You are here

Technical Mathematics with Calculus

Paul A. Calter and Michael A. Calter
Publisher: 
John Wiley
Publication Date: 
2006
Number of Pages: 
1008
Format: 
Hardcover
Edition: 
5
Price: 
115.95
ISBN: 
0471695920
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee strongly recommends this book for acquisition by undergraduate mathematics libraries.

There is no review yet. Please check back later.

 

1. Review of Numerical Computation.

1-1. The Real Numbers.

1-2. Addition and Subtraction.

1-3. Multiplication.

1-4. Division.

1-5. Powers and Roots.

1-6. Combined Operations.

1-7. Scientific Notation and Engineering Notation.

1-8. Units of Measurements.

1-9. Percentage.

Chapter 1. Review Problems.

2. Introduction to Algebra.

2-1. Algebraic Expressions.

2-2. Addition and Subtraction of Polynomials.

2-3. Laws of Exponents.

2-4. Product of Two Monomials.

2-5. Product of a Multinomial and a Monomial.

2-6. Product of Two Binomials.

2-7. Product of Two Multinomials.

2-8. Powers of Multinomials.

2-9. Removing Symbols of Grouping.

2-10. Quotient of Two Monomials.

2-11. Dividing a Polynomial by a Monomial.

2-12. Quotient of Two Polynomials.

Chapter 2. Review Problems.

3. Simple Equations and Word Problems.

3-1. Solving First-Degree Equations.

3-2. Solving Word Problems.

3-3. Uniform Motion.

3-4. Financial.

3-5. Mixtures.

3-6. Statics.

Chapter 3. Review Problems.

4. Functions and Graphs.

4-1. Functions.

4-2. Graphing a Function.

4-3. Graphing a Function by Calculator.

4-4. Solving Equations Graphically.

4-5. More on Functions.

Chapter 4. Review Problems.

5. Geometry.

5-1. Straight Lines and Angles.

5-2. Triangles.

5-3. Quadrilaterals.

5-4. The Circle.

5-5. Volumes and Areas of Solids.

Chapter 5. Review Problems.

6. Right Triangles.

6-1. The Trigonometric Functions.

6-2. Solution of Right Triangles.

6-3. Applications of the Right Triangle.

6-4. Introduction to Vectors.

6-5. Applications of Vectors.

Chapter 6. Review Problems.

7. Oblique Triangles and Vectors.

7-1. Trigonometric Functions of Any Angle.

7-2. Finding the Angle When the Trigonometric Function Is Known.

7-3. Law of Sines.

7-4. Law of Cosines.

7-5. Applications.

7-6. Resultants of Nonperpendicular Vectors.

Chapter 7. Review Problems.

8. Systems of Linear Equations.

8-1. Systems of Two Linear Equations

8-2. Other Systems of Equations

8-3. Applications

8-4. Systems of Three Linear Equations

Chapter 8. Review Problems

9. Determinants and Matrices.

9-1. Introduction to Matrices.

9-2. Solving a System of Equations by the Unit Matrix Method.

9-3. Second-Order Determinants.

9-4. Higher-Order Determinants.

Chapter 9. Review Problems.

10. Factors and Fractions.

10-1. Common Factors.

10-2. Difference of Two Squares.

10-3. Factoring Trinomials.

10-4. Other Factorable Trinomials.

10-5. Simplification of Fractions.

10-6. Multiplication and Division of Fractions.

10-7. Addition and Subtraction of Fractions.

10-8. Complex Fractions.

10-9. Fractional Equations.

10-10. Literal Equations and Formulas.

Chapter 10. Review Problems.

11. Quadratic Equations.

11-1. Solving a Quadratic Equation by Calculator.

11-2. Solving Quadratics by Formula.

11-3. Applications.

Chapter 11. Review Problems.

12. Exponents and Radicals.

12-1. Integral Exponents.

12-2. Simplification of Radicals.

12-3. Operations with Radicals.

12-4. Radical Equations.

Chapter 12. Review Problems.

13. Radian Measure, Arc Length, and Rotation.

13-1. Radian Measure.

13-2. Arc Length.

13-3. Uniform Circular Motion.

Chapter 13. Review Problems.

14. Graphs of the Trigonometric Functions.

14-1. Graphing the Sine Wave by Calculator.

14-2. Manual Graphing of the Sine Wave.

14-3. The Sine Wave as a Function of Time.

14-4. Graphing of the Other Trigonometric Functions.

14-5. Graphing Parametric Equations.

14-6. Graphing in Polar Coordinates.

Chapter 14. Review Problems.

15. Trigonometric Identities and Equations.

15-1. Fundamental Identities.

15-2. Sum or Difference of Two Angles.

