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CH 1 Function
Function and Graphs
Combining Function
Trigonometric Function
CH 2 Limits and Continuity
Limits of Sequences
The Limit of a Function
Continuity
CH 3 Derivatives
Derivatives and Rates of Chage
Derivative as a function
Differentiation Formulas
Derivatives of Trigonometric Function
Chain Rule and Implicit Differentiation
Linear Approximation and Differential
CH 4 Applications of Differentiation
Maximum and Minimum Value
The Mean Value Theorem
How Derivatives affect the shape of a graph
Newton's Method
CH 5 Integrals
Indefinite Integral
Definite Integral
Application of Integration
CH 6 Techniques of Integration
Integration by Part
Trigonometric Integrals
Integration of Rational Functions by Partial Fractions
Integral Formula
CH 7 Inverse Function
Inverse Function
Exponential Function and their Derivatives
logarithmic function
Inverse Trigonometric Functions
Hyperbolic Function
Indeterminate Form and L'Hospital's Rule
CH 8 Infinite Sequences and Series
Sequence
Series
The Integral Test and Estimates of Sums
The Comparison Test
Alternating Series
Absolute Convergence and The Ratio and Root Test
Power Series
Taylor and Maclaurin Series
CH 9 Vector
Three-Dimensional Coordinate system
Vectors
The Dot Product
The Cross Product
Equation of Line and Planes
CH 10 Vector Functions
Vector Functions and Space Curve
Derivatives and Integrals of Vector Function
Arc Length and Curvature
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