AP Prep (CS/Calculus/Pre-Calc/Physics/Chem): Certified C++ Tutor with 5 Years – USACO & Basics

The Student and Tutor reviewed challenging vector problems from homework, focusing on calculating unknown vector components and resultants. They then practiced foundational vector addition and displacement problems before delving into a comprehensive introduction to projectile motion, its real-world applications, and the relevant kinematic equations for horizontal and vertical components. The session concluded with the Student beginning to solve a multi-part projectile motion problem.

Student and Tutor reviewed homework on vector component calculations and angle determination. The session focused on mastering quadrant rules for vectors, accurately assigning positive and negative signs to components, and reconstructing vectors from their components to find magnitudes and standard angles. Homework included further practice on vector addition and subtraction, including a challenge problem with three vectors.

The Student and Tutor reviewed diagnostic test questions on Newton's laws and basic mechanics. The session then focused on introducing Chapter 3, covering two-dimensional motion, the independence of motion components, and methods for vector addition and subtraction. The Student practiced using the analytical method to break down and reconstruct vectors. Homework involving Chapter 3 problems was assigned, and the next session was scheduled.

Student and Tutor conducted an introductory and diagnostic session for AP Physics. The Student's academic background and goals for taking a high-level physics course were discussed. A diagnostic test covering foundational kinematics, Newton's laws, graph interpretation, and basic problem-solving was completed to assess understanding. The session concluded with a review of the curriculum roadmap and a plan for a thrice-weekly tutoring schedule to get ahead before school starts.

The session began by introducing Object-Oriented Programming (OOP) concepts in C++, covering classes, objects, data hiding, and the use of private/public access specifiers, along with setters and getters for data protection. The Student and Tutor then transitioned to a competitive programming problem, practicing the two-pointers technique on a sorted array to find pairs with a target sum. They collaboratively debugged the Student's approach and refined the implementation of the two-pointers method.

The Student and Tutor continued practicing C++ string manipulation by solving several programming problems. They covered finding substrings, replacing placeholders, trimming trailing spaces, and converting Excel column names to numbers. The Tutor assigned further work on the Excel column conversion problem, specifically addressing data type limitations and scaling issues, as homework for the next session.