1. Course introduction and Function

2. Functions Continued (Domain, Range, Co domain)

3. Interval Notation (Writing Domain & Range)

4. Functions and their graphs (polynomial, trignometric, exponential & lograthmic functions)

5. Functions and their graphs (Lograthmic, piecewise, and absolute value function)

6. Functions and their graphs (Absolute value function & shift in graphs)

7. Functions and their graph (shifts and compression in graphs, and challenge question 1)

8. Graphing (challenge question 2)

9. inverse function (Preliminaries and Composition function)

10. inverse function(Basic definition and concept)

11. inverse function(How to find inverse and specific properties)

12. inverse function(specific properties and grapphical interpretation)

13. Limits (Basic concept and why limits does not exist)

14. Limit (why limit does not exist and Laws of limit)

15. Limit (Techniques in solving limits)

16. Limit last (Techniques continued)

17. One sided limit (Basic concept and questions)

18. One sided limit (Some questions and techniques)

19. Sqeez theorem

20. Continuity (Basic concept, conditions for continuity, and types of discontinuity)

21. Continuity (Types of discontinuity)

22. Continuity (Shortcuts to find continuity of a graph)

23. Derevative (Basic definition and First principle)

24. Derevative (More examples on first priciple, and power rule)

25. Derevative (First principle applied on trignometric fucntions)

26. Derivetive Rules

27. Derevetive Rules (Examples)

28. Chain Rule (Basics and examples)

29. Chain Rule (More examples)

30 Where Derivatives Fail

31 Tangents (Basics and some questions)

32 Tangents (Horizontal and Vertical Tangents)

33 Implicit Differentiation (Basics and some questions)

34 Implicit Differentiation (Challenge Question)

35 Parametric Curves (Basics and Parametrization of line segment)

36 Parametric Curves (Parametrization of line segment, derivative of parametric curve)

37 Linear Approximation (1st Method and examples)

38 Linear Approximation (2nd Method and examples)

39 Linear Approximation (relative changes, approximation error)

40 Application of Derivative Extreme Value Theorem

40.1 Application of Derivative Extream Value Theorem

41. Applications of Derivatives Increasing and Decreasing function

42 Applications of derivatives Increasing and Decreasing funcitons (change in slope and critical points, and second derivative test)

43 Applications of derivatives Roll's Theorem

44 Applications of derivatives Mean Value Theorem

45 Derivative of Inverse Functions

46 Derivative of Inverse Trignometric Functions

47. L'Hopital's Rule (Basics and some cases, indeterminate quotient, repeated application, directional limits)

48. L'Hopital's Rule (applied for indeterminate product, sum, difference and exponents)

49. Riemann Sum (Basics and an example)

50. Riemann Sum (Lower Riemann Sum)

51. Riemann Sum (Upper Riemann Sum)

52. Indefinite Integrals (Basic concept and some basic rules)

53. Indefinite Integrals (For Rational powers of x and trignometric functions)

54 Integration by Subsitution

54.5 Integration by subsitution 2

55. Definite Integrals (Basic Concept, rules, and example)

56. Average Value of a Function

57. First Fundamental Theorem

58. Second Fundamental Theorem (Basics and questions)

59. Second Fundamental Theorem (Cancelling areas and Challenge Question)

60. Second Fundamental Theorem (Challenge Question)

61. Integration by parts

1. Fall 2017

2. Fall 2017

3. Fall 2017

4. Fall 2017

5. Fall 2017

6. Fall 2017

7. Fall 2017

8. Fall 2017

1. Fall 18 paper

2. Fall 18 paper

3. Fall 18 paper

4. Fall 18 paper

5. Fall 18 paper

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7. Fall 18 paper

8. Fall 18 paper