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ENGR 102 Unit 1 Review Sheet
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
- • 4 pages •
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

ENGR 102 Unit 2 Review Sheet
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
- • 10 pages •
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
ENGR 102 Unit 3 Review Sheet
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
- • 9 pages •
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

ENGR 102 Unit 4 Review Sheet
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
- • 7 pages •
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
ENGR 102 Unit 5 Review Sheet
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
- • 8 pages •
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

ENGR 102 Unit 6 Review Sheet
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
- • 7 pages •
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
ENGR 102 Unit 7 Review Sheet
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
- • 11 pages •
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
ENGR 102 Unit 8 Review Sheet
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
- • 8 pages •
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
ENGR 102 Unit 9 Review Sheet
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
- Study guide
- • 1 pages •
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
ENGR 102 Unit 10 Review Sheet
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 

- Study guide
- • 6 pages •
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 

4. Rational Expressions Review Sheet