MATH 10560 Lectures
Lecture 2: The Natural Logarithm
Lecture 3: The Natural Exponential Function
Lecture 4: General Logarithms and Exponentials
Lecture 5: Exponential Growth and Decay
Lecture 6: Inverse Trigonometric Functions
Lecture 8: Integration by Parts
Lecture 9: Trigonometric Integrals
Lecture 10: Trigonometric Substitution
Lecture 11/12: Partial Fractions
Lecture 13: Strategy for Integration
Lecture 14: Approximating Integrals
Lecture 15: Improper Integrals
Lecture 17: Moments and Centers of Mass
Lecture 18: Direction Fields and Euler's Method
Lecture 19: Separable Equations
Lecture 20/.21: First and Second Order Differential Equations
Lecture 22: Second Order Non-Homogeneous Differential Equations
Lecture 27: Alternating Series
Lecture 28: Ratio and Root Test
Lecture 29: Strategy for Testing Series
Lecture 31: Representing Functions as Power Series
Lecture 32: Taylor and McLaurin Series
Lecture 33: Applications of Taylor Series