Technical Mathematics with Calculus, 6th Edition

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Technical Mathematics with Calculus, 6th Edition

By Paul A. Calter, Michael A. Calter

Technical Mathematics with Calculus is designed to provide a mathematically rigorous, comprehensive coverage of topics and applications, while still being accessible to students. This course focuses on developing students’ critical thinking skills as well as improving their proficiency in a broad range of technical math topics such as algebra, linear equations, functions, and integrals. Everything the technical student may need is included, with the emphasis always on clarity and practical applications.

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Chapter 1. Review of Numerical Computation
Chapter 2. Introduction to Algebra
Chapter 3. Simple Equations and Word Problems
Chapter 4. Functions
Chapter 5. Graphs
Chapter 6. Geometry
Chapter 7. Right Triangles and Vectors
Chapter 8. Oblique Triangles and Vectors
Chapter 9. Systems of Linear Equations
Chapter 10. Matrices and Determinants
Chapter 11. Factoring and Fractions
Chapter 12. Quadratic Equations
Chapter 13. Exponents and Radicals
Chapter 14. Radian Measure, Arc Length, and Rotation
Chapter 15. Trigonometric, Parametric, and Polar Graphs
Chapter 16. Trigonometric Identities and Equations
Chapter 17. Ratio, Proportion, and Variation
Chapter 18. Exponential and Logarithmic Functions
Chapter 19. Complex Numbers
Chapter 20. Sequences, Series, and the Binomial Theorem
Chapter 21. Introduction to Statistics and Probability
Chapter 22. Analytic Geometry
Chapter 23. Derivatives of Algebraic Functions
Chapter 24. Graphical Applications of the Derivative
Chapter 25. More Applications of the Derivative
Chapter 26. Integration
Chapter 27. Applications of the Integral
Chapter 28. More Applications of the Integral
Chapter 29. Trigonometric, Logarithmic, and Exponential Functions
Chapter 30. First-Order Differential Equations
Chapter 31. Second-Order Differential Equations

A. Summary of Facts and Formulas
B. Conversion Factors
C. Table of Integrals
D. Answers to Selected Problems
Index to Applications
General Index

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