Applied Mathematical and Physical Formulas. Vukota Boljanovic
12. Distance from a Line to a Point
13. Circles
14. Ellipses
15. Parabolas
16. Hyperbolas
17. Polar Coordinates
18. Cartesian Coordinates
19. Distance between Two Points
20. Angle between Two Lines
21. Planes
22. Line Perpendicular to a Plane
23. Parallel and Perpendicular Planes
24. Distance of a Point from a Plane
25. Normal Form
26. Intercept Form
27. Angle Between Two Planes
28. Straight Line in Space
29. Parametric Form Equations of a Line
30. Symmetric Form Equations of a Line
31. Two-Point Form Equations of a Line
32. Relative Directions of a Line and Plane
33. Sphere
34. Ellipsoid
35. Hyperboloid
36. Elliptic Paraboloid
37. Hyperbolic Paraboloid
MATHEMATICS OF FINANCE
1. Simple Interest
2. Compound Interest
3. Annuities
4. Amortization of Loans
5. Sinking Fund Payment
CALCULUS
1. Limits
2. Rules for Limits
3. Slope of Tangent Line
4. Definition of the Derivative
5. Basic Derivatives
6. Increasing and Decreasing Functions
7. Maximum and Minimum of a Function
8. Solving Applied Problems
9. Integration
10. Basic Integration Rules
11. Integration by Substitution
12. Basic Integrals
13. Arc Length
14. Finding an Area and a Volume
15. Finding the Area between Two Curves
STATISTICS
1. Definition of Set and Notation
2. Terms and Symbols
3. Venn Diagrams
4. Operations on Sets
5. De Morgan’s Laws
6. Counting the Elements in a Set
7. Permutations
8. Combinations
9. Probability Terminology
10. Basic Probability Principles
11. Random Variable
12. Mean Value
13. Variance
14. Standard Deviation
15. Normal Distribution
16. Binomial Distribution
17. Poisson Distribution
18. Exponential Distribution
19. General Reliability Definitions
20. Exponential Distribution Used as Reliability Function
MATHEMATICAL FUNDAMENTALS OF COMPUTER SCIENCE
1. Binary Data Representation
2. Number Systems
3. Decimal Number System
4. Binary Number System
5. Decimal to Binary Number Conversion
6. Counting in Binary
7. Octal Number System
8. Decimal to Octal Number Conversion
9. Binary to Octal Number Conversion and Its Converse
10. Counting in Octal
11. Hexadecimal Number System
12. Binary to Hexadecimal Number Conversion and Its Converse
13. Counting in Hexadecimal
14. Comparison of Number Systems
15. Binary Logic
16. Binary Arithmetic
17. Representation of Signed Numbers in Computers
18. Range of Numbers Written with n Digits
19. Representation of Real Numbers
20. Representation of Character Data Types
21. Information in Binary Form
PART III PHYSICS
MECHANICS
1. Scalars and Vectors
2. Distance and Displacement
3. Acceleration
4. Speed and Velocity
5. Frequency
6. Period
7. Angular Displacement
8. Angular Velocity
9. Angular Acceleration
10. Rotational Speed
11. Uniform Linear Motion
12. Uniform Accelerated Linear Motion
13. Rotational Motion
14. Uniform Rotation about a Fixed Axis
15. Uniform Accelerated Rotation about a Fixed Axis
16. Simple Harmonic Motion
17. Pendulum
18. Free Fall
19. Vertical Projection
20. Angled Projection
21. Horizontal Projection
22. Sliding Motion on an Inclined Plane