Lecture Notes:

Theses notes are from my Fall 2016 MA16010 class. There are a few errors here and there. If you find any, feel free to email me at porter91@purdue.edu.

Lesson 1: Syllabus - 1/9

Lesson 2: Finding Limits Numerically - 1/11

Lesson 3: One Sided Limits and Limits by Graph - 1/13

Lesson 4: Finding Limits Analytically - 1/18

Lesson 5: Continuity - 1/20

Lesson 6: The Derivative - 1/23

Lesson 7: Basic Rules of Differentiation - 1/25

Lesson 8: Instantaneous Rates of Change - 1/27

Lesson 9: The Product Rule - 1/30

Lesson 10: The Quotient Rule - 2/1

Lesson 11: The Chain Rule - 2/6

Lesson 12: The Chain Rule and Logarithms - 2/8

Lesson 13: Higher order Derivatives - 2/10

Lesson 14: Implicit Differentiation - 2/13

Lesson 15: Related Rates (1) - 2/15

Lesson 16: Related Rates (2) - 2/17

Lesson 17: Relative Extrema - 2/20

Lesson 18: Increasing and Decreasing/First Derivative Test - 2/22

Lesson 19: Concavity/Second Derivative Test - 2/24

Lesson 20: Absolute Extrema - 3/3

Lesson 21: Graphical Derivatives - 3/6

Lesson 22: Limits at Infinity - 3/8

Lesson 23: Curve Sketching - 3/10

Lesson 24: Optimization (1) - 3/20

Lesson 25: Optimization (2) - 3/22

Lesson 26: Optimization (3) - 3/24

Lesson 27: Antiderivatives and Integration (1) - 3/27

Lesson 28: Antiderivatives and Integration (2) - 3/29

Lesson 29: Area and Riemann Sums - 3/31 (Unavailable)

Lesson 30: Definite Integrals - 4/7

Lesson 31: FTC (1) - 4/10

Lesson 32: FTC (2) - 4/12

Lesson 33: Numerical Integration - 4/14

Lesson 34: Exponential Growth - 4/17

Lesson 35: Algebra Quiz and CCI - 4/19

Lesson 36: Exponential Decay - 4/21