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Math 401: Calculus i I
In-Class notes:
chapter 5
5.8 Integration: Inverse Trig
5.9 Hyperbolic Functions
Chapter 6
6.2 Diff Eq: Growth & Decay
6.3 Diff Eq: Separation of Variables
Chapter 7
7.1 Area Between Curves
7.2 Vol of Rev: Disk Method
7.3 Vol of Rev: Shell Method
7.4 Arc Length & Surfaces of Rev
7.5 Work
7
.6 Moments, Center of Mass, & Centroids
Chapter 8
8
.1 Basic Integration Rules
8
.2 Integration by Parts
8
.3 Trig Integrals
8
.4 Trig Substitution
8
.5 Partial Fraction Decomposition
8.6 Integration Tables and other Techniques
5
.6 Simpsons and Trap Rule
8
.7 Indeterminate Forms & L'Hopitals Rule
8.8 Improper Integrals
chapter 9
9.1 Sequences
9.2 Series and Convergence
9.3 The Integral Test & p-Series
9.4 Comparison Test
9.5 Alternating Series
9.6 Ratio & Root Test
9.7 Taylor Polynomials & Approximations
9.8 Power Series
9.9 Representation of Functions by Power Series
9.10 Taylor & MacLaurin Series
chapter 10
10.1 Conics & Calculus
10.2 Plane Curves & Parametric Equations
10.3 Parametric Equations & Calc
10.4 Polar Coordinates & Graphs
10.5 Area & Arc Length in Polar
10.6 Polar Equations of Conics & Keplers