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Math 125: Hope College

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Math 125: Hope College

This course covers the material typically taught in the first half of a Calculus I course. The calculus material is supplemented by reviewing topics of high school mathematics as needed. The calculus topics are also taught at a slower pace. Topics include function review, limits and continuity, the concept (and definition) of a derivative, and differentiation rules (product rule, quotient rule, chain rule are included).

Mathematics
Author
Katharine Vance
Publisher
Hope College
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 40 sections
  1. 01: Algebra Essentials
  2. 1.01: Real Numbers - Algebra Essentials
  3. 1.02: Exponents and Scientific Notation
  4. 1.03: Radicals and Rational Expressions
  5. 1.04: Polynomials
  6. 1.05: Factoring Polynomials
  7. 1.06: Rational Expressions
  8. 1.07: The Rectangular Coordinate Systems and Graphs
  9. 1.08: Linear Equations in One Variable
  10. 1.09: Quadratic Equations
  11. 1.10: Other Types of Equations
  12. 02: Function Essentials
  13. 2.01: Functions and Function Notation
  14. 2.02: Domain and Range
  15. 2.03: Rates of Change and Behavior of Graphs
  16. 2.04: Transformation of Functions
  17. 03: Derivative Essentials
  18. 3.01: How do we Measure Velocity
  19. 3.02: The Notion of Limit
  20. 3.03: The Derivative of a Function at a Point
  21. 3.04: The Derivative Function
  22. 3.05: Limits Continuity and Differentiability
  23. 3.06: The Mean Value Theorem
  24. 04: Applications of the Derivative
  25. 4.01: Interpretating Estimating and Using the Derivative
  26. 4.02: The Second Derivative
  27. 4.03: The Tangent Line Approximation
  28. 4.04: Elementary Derivative Rules
  29. 05: Trigonometry Essentials
  30. 5.01: Angles
  31. 5.02: Right Triangle Trigonometry
  32. 5.03: Unit Circle
  33. 5.04: The Other Trigonometric Functions
  34. 5.05: Graphs of the Sine and Cosine Functions
  35. 06: Differentiation Rules and Applications
  36. 6.01: The Sine and Cosine Function
  37. 6.02: The Product and Quotient Rules
  38. 6.03: Derivatives of Other Trigonometric Functions
  39. 6.04: The Chain Rule
  40. 6.05: Derivatives of Functions Given Implicitely