Table of Contents

AP Chemistry

Chapters based on Barron's AP Chemistry book

Ch.1 Structure of the Atom

Ch.2 The Periodic Table

Ch.3 Ionic Compounds, Formulas, Reactions

Ch.4 Covalent Compounds, Formulas, Structures

Ch.5 Stoichiometry

Ch.6 Gases

Ch.7 Liquids and Solids

Ch.8 Solutions

Ch.9 Chemical Equilibrium

Ch.10 Kinetics

Ch.11 Thermodynamics

Ch.12 Oxidation-Reduction Reactions and Electrochemistry

Ch.13 Acids and Bases

Multivariable Calculus

Based on Georgia Tech MATH 2551

Linear Algebra with Abstract Vector Spaces

Based on Georgia Tech MATH 1564

Ch.1 Linear Systems and Gauss's Method

Ch.2 Solving General Linear Systems

Ch.3 Linear Geometry

Ch.4 Vector Spaces

Ch.5 Spans and Basis

Ch.6 Dimension

Ch.7 Isomorphisms

Ch.8 Homomorphisms

Ch.9 Linear Maps as Matrices

Ch.10 Matrix Operations

Ch.11 Change of Basis

Ch.12 Orthogonal Projection

Ch.13 Determinants

Ch.14 Complex Vector Spaces

Ch.15 Eigenvectors

Ch.16 Polynomials of Matrices

Ch.17 Nilpotent Matrices and Jordan Canonical Form

Ch.18 Applications

Discrete Mathematics

Based on Georgia Tech CS 2051

Ch.1 Propositions and Truth Tables

Ch.2 Proof Techniques

Ch.3 Set Theory

Electricity and Magnetism

Based on Georgia Tech PHYS 2212

Ch.1 Electric Charges and Force

Ch.2 Electric Field

Ch.3 Gauss's Law

Ch.4 Electric Potential

Ch.5 Potential and Field

Ch.6 Current and Resistance

Ch.7 Circuits

Ch.8 Magnetic Field

Ch.9 Electromagnetic Induction

Ch.10 Electromagnetic Fields and Waves

References

Objects and Design

Based on Georgia Tech CS 2340

Ch.1 Agile, XP, Scrum

Ch.2 Requirements Analysis and Domain Models

Ch.3 Test Driven Development (TDD)

Ch.4 Documenting Requirements

Ch.5 Teamwork

Ch.6 Sequence Diagrams

Ch.7 Review