ENGR 102 (ENGR102)

Study Guide including work out in class and homework problems over the following objectives: Inequalities Absolute Value Functions Proving limits using the precise definition of Limit Derivatives using the Definition

Study Guide including work out in class and homework problems over the following objectives: Finding Derivatives using Theorems Finding Derivatives at End Points and Transition Points Mean Value Therm Anti-Derivatives- Indefinite Integrals Summations Mathematical inductions Estimating Area using Finite Sums The Fundamental Theorem of integral Calculus Definite Integrals Leibniz's Rule Net Signed Area, Displacement and Distance Traveled

Study Guide including work out in class and homework problems over the following objectives: Work in Springs, Pumping, Lifting and Piston-Cylinder Assemblies Kinetic Energy and relationship with work Vectors and Geometry of Space Scalar Product and Vector Product

Study Guide including work out in class and homework problems over the following objectives: Moments Centers of Mass Centroids Arc Length of a Plane Curve Moments and Centers of Mass for Thin Wires Lines and Planes in Space

Study Guide including work out in class and homework problems over the following objectives: Distances Involving Lines, Planes, and Points in Space Hydrostatic Pressure and Forces Inverse Functions and Derivatives Inverse Trigonometric Functions

Study Guide including work out in class and homework problems over the following objectives: Inverse Trigonometric Functions, Derivatives Integrals Involving Inverse Trigonometric Review of Log Natural Logarithms Exponential Functions Derivative and Integrals Involving Exponential

Study Guide including work out in class and homework problems over the following objectives: Derivatives and Integrals Involving log and exponential Exponential Change and Separable Differential Equations Hyperbolic and Inverse Hyperbolic Functions Derivatives and Integrals

Study Guide including work out in class and homework problems over the following objectives: L'Hopital's Rule Indeterminate Forms Relatives Rates of Growth Basic Integration Techniques

Study Guide including work out in class and homework problems over the following objectives: Trigonometric Substitutions Integration by Parts Integral Tables and CAS Integration of Rational Functions

Review Sheet Including work out in class and homework example problems over the following objectives: Limits of Sequences of Numbers Finite Series Infinite Series Geometric Series Telescoping Series Re-indexing Adding or Deleting Terms The nth Term Test The Integral Test The p-series Direct Comparison Limit Comparison