Dr. Nandor's Calculus Notes Page

 

 

 

Class Notes - click below for various class notes - you still have to take notes in class!  These are only outlines and some examples!

 

00 Introduction

01 Graphing Calculators

03 Limits

04 Evaluating Limits

05 Continuity

06 Derivatives

07 Differentiation Rules

08 Product Rule

09 Chain Rule

10 Implicit Differentiation

11 Related Rates

12 Extrema

13 Rolle's Theorem and Mean Value Theorem

14 First Derivative Test

15 Concavity

16 Limits at Infinity

17 Curve Sketching

18 Optimization

19 Newton's Method

20 Antiderivatives

21 Area

22 Riemann Sums

23 FTC and MVT for Integrals

24 Integration by Substitution

25 Numerical Integration

26 Ln(x) and Differentiation

27 Ln(x) and Integration

28 Inverse Functions

29 ex

30 ax

31 DEs - Growth/Decay

32 DEs - Separation of Variables

33 Area Between Two Curves

34 Volume - Discs and Cross Sections

35 Volume - Shells

36 Arclength and Surface Area

37 Work

40 Integration Rules

41 Integration by Parts

43 Trig Sub

44 Partial Fractions

45 Look-up Method

46 L'Hopital's Rule

47 Improper Integrals

48 Sequences

49 Series

50 Integral Test and P-Series

51 Comparison Test

52 Alternating Series

53 Ratio and Root Tests

54 Taylor Polynomials

55 Power Series

56 Obtaining Power Series

57 Taylor Series

58 Conics

59 Parametrics

60 More Parametrics

61 Polar Coordinates

62 Area in Polar Coordinates

63 Complex Numbers

64 Partial Derivatives

65 Calculus of Variations

 

 

 

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