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Mathematics, Algebra, Trigonometry and Calculus Learning USB

 

Over 1500+ pages covering a broad range of mathematics from trigonometry, algebra and calculus in extreme detail on USB!

 

This thorough and comprehensive learning tool is perfect for all students, teachers, or anyone else wishing to enhance their mathematical skills and knowledge.

 

This USB drive provides a review of basic arithmetic and continues through some of the early stages of algebra. Emphasis is placed on decimals, percentages and measurements, exponents, radicals and logarithms. Exercises are provided in factoring polynomials, linear equations, ratio, proportion and variation, complex numbers, and quadratic equations. The final assignment affords the student an opportunity to demonstrate what he or she has learned concerning plane figures, geometric construction and solid figures, and slightly touches on numerical trigonometry.

This self-study guide is organized into subject matter areas, each containing learning objectives to help you determine what you should learn together with text and illustrations to help you understand the information.

The questions that appear in this course are designed to help you understand the material in the text. In completing this course, you will improve your professional knowledge.  

 


 
 
Table of Contents
 
Mathematics, Basic Math and Algebra (300 pages)
Chapter
1. Number systems and sets
2. Positive Integers
3. Signed numbers
4. Common fractions
5. Decimals
6. Percentage and measurement
7. Exponents and radicals
8. Logarithms and the slide rule
9. Fundamentals of algebra
10. Factoring polynomials
11. Linear equations in one variable
12. Linear equations in two variables
13. Ratio, proportion, and variation
14. Dependence, function, and formulas
15. Complex numbers
16. Quadratic equations in one variable
17. Plane figures
18. Geometric constructions and solid figures
19. Numerical trigonometry
Appendix 
I. Squares, cubes, square roots, cube roots logarithms and reciprocals of numbers
II. Natural sines, cosines, and tangents of angles from 0 to 90
III. Mathematical symbols
IV. Weights and measures
V. Formulas
Index

Mathematics, Trigonometry (262 pages)
Chapter
1. Logarithms
2. Computations with logarithms
3. Trigonometric measurement
4. Trigonometric analysis
5. Oblique triangles
6. Trigonometric identities and equations
7. Vectors and forces
Appendix 
I. Common logarithms of numbers
II. Natural sines and cosines
III. Natural tangents and cotangents
Index

Mathematics, Pre-Calculus and Introduction to Probability  (374 pages)
Chapter
1. Straight lines
2. Conic sections
3. Tangents, normals and slopes of curves
4. Limits and differentiation
5. Derivatives
6. Integration
7. Integration formulas
8. Combinations and permutations
9. Probability
Appendix
I. Natural tangents and cotangents
Index

Mathematics, Introduction to Statistics, Number Systems and Boolean Algebra (216 pages)
Chapter
1. Sequence and series
2. Mathematical induction and the binomial theorem
3. Descriptive statistics
4. Statistical inference
5. Number systems
6. Sets and subsets
7. Boolean algebra
8. Boolean simplification
9. Matrices and determinants
Index

The Calculus Bible (370 pages)
 
Chapter

1 Functions 
1.1 The Concept of a Function 
1.2 Trigonometric Functions 
1.3 Inverse Trigonometric Functions 
1.4 Logarithmic, Exponential and Hyperbolic Functions 

2 Limits and Continuity
2.1 Intuitive treatment and definitions
2.1.1 Introductory Examples
2.1.2 Limit: Formal Definitions
2.1.3 Continuity: Formal Definitions
2.1.4 Continuity Examples
2.2 Linear Function Approximations
2.3 Limits and Sequences
2.4 Properties of Continuous Functions
2.5 Limits and Infinity

3 Differentiation 
3.1 The Derivative 
3.2 The Chain Rule
3.3 Differentiation of Inverse Functions
3.4 Implicit Differentiation
3.5 Higher Order Derivatives 

4 Applications of Differentiation 
4.1 Mathematical Applications
4.2 Anti Differentiation
4.3 Linear First Order Differential Equations
4.4 Linear Second Order Homogeneous Differential Equations
4.5 Linear Non-Homogeneous Second Order Differential Equations

5 The Definite Integral
5.1 Area Approximation
5.2 The Definite Integral 
5.3 Integration by Substitution
5.4 Integration by Parts
5.5 Logarithmic, Exponential and Hyperbolic Functions
5.6 The Riemann Integral
5.7 Volumes of Revolution
5.8 Arc Length and Surface Area

6 Techniques of Integration 
6.1 Integration by formulae
6.2 Integration by Substitution
6.3 Integration by Parts
6.4 Trigonometric Integrals
6.5 Trigonometric Substitutions
6.6 Integration by Partial Fractions
6.7 Fractional Power Substitutions
6.8 Tangent x/2 Substitution
6.9 Numerical Integration

7 Improper Integrals and Indeterminate Forms
7.1 Integrals over Unbounded Intervals
7.2 Discontinuities at End Points
7.3 Improper Integrals and Indeterminate Forms
7.4 Improper Integrals

8 Infinite Series
8.1 Sequences
8.2 Monotone Sequences
8.3 Infinite Series
8.4 Series with Positive Terms
8.5 Alternating Series
8.6 Power Series
8.7 Taylor Polynomials and Series
8.8 Applications

9 Analytic Geometry and Polar Coordinates
9.1 Parabola
9.2 Ellipse
9.3 Hyperbola
9.4 Second-Degree Equations
9.5 Polar Coordinates
9.6 Graphs in Polar Coordinates
9.7 Areas in Polar Coordinates
9.8 Parametric Equations 
 
 

All manuals are in pdf and are completely searchable and printable!

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