Math 1102 Calculus II

Topic Lecture Resources
Course Introduction
Prerequisite Quiz Review Mathematica Basics
Review Trig, Exponentials, and Logarithms Making Sense of Trig
Review Derivatives Leibniz Notation
Review Integration Making Sense of Basic Integrals
6.1 Areas Between Curves 6.1.50 (MMA file)
6.2 Volumes examples
Surface of Revolution (MMA)
Demo of the Washer Method
6.3 Volume by Cylindrical Shells examples
6.5 Average Value of a Function
7.1 Integration by Parts examples
7.2 Trigonometric Integrals examples
7.3 Trigonometric Substitution examples examples | 7.3.5
7.4 Partial Fractions examples
7.5 Strategy for Integration examples
7.8 Improper Integrals examples
7.6 Integration Using Tables and CAS
7.7 Approximate Integration examples (MMA file)
7.7.7 (MMA file)
8.3 Applications to Physics and Engineering Moments and Center of Mass
8.3 Applications to Physics and Engineering Example from Lecture (MMA file)
8.4 Applications to Economics and Biology lecture notes and examples from Economics
8.4 Applications to Economics and Biology AUC for blood plasma
8.5 Probability
11.1 Sequences Limit of a Sequence
Closer look at Monotonic Sequence Theorem		 examples
On-Line Encyclopedia of Integer Sequences
11.2 Series Limit of Sequence and Summing Series (MMA)
Square of Sums = Sum of Cubes		 examples
Geometry Gives Rise to Sequences and Series
Fractal Application of Series
11.3 The Integral Test and Estimates of Sums examples
11.4 The Comparison Tests examples
11.5 Alternating Series examples
11.6 Absolute Convergence: The Ratio and Root Tests examples
11.7 Strategy For Testing Series for Convergence Choosing a Test
Concept Map for Sequences & Series		 examples
11.8 Power Series Geometry Gives Rise to Sequences and Series examples
11.9 Representations of Functions as Power Series examples
11.10 Taylor and Maclaurin Series examples
What is "0!"?
11.11 Applications of Taylor Series Applications Concept Map for Taylor Series
9.1 Modeling with Differential Equations examples (MMA file)
9.2 Direction Fields and Euler's Method examples (MMA file)
Direction Field and Euler's Method (MMA file)
9.3 Separable Equations examples (MMA file) examples
9.4 Models for Population Growth
9.5 Linear Equations
9.6 Predator-Prey Systems Predator Prey Systems (MMA file)
10.1 Curves Defined by Parametric Equations
10.2 Calculus with Parametric Curves Arc Length Thoughts Examples from Lecture
10.3 Polar Coordinates examples
10.4 Areas and Lengths in Polar Coordinates examples
Review: Integral Types, Volume of Revolution, Integration Techniques, Separable DE, Arc Length, Probability Density Function, Orthogonal Trajectories, Sequences and Series.

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