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Linear Algebra 201-105-RE
Differential Calculus 201-103-RE
Accueil
Linear Algebra 201-105-RE
Differential Calculus 201-103-RE
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Accueil
Linear Algebra 201-105-RE
Differential Calculus 201-103-RE
Integral Calculus 201-NYB-05
INTEGRAL CALCULUS
COURSE PLAN
Summary of Differentiation
Integration Techniques
Trigonometric Formulas
Summary of Series
Antiderivatives
Basic Formulas
Area Problem
Archimedes and the Circle
Riemann Integral
Rectangles
Geometric Interpretation
Important Sums
Evaluation of Integrals
FTC (I)
FTC (Examples)
Properties of the Integral
FTC (II)
Differentiation and Integration
The Indefinite Integral
Basic Integration Formulas
Simple Substitutions
Integration by Parts
Trigonometric Identities
Trig. Int. Sine Cosine
Trig. Int. Secant Tangent
Trigonometric Substitutions
Justification of Trig. Subs.
Area of Circle and Ellipse
Completing the Square
Special Integral
Partial Fractions
Rationalizing Substitutions
Integration Techniques
Numerical Integration
Area Between Curves
Types of Functions
Quadratic Functions
Graphs
Volumes by Cross-Sections
Solids of Revolution (I)
Solids of Revolution (II)
Arc Length (I)
Arc Length (II)
Surface Area
Average Value
Continuous R.V.
Expectation
Differential Equations
Exponential Growth and Decay
Chemistry: Integrated Rates
Applications to Physics
Improper Integrals (I)
Improper Integrals (II)
Comparison Theorem
Gabriel's Horn
Gabriel's Hord (Add)
Sequences
Important Sequences
Series
Harmonic Series
Divergence Test
Geometric Series
Telescoping Series
Integral and p-Series Test
Comparison Tests
Alternating Series Test
Abs. and Cond. Convergence
Rearrangement Theorem
Rearrangement of AHS
Ratio Test
Root Test
Summary of Series
Strategy for Series
Power Series
Functions as Power Series
Maclaurin and Taylor Series
Idea for Maclaurin Series
MS of e^x, sinx , cos x
MS of Sine and Cosine
Euler's Identity
Formulas by Euler
Binomial Theorem
Generalized Binomial Theorem
Power Series of Arcsine
Exercise Sheet 1
Exercise Sheet 2
Exercise Sheet 3
Exercise Sheet 4
Exercise Sheet 5
Exercise Sheet 6
Exercise Sheet 7
Exercise Sheet 8
Exercise Sheet 9
Exercise Sheet 10
Exercise Sheet 11
Exercise Sheet 12
Exercise Sheet 13
Exercise Sheet 14
Exercise Sheet 15
Exercise Sheet 16
Exercise Sheet 17
Exercise Sheet 18
Exercise Sheet 19
Exercise Sheet 20
Exercise Sheet 21
Exercise Sheet 22
Exercise Sheet 23
Exercise Sheet 24
Exercise Sheet 25
Exercise Sheet 26
Exercise Sheet 27
Exercise Sheet 28
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