15-3. Functions of Double Angles and Half-Angles.

15-4. Evaluating Trigonometric Expressions.

15-5. Solving Trigonometric Equations.

Chapter 15. Review Problems.

16. Ratio, Proportion, and Variation.

16-1. Ratio and Proportion.

16-2. Similar Figures.

16-3. Direct Variation.

16-4. The Power Function.

16-5. Inverse Variation.

16-6. Functions of More Than One Variable.

Chapter 16. Review Problems.

17. Exponential and Logarithmic Functions.

17-1. The Exponential Function.

17-2. Logarithms.

17-3. Properties of Logarithms.

17-4. Exponential Equations.

17-5. Solving Logarithmic Equations.

Chapter 17. Review Problems.

18. Complex Numbers.

18-1. Complex Numbers in Rectangular Form.

18-2. Complex Numbers in Polar Form.

18-3. Complex Numbers on the Calculator.

18-4. Vector Operations Using Complex Numbers.

18-5. Alternating Current Applications.

Chapter 18. Review Problems.

19. Sequences, Series, and the Binomial Theorem.

19-1. Sequences and Series.

19-2. Arithmetic Progressions.

19-3. Geometric Progressions.

19-4. Infinite Geometric Progressions.

19-5. The Binomial Theorem.

Chapter 19. Review Problems.

20. Analytic Geometry.

20-1. The Straight Line.

20-2. The Circle.

20-3. The Parabola.

20-4. The Ellipse.

20-5. The Hyperbola.

Chapter 20. Review Problems.

21. Derivatives of Algebraic Functions.

21-1. Limits.

21-2. Rate of Change and the Tangent.

21-3. The Derivative.

21-4. Rules for Derivatives.

21-5. Derivative of a Function Raised to a Power.

21-6. Derivatives of Products and Quotients.

21-7. Other Variables, Implicit Relations, and Differentials.

21-8. Higher-Order Derivatives.

Chapter 21. Review Problems.

22. Graphical Applications of the Derivative.

22-1. Equations of Tangents and Normals.

22-2. Maximum, Minimum, and Inflection Points.

22-3. Sketching, Verifying, and Interpreting Graphs.

Chapter 22. Review Problems.

23. More Applications of the Derivative.

23-1. Rate of Change.

23-2. Motion of a Point.

23-3. Related Rates.

23-4. Optimization.

Chapter 23. Review Problems.

24. Integration.

24-1. The Indefinite Integral.

24-2. Rules for Finding Integrals.

24-3. Constant of Integration.

24-4. The Definite Integral.

24-5. Approximate Area under a Curve.

24-6. Exact Area under a Curve.

Chapter 24. Review Problems.

25. Applications of the Integral.

25-1. Applications to Motion.

25-2. Applications to Electric Circuits.

25-3. Finding Areas by Means of the Definite Integral.

25-4. Volumes by Integration.

Chapter 25. Review Problems.

26. More Applications of the Integral.

26-1. Length of Arc.

26-2. Area of Surface of Revolution.

26-3. Centroids.

26-4. Fluid Pressure.

26-5. Work.

26-6. Moment of Inertia.

Chapter 26. Review Problems.

27. Trigonometric, Logarithmic, and Exponential Functions.

27-1. Derivatives of the Sine and Cosine Functions.

27-2. Derivatives of the Other Trigonometric Functions.

27-3. Derivatives of the Inverse Trigonometric Functions.

27-4. Derivatives of Logarithmic Functions.

27-5. Derivatives of the Exponential Function.

27-6. Integrals of Exponential and Logarithmic Functions.

27-7. Integrals of the Trigonometric Functions.

27-8. Average and Root-Mean-Square Values.

Chapter 27. Review Problems.

28. First-Order Differential Equations.

28-1. Definitions.

28-2. Graphical and Numerical Solution of Differential Equations.

28-3. First-Order Differential Equation, Variables Separable.

28-4. Exact First-Order Differential Equations.

28-5. First-Order Homogeneous Differential Equations.

28-6. First-Order Linear Differential Equations.

28-7. Geometric Applications of First-Order Differential Equations.

28-8. Exponential Growth and Decay.

28-9. Series RL and RC Circuits.

Chapter 28. Review Problems. 29. Second-Order Differential Equations.

29-1. Second-Order Differential Equations.

29-2. Constant Coefficients and Right Side Zero.

29-3. Right Side Not Zero.

29-4. Mechanical Vibrations.

29-5. RLC Circuits.

Chapter 29 Review Problems.

Appendix A: Summary of Facts and Formulas.

Appendix B: Conversion Factors.

Appendix C: Table of Integrals.

Appendix D: Answers to Selected Problems.

Index.

Dummy View - NOT TO BE DELETED