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Informal Calculus with Applications to Biological and Environmental Sciences

Nguồn ngoài

Informal Calculus with Applications to Biological and Environmental Sciences

This book is an approachable introduction to calculus with applications to biology and environmental science. The text focuses on intuitive understanding of concepts, but still covers most of the algebra and calculations common in a survey of calculus course.

CalculusMathematics
Tác giả
Tyler Seacrest
Nhà xuất bản
University of Montana Western
Nguồn
LibreTexts
Giấy phép
CC BY
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 76 mục
  1. 01: Algebra Tips and Tricks- Part I
  2. 1.01: Algebra Tips and Tricks Part I (Combining Terms Distributing Functions Graphing)
  3. 1.02: Homework for Algebra Tips and Tricks- Part I
  4. 02: Derivative Introduction
  5. 2.01: Ball Toss Project
  6. 2.02: Position to Velocity
  7. 2.03: Homework- Position to Velocity
  8. 2.04: Algebra Tips and Tricks Part II (Piecewise Defined Functions)
  9. 2.05: Limits
  10. 2.06: Homework- Limits
  11. 2.07: Algebra Tips and Tricks Part III (Factoring)
  12. 2.08: Algebraic Limits
  13. 2.09: Homework- Algebraic Limits
  14. 2.10: Instantaneous Velocity
  15. 2.11: Homework- Instantaneous Velocity
  16. 2.12: Algebra Tips and Tricks IV (Tips for dealing with fractions)
  17. 2.13: Definition of Derivative Examples
  18. 2.14: Project- Hard Definition of Derivative Problems
  19. 2.15: Homework- Examples of the Definition of the Derivative
  20. 2.16: Project- Killdeer Migration Speed
  21. 03: Rules for Derivatives
  22. 3.01: Algebra Tips and Tricks Part V (Exponents)
  23. 3.02: Power Rule
  24. 3.03: Homework- Power Rule
  25. 3.04: Algebra Tips and Tricks Part VI (Logarithms)
  26. 3.05: Exponentials Logarithms and Trig Functions
  27. 3.06: Homework- Exponents Logs Trig Functions
  28. 3.07: Product Rule
  29. 3.08: Homework- Product Rule
  30. 3.09: Quotient Rule
  31. 3.10: Homework- Quotient Rule
  32. 3.11: Chain Rule
  33. 3.12: Homework- Chain Rule
  34. 3.13: Multirule Derivatives
  35. 3.14: Homework- Multirule Derivatives
  36. 3.15: Anti-derivatives
  37. 3.16: Homework- Anti-derivatives
  38. 04: More Derivative Intuition
  39. 4.01: Derivatives and Graphs
  40. 4.02: Homework- Derivative Graphs
  41. 4.03: Second Derivatives and Interpreting the Derivative
  42. 4.04: Homework- Second Derivatives and Interpreting the Derivative
  43. 4.05: Optimization
  44. 4.06: Homework- Optimization
  45. 4.07: Derivatives in Space
  46. 4.08: Homework- Derivatives in Space
  47. 05: Differential Equations
  48. 5.01: Recurrance Relations
  49. 5.02: Homework- Recurrence Relations
  50. 5.03: Introduction to Differential Equations
  51. 5.04: Homework- Introduction to Differential Equations
  52. 5.05: Understanding Differential Equations
  53. 5.06: Homework- Understanding Differential Equations
  54. 5.07: Initial Value Problems
  55. 5.08: Homework- Initial Value Problems
  56. 5.09: Growth and Decay
  57. 5.10: Homework- Growth and Decay
  58. 5.11: Exploring Graphs of Differential Equations
  59. 5.12: Project- Modelling with Differential Equations
  60. 06: Intuition for Integration
  61. 6.01: Introduction to Integrals
  62. 6.02: Numeric Integration Techniques
  63. 6.03: Homework- Numeric Integration Techniques
  64. 6.04: Fundamental Theorem of Calculus
  65. 6.05: Homework- The Fundamental Theorem of Calculus
  66. 6.06: Project- Measuring Streamflow
  67. 6.07: Project- Quake Lake
  68. 07: Rules for Integration
  69. 7.01: Power exponential trig and logarithm rules
  70. 7.02: Homework- Power exponential trig and logarithmic rules
  71. 7.03: u-substitution
  72. 7.04: Homework- u-substitution
  73. 7.05: Integral Applications
  74. 7.06: Homework- Integral Applications
  75. 7.07: Integration by Parts
  76. 7.08: Homework- Integration by Parts