Trigonometric Identities & Applications

• ✅ Trigonometric Identities
  Pythagorean, reciprocal, quotient, and co-function identities, and how to use them for simplification.

• ✅ Tolving Trigonometric Equations & Applications
  Solving equations and applying trig functions in real-world problems (e.g., angles of elevation, law of sines and cosines).

Week 6: Sequences, Series, & Matrices

• ✅ Arithmetic and Geometric Sequences & Series
  Introduction to sequences and series, with a focus on arithmetic and geometric series.

• ✅ Matrices & Systems of Equations
  Matrix operations (addition, subtraction, multiplication) and solving systems using matrices.

Week 7: Vectors, Parametric Equations, & Conic Sections

• ✅ Introduction to Vectors & Parametric Equations
  Basic concepts of vectors (magnitude, direction) and parametric equations for graphs.

• ✅ Conic Sections: Parabolas, Circles, Ellipses, Hyperbolas
  Graphing and solving equations for conic sections and exploring their applications.

Week 8: Complex Numbers & Review

• ✅ Imaginary & Complex Numbers
  Introduction to complex numbers, operations, and polar form. Also, a quick review of De Moivre’s Theorem.

• ✅ Review & Practice Problems
  Review of all topics covered, with an emphasis on solving real-world application problems and preparing for assessments.

Notes:

• Concept Focus: Each week is dedicated to a particular concept or topic, with enough time for practice questions and review.

• Review & Practice: Some weeks may focus on review and practice from the previous weeks, especially towards the end of the schedule.

• Advanced Practice: The final week is used to simulate a full practice test, addressing any remaining weak areas before the exam.