INSTRUCTIONS: Using a computer which holds Microsoft
Power
Point, click on the link for one of the lessons.
The software will allow you to open a lesson in Power Point.
Then to print, hold down Control and press P.
Instead of slides, choose handouts, and the default will give
you 6 to a page (instead of 1 to a page).
Lesson 1 Information
About
the Course. Review of Algebraic Substitution
Lesson 2 Review of
Algebraic
Substitution of Trig Expressions
Lesson 3 Sum Notation
Lesson 4 Areas and
Distances
Lesson 5 Definite
Integral,
Ln, Rn, Tn
Lesson 6 Midpoint rule;
properties of integrals
Lesson 7 Fundamental
Theorem of Calculus, Part 1
Lesson 8 Fundamental
Theorem of Calculus, Part 2
Lesson 9 Definite
Integral;
Change Theorem
Lesson 10 Substitution in a
Definite Integral
Lesson 11 Symmetric Integrals;
Natural Logarithm Defined by a Definite Integral
Lesson 12 Area Between Curves
Lesson 13 Volumes by
Cross-Sections
(Discs and Washers)
Lesson 14 Volumes by Shells
Lesson 15 Work
Lesson 16 Average Value of
a Function
TEST 1
Lesson 17 Integration by Parts
Lesson 18 Trigonometric
Integrals
Lesson 19 Trigonometric
substitutution
Lesson 20 Hyperbolic functions
and substitution
Lesson 21 Integrating rational
functions, using partial fraction representation
Lesson 22 Approximate
Integration
Lesson 23 Integrating over
Unbounded Intervals
Lesson 24 Integrating
Discontinuous
(Unbounded) Integrands
Lesson 25 Arc Length
Lesson 26 Area of a Surface
of Revolution
TEST 2
Lesson 27 Introduction to
Sequences
Lesson 28 Sequences:
divergence,
geometric, recursion
Lesson 29 Introduction to
Series
Lesson 30 Telescoping and
Harmonic
Series
Lesson 31 Integral Test
Lesson 32 Comparison Test and
Limit Comparison Test
Lesson 33 Alternating Series
Test
Lesson 34 Absolute Convergence
Lesson 35 Ratio and Root Tests
Lesson 36 Strategy to Test
Series
REVW 3 MISTAKES
to avoid when deciding convergence of series of positive terms
TEST 3
Lesson 37 Power Series
Centered
at Zero
Lesson 38 Power Series Not
Centered at Zero
Lesson 39 Representing
Functions
as Power Series
Lesson 40 Differentiating and
Integrating Power Series
Lesson 41 McLaurin Series
Lesson 42 Taylor Series
Lesson 43 Binomial Series;
Taylor Polynomials
Lesson 44 Modeling with
Differential
Equations and Initial Value Problems
Lesson 45 Direction Fields
and Euler Equations
Lesson 46 Separable Equations
Lesson 47 Orthogonal
Trajectories
Lesson 48 Population Growth;
Radioactive Decay
TEST 4
Lesson 49 strategy for integration
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