Problems

Mathematics

1) Analytic Geometry

1. Lines
2. Distance Formula
3. Circles
4. Parabola
5. Ellipse
6. Hyperbola

2) Trigonometry

1. Right Triangles
2. Trig Ratios
3. Law of Sines
4. Law of Cosines

3) Counting and Combinatorics

1. Counting Principle
2. Permutations
3. Combinations

4) Algebra and Functions

1. Functions
2. Power Functions
3. Quadratic Equations
4. Logarithms
5. Complex Numbers

5) Calculus: Derivatives

1. Derivatives
2. Partial Derivatives
3. L’Hopital’s Rule
4. Critical Points
5. Curvature

6) Calculus: Integration

1. Integration by Substitution
2. Integration by Parts
3. Partial Fractions

7) Series and Sequences

1. Arithmetic Progressions
2. Geometric Progression
3. Power Series
4. Taylor and Maclaurin Series

8) Differential Equations

1. Separable Differential Equations

Engineering Economics

1) Foundations and the big idea

1. Economic Equivalence
2. Cash Flow Analysis

2) Time value of money tools

1. Engineering Economics Formulas
2. Single Payment Formulas
3. Single Payment Tables
4. Uniform Payment Series Formulas
5. Uniform Payment Series Tables
6. Uniform Gradient Payment Series Formulas
7. Uniform Gradient Payment Series Tables

3) When the timeline does not match the rate

1. Non-Annual Compounding
2. Continuous Compounding

4) Core comparison methods

1. Present Worth Analysis
2. Future Worth Analysis
3. Annual Cost Analysis

5) Applications and decision rules

1. Bond Value
2. Payback Period
3. Break Even Analysis
4. Rate of Return Analysis
5. Benefit Cost Analysis

6) Depreciation methods

1. Straight Line Depreciation
2. Double Declining Balance Depreciation
3. MACRS Depreciation

Chemistry

How to Balance a Chemical Equation

Statics

Mohr’s Circle