NUPOC Program Study Guide: Calculus, Physics, Engineering

Topics to Study Available Study Material*:  Class Textbooks (Example Problems)  Schaum’s: 3000 Solved Problems in Calculus (Example Problems)  Schaum’s: 3000 Solved Problems in Physics (Example Problems)  Khan Academy (Refresher Material) *The NUPOC Program does not endorse these specific sources, although data show that students utilizing these resources perform better. The internet or other study preparation materials are to be used at your discretion. All Majors: Calculus  Integration  Define an integral and how it works  U-substitution  Integration by parts  Definite vs indefinite integrals  Derive volume of shapes via disk/washer method  Derive surface area of shapes  Derivatives  Define a derivative and how it works  Sum, Product, Quotient, and Chain Rules  Complicit vs. Implicit  Critical Points  Finding a maximum or minimum of a function  Inflection points  2nd Derivative Test  Related Rates  Utilizing the Chain Rule/Implicit differentiation  Find the limit of a function  Logarithms and Exponential equations  Graph ln(x) and e^x  Optimization  Physics  Free body diagrams  Force balance  Kinetic and static friction  Kinematic Problems  Derive the kinematic equations  Relationship between distance, speed, and acceleration  Calculate time and distance  Collision and conservation laws  Inelastic vs. Elastic collision  Conservation of momentum  Conservation of energy  Potential and Kinetic Energy       Angular Physics  Velocity and Momentum  Centripetal Force  Centrifugal Force Buoyancy  Buoyant Force  Archimedes’ Principle Gravitational Forces between masses Escape velocity Springs  Hooke’s Law  Spring Theory Torque  Shear and Moment Diagrams  Torsion Other Technical Topics  Chemistry  pH  Ideal Gas Law  Basic RLC Circuits  Capacitance, RC Circuits  Inductance, RL Circuits Electrical Engineering        Control Systems  Nyquist diagram  Designing a filter Motor/generator theory Digital Logic AC/DC Circuit Analysis Transformer Theory Electromagnetic Induction Faraday’s Law  Definition Kirchoff’s Law  Definition  Apply Kirchoff’s Law to calculate current and voltage in a curcuit   Micro/Macro Cross-Section of Absorption  Different forms of radiation and interactions  Shielding  Neutron embrittlement Advanced RLC circuits  Capacitance, RC circuits  Inductance, RL circuits Chemical Engineering/Chemistry          Concentration/dilution problems Corrosion Buffers vs. Catalysts Types of bonds Gibbs Free Energy and Helmholtz Energy equations Metals vs. non-metals Crystal structures pH  Basic definitions of pH  Type of scale  Define acid, base, and neutral  Calculate various pH levels Ideal Gas Law  Calculate pressure, volume, and temperature  Define the constants in the equation  Temperature (Absolute scale)  Charles’ Law  Boyle’s Law Mechanical, Aerospace, Civil, Nuclear Engineering/Material Science       Stress/strain curves  Label and discuss  Typical values in steel Fluids  Bernoulli’s Principle  Boundary Layers  Laminar vs. turbulent flow Thermodynamics  Carnot vs. Rankine cycle  Define enthalpy and entropy  Discuss the Laws of Thermodynamics Heat Transfer  Conduction  Convection  Radiation Hooke’s Law Materials  Types of welds  Annealing, tempering, forging, cold working Additional Nuclear Engineering  Neutron Life Cycle (including criticality)  Definitions  Buckling  Resonance Region Computer Science    Boolean algebra Semi-conductor Theory Probability and statistics Math     Taylor Series Triple Integrals Probability and statistics Buildup and decay problems

NUPOC Program Study Guide: Calculus, Physics, Engineering

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