Course List

C++ Programming
​variables | decision structures | loops | functions | arrays | vectors

​Calculus 1
functions | limits | derivatives | applications of differentiation | optimization | integrals

​Calculus 2
integration by table | integration by substitution | integration by parts | integration by trig substitution | partial fraction decomposition | improper integrals | numerical integration | double integration | triple integration | partial derivatives

​Chemistry
stoichiometry | ideal gas law | half-life | equilibrium | acid base buffers | acid base titrations

Circuits​
definitions | circuit laws | current & voltage sources | series & parallel resistors | nodal analysis | mesh analysis

​Differential Equations
first order | second order

​Dynamics
linear motion | projectile motion | circular motion | kinetics | work & energy | impulse & momentum | rigid body rotation

​Linear Algebra
vectors | systems of linear equations | matrices | eigenvalues | orthogonality | complex numbers

​Mechanics of Materials
stress | strain | torsion | pure bending | composite materials | beam deflection | energy methods | columns

​​Project Management
Gantt charts | PDM & CPM network diagrams | float & slack| lead & lag | WBS | resource constraining | project crashing | baseline S-curves | earned value analysis | PERT

Statics
vectors | 2D static equilibrium | moments | friction | 3D static equilibrium | trusses | frames & machines | centroids & distributed loads | shear force & bending moment diagrams

Structural Analysis
shear force & bending moment diagram review | double integration method | method of superposition | moment area method | force method | slope deflection method | three moment equation

How to Study

The courses follow typical curriculum from engineering programs. In general, the courses fall into the following years of university studies:

1st: Calculus 1, Linear Algebra, Statics, C++, Chemistry, Circuits
2nd: Dynamics, Calculus 2, Mechanics of Materials
3rd: Differential equations, Project management
4th: Structural analysis

For learning Math, the order you should follow is: Calculus 1 & Linear Algebra, then Calculus 2, then Differential Equations.

For learning Structures, the order you should follow is: Statics & Calculus 1 & Linear Algebra, then Mechanics of Materials & Calculus 2, then Structural Analysis & Differential Equations, or at least just study the math as needed.

For learning Physics, you should first learn Statics, then Dynamics. You will need some knowledge of Calculus 1, Calculus 2, and Linear Algebra along the way.

The rest (C++, Chemistry, Circuits, and Project Management) can be be studied as standalone topics.

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