(SLIDES IN MICROSOFT POWER POINT)
Lesson 1 Information
About the Course. Algebra Review
Lesson 2 Trigonometric
Review
Lesson 3 Functions
Lesson 4 General Exponential
Functions
Lesson 5 Inverse Functions
Lesson 6 Logarithms
Lesson 7 Discontinuity
Lesson 8 Laws of Limits;
Limits by Cancellation
Lesson 9 Limits by Rationalization;
Piecewise Functions; Squeeze Theorem
Lesson 10 Composed Functions
and Locating Roots
Lesson 11 Limits at Inifinity;
Horizontal Assymptotes
Lesson 12 Secant Approximation;
Estimaing the Tangent Slope
Lesson 13 Formula for the Tangent
Slope
Lesson 14 Derivatives of Sums
of Powers
Lesson 15 Applications
Lesson 16 Derivatives of Exponentials
Lesson 17 Tangent Approximation;
Linearization; Margin
Lesson 18 Sign Graphing Lines
and Parabolas
Lesson 19 Sign Graphing Cubic
and Higher Polynomials
Lesson 20 Sign Graphing Rational
Functions
Lesson 21 Derivatives of sin
and cos
Lesson 22 Derivatives of product
and quotient
Lesson 23 Derivatives of tan,
sec, cot, csc
Lesson 24 Differentials
Lesson 25 Chain Rule
Lesson 26 Implicit Differentiation,
Fractional Powers, Orthogonal Curves
MapleLab M5 Newton's Method
Lesson 27 Derivatives of inverse
trig functions and logarithms
Lesson 28 Derivatives of Logarithms
of Expressions
Lesson 29 Trends and Relative
Extremes
Lesson 30 Absolute Extremes
Lesson 31 Concavity and Inflection
Lesson 32 Constrained Optimization
Lesson 33 Rolle's Theorem and
the Mean Value Theorem
Lesson 34 L'Hospital's Rule
Lesson 35 Antiderivatives and
Initial Value Problems; Rectilinear Motion
Lesson 36 Indefinite Integrals
Lesson 37 Integration by Substitution
Lesson 38 More Integration
by Substitution
Lesson 39 Modeling with Differential
Equations and Initial Value Problems
Lesson 40 Separable Equations
Lesson 41 Separable Equations
and Orthogonal Trajectories
Lesson 42 Population Growth;
Multiple Compounding; Exponential Growth
Lesson 42/43 Population Growth;
Radioactive Decay
Lesson 43 Radioactive Decay;
Continuous Compounding; Exponential Decay
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